User:Eml4500.f08.team.foskey.ckf/teamHW6

Team "TEAM"

HW6 Wiki Report

Lecture Notes

Nov 3 - James Dwyer

Nov 5 - Joseph Figuerrez (done)

Nov 7 - Jin Guan (done)

Nov 10 - Jin Guan (done)

Nov 12 - Tim Bengtson

Nov 14 - Jin Guan (done)

Determining if the electric pylon is statically indeterminate - Joseph Figuerrez (done)

MATLAB electric pylon -Cory

eigenvalues of the pylon - Cory (might need help though)

HW problems:

Nov 3 - redo rectangle truss problem from hw 4 (redraw the eigenvector mode diagrams) see []

Nov 5 - Provide the step before getting the equation Kd=F

Nov 7 - provide function for N_i(x)

Nov 10 - evaluate u(x_i+1)=d_i+1

Nov 12 - fill in the B matrix's first column $$B(x)=\begin{bmatrix} HW & \frac{1}{L_{(i)}}\\ \end{bmatrix} $$, verify $$k^{(i)}=\frac{EA}{L^{(i)}} \begin{bmatrix} 1 &-1\\ -1 &1\\ \end{bmatrix} $$ by evaluating (working out the multiplication of matrices and integration)$$k_{2x2}^{(i)}=\int_{x_i}^{x_{i+1}}{B(x)^T_{2x1}EA(x)_{1x1}B(x)_{1x2}dx}$$ the details of these can be found in the book on p. 153-154 verify $$k^{(i)}=\frac{EA}{L^{(i)}} \begin{bmatrix} 1 &-1\\ -1 &1\\ \end{bmatrix} $$ by evaluating (working out the multiplication of matrices and integration) $$k_{2x2}^{(i)}=\int_{0}^{\tilde{x}}B(\tilde{x})^T_{2x1}EA(\tilde{x})_{1x1}{B(\tilde{x})