text:
User:Eml4500.f08.gravy.jad/Notes7.g

Tapered bar problem
Element 1: E1(1)=2, E2(1)=4, A1(1)=.5, A2(1)=1.5

Element 2: E1(2)=3, E2(2)=7, A1(2)=1, A2(2)=3

A comparison of the solution for 2-bar truss with tapered elements are shown in a previous report. Modification of 2-bar truss code to accommodate general k(i)

Frame element is a truss bar element(which is axial deformation) and a beam element (which is transverse deformation).

Model frame problem with two elements

Free Body diagrams for the elements

$$d_1^{(1)} \longrightarrow f_1^{(1)}$$

$$ d_2^{(1)} \longrightarrow f_2^{(1)}$$

$$d_3^{(1)} \longrightarrow f_3^{(1)}$$

$$ d_4^{(1)} \longrightarrow f_4^{(1)}$$

$$d_5^{(1)} \longrightarrow f_5^{(1)}$$

$$ d_6^{(1)} \longrightarrow f_6^{(1)}$$

$$d_1^{(2)} \longrightarrow f_1^{(2)}$$

$$d_2^{(2)} \longrightarrow f_2^{(2)}$$

$$d_3^{(2)} \longrightarrow f_3^{(2)}$$

$$d_4^{(2)} \longrightarrow f_4^{(2)}$$

$$ d_5^{(2)} \longrightarrow f_5^{(2)}$$

$$d_6^{(2)} \longrightarrow f_6^{(2)}$$

$$ d_2^{(1)} \longrightarrow f_2^{(1)}$$

$$d_3^{(1)} \longrightarrow f_3^{(1)}$$

$$ d_4^{(1)} \longrightarrow f_4^{(1)}$$

$$d_5^{(1)} \longrightarrow f_5^{(1)}$$

$$d_6^{(1)} \longrightarrow f_6^{(1)}$$

In general, $$d_i^{(e)} \longrightarrow \underbrace{f_i^{(e)}}_{general forces}$$

e=1,2  i=1,...,6

$$\begin{matrix} d_3^{(e)}\\ d_6^{(e)} \end{matrix} \}$$ rotational degrees of freedom $$\longrightarrow \begin{matrix} f_3^{(e)}\\ f_6^{(e)} \end{matrix} \} $$ bending moments

2-D Frame global dofs;

Two element stiffness matrices with $$ \mathbf{k}_{6x6}^{(e)}, e=1,2$$

and the Global stiffness matrix becomes $$ \mathbf{k}_{9x9}= A_{e=1}^{e=2}\mathbf{k}_{6x6}^{(e)}$$

$$ \tilde{\mathbf{k}_{6x6}^{(e)}}\tilde{\mathbf{d}_{6x1}^{(e)}}= \tilde{\mathbf{f}_{6x1}^{(e)}}$$

$$ \tilde{\mathbf{d}^{(e)}}= \begin{bmatrix} d_1^{e} \\ d_2^{e} \\ d_3^{e} \\ d_4^{e} \\ d_5^{e} \\ d_6^{e} \end{bmatrix}$$, $$\tilde{\mathbf{f}^{(e)}}= \begin{bmatrix} f_1^{e} \\ f_2^{e} \\ f_3^{e} \\ f_4^{e} \\ f_5^{e} \\ f_6^{e} \end{bmatrix}$$

Note: $$\tilde{\mathbf{f}_3^{(e)}}= \mathbf{f}_3^{(e)}, \tilde{\mathbf{f}_6^{(e)}}= \mathbf{f}_6^{(e)}$$ moments about $$\tilde{x}=z$$

Dimensional Analysis
$$ \underbrace{\left[\tilde{d_1}\right]}_{dimension of} = \underbrace{L}_{Length}= \underbrace{\left[\tilde{d_1}\right]}_{displacement}$$ i=1,2,4,5

$$\left[\tilde{d_3}\right]= \underbrace{1}_{No dimension}=\underbrace{\left[\tilde{d_6}\right]}_{rotational}$$

$$\underbrace{\widehat{AB}}_{arc lenth}=R \underbrace{\theta}_{radians}$$

$$ \theta=\frac{\widehat{AB}}{R}$$

$$\left[\theta\right]=\frac{\widehat{\left[AB\right]}}{\left[R\right]}=\frac{L}{L}=1$$

$$\sigma=E \epsilon \Rightarrow \left[\sigma\right]=\left[E \right]\underbrace{\left[\epsilon\right]}_1$$

$$\ \left \lbrack \epsilon \right \rbrack = \frac{\left \lbrack du \right \rbrack}{\left \lbrack dx \right \rbrack} = \frac{L}{L}= 1 \,$$

$$\ \left \lbrack \sigma \right \rbrack = \left \lbrack E \right \rbrack = \frac{F}{L^{2}} \,$$

$$\ \left \lbrack A \right \rbrack = L^{2}, \left \lbrack I \right \rbrack = L^{4} \,$$

$$\ \left \lbrack \frac{EA}{L} \right \rbrack = \left \lbrack \tilde{k}_{11} \right \rbrack = \frac {\left ( F/L^2 \right ) \left ( L^2 \right )}{L} = \frac{F}{L} \,$$

$$\ \left \lbrack \tilde{k}_{11} \tilde{d}_{1} \right \rbrack = \left \lbrack \tilde{k}_{11} \right \rbrack \left \lbrack \tilde{d}_{1} \right \rbrack = F \,$$

$$\ \left \lbrack \tilde{k}_{23} \tilde{d}_{3} \right \rbrack = \left \lbrack \tilde{k}_{23} \right \rbrack \left \lbrack \tilde{d}_{2} \right \rbrack = \frac {\left \lbrack 6 \right \rbrack \left \lbrack E \right \rbrack \left \lbrack I \right \rbrack}{\left \lbrack L^2 \right \rbrack} = \frac{1.(F/L^2).L^4}{L^2} = F \,$$

Verifying the dimensions of all the terms in the stiffness matrix multiplied by the displacement matrix
Elem FD rel. in golbal coordinate from element FD rel. in local coordinate:

ie. obtain

$$\ \mathbf{k}^e_{6x6} \mathbf{d}^e_{6x1} = \mathbf{f}^e_{6x1} \,$$ $$\ \mathbf{k}^e_{6x6} = \mathbf{\tilde{T}}^{e^{T}}_{6x6} \mathbf{\tilde{k}}^e_{6x6} \mathbf{\tilde{T}}^{e}_{6x6} \,$$ from $$\ \tilde{\mathbf{k}}^e_{6x6} \tilde{\mathbf{d}}^e_{6x1} = \tilde{\mathbf{f}}^e_{6x1} \,$$

Obtaining Element FD relation in global coord. From element FD relation in local coord.
$$\ \begin{Bmatrix} \tilde{d}_{1} \\ \tilde{d}_{2} \\ \underline{\tilde{d}}_{3} \\ \tilde{d}_{4} \\ \tilde{d}_{5} \\ \underline{\tilde{d}}_{6} \end{Bmatrix}_{6x1} = \underbrace {\begin{bmatrix} \mathbf{\underline{R}}& &0&0&0\\ & & 0&0&0&0\\ 0&0&\mathbf{1}&0&0&0\\ 0&0&0& \mathbf{\underline{R}}& &0\\ 0&0&0& & &0\\ 0&0&0&0&0&\mathbf{1} \end{bmatrix}_{6x6}}_{\tilde{\mathbf{T}}} \begin{Bmatrix} d_1\\d_2\\ \underline{d}_3\\d_4\\d_5\\ \underline{d}_6 \end{Bmatrix}_{6x1} \,$$ where $$\ \underline{d}_3 \,$$ and $$\ \underline{d}_6 \,$$ are rotational components, not displacement components

Two Bar Frame Element in Matlab
The two bar frame system is the same one analyzed in HW2 and HW5, with the same lengths, areas and elasticities for both elements, but for this case, the elements are considered to be frame elements with square cross sections. This requires adding the moment of inertia to the previous code and using PlaneFrameElement.m, taken from here, to build the global stiffness matrix.

Plotted deformed shape on top of previous figure

Derivation of $$\ \mathbf{\tilde{k}}^{(e)} \,$$ from PVW, focusing only on bending effect;

$$\ - \frac{\partial ^2}{\partial x^2} \left ( \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right ) + f_{t} \left ( x \right ) = m \left ( x \right ) \ddot{V} \,$$

$$\ + \frac{\partial ^2}{\partial x^2} \left ( \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right ) + f_{a} \left ( x,t \right ) = m \left ( x \right ) \ddot{u} \,$$

PVW for beams:

$$\ \int_{0}^{L} W\left ( x \right ) \left \lbrack - \frac{\partial^2}{\partial x^2} \left ( \left ( EI \right ) \frac{\partial^2 v}{\partial x} \right ) + f_t - m \ddot v \right \rbrack dx = 0 \,$$ for all possible W(x) (Eq 1)

Integrate by Parts of 1 st term:

$$\ \alpha = \int_{0}^{L} \underbrace{W \left ( x \right )}_{s \left ( x \right )} \frac{\partial^2}{\partial x^2} \left \lbrace \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right \rbrace dx \,$$ where $$\ \underbrace{\frac{\partial}{\partial x} \left ( \frac{\partial}{\partial x} \left \lbrace \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right \rbrace \right )}_{r'\left ( x \right )} \,$$

$$\ = \left \lbrack W \frac{\partial}{\partial x} \left \lbrace \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right \rbrace \right \rbrack _{0}^{L} - \int _{0}^{L} \underbrace{\frac{dW}{dx}}_{s' \left ( x \right )} \underbrace{ \frac{\partial}{\partial x} \left \lbrace \left ( EI \right ) \frac{\partial ^2 v}{\partial x^2} \right \rbrace}_{r \left ( x \right )} dx \,$$

$$\ = \beta_1 - \underbrace{\left \lbrack \frac{dW}{dx} \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right \rbrack_{0}^{L}}_{\beta_2} + \underbrace{\int_{0}^{L} \frac{d^2 W}{dx^2} \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} dx}_{\gamma} \,$$

Equation (1) becomes: $$\ \beta_1 - \beta_2 - \gamma + \int_{0}^{L} W f_t dx - \int_{0}^{L} W m \ddot{v} dx = 0 \,$$ for all possible W(x)

Now focusing on the stiffness term $$\ \gamma \,$$ for the time being to derive the beam stiffness matrix and to identify the beam shape functions:

$$\ v \left ( \tilde{x} \right ) = N_2 \left ( \tilde{x} \right ) \tilde{d}_2 + N_3 \left ( \tilde{x} \right ) \tilde{d}_3 + N_5 \left ( \tilde{x} \right ) \tilde{d}_5 + N_6 \left ( \tilde{x} \right ) \tilde{d}_6 \,$$ Equation 2

Recall: $$\ u \left ( \tilde{x} \right ) = N_1 \left ( \tilde{x} \right ) \tilde{d}_1 + N_4 \left ( \tilde{x} \right ) \tilde{d}_4 \,$$ Equation 4

In accordance with the book, the following equations represent the above picure:

$$\ N_2 \left ( \tilde{x} \right ) = 1 - \frac{3 \tilde{x}^2}{L^2} + \frac{2 \tilde{x}^3}{L^3} \,$$ for $$\ \tilde{d}_2 \,$$

$$\ N_3 \left ( \tilde{x} \right ) = \tilde{x} - \frac{2 \tilde{x}^2}{L} + \frac{ \tilde{x}^3}{L^2} \,$$ for $$\ \tilde{d}_3 \,$$

$$\ N_5 \left ( \tilde{x} \right ) = \frac{3 \tilde{x}^2}{L^2} - \frac{2 \tilde{x}^3}{L^3} \,$$ for $$\ \tilde{d}_5 \,$$

$$\ N_6 \left ( \tilde{x} \right ) = - \frac{ \tilde{x}^2}{L} + \frac{ \tilde{x}^3}{L^2} \,$$ for $$\ \tilde{d}_6 \,$$

As determined previously in an above section:

$$\ \tilde{\mathbf{d}}^{(e)}_{6x1} = \tilde{\mathbf{T}}^{(e)}_{6x6} \mathbf{d}^{(e)}_{6x1} \,$$ where $$\ \mathbf{d}^{(e)}_{6x1} \,$$ is known after solving the Finite Element Systems.

The only thing left is to compute $$\ u \left ( \tilde{x} \right ) \,$$ and $$\ v \left ( \tilde{x} \right ) \,$$

where $$\ \mathbf{u} \left ( \tilde{x} \right ) = u \left ( \tilde{x} \right ) \vec{\tilde{i}} + v \left ( \tilde{x} \right ) \vec{\tilde{j}} \,$$

Now we compute $$\ u \left ( \tilde{x} \right ) \,$$, $$\ v \left ( \tilde{x} \right ) \,$$ using Equations (1) and (2) as stated previously.

Computing $$\ u_x \left ( \tilde{x} \right ), u_y \left ( \tilde{x} \right ) \,$$ from $$\ u \left ( \tilde{x} \right ), v \left ( \tilde{x} \right ) \,$$

$$\ \begin{Bmatrix} u_x \left ( \tilde{x} \right ) \\ u_y \left ( \tilde{x} \right ) \end{Bmatrix} = \mathbf{R}^T \begin{Bmatrix} u \left ( \tilde{x} \right ) \\ v \left ( \tilde{x} \right ) \end{Bmatrix} \,$$

$$\ \begin{Bmatrix} u_x \left ( \tilde{x} \right ) \\ u_y \left ( \tilde{x} \right ) \end{Bmatrix} = \underbrace_{\mathbb{N} \left ( \tilde{x} \right )} \underbrace{\begin{Bmatrix} \tilde{d}_1^{(e)} \\ \vdots \\ \tilde{d}_6^{(e)} \end{Bmatrix}}_{\mathbf{\tilde{d}}^{(e)}} \,$$ Equation (2)

$$\ \begin{Bmatrix} u_x \left ( \tilde{x} \right ) \\ u_y \left ( \tilde{x} \right ) \end{Bmatrix} = \underbrace{\mathbf{R}^T}_{2x2} \mathbb{N} \underbrace{\left ( \tilde{x} \right )}_{2x6} \underbrace{\mathbf{\tilde{T}}^{(e)}}_{6x6} \underbrace{\mathbf{d}^{(e)}}_{6x1} \,$$ Equation (3)

Now lets note: how Equ (2), Dimensional Analysis

$$\ \lbrack u \rbrack = L \,$$, previously we also noted that $$\ \lbrack N_1 \rbrack = \lbrack N_4 \rbrack = 1 \,$$, and $$\ \underbrace{\lbrack N_1 \rbrack}_{=1} \underbrace{\lbrack \tilde{d}_1 \rbrack}_{= L} + \underbrace{\lbrack N_4 \rbrack}_{= 1} \underbrace{\lbrack \tilde{d}_4 \rbrack}_{= L} \,$$

also

$$\ \lbrack v \rbrack = L, \underbrace{\lbrack N_2 \rbrack}_{=1} \underbrace{\lbrack \tilde{d}_2 \rbrack}_{= L} = L \,$$(displacement, transverse)

The same can be said with the third component: $$\ \underbrace{\lbrack N_2 \rbrack}_{=1} \underbrace{\lbrack \tilde{d}_2 \rbrack}_{= L} = L \,$$

Recall: Governing PDE for beams

Equ (1), without ft (distributed transversal load) and without inertia force, $$\ m \ddot{v} \,$$ (static case = 0) :

$$\ \frac{\partial ^4}{\partial x^2} \begin{Bmatrix} \left ( EI \right ) \frac{\partial ^2 v}{\partial x^2} \end{Bmatrix} = 0 \,$$

Further consider constant EI: $$\ \frac{\partial ^4}{\partial x^4} v = 0 \,$$ integrate fout times and get C0, ..., C3.

Thus $$\ \Rightarrow v \left ( x \right ) = C_0 + C_1 x^1 + C_2 x^2 + C_3 x^3 \,$$

To obtain $$\ N_2 \left ( x \right ) \,$$ ( $$\ \tilde{x} \cong x \,$$ ) for simplicity

$$\ v \left ( 0 \right ) = 1, v \left ( L \right ) = 0, v' \left ( L \right ) = 0, v' \left ( L \right ) = 0 \,$$

These are the boundary conditions to use to solve for C0, ..., C3.

$$\ v \left ( 0 \right ) = 1 = C_0 \,$$

$$\ v \left ( L \right ) = 1 + C_1 \cdot L + C_2 \cdot L^2 + C_3 \cdot L^3 = 0 \,$$ Equation (1)

$$\ v' \left ( x \right ) = C_1 + 2 C_2 \cdot x + 3 C_3 \cdot L^2 = 0 \,$$

$$\ v' \left ( 0 \right ) = C_1 = 0 \,$$

$$\ v' \left ( L \right ) = 2 C_2 L^2 + 3 C_3 L^3 = 0 \,$$

$$\ (2) \Rightarrow C_3 = - \frac{2}{3} \frac{C_2}{L} \,$$

$$\ (1) \Rightarrow 1 + C_2 L^2 - \frac{2}{3} \frac{C_2}{L} (L^3) = 1 + \frac{1}{3} C_2 L^2 = 0 \,$$

$$\ C_2 = \frac{-3}{L^2} \,$$ and $$\ C_3 = \frac{-2}{3} \frac{1}{L} ( \frac{-3}{L^2} ) = \frac{2}{L^3} \,$$ Compare with expression for N2 previously.

For N3: Boundary Conditions

$$\ v \left ( 0 \right ) = 0, v \left ( L \right ) = 0, v' \left ( L \right ) = 1, v' \left ( L \right ) = 0 \,$$

For N5: Boundary Conditions

$$\ v \left ( 0 \right ) = 0, v \left ( L \right ) = 1, v' \left ( L \right ) = 1, v' \left ( L \right ) = 0 \,$$

For N6: Boundary Conditions

$$\ v \left ( 0 \right ) = 0, v \left ( L \right ) = 0, v' \left ( L \right ) = 1, v' \left ( L \right ) = 1 \,$$

(See previous plots for N5 and N6.)

Derive coefficients in $$\ \tilde{\mathbf{k}} \,$$ (element stiffness matrix) coefficients with EA: Done

Derive coefficients in $$\ \tilde{\mathbf{k}} \,$$ (element stiffness matrix) coefficients with EI: To be done

$$\ \tilde{k}_{22} = \frac{12EI}{L^3} = \int_{0}^{L} \frac{d^2 N_2}{dx^2} (EI) \frac{d^2 N_2}{dx^2} dx \,$$

$$ \tilde{k}_{23}= \frac{6EI}{L^2}= \int_0^L \frac{d^2N_2}{dx^2}(EI)\frac{d^2N_3}{dx^2},dx= \frac{dN_2}{dx}(EI)\frac{d^2N_3}{dx^2} \frac{d^2N_2}{dx^2}(EIx)\frac{d^2N_3}{dx^2} \frac{d^2N_2}{dx^2}(EI)\frac{dN_3}{dx} \Bigg|_0^L $$

In general, $$\tilde{k}_{ij}=\int_0^L \frac{d^2N_i}{dx^2}(EI)\frac{d^2N_3}{dx^2}dx$$ i,j=2,3,5,6

Elastodynamics (trusses, frames, 2-D, 3-D, elasticity)
A model problem can be found in a previous report Here

Discrete Principle of Virtual work
$$ \mathbf{\bar{w}} \cdot [ \mathbf{\bar{M}} \mathbf{\ddot{\bar{d}}} + \mathbf{\bar{K}} \mathbf{\bar{d}}- \mathbf{\bar{F}} ] =0$$

for all $$\mathbf{\bar{w}}$$

The bars mean the matrix is reduced which is to say the boundary conditions have already been applied

$$\Rightarrow $$ $$\mathbf{\bar{M}} \mathbf{\ddot{\bar{d}}} + \mathbf{\bar{K}} \mathbf{\bar{d}}=  \mathbf{\bar{F}}(t)$$ equation 1 $$\mathbf{\bar{d}}(0) = \mathbf{\bar{d}}_0$$ $$\mathbf{\dot{\bar{d}}}(0) = \mathbf{\bar{v}}_0$$

Complete ordinary differential equation (ODEs) (2nd order in time)+ initial conditions governing the elastodynamics of discretized continuous problem (MDOF)

Solving equation 1:

1) Consider unforced vibration problem

$$ \mathbf{\bar{M}}_{nxn} \mathbf{\ddot{v}}_{nx1} + \mathbf{\bar{K}}_{nxn} \mathbf{v}_{nx1}= \mathbf{0}_{nx1}$$   unforced equation 2

assume $$v(t)=(sin \omega t) \mathbf{\phi}_{nx1}$$ where $$\mathbf{\phi}$$ is not time dependent

$$ \mathbf{\ddot{\bar{v}}}=-\omega^2sin\omega t \phi$$

$$=\omega^2sin\omega t \mathbf{\bar{M}} \phi + sin\omega t \mathbf{\bar{K}} \phi = \mathbf{0}$$

$$\Rightarrow \mathbf{\bar{K}} \phi=\omega^2\mathbf{\bar{M}}\phi$$ equation 3 Which is the Generalized eval. Problem

$$ \mathbf{Ax}=\lambda \mathbf{Bx}$$ with $$\lambda$$ as the eval. Which is the General Form

Standard eval. problem: $$ \mathbf{Ax}=\lambda \mathbf{x}$$ with B = I with I as the Identity Matrix

The Identity Matrix I=$$\begin{bmatrix} 1 & 0\\0&1 \end{bmatrix}$$ which has ones on the diagonal and zeros everywhere else.

$$\lambda =\omega^2$$ and ($$\lambda_i,\phi_i$$) are eigenpairs with i=1,...,n

mode i $$\Rightarrow \begin{cases} v_1(t)=(sin\omega_1t)\phi \\ i=1,\cdots,n \end{cases}$$

2)Model superposition method:

Orthogonal properties of eignepairs:

$$\underbrace{\mathbf{\phi}_i^T}_{1xn} \underbrace{\mathbf{\bar{M}}}_{nxn} \underbrace{\mathbf{\phi}_i}_{nx1} = \underbrace{\delta_{ij}}_{Kronecker \delta}= \begin{cases} 1,& \mbox{if } i=j \\  0,  &\mbox{if } i\ne j \end{cases}$$

Mass orthogonal of eigenvectors

Using equation 2 and equation 3

$$\mathbf{\bar{M}}\omega_j=\lambda_j^{-1}\mathbf{\bar{K}}\omega_j$$

$$

\underbrace{\phi_i^T\mathbf{\bar{M}}}_{\delta_{ij}}\phi_j=\lambda_j^{-1}\phi_i^T\mathbf{\bar{K}}\phi_j$$

$$\Rightarrow \phi_i^T\mathbf{\bar{K}}\phi_j=\lambda_j \delta_{ij}$$

From equation 1 we get: $$\mathbf{\bar{d}}=\sum_{i=1}^n \xi_i(t)\phi_i$$

$$ \mathbf{\bar{M}} \underbrace{(\sum_{j}\ddot{\xi}_j \phi_j)}_{\mathbf{\ddot{d}}} + \mathbf{\bar{K}}\underbrace{(\sum_{j}\xi_j \phi_j)}_{\mathbf{\bar{d}}}= \mathbf{F}$$

$$\sum_j\ddot{\xi}_j\underbrace{(\phi_i^T\mathbf{\bar{M}}\phi_j)}_{\delta_{ij}} + \sum_j\xi_j \underbrace{(\phi_i^T\mathbf{\bar{K}}\phi_j)}_{\lambda_i\delta_{ij}}= \phi_i^T \mathbf{F}$$

$$\Rightarrow \ddot{\xi}_i+\lambda_i\xi_i=\phi_i^T F$$ i=1,...n

Frame Pylon
The following matlab code was used to solve the electric pylon. The functions: PlaneFrameElement, PlaneFrameResults,and NodalSoln were obtained from the Fundamental Finite Element Analysis and Applications book website. Here

The element number for the element with the highest tensile stress is represented by Tbn and equals 91. The highest tensile stress is represented by Ts and equals 33.763

The element number for the element with the highest compressive stress is represented by Cbn and equals 0 so all of the elements have the same compressive stress.

This problem is statically indeterminate. One reaction was given but there are too many reactions remaining to solve using the static equations.

Recommended software to improve productivity
We used the tool bar for Wikipedia and firefox powered by Greasemonkey to write our equations. We used the formula help page to find the comands for the different formula parts. This was easier than typing it in word because if the equation didn't parse when the page was previewed it normaly would give a hint as to the problem.

After Professor Vu-Quoc suggested using Inkscape we switched from using paint to using Inkscape. The images became easier to do in Inscape the more we used the program but it was hard at first considering we were all acustomed to using paint. Learning Inscape was worth the time becasue we found our images looked nicer than if they had been done in paint.

We recommend the Wikipedia and firefox powered by Greasemonkey toolbar and Inkscape program for completing work on Wikipedia.

Contributing Team Members
The following students contributed to this report:

Jessica Dyer Eml4500.f08.gravy.jad 20:06, 9 December 2008 (UTC)

Mikal McFarlane Eml4500.f08.gravy.mmm 04:12, 30 November 2008 (UTC)

Patrick Clayton Eml4500.f08.gravy.psc 16:57, 9 December 2008 (UTC)

Sean Sullivan Eml4500.f08.gravy.sms 19:15, 9 December 2008 (UTC)

Brian Eggeman Eml4500.f08.gravy.bje 19:40, 9 December 2008 (UTC)

Justin Tennant Eml4500.f08.gravy.JMT 20:46, 9 December 2008 (UTC)

title: User:Eml4500.f08.gravy.jad/Notes7.g


text:
User:Geezer~enwikiversity

Hello. I'm Geezer and I live in a village in Queens within the broader confines of New York City. I discovered Wikiversity yesterday, the 28th of November, 2008 and while I have yet to discover where this path will lead I look forward to the experience.

I intend to spend a fair amount of time here because I anticipate, now that I am within shouting distance of retirement, having time to do some of the formal studies that to date have eluded me. We will see how that goes.

license: Creative Commons - Attribution Share-Alike - https://creativecommons.org/licenses/by-sa/4.0/

title: User:Geezer~enwikiversity


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User talk:Geezer~enwikiversity

Welcome
Hello Geezer, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may
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And don't forget to explore Wikiversity with the links to your left. Be bold, and see you around Wikiversity! --Emesee 06:06, 30 November 2008 (UTC)

Your account will be renamed
Hello,

The developer team at Wikimedia is making some changes to how accounts work, as part of our on-going efforts to provide new and better tools for our users like cross-wiki notifications. These changes will mean you have the same account name everywhere. This will let us give you new features that will help you edit and discuss better, and allow more flexible user permissions for tools. One of the side-effects of this is that user accounts will now have to be unique across all 900 Wikimedia wikis. See the announcement for more information.

Unfortunately, your account clashes with another account also called Geezer. To make sure that both of you can use all Wikimedia projects in future, we have reserved the name Geezer~enwikiversity that only you will have. If you like it, you don't have to do anything. If you do not like it, you can pick out a different name.

Your account will still work as before, and you will be credited for all your edits made so far, but you will have to use the new account name when you log in.

Sorry for the inconvenience.

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Renamed
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title: User talk:Geezer~enwikiversity


text:
User:Jestermeister/Seed/depends

Dependency Walker

Dependency walker can be used to uncover "missing files" issues. It can show you all the necessary and related modules.

There is also a Wikipedia site on this product.

title: User:Jestermeister/Seed/depends


text:
User:Jestermeister/Seed/procexp

Process Explorer

Process Explorer can be seen as a more "detailed" task manager. The lower pane that we see here can show the DLLs or Handles related to the selected process.

Here in this image, we can see how to use Process Explorer to monitor CPU and Memory usage. We can even view the usage by individual processes.

The document below will give a more comprehensive overview of Process Explorer.

http://cid-ac4722726e9c8c64.skydrive.live.com/self.aspx/Public/Short%7C_Overview%7C_of%7C_Process%7C_Explorer.docx

title: User:Jestermeister/Seed/procexp


text:
User:Jestermeister/Seed/procmon

Process Monitor

Process Monitor is great when it comes to finding out "how does an application" work. All the registry and file system read/writes will be captured by this tool. A certain setting within this tool can allow you to log boot time.

This tool is useful in a lot of situations as it can track almost every action done. The real difficulty will be to go through all the results collected and find where the problem really lies. In this case, one can make good use of the filtering function provided by Process Monitor.

You can also open up any individual process and look at its properties. One can also see the modules being loaded by the process.

title: User:Jestermeister/Seed/procmon


text:
User:Jestermeister/Seed/snoopypro

Snoopy Pro

Snoopy Pro is lightweight and no installation is necessary. For this reason, it can be useful on machines that you do not want to install too much stuff in. But, if you need a USB sniffer on a TEST MACHINE, I would suggest that you use USB Monitor instead. It works better.

A "How to use" guide is easily available from the HELP menu. Snoopy Pro's biggest disadvantage is that it may not be that user friendly. Once you have installed the service and "tagged" the hardware node that you want to monitor, you may need to unplug and replug the device before monitoring will start. You know that monitoring has started when you see the results being captured.

USB Monitor provides more functionality than Snoopy Pro and is easier to read the results. For one, you do not need to unplug and replug the device before monitoring will start.

title: User:Jestermeister/Seed/snoopypro


text:
User:Jestermeister/Seed/restoration

Restoration

Restoration, when launched right after a deletion job, can allow one to restore the file back.

In the screen shot above, "unlocker1.8.7.exe" is the name of the deleted file. Recycling bin is emptied and Restoration is ran shortly after. "Dc8.exe" is the recovered "unlocker1.8.7.exe". Notice that the restored file does not have the same name as the deleted file.

title: User:Jestermeister/Seed/restoration


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User:Jestermeister/Seed/totaluninst

Total Uninstall

Total Uninstall can monitor an installation's before and after state. It works by monitoring a system's files and registry keys. By taking a snapshot before the installation and one after the installation, this program can work out the installed/deleted files and registry keys. The results will be mapped out in a tree, savable to a text file.

This tool can be useful for tracking installations and uninstallations.

Caution about the use of this software; though it can track my Printer installation, it fails to remove it cleanly.

title: User:Jestermeister/Seed/totaluninst


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User:Jestermeister/Seed/usbmon

USB Monitor

This tool can capture the data transfer between two devices. The user interface and advanced feature makes this tool more superior to SnoopyPro, otherwise SnoopyPro is more lightweight. For one, you can execute a "Find" in this application.

In the example above, I am logging a scan job from my printer.

title: User:Jestermeister/Seed/usbmon


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User:Jestermeister/Seed/wireshark

Wireshark

This application do a real-time capture of all network packets being transfer to and fro from the system running this application. It captures data by Network Interfaces.

The user interface is broken up into 3 frames:
 * The top pane shows all the data packets captured in chronological order.
 * The middle pane breaks down the captured data into human readable information.
 * The lower pane shows the whole bunch of captured data.

title: User:Jestermeister/Seed/wireshark


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User:Jestermeister/Seed/winmerge

Winmerge

Winmerge does one of two things.
 * It does a side-by-side comparison between two files
 * It performs a comparison between two folders (and its sub folders)

Once installed, you can do a comparison by selecting two files or folders, right-click and choose winmerge.

title: User:Jestermeister/Seed/winmerge


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User:Jestermeister/Seed/regwrkshop

Registry Workshop

Registry Workshop is an advanced Registry editor. It can backup, restore the registry. You can make searches to it and save the results. This tool can allow you to compare registry entries as well. It can also edit REG files.

title: User:Jestermeister/Seed/regwrkshop


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User:Jestermeister/Seed/unlocker

Unlocker

Unlocker can allow one to gain access of a file that is being held up by other system processes. You can choose to Kill the process or just Unlock it.

Sometimes certain files are being held up by process unknown to us. With this tool, we can find out what are the processes that are holding up the files and remove these processes.

title: User:Jestermeister/Seed/unlocker


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Xlib programming basics

Xlib is an application programming interface (API) for X Window. A program that uses Xlib consists of 4 basic tasks:

 * Open a connection to a X Window server.
 * Create windows for the user interface and map them so they are shown to the user
 * Respond to events received from the X Window server. Drawing the user interface is included in this step.
 * Close a connection to a X Window server in response to a user's action when the time is right. Like for example when clicking quit from a menu.

Open A Connection
XOpenDisplay is a function that opens a connection to a X Window server. XOpenDisplay gets passed a string (e.g char*) that lets you control what display to connect to. You can also tell Xlib to attempt a connection with the default display by passing NULL instead. If a connection to a X Window server is successful, XOpenDisplay returns an allocated pointer to a Display structure, otherwise a null pointer (e.g (Display*)NULL) is returned.

You should check whether the connection was successful or not before calling any other functions from Xlib. Most other Xlib functions depend on knowing which display is being used. You may also need to know which display is being used in order to get characteristics of the display, such as how many screens there are, what resolutions does each screen support, and what color depths does each screen resolution support. A typical PC only has one screen, but supports several different screen resolutions and color depths for example.

title: Xlib programming basics


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User talk:Eliza haran caplan

 Hello Eliza haran caplan, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --mikeu talk 17:17, 30 November 2008 (UTC)

title: User talk:Eliza haran caplan


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R (programming language)/Installation

On this page you can learn about the installation (setup) of R on a Windows PC. Please note that R is a multi platform programming language working also under MacOS X and Linux machines. The description on these should be added here as well.

Download
To install R under Windows operating system you have to download the binaries from the web. First go to r-project.org and click CRAN under download section on the left panel and select a mirror site, from where you could download the required content. The best idea is pick a mirror closest to your actual geographical location, but other ones should work as well. The click Windows and in subdirectories base. The windows binary is the exe file, in form R-x.x.x-win32.exe, where x denotes the actual version of the program. Regardless of the version the setup has the same steps.

Setup

As usually in Windows, if you click just the Next button, you will install the program without any problems. There are few things, that you can alter however.

 * 1) On the welcome screen click Next.
 * 2) Read or just notice the GNU license, and click Next.
 * 3) Select the location, where R should be installed. In case you don't prefer a particular location on your hard disc, the default choice will be OK for you.
 * 4) During the next step you can specify which parts of R you want to install. Choices are: User installation, Minimal user installation, Full installation and Custom installation. Notice the required space under the selection panel (varies between 20 and 66 MB). In case you are a beginner in R, choose the default User installation.
 * 5) In this step you can choose between 2 ways. If you accept defaults, you skip the 3 "extra" steps during installation (see lower).
 * 6) You can specify the Start menu folder.
 * 7) In the next step you can choose, between shortcut possibilities (desktop icon and/or quick launch icon) and specify registry entries.

Extra steps: With these steps you can customize the R graphic user interface.
 * You can choose if you want an R graphic user interface covering the whole screen (MDI) or a smaller window (SDI).
 * You can select the style, how the Help screen is displayed in R. You will use help a lot, so this may be an important decision. It is up to you, which style you prefer. Please note, that the content of help file will be the same regardless of your choice. Here you specify just the appearance of that particular window.
 * In the next step you can specify, whether you want to use internet2.dll. If you are a beginner, pick the Standard option here.

Screenshots
The 3 extra steps:

Linux
http://www.jason-french.com/blog/2013/03/11/installing-r-in-linux/

MacOS X
First of all, you have to download the bundle package for MacOS X, so go to. Stable release to-date is 3.1.2 "Pumpkin Helmet". Simply install the package you downloaded and three main components will be installed: R framework, Tcl/Tk support for GUI and R.app (main IDE with GUI). You may want to consider another IDE, if so RStudio is a good choice. Both the bundle package and RStudio are freeware.

title: R (programming language)/Installation


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User:Eas4200c.f08.WIKI.E/hw7

Mtg 37 Friday 21 November 08
3) Back to Superposition :

$$q_{ij} = q + q_i$$ where $$q_{ij}$$ is true shear flow $$q$$ is the closed cell constant shear flow $$q_i$$ is the open cell piecewise constant shear flow

M.1)W/o stringers

$$R^z=\sum_{i=1}^{n cells}{R^z_i}$$ where $$n=$$ the number of cells

$$R^z_1=0$$

$$R^z=0\;$$

M.2)With Stringers

$$R^z=R^{z1}+R^{z2}\;$$ where $$R^z \;$$ is the resultant of P

$$R^{z1}\;$$ is the resultant of P1 and $$R^{z2}\;$$ is the resultant of P2.

Recalling $$R^z=\sum_{i=1}^{n cells}{R^z_i}=0\;$$ provides us with the formula:

$$R^z=R^{z2}=V_z\neq 0\;$$

title: User:Eas4200c.f08.WIKI.E/hw7


text: File:Wostringers.jpg

title: File:Wostringers.jpg


text: File:Wstringers.jpg

title: File:Wstringers.jpg


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User:Eas4200c.f08.blue.a/Lecture 37

Continuation of problem using Eulet cut principle Stringer 3: Refer to the image below

$$\sum{F_{x}}=0$$

$$\int_{A_{3}}^{}{\left[\sigma_{xx}(x+dx)-\sigma_{xx}(x) \right]dA_{3}}+\left[\tilde{-q_{23}}-\tilde{q_{43}}+\tilde{q_{31}} \right]dx$$

Taylor series: $$\frac{d\sigma_{xx}dx}{dx} + h.o.t.$$

$$\tilde{q_{31}}=\tilde{q_{23}}+\tilde{q_{43}}+\tilde{q}^{(3)}$$

$$q^{3}\Rightarrow$$ stringer 3 contribution $$-\int_{A_{3}}^{}{\frac{d\sigma_{xx}}{dx}}dA_{3}$$

Recall $$v_{y}=\frac{\partial Mz}{\partial x}$$, $$v_{z}=\frac{\partial My}{\partial x}$$

$$q^{(3)}=-\left(k_{y}v_{y}-k_{yz}v_{z}\right)Q_{z}^{(3)}-\left(k_{z}v_{z}-k_{yz}v_{y} \right)Q_{y}^{(3)}$$

$$Q_{z}^{(3)}=\int_{A_{3}}^{}{y}dA_{3}$$ and  $$Q_{y}^{(3)}=\int_{A_{3}}^{}{z}dA_{3}$$

String 2

$$\tilde{q_{23}}=\tilde{q_{12}}+\tilde{q_{24}}+\tilde{q}^{(2)}$$ but because of the way you cut the cells $$\tilde{q_{12}}$$ and $$\tilde{q_{24}}$$ equal zero.

$$q^{(2)}$$ is computed the same as $$q^{(3)}$$ except $$A_{3}$$ becomes $$A_{2}$$

$$Q_{z}^{(2)}=y_{2}A_{2}$$ and $$Q_{y}^{(2)}=z_{2}A_{2}$$

Stringer 4 is $$\tilde{q}_{43}=\tilde{q}_{24}-\tilde{q}_{41}+q^{(4)}$$ but $$\tilde{q}_{24}$$ and $$\tilde{q}_{41}$$ become zero because of the cut of the cells.$$q^{(4)}$$ can be computed as above for $$q^{(2)}$$

This marks the end of problem 2

Now returning to the superposition principle

$$q_{ij}=\tilde{q}_{ij}+q_{k}$$

$$q_{12}=\tilde{q}_{12}+q_{1}$$

$$q_{23}=\tilde{q}_{23}+q_{1}$$

All of the $$\tilde{q}$$ are known

Continuing this process for $$q_{24}$$, $$q_{43}$$, and $$q_{41}$$

$$q_{24}=\tilde{q}_{24}+q_{1}$$

$$q_{43}=\tilde{q}_{43}+q_{1}$$

$$q_{41}=\tilde{q}_{41}+q_{1}$$

To solve problems, such as problem 2, you'll have a certain number of unknown shear stresses and you'll get the same amount of equations to solve for the unknowns from,

1)The moment equation: Take the moment of $$v_{y}$$, $$v_{z}$$, and $$\left\{q_{12}, ..., q_{41} \right\}$$ about any convenient point (usually where lines of action of $$v_{y}$$, $$v_{z}$$ cross)

2)$$\theta _{1}=\theta _{2}$$

3)$$\theta _{2}=\theta _{3}$$

title: User:Eas4200c.f08.blue.a/Lecture 37


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Wikiversity:Candidates for Custodianship/Mike.lifeguard (full custodian)

Mentor's recommendation for full custodianship
Sorry to all - I'm a few days late with this (thanks for the reminder, JWS), but I would like to report that Mike.lifeguard has served his one month probationary period with ~150-200 edits in this time. From where I sit, this appears to have been relatively uneventful, straightforward probationary period, with ML mostly involved in administrative and MediaWiki (MW) technical edits, including blocking of vandals and some IP ranges. Clearly, I think, ML's knowledge of the MediaWiki sysop tools, the technical workings of MW, and the broader family of WMF projects and its policies, has been of demonstrated value. ML has also taken initiative in addressing issues, contributed toward improving policy, and perhaps most importantly, participated in WV community dialogue, on the Colloquium and on user talk pages, and demonstrated respect for the views of others as well as putting his knowledge and viewpoints forward. ML's activity in the mainspace has been relatively minimal. I see ML as a particularly valuable custodian and as arguably our most cross-WMF wiki active/knowledgeable user - e.g., I jumped on mediawiki IRC the other day to ask a technical question and ML was there! Hence, I would like to nominate Mike.lifeguard for full custodianship, with a 5-day voting/discussion period (11 - 15 November, 2008). -- Jtneill - Talk - c 07:54, 11 November 2008 (UTC)

Voting for full custodianship
Please enter vote and a brief comment here.

 * Mike is friendly, helpful and knowledgable and has my full support--Jolie 13:28, 11 November 2008 (UTC)

 * Mike has been doing a great job and brings skills which are of benefit to wikiversity. Full support.  --mikeu talk 13:50, 11 November 2008 (UTC)
 * , fully. Cormaggio talk 14:04, 11 November 2008 (UTC)
 * - he knows how to use a mop. Ottava Rima (talk) 14:55, 11 November 2008 (UTC)
 * As member of the Ruling Party, Onward Comrades! Geoff Plourde 06:50, 12 November 2008 (UTC)
 * with reservations; the first interaction I've noticed of yours was over a userpage which I considered fairly inoccuous—I disagreed with your action and reasoning there. Since then, however, you have been a constructive contributor to Wikiversity, and based on what I've seen and my trust of others here, I am supporting your full custodianship, though I would have preferred having you around longer before voting here.  The Jade Knight (d'viser) 10:04, 12 November 2008 (UTC)
 * No reason to oppose this user, seems to be helpful enough and always ready to be useful when needed. AC. --Sunstar NW XP 17:15, 12 November 2008 (UTC)
 * -- Mike can be a bit terse and stubborn at times, but he also strongly believes in consensus. He's an active cross-project worker, but also respects the independence and uniqueness of each project (even though he can be stubborn and terse at first). A dedicated wikimedian who can only bring us benefit. --SB_Johnny talk 17:27, 12 November 2008 (UTC)
 * Based on Mike's excellent work at Wikibooks, I have no reservations. --Jomegat 13:30, 13 November 2008 (UTC)
 * Mike is friendly, helpful and shows an ability to deal with frustrated people and situations in a professional and appropriate manner. Trödel 17:46, 13 November 2008 (UTC)
 * The candidate's violations of Wikiversity policy and unwillingness to discuss them are deeply troubling and for me and indicate that the candidate cannot be trusted with custodianship. It is even more disturbing that trusted Wikiversity custodians and bureaucrats would nominate and support a violator of Wikiversity policy as a candidate for custodianship. Further, this community discussion has been repeatedly censored so as to remove questions for the candidate. Even more disturbing for me is that the candidate claims to be concerned about Wikiversity as a welcoming environment, yet has shown poor judgment about deleting user page content and how to deal with the problem of uploaded images that lack source and licensing information. The candidate's proven unwillingness to work with other members of the community on these problems indicates that the candidate cannot be trusted to work towards making Wikiversity a welcoming environment. Given the policy violations, the candidate's refusal to discuss them and the candidate's over-all approach to interacting with other editors at Wikiversity I must oppose this nomination for full custodianship. --JWSchmidt 21:49, 14 November 2008 (UTC)
 * Thanks for your comments. I think I addressed adequately my stance regarding the incident with Jon Awbrey, and my bot. I would also like to point out that characterising "If anyone (including JWSchmidt) would like to pick out some worthwhile questions and restate them more civilly and without the misleading preconceptions, I'll be happy to answer them." as "unwillingness to discuss" is again misleading. – Mike.lifeguard | @en.wb 22:26, 14 November 2008 (UTC)
 * "my bot has not run any tasks here since the date of unblock" <-- 06:47, 15 February 2008 SB Johnny unblocked Mike's bot account, since then your bot has made many edits on several dates. In your previous inaccurate comments on the matter of your bot you said, "It appears there was no policy under which to block the bot" and you claimed it had done no harm. That is clearly false. The Wikiversity policy on bots clearly states that bots must do no harm. I blocked the bot mainly because it was leaving very unwelcoming messages with a dead link that users were supposed to make use of in order to comply with the wishes of the bot. In addition, the policy says that bots can only make 4 edits per minute, but your bot had exceeded that limit on multiple occasions. "my bot has not run any tasks" <-- Are you saying that the edits by your bot account on August 6 were not automated, that you performed those edits manually and hid your action by using the bot account? I stand by my description of your behavior as an unwillingness to discuss many important questions about your participation at Wikiversity. Further, your insinuation that my questions were not civil is gaming the system in an attempt to avoid answering my questions. It is perfectly appropriate to ask a candidate for custodianship about their past behavior, including their past violations of policy. I do not understand your position with respect to deleting user page content. If anyone's actions were hostile it was your deletion of content from a Wikiversity user's page. Are you trying to characterize as "hostile" my defense of the Wikiversity project as a wiki that welcomes learners and scholars? --JWSchmidt 00:21, 15 November 2008 (UTC)
 * Sorry, I made that statement from memory. I should have checked myself, particularly as it was made in a rather important forum. That's entirely my mistake. As you'll recall, I'm sure, I completed that bot task (including changing links which were temporarily dead) by hand, which flooded RC and took significantly longer to do. Instead of preventing further harm to the project, your block exacerbated it (along with wasting my time). As I've already stated, my attitude at the time was really unhelpful, and I accept responsibility for that. It's not easy to admit I was wrong, even in part, yet I've done so. I invite you to make a similar statement. – Mike.lifeguard | @en.wb 18:08, 15 November 2008 (UTC)
 * "make a similar statement" <-- I'm not sure what you are looking for in such a statement, but I am willing to repeat here what I have said on other pages. I appreciate your willingness to help deal with the problem of uploaded files that lack source and licensing information. My concern is that we find a good way to deal with that problem, a way that is well-suited for Wikiversity. It might be the case that my ideas for how to do that are not workable, but I do not believe that Wikiversity has to automatically deal with this problem in the way other wikis have tried to deal with it. We have had abortive discussions of this before, but I hope we can find a way to move ahead and solve this problem with creativity and care. I'm willing to take "my share of the blame" for failing to find a constructive way to work with you to help Wikiversity find a solution to the file licensing problem. The kind of "outside the box" thinking we can strive for is similar to what allowed Wikiversity to create a system of "probationary custodianship". In any case, my largest concern about your bot account is the edits that were made on 6 August 2008. Using a bot account for such an unauthorized purpose makes it impossible for me to trust you with a bot account, custodial tools or any special position of trust related to Wikiversity, particularly since it is not just an isolated violation of the bot policy, but rather, is behavior that fits into a pattern with other aspects of your Wikiversity participation (for example) that I find quite objectionable and very detrimental to the Wikiversity project. --JWSchmidt 18:44, 16 November 2008 (UTC)
 * as per others. Emesee 21:10, 16 November 2008 (UTC)

Removed Questions
Unfortunately some questions for the candidate have been repeatedly removed from this page. The removed questions can be seen at this page. previous version

Discussion and questions
Questions to and discussion of the candidate.

Mike, It is clear that your technical experience is useful to Wikiversity. Now, what is your vision for Wikiversity and in which learning projects have you participated most? Hillgentleman | //\\ |Talk 08:58, 11 November 2008 (UTC)
 * Your user page says that you have "strong views on rights" and that only active and trusted users should have them. Is it your intention to impose your personal views on Wikiversity, for example, by trying to impose an arbitrary measure of inactivity that would trigger removal of custodial rights? How did you learn of the existence of Wikiversity and why did you start editing at Wikiversity? How many user accounts do you have at Wikiversity? Why should Wikiversity participants trust you to support the mission of Wikiversity rather than impose your personal views or the mandates/procedure of some other wiki? Do you know what the mission of Wikiversity is? Do you support that mission? Your user page says that you give warnings to vandals. If a vandal deserves a warning then does a non-vandal deserve a warning or it is your intention to block anyone at any time with no warning and no discussion? How do you define "vandal"? Would you ever ban a non-vandal from #wikiversity-en? If you banned a non-vandal from #wikiversity-en would you give a warning? Do the people who are blocked and bannned deserve to be told why they have been blocked or banned? What are the valid reasons for imposing blocks and bans? You say that a vandal who you block or ban might get a warning, but is there anything else people should get when you block of ban them? Should a person you block or ban have a chance to question the basis upon which you imposed a block or ban, particularly when you never gave them a reason for the block or ban? When you impose a block for "Abusing multiple accounts" what do you mean? Do you have checkuser information to support your claim? Where does the checkuser information come from? How can Wikiversity participants confirm your claim that an IP address has been using multiple accounts? Is it your intention to have checkuser rights at Wikiversity? "I don't think the management of Wikiversity is so different from other wikis" <-- Have you received any mentoring about the unique nature of Wikiversity? Have you ever read the Wikiversity policies? Do you intend to follow Wikiversity policy or ignore it like the person who nominated you for custodianship and talked you into accepting his nomination of you for custodianship? How often have you violated Wikiversity policy by using an unauthorized bot at Wikiversity? How often have your violated Wikiversity policy by using a bot for an unauthorized purpose at Wikiversity? Do you intend to continue making the decisions for Wikiversity about which websites can be linked to by Wikiversity participants? Do you think a custodian should set a good example for use of edit summaries and decisions about when to mark an edit as a minor edit? Do you intend to follow Wikiversity policy for page deletion or do you intend to continue to delete any page you do not like? How do you decide that you do not like a page before you delete it? You have a large number of user talk page edits at Wikiversity: please describe the nature of those edits, particularly the ones like this. --JWSchmidt 14:48, 11 November 2008 (UTC)
 * Instead of replying to these misleading questions, I'll simply state that you're free to oppose my candidacy for any reason or reasons you like (including none at all); the bureaucrat assessing the discussion will make a final determination.
 * I'll also note that this sort of tirade is what makes people feel very unwelcome here. Being involved in small wikis generally, I believe it is detrimental to be so unwelcoming. Many projects a shortage of users, and I worry about what will happen if we cannot attract new contributors. I'm afraid your comments are counterproductive on those grounds. Thus my response to Hillgentleman's question is that Wikiversity should be a welcoming, drama-free workspace for the process of learning/teaching and the product as well.
 * If anyone (including JWSchmidt) would like to pick out some worthwhile questions and restate them more civilly and without the misleading preconceptions, I'll be happy to answer them. – Mike.lifeguard | @en.wb 19:19, 11 November 2008 (UTC)
 * Mike, You have participated in this little tussle on the usepage User:Jon Awbrey, and also on betawikiversity:user:Jon Awbrey where you insisted removing all the external links which form Jon's Curriculum Vitae, even links to PlanetMath, a well-known mathematics GFDL-resource to which Wikipedia owes many of its articles, citing "Meta consensus" and refused  to discuss the matter in a local perspective, and threatened to use the spam blacklist.  Customarily, Meta-wiki deals with cross-wiki issues and discussions there cannot over-rule local discussions.   It should not be surprising that some links inappropriate for elsewhere are appropriate for a user page on English wikiversity.  How do you reconcile those actions of yours with your vision of a welcoming Wikiversity?   Hillgentleman | //\\ |Talk 16:28, 12 November 2008 (UTC)
 * Indeed, Meta is a wiki for the coordination of Wikimedia Foundation projects. As such, we blacklist links which are being pushed inappropriately on many wikis. Characterizing my edit as a threat is misleading, as I was relaying fact -- it is a fact that at the time there was a consensus among the global spam blacklist team that blacklisting the links would have a negative impact on the projects, but that doing so may be necessary if Jon persisted in the same vein as he had been doing for some time. As I stated on numerous occasions at the time, there may well be legitimate use of those links on Wikiversity, and I invited several users to find some. You may wish to review the discussions if you do not remember that. You may also note that we gave Jon far more in the way of second chances than other users with similar patterns of behaviour on the grounds that I just stated. – Mike.lifeguard | @en.wb 16:59, 12 November 2008 (UTC)
 * Mike, First thing first, I am not going to discuss the definition of a threat; you may find some relevant discussions and idea in Thomas Schelling's book "Strategies of Conflicts"; let me just say that what you did fits exactly Schelling's description of a threat.  And, Mike, I am not aware of and would be glad if you could point out in what ways you had tried to incorporate Jon Awbrey's links meaningfully into Wikiversity learning resources.  All I could see was you deleting and deleting, here and on .  Facility in communication is a basic quality of a regular custodian and, from what I can see, you hadn't communicated your position very well in the matter, making yourself appear to be a Meta-wikimedian trying to impose a result from a cross-wiki discussion. Hillgentleman | //\\ |Talk 17:41, 14 November 2008 (UTC)
 * If that's the case, then I must not be making myself very clear right now. In the current discussion, I deliberately used words and phrasing which were identical or near-identical to what I said at the time. I could do some research to prove this if necessary. I did so specifically for the purpose of being consistent in my position. – Mike.lifeguard | @en.wb 22:33, 14 November 2008 (UTC)

 * Mike, it seems that several of us are disappointed about how you handled the Jon Awbrey issue here at Wikiversity. Do you think your perspective has changed on that matter?  The Jade Knight (d'viser) 09:01, 15 November 2008 (UTC)
 * I don't think my perspective on the facts of the matter have changed - the facts are what they are. What has changed, I think, is my awareness of how actions are perceived. If you review the discussion at the time, it took about 3 weeks, during which time Jon continued his problematic behaviour. That's far more rope than most are given, yet nobody except the blacklist team notices that fact. So, in the future, I would make greater effort to encourage participation in such discussions. Aside from being beneficial in and of itself, that would, I hope, bring a broader perspective to the participants. – Mike.lifeguard | @en.wb 18:01, 15 November 2008 (UTC)

 * I'll give a shot at trying to ask questions which will hopefully satisfy JWS. Custodians typically play a certain role on Wikiversity and have some idea of what they intend to focus on when they use the tools. What is your intended role as Custodian going to be and what do you intend to mainly focus on when you use the tools? Some Wikiversity participants feel strongly that vandals and other people who might appear disruptive can become productive contributors to the project. What do you intend to do to help encourage and aid people who you feel are disrupting Wikiversity become productive participants so that you can avoid using the tools? --dark[[Image:Yin yang.svg|12px]]lama 16:14, 12 November 2008 (UTC)
 * Yes, reform of vandals is always preferable; blocking is to be used as a preventative measure only. Interested users can review my block logs - I think they'll find I'm rather less block-happy than some (c.f. Commons in particular). Most users who are disruptive can change their ways, and I'm happy to help them along that path. Most of my blocking across several projects is dealing with so-called "hardcore" or "pattern" vandals. These are generally one person (often with copycats) who persistently commit severe acts of vandalism across many wikis. For cases outside that set, communication is preferable. I have certainly done so in the past both on-wiki, in IRC and by email, and would continue to do so here. – Mike.lifeguard | @en.wb 16:59, 12 November 2008 (UTC)
 * Can you provide some examples of what you consider to be "severe acts of vandalism" and how you have handled cases of severe acts of vandalism on Wikiversity? Can you provide some examples of how you have or intend to help users become productive? Can you provide some examples of how you have or will handle situations in which you are not sure about? I believe examples are more what was wanted so that anyone reading this who may not know what to look for has an idea of how you intend to handle situations. --dark[[Image:Yin yang.svg|12px]]lama 17:15, 12 November 2008 (UTC)
 * Sure - you might take a look at (no joke) the most recent edit I made. I've been working with this user for a while; unfortunately it seems I've failed and they will be leaving the Commons community. I'm also currently helping grad student find their way around Wikibooks. I recently did some image manipulation by request. I recently helped two Wikiversity contributors with their project on Wikibooks. Last week, I helped someone from the UN with a permissions issue on OTRS. And on the list goes.
 * As for vandalism, you might take a look at recent vandalism which I've handled on Wikibooks, a ton of wikis, or here. – Mike.lifeguard | @en.wb 17:33, 12 November 2008 (UTC)

I talked to you recently about Revert-Block-Ignore. Do you believe that RBI always solves trolling? Geoff Plourde 19:21, 12 November 2008 (UTC)
 * Of course there is no panacea, however I think RBI is a good start. – Mike.lifeguard | @en.wb 21:07, 12 November 2008 (UTC)

Some addition comments/questions can also be found on JWS's blog. This a bit of a long read. --darklama 17:22, 14 November 2008 (UTC)

Mike, you've said that in the future you would try to encourage more participation in discussions on Meta on issues. What will you do differently in the future if despite efforts to encourage more participation, the Wikiversity community still does not agree with some decision discussed at Meta? Do you think all decisions at Meta override consensus of a local community? If not, what decisions do you think a local community can override, and what decisions do you think made at Meta are enforceable despite objections by a local community? --darklama 14:15, 16 November 2008 (UTC)
 * There's almost no decision that can be made at Meta which cannot be overridden by local consensus. Cases I can come up with where that's not true are things like the Foundation privacy policy or the CheckUser policy. The best solution is engagement, rather than insularly saying "We don't care what you think, this wiki does whatever it wants." That sort of reactionary mentality is counterproductive in the long run, I think. Take the global sysop proposal as an example. It failed miserably - in large part because the people who had input in crafting it were not the same people who voted on it. As there was a massive amount of misunderstanding of the issues and the policy (recall, this took months of work and the entire discussion would probably take a day to read - you can guess how many bothered to do so) the policy was shot down. The solution to that problem is not what happened (people from several wikis "defending" themselves against Meta imperialism or some bogus thing like that) but instead to have those people be a part of crafting the policy from the beginning. The same can be said of everything that happens at Meta. The whole point of the wiki is coordination of projects; it's difficult to do that without input, involvement or participation from those projects. – Mike.lifeguard | @en.wb 16:24, 16 November 2008 (UTC)
 * The reason may or may not be reactionary. Like the reasons could be the result of feeling that a decision should be decided by each community independently rather than be a Wikimedia-wide decision. Would it be fair to say you feel the reasons for disagreeing with a decision made at Meta matters to you in your decision to either ignore or accept a local community's decision? If so how would you determine what is an appropriate or an inappropriate reaction? How was this community's reaction to your removal of links that they felt were useful an inappropriate reaction? How would you resolve a conflict between what Meta wants and what the local community wants, regardless of the reasons or motives for why the conflict exists? --dark[[Image:Yin yang.svg|12px]]lama 16:47, 16 November 2008 (UTC)
 * I should point out for those who aren't familiar with the culture at Meta, that we all come from "local" wikis. So when someone proposes something that should be decided on a wiki-by-wiki basis, there are always a bunch of people who will stand up and say so - it's rare that something gets decided at Meta that should instead be decided on each wiki individually.
 * The reasons always matter. If someone says "No." and offers no explanation, we usually regard that as carrying little weight; similarly for silly reasons, irrelevant reasons etc. In the case of my link removals, the misunderstanding could be easily solved by engagement. It's easy to miss cross-wiki issues unless one looks for them. If someone adds a single link to a wiki, that doesn't seem very harmful to most. And unless you're looking, you'll easily miss that they've also added the link to 20 other wikis. Or that they're using an entire range of IPs to add links to multiple domains owned by the same person. In the case in question, I wasn't concerned at the time with this wiki, but rather a bunch of wikis where the links were being pushed inappropriately. I'm not surprised people missed that fact, but I am surprised that "censorship!" and "attack!" were the immediate reactions. If something similar happened again, I'd hope people would be more open to the idea that there are some things which affect more than a single wiki, and I'd certainly try to engender that understanding. And again, Meta's community is composed of people who all come from "local" wikis -- that means we're generally conservative about making decisions for other people (as should be glaringly obvious in the case you mention, to anyone who has reviewed the discussion). – Mike.lifeguard | @en.wb 17:03, 16 November 2008 (UTC)
 * Would you do anything different if this happened again? Would you attempt to discuss the issue with the Wikiversity community so that they know what's up and wait for the Wikiversity community to make a decision before acting, or would you make the same assumptions again and act on what you feel the community would want if only they knew about what was going on elsewhere? Do you think you could of done anything different to have avoided the reactions you got? --dark[[Image:Yin yang.svg|12px]]lama 17:22, 16 November 2008 (UTC)
 * Yes, changing attitudes is exactly the idea - whether it's the community as a whole or individual editors. I didn't make enough of an effort at the time. As I'm more involved here now, I would make a better effort. – Mike.lifeguard | @en.wb 18:01, 16 November 2008 (UTC)
 * What kind of efforts would you make? Would you attempt to inform the Wikiversity community about issues that you see here that have also been happening elsewhere? Would you wait for the Wikiversity community to make a decide before acting? Can you provide examples of what efforts you would make on Wikiversity to try to improve attitudes and reduce reactions? --dark[[Image:Yin yang.svg|12px]]lama 18:09, 16 November 2008 (UTC)
 * Anyone who wants further information can add User:WikimediaNotifier/notifications to their watchlist. However it's simply not feasible to notify every wiki about every thing we do. For example, I just blacklisted over 200 domains of a notorious Russian spammer - is that something I need to clear with the English Wikiversity community? Every one of the other 730+ communities? No, that's silly. However when there is something of particular importance to English Wikiversity happening, I'll gladly bring it up here and encourage participation. Beyond that, it's up to others to get interested and involved. I can't force people to do that. – Mike.lifeguard | @en.wb 18:23, 16 November 2008 (UTC)

I think you've misunderstood. To clarify my questions: Can you provide examples of what efforts you would make on Wikiversity to try to improve attitudes and reduce reactions, when the Wikiversity community or a Wikiversity participant disagrees with your decision? For instance how would you respond next time, someone reverts your removal of links from a user page because they consider that an appropriate use of the user page on Wikiversity? Would you bring it up for discussion and wait for the Wikiversity community to make a decide before acting any further or do something else? --darklama 18:33, 16 November 2008 (UTC)
 * Discussion is all I can do. If you have better suggestions, I'd be happy to hear them. – Mike.lifeguard | @en.wb 18:37, 16 November 2008 (UTC)

It's not easy to admit I was wrong, even in part, yet I've done so.
Mike, A while ago you said "It's not easy to admit I was wrong, even in part, yet I've done so." I would like you to clarify: in general, how willing are you to admit it and apologise if somebody makes it clear to you that you have done something wrong? And would you thank that person for that or not? Thank you very much. Best, Hillgentleman | //\\ |Talk 21:12, 16 November 2008 (UTC)
 * I don't think I've ever not admitted mistakes when I've made them. I'm unsure why that would be surprising. – Mike.lifeguard | @en.wb 22:00, 16 November 2008 (UTC)
 * Mike, this is not the first time you have replied to simple direct questions with answers to rather different questions. Though it is within your rights, your skills and willingness to communication are disappointing.  Hillgentleman | //\\ |Talk 10:48, 19 November 2008 (UTC)
 * I think my statement is quite clear. It means that I cannot think of a case currently in which I made a mistake, and did not admit that I had done so. Furthermore, the second sentence is a reference to WV:AGF - apologies if you missed that. If that doesn't answer the question you asked, you'll have to be clearer with the question. – Mike.lifeguard | @en.wb 20:47, 19 November 2008 (UTC)

Status granted
✅, with near-unanimous support, Mike.lifeguard is a full custodian. mikeu talk 18:58, 16 November 2008 (UTC)

 * Closure re-added, but discussion can of course continue, and we'll archive after that. --SB_Johnny talk 22:28, 16 November 2008 (UTC)


text:
User talk:Cwatso41

Welcome
Hello Cwatso41, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may
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And don't forget to explore Wikiversity with the links to your left. Be bold, and see you around Wikiversity! --Emesee 20:43, 30 November 2008 (UTC)

title: User talk:Cwatso41


text:
President of the United States/Worksheets/Worksheet 2.A

Worksheet 2: Presidential Terms (Answer Sheet)
In this exercise, we continue creating our timeline by moving from Election Years to Presidential Terms. Using the table below, begin with the first Election Year and write down the beginning and end dates of every Presidential Term of Office.

On the surface, we again have a long list of numbers, but with the few facts we've so far gathered, we can add some meaning and relevance to a long list of four-year ranges.

The First Eight Presidents

 * 1) Who served the 1st term as the US President? - George Washington
 * 2) When did his term start? - 1789
 * 3) How many terms did he serve? - 2
 * 4) Who was the 2nd President? - John Adams
 * 5) Of the first eight presidents, who served only one term? - John Adams, John Quincy Adams, & Martin Van Buren
 * 6) Who was inaugerated at the beginning of the new century? - Thomas Jefferson (George W. Bush?)
 * 7) Who was the first father & son group of Presidents? - John Adams & John Quincy Adams
 * 8) What number President was the son? - 6th President
 * 9) What years did the son serve as President? - 1825-1829
 * 10) Which President left office in 1841? - Martin Van Buren

Adjusting the Timeline
In the table provided below, also notice that the first column of sequential numbers has been moved down so that 1. starts at 1788.
 * 1) Why do you think this change has been made? - The number 1. now coincides with the first Presidential term, and they are counted sequentially thereafter.
 * 2) How can this help us remember dates? - Knowing the number of a President's term can help identify when he was elected and which years he served. For instance, John Quincy Adams was the 6th President. Of the five Presidents before him, four served 2 terms, while his father served only 1 term, for a total of 9 terms, making his term number 10. The 9 terms times 4 years per term results in 36 years. Adding 36 to 1788 yields the election of 1824, or 36 to 1789 yields the beginning of his term in 1825, which ended in 1829.
 * 3) What are the drawbacks? - Well, the obvious drawback is way too much calculation. Sure, it may be handy for picking out election years over a short span, but over the length of 56 elections and soon 44 Presidents, remembering a specific term number is simple memorization all over again. And, as we've seen from the List of Presidents, the traditional method for numbering the Presidents is sequential, regardless of actual time in office. In spite of the pitfalls of large calculations, the general scheme of leap years, election years, and terms in office is particularly good for building up short chains of Presidents.

The Civil War Era

 * 1) Which election was held during the Civil War? - 1864
 * 2) Who was elected during the Civil War? - Abraham Lincoln as President, & Andrew Johnson as Vice President
 * 3) When was Abraham Lincoln first elected? - 1860
 * 4) Which years were Abraham Lincoln's inaugerations? - 1861 & 1865
 * 5) What year was Abraham Lincoln assassinated? - 1865
 * 6) Who finished out his term as President? - Andrew Johnson
 * 7) When did this term finish? - 1869
 * 8) Who was elected President in 1868? - Ulysses S. Grant
 * 9) How many terms did he serve? - 2
 * 10) What year did he leave office? - 1877


text:
User:Eml4500.f08.gravy.jad/Notes7

$$\ \,$$ $$\  \,$$ $$\  \,$$

Lecture 37

$$\ \left \lbrack \epsilon \right \rbrack = \frac{\left \lbrack du \right \rbrack}{\left \lbrack dx \right \rbrack} = \frac{L}{L}= 1 \,$$

$$\ \left \lbrack \sigma \right \rbrack = \left \lbrack E \right \rbrack = \frac{F}{L^{2}} \,$$

$$\ \left \lbrack A \right \rbrack = L^{2}, \left \lbrack I \right \rbrack = L^{4} \,$$

$$\ \left \lbrack \frac{EA}{L} \right \rbrack = \left \lbrack \tilde{k}_{11} \right \rbrack = \frac {\left ( F/L^2 \right ) \left ( L^2 \right )}{L} = \frac{F}{L} \,$$

$$\ \left \lbrack \tilde{k}_{11} \tilde{d}_{1} \right \rbrack = \left \lbrack \tilde{k}_{11} \right \rbrack \left \lbrack \tilde{d}_{1} \right \rbrack = F \,$$

$$\ \left \lbrack \tilde{k}_{23} \tilde{d}_{3} \right \rbrack = \left \lbrack \tilde{k}_{23} \right \rbrack \left \lbrack \tilde{d}_{2} \right \rbrack = \frac {\left \lbrack 6 \right \rbrack \left \lbrack E \right \rbrack \left \lbrack I \right \rbrack}{\left \lbrack L^2 \right \rbrack} = \frac{1.(F/L^2).L^4}{L^2} = F \,$$

Insert HW verify dimentions for kij and dj

Elem FD rel. in golbal coordinate from element FD rel. in local coordinate:

ie. obtain

$$\ \mathbf{k}^e_{6x6} \mathbf{d}^e_{6x1} = \mathbf{f}^e_{6x1} \,$$ $$\ \mathbf{k}^e_{6x6} = \mathbf{\tilde{T}}^{e^{T}}_{6x6} \mathbf{\tilde{k}}^e_{6x6} \mathbf{\tilde{T}}^{e}_{6x6} \,$$ from $$\ \tilde{\mathbf{k}}^e_{6x6} \tilde{\mathbf{d}}^e_{6x1} = \tilde{\mathbf{f}}^e_{6x1} \,$$

Insert HW7

$$\ \begin{Bmatrix} \tilde{d}_{1} \\ \tilde{d}_{2} \\ \underline{\tilde{d}}_{3} \\ \tilde{d}_{4} \\ \tilde{d}_{5} \\ \underline{\tilde{d}}_{6} \end{Bmatrix}_{6x1} = \underbrace {\begin{bmatrix} \mathbf{\underline{R}}& &0&0&0\\ & & 0&0&0&0\\ 0&0&\mathbf{1}&0&0&0\\ 0&0&0& \mathbf{\underline{R}}& &0\\ 0&0&0& & &0\\ 0&0&0&0&0&\mathbf{1} \end{bmatrix}_{6x6}}_{\tilde{\mathbf{T}}} \begin{Bmatrix} d_1\\d_2\\ \underline{d}_3\\d_4\\d_5\\ \underline{d}_6 \end{Bmatrix}_{6x1} \,$$ where $$\ \underline{d}_3 \,$$ and $$\ \underline{d}_6 \,$$ are rotational components, not displacement components

insert HW7- solve 2elem frame

insert HW7- plot deformed shape on top of previous figure

Derivation of $$\ \mathbf{\tilde{k}}^{(e)} \,$$ from PVW, focusing only on bending effect;

$$\ - \frac{\partial ^2}{\partial x^2} \left ( \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right ) + f_{t} \left ( x \right ) = m \left ( x \right ) \ddot{V} \,$$

$$\ + \frac{\partial ^2}{\partial x^2} \left ( \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right ) + f_{a} \left ( x,t \right ) = m \left ( x \right ) \ddot{u} \,$$

PVW for beams:

$$\ \int_{0}^{L} W\left ( x \right ) \left \lbrack - \frac{\partial^2}{\partial x^2} \left ( \left ( EI \right ) \frac{\partial^2 v}{\partial x} \right ) + f_t - m \ddot v \right \rbrack dx = 0 \,$$ for all possible W(x) (Eq 1)

Integrate by Parts of 1 st term:

$$\ \alpha = \int_{0}^{L} \underbrace{W \left ( x \right )}_{s \left ( x \right )} \frac{\partial^2}{\partial x^2} \left \lbrace \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right \rbrace dx \,$$ where $$\ \underbrace{\frac{\partial}{\partial x} \left ( \frac{\partial}{\partial x} \left \lbrace \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right \rbrace \right )}_{r'\left ( x \right )} \,$$

$$\ = \left \lbrack W \frac{\partial}{\partial x} \left \lbrace \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right \rbrace \right \rbrack _{0}^{L} - \int _{0}^{L} \underbrace{\frac{dW}{dx}}_{s' \left ( x \right )} \underbrace{ \frac{\partial}{\partial x} \left \lbrace \left ( EI \right ) \frac{\partial ^2 v}{\partial x^2} \right \rbrace}_{r \left ( x \right )} dx \,$$

$$\ = \beta_1 - \underbrace{\left \lbrack \frac{dW}{dx} \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} \right \rbrack_{0}^{L}}_{\beta_2} + \underbrace{\int_{0}^{L} \frac{d^2 W}{dx^2} \left ( EI \right ) \frac{\partial^2 v}{\partial x^2} dx}_{\gamma} \,$$

Equation (1) becomes: $$\ \beta_1 - \beta_2 - \gamma + \int_{0}^{L} W f_t dx - \int_{0}^{L} W m \ddot{v} dx = 0 \,$$ for all possible W(x)

Now focusing on the stiffness term $$\ \gamma \,$$ for the time being to derive the beam stiffness matrix and to identify the beam shape functions:

insert pic

$$\ v \left ( \tilde{x} \right ) = N_2 \left ( \tilde{x} \right ) \tilde{d}_2 + N_3 \left ( \tilde{x} \right ) \tilde{d}_3 + N_5 \left ( \tilde{x} \right ) \tilde{d}_5 + N_6 \left ( \tilde{x} \right ) \tilde{d}_6 \,$$ Equation 2

Recall: $$\ u \left ( \tilde{x} \right ) = N_1 \left ( \tilde{x} \right ) \tilde{d}_1 + N_4 \left ( \tilde{x} \right ) \tilde{d}_4 \,$$ Equation 4

insert pics

In accordance with the book, the following equations represent the above picure:

$$\ N_2 \left ( \tilde{x} \right ) = 1 - \frac{3 \tilde{x}^2}{L^2} + \frac{2 \tilde{x}^3}{L^3} \,$$ for $$\ \tilde{d}_2 \,$$

$$\ N_3 \left ( \tilde{x} \right ) = \tilde{x} - \frac{2 \tilde{x}^2}{L} + \frac{ \tilde{x}^3}{L^2} \,$$ for $$\ \tilde{d}_3 \,$$

$$\ N_5 \left ( \tilde{x} \right ) = \frac{3 \tilde{x}^2}{L^2} - \frac{2 \tilde{x}^3}{L^3} \,$$ for $$\ \tilde{d}_5 \,$$

$$\ N_6 \left ( \tilde{x} \right ) = - \frac{ \tilde{x}^2}{L} + \frac{ \tilde{x}^3}{L^2} \,$$ for $$\ \tilde{d}_6 \,$$

insert pictures

As determined previously in an above section:

$$\ \tilde{\mathbf{d}}^{(e)}_{6x1} = \tilde{\mathbf{T}}^{(e)}_{6x6} \mathbf{d}^{(e)}_{6x1} \,$$ where $$\ \mathbf{d}^{(e)}_{6x1} \,$$ is known after solving the Finite Element Systems.

The only thing left is to compute $$\ u \left ( \tilde{x} \right ) \,$$ and $$\ v \left ( \tilde{x} \right ) \,$$

insert picture

where $$\ \mathbf{u} \left ( \tilde{x} \right ) = u \left ( \tilde{x} \right ) \vec{\tilde{i}} + v \left ( \tilde{x} \right ) \vec{\tilde{j}} \,$$

Now we compute $$\ u \left ( \tilde{x} \right ) \,$$, $$\ v \left ( \tilde{x} \right ) \,$$ using Equations (1) and (2) as stated previously.

Computing $$\ u_x \left ( \tilde{x} \right ), u_y \left ( \tilde{x} \right ) \,$$ from $$\ u \left ( \tilde{x} \right ), v \left ( \tilde{x} \right ) \,$$

$$\ \begin{Bmatrix} u_x \left ( \tilde{x} \right ) \\ u_y \left ( \tilde{x} \right ) \end{Bmatrix} = \mathbf{R}^T \begin{Bmatrix} u \left ( \tilde{x} \right ) \\ v \left ( \tilde{x} \right ) \end{Bmatrix} \,$$

$$\ \begin{Bmatrix} u_x \left ( \tilde{x} \right ) \\ u_y \left ( \tilde{x} \right ) \end{Bmatrix} = \underbrace_{\mathbb{N} \left ( \tilde{x} \right )} \underbrace{\begin{Bmatrix} \tilde{d}_1^{(e)} \\ \vdots \\ \tilde{d}_6^{(e)} \end{Bmatrix}}_{\mathbf{\tilde{d}}^{(e)}} \,$$ Equation (2)

$$\ \begin{Bmatrix} u_x \left ( \tilde{x} \right ) \\ u_y \left ( \tilde{x} \right ) \end{Bmatrix} = \underbrace{\mathbf{R}^T}_{2x2} \mathbb{N} \underbrace{\left ( \tilde{x} \right )}_{2x6} \underbrace{\mathbf{\tilde{T}}^{(e)}}_{6x6} \underbrace{\mathbf{d}^{(e)}}_{6x1} \,$$ Equation (3)

Now lets note: how Equ (2), Dimensional Analysis

$$\ \lbrack u \rbrack = L \,$$, previously we also noted that $$\ \lbrack N_1 \rbrack = \lbrack N_4 \rbrack = 1 \,$$, and $$\ \underbrace{\lbrack N_1 \rbrack}_{=1} \underbrace{\lbrack \tilde{d}_1 \rbrack}_{= L} + \underbrace{\lbrack N_4 \rbrack}_{= 1} \underbrace{\lbrack \tilde{d}_4 \rbrack}_{= L} \,$$

also

$$\ \lbrack v \rbrack = L, \underbrace{\lbrack N_2 \rbrack}_{=1} \underbrace{\lbrack \tilde{d}_2 \rbrack}_{= L} = L \,$$(displacement, transverse)

The same can be said with the third component: $$\ \underbrace{\lbrack N_2 \rbrack}_{=1} \underbrace{\lbrack \tilde{d}_2 \rbrack}_{= L} = L \,$$

Insert HW for N5 and N6

Derive of beam shape functions $$\ N_2, N_3, N_5, N_6 \,$$ as previously shown.

Recall: Governing PDE for beams

Equ (1), without ft (distributed transversal load) and without inertia force, $$\ m \ddot{v} \,$$ (static case = 0) :

$$\ \frac{\partial ^4}{\partial x^2} \begin{Bmatrix} \left ( EI \right ) \frac{\partial ^2 v}{\partial x^2} \end{Bmatrix} = 0 \,$$

Further consider constant EI: $$\ \frac{\partial ^4}{\partial x^4} v = 0 \,$$ integrate fout times and get C0, ..., C3.

Thus $$\ \Rightarrow v \left ( x \right ) = C_0 + C_1 x^1 + C_2 x^2 + C_3 x^3 \,$$

To obtain $$\ N_2 \left ( x \right ) \,$$ ( $$\ \tilde{x} \cong x \,$$ ) for simplicity

$$\ v \left ( 0 \right ) = 1, v \left ( L \right ) = 0, v' \left ( L \right ) = 0, v' \left ( L \right ) = 0 \,$$

These are the boundary conditions to use to solve for C0, ..., C3.

$$\ v \left ( 0 \right ) = 1 = C_0 \,$$

$$\ v \left ( L \right ) = 1 + C_1 \cdot L + C_2 \cdot L^2 + C_3 \cdot L^3 = 0 \,$$ Equation (1)

$$\ v' \left ( x \right ) = C_1 + 2 C_2 \cdot x + 3 C_3 \cdot L^2 = 0 \,$$

$$\ v' \left ( 0 \right ) = C_1 = 0 \,$$

$$\ v' \left ( L \right ) = 2 C_2 L^2 + 3 C_3 L^3 = 0 \,$$

$$\ (2) \Rightarrow C_3 = - \frac{2}{3} \frac{C_2}{L} \,$$

$$\ (1) \Rightarrow 1 + C_2 L^2 - \frac{2}{3} \frac{C_2}{L} (L^3) = 1 + \frac{1}{3} C_2 L^2 = 0 \,$$

$$\ C_2 = \frac{-3}{L^2} \,$$ and $$\ C_3 = \frac{-2}{3} \frac{1}{L} ( \frac{-3}{L^2} ) = \frac{2}{L^3} \,$$ Compare with expression for N2 previously.

For N3: Boundary Conditions

$$\ v \left ( 0 \right ) = 0, v \left ( L \right ) = 0, v' \left ( L \right ) = 1, v' \left ( L \right ) = 0 \,$$

For N5: Boundary Conditions

$$\ v \left ( 0 \right ) = 0, v \left ( L \right ) = 1, v' \left ( L \right ) = 1, v' \left ( L \right ) = 0 \,$$

For N6: Boundary Conditions

$$\ v \left ( 0 \right ) = 0, v \left ( L \right ) = 0, v' \left ( L \right ) = 1, v' \left ( L \right ) = 1 \,$$

(See previous plots for N5 and N6.)

Derive coefficients in $$\ \tilde{\mathbf{k}} \,$$ (element stiffness matrix) coefficients with EA: Done

Derive coefficients in $$\ \tilde{\mathbf{k}} \,$$ (element stiffness matrix) coefficients with EI: To be done

$$\ \tilde{k}_{22} = \frac{12EI}{L^3} = \int_{0}^{L} \frac{d^2 N_2}{dx^2} (EI) \frac{d^2 N_2}{dx^2} dx \,$$

title: User:Eml4500.f08.gravy.jad/Notes7


text:
President of the United States/Vice Presidential Succession

What is a Vice President?
Like the President, the office of the Vice President is defined by the Articles of the Constitution, as well as the 20th Amendment and the 25th Amendment. In addition to succeeding the President, the Constitution also identifies the Vice President as the President of the Senate, but the only power given to this role is to break a tie vote. In the absence of a sitting Vice President, a President pro tempore of the United States Senate, or "President pro tem", is elected by the Senate to serve as President of the Senate. The President pro tem is third in line of succession to the Presidency, after the Vice President of the United States and the Speaker of the House of Representatives.

Seccession and Term of Office
In accordance with the Articles of the Constitution, when Vice Presidents succeed to the Presidency, they serve the remainder of the term, so the next election year proceeds as scheduled. The net effect is that a term of office is split between two people. The number of instances of succession are instructive for many reasons, so let's take a closer look at them.

A handy way to quickly identify successions to the Presidency is to scan the List of Inaugurations, so let's take a quick look. As discussed previously, the 1st inauguration of George Washington was April 30, 1789. However, the 2nd inauguration was March 4, 1793, as were the following inaugurations with little variation, until April 6, 1841, when John Tyler became the 10th President. A total of 6 successions occured before the date of inauguration was first changed to January 20th in 1937, when Franklin D. Roosevelt, the 32nd President, was inaugurated for his 2nd term. With his death after the beginning of his 4th term, FDR became one of another 3 Presidents to be succeeded by their Vice President, making a total of 9 throughout US History.

1840 Election - William Henry Harrison & John Tyler
William H. Harrison had won the election of 1840 to become the 9th President. Only 30 days after his March 4th inaugeration, William Henry Harrison died of pneumonia. Upon taking the Presidential Oath of Office, John Tyler took the position that he was indeed the President, and not merely an Acting President. Though the situation was unprecedented, his claim was considered consistent with the Articles of the Constitution and he became the first Vice President to succeed to President.

1848 Election - Zachary Taylor & Millard Fillmore
A little over nine years later, a similar incident occurred with the death on July 9, 1850 of Zachary Taylor, the 12th President. Elected together in 1848, he was succeeded by Millard Filmore, the 13th President, inaugerated one day later on July 10, 1850. Though the official cause of death was gastroenteritis, typically a viral infection, there are those who believe Zachary Taylor was intentionally assasinated by poisoning of the food he sampled during the July 4th celebration only five days previous.

1864 Election - Abraham Lincoln & Andrew Johnson
As the Civil War ground towards its final conclusion, the Presidential election proceded as scheduled in late 1864 when Abraham Lincoln, the 16th President, ran for his second term with Andrew Johnson as his running mate. Winning by the proverbial landslide, Abraham Lincoln was again inaugerated on March 4, 1865. A little over a month later on April 9th, General Robert E. Lee of the Confederate States of America (CSA) surrendered to General Ulysses S. Grant of the United States of America (USA) at the Appomattox Court House in Virginia. Six days afterwards, Abraham Lincoln was pronounced dead on April 15th, having been shot in the head at point-blank range by John Wilkes Booth the night before at Ford's Theater. Later that morning, Andrew Johnson was sworn in as the 17th President, becoming the first Vice President to succeed upon the assassination of a President.

1880 Election - James A. Garfield & Chester A. Arthur
In 1881, James A. Garfield, the 20th President, became the second president to be assassinated. Elected to office in 1880 with Chester A. Arthur as his running mate, James A. Garfield served slightly less then four months before being shot by Charles J. Guiteau the morning of July 2, 1881. For over two months, the President grew increasingly ill due to the complications of blood poisoning and pneumonia associated with the bullet lodged in his back, eventually passing away on September 19th. Later that same day, Chester A. Arthur was sworn in as the 21st President.

1900 Election - William McKinley & Theordore Roosevelt
The 1900 election of William McKinley, the 25th President, and Theodore Roosevelt, his Vice President, ushered in a new Century. First inaugerated in 1897, William McKinley was the last of the Civil War veterans to hold office, and during this first term, presided over the Spanish-American war from April to August in 1898. On September 6th, 1901, six months after his second inaugeration, William McKinley was shot twice by Leon Frank Czolgosz (Zol-gash). While the first bullet was removed from his shoulder, the second had ripped through his stomach, pancreas, and kidney, then finally lodged in the muscles of his back. For about six days he appeared to be improving, but after his first sup of toast and coffee, he relapsed and died from gangrene surrounding his wounds on September 14th, 1901. Traveling by train to the President's side, Theodore Roosevelt was notified by telegram that his predecessor had died at 2:30 AM. Later in the day, he was sworn in as the 26th President at the Ansley Wilcox House in Buffalo, New York.

1920 Election - Warren G. Harding & Calvin Coolidge
Warren G. Harding served as the 29th President from 1921 to 1923 when he passed due to a heart attack or a stroke at 7:35 p.m. on August 2, 1923. In the Aftermath of World War I, Warren G. Harding and Calvin Coolidge won the 1920 election with a promised return to Normalcy. However, his term in office was plagued by scandalous Cabinet members, and on a return trip from Alaska he fell ill and then died, leaving Calvin Coolidge to succeed him as 30th President.

1944 Election - Franklin D. Roosevelt & Harry S. Truman
In late 1944, even as World War II was drawing towards a close, Franklin D. Roosevelt, the 32nd President was elected to his fourth term, while his running mate Harry S. Truman began his first term as Vice President after previously serving as Senator from Missouri. Having already served two terms during the Great Depression and another during WWII, Franklin D. Roosevelt was inaugerated yet again on January 20, 1945, then died a little over three months later on the afternoon of April 12th after suffering a massive cerebral hemorrhage. Upon his death, Harry S. Truman was sworn in as the 33rd President to command the final US victories over both Germany and Japan.

1960 Election - John F. Kennedy & Lyndon Johnson
Following the first televised Presidential Debates, John F. Kennedy, the 35th President, and his running mate, Lyndon B. Johnson, where elected to office in 1960. For nearly three years following his inaugeration, John F. Kennedy made monumental decisions during such world events as the Bay of Pigs, the Cuban Missle Crisis, and the growing confrontation that would become the Vietnam War. On the domestic front, he presided over events associated with the Civil Rights Movement, the Space Program, the Peace Corps, and as always, the Economy. Shortly after noon, on November 22, 1963, John F. Kennedy was assassinated in Dallas, Texas by Lee Harvey Oswald, who was himself shot and killed by Jack Ruby. Two hours after the death of his predecessor, Lyndon B. Johnson was sworn in as the 36th President on Air Force One at Love Field Airport in Dallas.

1972 Election - Richard Nixon & Spiro Agnew
Vice President during the Eisenhower administration, Richard Nixon was himself elected as the 37th President in 1968, with Spiro Agnew as his running mate. After a first term replete with significant events, such as the Apollo Moonwalks, the end of the US Draft, Desegregation, and the first Presidential visit to China, Richard Nixon was elected at the height of his popularity to a second term in 1972. Shortly after his second inaugeration the Paris Peace Accords were signed on January 27, 1973, officially ending direct US involvement in the Vietnam War. Yet, only a few months before the election, on June 17, 1972, several men were caught breaking into Democratic Party headquarters at the Watergate Hotel in Washington, D.C. As the Watergate scandal quickly grew, Spiro Agnew was himself under investigation by the United States Attorney’s office, on charges of extortion, tax fraud, bribery, and conspiracy, finally beoming the first Vice President to resign from office on October 10, 1973. Two days later, on October 12th, the vice-presidential vacancy provision of the 25th Amendment was implemented for the first time as the US Senate nominated Gerald Ford, who took the oath of Vice President on December 6, 1973. In the following year, the House Judiciary Committee, controlled by Democrats, opened formal and public impeachment hearings on May 9, 1974. By the end of July, they voted to recommend three articles of impeachment against the President for obstruction of justice, abuse of power, and contempt of Congress. On August 5, 1974, the Smoking Gun Tape was released, its contents making clear the President's complicity in the Watergate Scandal. Richard Nixon resigned as US President on August 9, 1974, and Gerald Ford was sworn in as the 38th President. One month later, Gerald Ford pardoned Richard Nixon on September 8, 1974.

Assignment
Complete Worksheet 3.


text: File:Multicell.jpeg

title: File:Multicell.jpeg


text:
User:Muzekal Mike

Muzekal Mike
I am a very weird person. I admit it. I live in Rensselaer, Indiana, Indiana. If you don't know where it is, it's directly south of Lake Michigan in the United States. If you don't know where that is, chances are, you don't know what a globe is. I became a user on Wikiversity on November 30, 2008. My username is Muzekal Mike because I'm good with musical instruments and my last name is Muzek.

 * Check out my user page on Wikipedia here (it's way cooler).

title: User:Muzekal Mike


text:
User:Stevenarntson/group spaces/winter 2008/English Composition

Below are the pages for your groups. After you click through, start working. You can edit one another's work and make subpages as needed. Use the discussion tabs for relevant discussion. On week five, you will briefly present to the class. During the week following those presentations, I will assess and grade the completed projects.

 * /group 1/
 * /group 2/
 * /group 3/
 * /group 4/
 * /group 5/


text:
User:Stevenarntson/group spaces/winter 2008/Analytical Writing

Below are the pages for your groups. After you click through, start working. You can edit one another's work and make subpages as needed. Use the discussion tabs for relevant discussion. On week five, you will briefly present to the class. During the week following those presentations, I will assess and grade the completed projects.

 * /group 1/
 * /group 2/
 * /group 3/
 * /group 4/
 * /group 5/


text:
User:Stevenarntson/Freshman Seminar/self assessment

 * Today I'll round out some of the themes we've been discussing this quarter by showing an excerpt from a movie about The Yes Men.
 * Presentations signup.
 * The SSALE Phenomenon.
 * Self Assessment


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User:Eas4200c.f08.blue.a/Lecture 36

3) Back to superposition

$$q_{ij}=q+\tilde{q_{ij}}$$

M. Multicell
First, consider a case without stringers

For n cells we have:

$$R^{\bar{z}}+\sum_{i=1}^{n cells}{R^{\bar{z}}_{i}}$$

and

$$R^{\bar{z}}=0$$

The probelm can be broken down using superposition. the first part of the problem consists of computing the shear flow of the web. The second problem consists of computing the shear in the stringers. The cuts to the walls have been made in read int eh figure below.

The shear flow across all of the cut sections can be assumed to be zero. Once the solutions to the two parts of the problem have been solved, they can simply be added together like so:

$$R^{\bar{z}}=R^{z_{1}}+R^{z_{2}}$$

Note that $$R^{z_{1}}=0$$

and thus,

$$R^{\bar{z}}=R^{z_{2}}=V_{z}$$

title: User:Eas4200c.f08.blue.a/Lecture 36


text: File:Superposition.jpg

title: File:Superposition.jpg


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User:Stevenarntson/Freshman Seminar/assignments

 * Each of the three assignments below constitutes one third of your grade in the course. Also required is an ungraded self-assessment, completed at the end of the term.

Assignment: I've Always Wanted To

 * presentation guidelines

This assignment will be underway for the entire quarter; we’ll begin it on the first day of class, and conclude it during the final two sessions. The gist of it is this: you’ll decide on something you’d like to accomplish this quarter—something unrelated to your studies here. For instance “I want to learn to skateboard” would be great, but “I want to pass my Photoshop class” wouldn’t be.

step 1 - brainstorm some wants
There are many things in life I’d like to do and haven’t. I want to speak Spanish; I want to play the guitar; I want to read Proust’s Swann’s Way and Salman Rushdie’s The Satanic Verses. I want to know the calls of the birds of the northwest, I want to publish a book, travel in Europe, etc.

Part one of this assignment is to think about some things you want, and then decide upon one that you think you could accomplish this quarter. My request of you is that you decide on something that will be somewhat difficult, but not impossible. This, of course, is partly in how you define what you wish to do—“learn Spanish” might be a tall order, but “Learn 100 basic Spanish phrases” might not be. “Travel to Europe” probably won’t happen by the end of the quarter, but you could plan the trip in detail, save money, buy your tickets, and get your passport. Make your ideas classroom appropriate, please, and legal. I don’t want to hear about your desire to murder someone, sleep with someone, or smoke crack--please talk to me if you have questions about classroom appropriateness.

You also cannot:
 * Use money as a reason you did not complete the assignment.
 * You cannot get a tattoo.

step 2 - research
Identify an aspect of your project that will involve research. If you want to learn to skateboard, you might research different kinds of skateboards, or do some reading on the history of skateboards. If you want to read Moby Dick, you could do some research on whale hunting, Nantucket, or the life of Herman Melville. If you want to travel to Europe, do some research on the countries you’re thinking of visiting.

Required sources: Book, Internet Site, Scholarly Journal, and one other source.

step 3 - for next week
Fill out the schedule on your userspace on this wiki, detailing what you intend to accomplish each week. You'll establish a measurable ultimate goal, and then a series of steps to get you there. Be realistic! For instance, if I wanted to read Moby Dick I could just say “I’ll read five pages a day.” However, that probably won’t work. I’ll fall behind a day, then two days, and before I know it, I’m off the rails. A more interesting system might be: a) Figure out a way to make the process fun, rather than relying on my “iron will” to carry me through. Face it: none of us has an iron will—-we just want to have a good time. In the case of Moby Dick, I would probably try to mix the reading in with other things I enjoy, such as making a practice of going to the park or the library to read. Or reading in the morning while I drink some good coffee.	b) Find two friends who will read Moby Dick with me. c) Overplan--establish goals in excess of the minimum. Sort of like setting a your watch ahead by five minutes.	d) Stop midway and assess how I’m doing, to see if I should change my strategy or not. We'll be doing this as a class at midterm.

as the quarter continues
You’ll periodically share how you’re doing on your goal—-both your successes and your failures. One great thing about education is that you have a bunch of people in the same situation as you. They can encourage you along the way.

practice presentations
Around week 8, you’ll practice giving your presentations in small groups in class, helping you hone what you need to say and making sure you’ve included everything you need to include.

final presentations
At the end of the quarter, each of you will present to the class what you’ve accomplished. (see the Presentation Guidelines handout).

Don’t worry too much (but do worry a little) about completely accomplishing everything you set out to do. A well-analyzed failure is more interesting than a shallow success.

Part I: Taste and Aesthetics
In class we discussed some of the many forces that shape what we like and dislike. Sometimes people get on a pretty righteous kick about what’s good and bad, and that’s OK, but for this assignment, adopt a somewhat more humble perspective about your own tastes. We’re going to go to the Olympic Sculpture Park up the street. Find a sculpture you don’t like. You will try to manipulate yourself into liking it, using some of the ideas we discussed in class:

 * 1) Look at the work in person.
 * 2) Learn about the artist at the AIS library, or online.
 * 3) Look at more examples of that artist’s work.
 * 4) Find work by other artists that relates to this artist’s work.
 * 5) Go back later in the week and look at the piece again.

Finally, write 300 words (or so) about what happened. Were you able to manipulate yourself into changing your mind, or not? If so, how does that feel? If not, is it depressing to know that you can’t control your own brain?

Part II: Manipulation
Today we'll discuss ways people can get confused through rhetorical trickery, specifically through the use of logical fallacies and misuses of language.

This week, find two examples of logical fallacies or misuses of language:
 * 1) A fallacy or misuse committed on purpose, such as in an advertisement (in any media—print, video, Internet, handbill, etc.). This fallacy or misuse is being used with calculation to manipulate an audience. Take some time to see how the fallacy or misuse is used in the work, and how you expect it to manipulate the audience it’s for.
 * 2) A fallacy or misuse accidentally committed. This might be in a blog, or an op-ed piece, or even in a conversation you’ve had.
 * 3) Please don't search on "fallacies" to complete this assignment--you'll find examples from a bottle. I'm interested in real examples you run across in life. They are everywhere.

Next week, you'll stand up and talk about how you see them functioning.

Part III Progress Report: Always Wanted To
100 words or so about how your project is going so far. Assess where you're at. Is your goal is still feasible, or should it be adjusted? Has anything unexpected come up? Include a strategy for dealing with it here.

Participation

 * Attendance, including field trips
 * Participation, including discussion and in-class assignments

Self Assessment
This is due, posted at your user page, on the final week of the quarter.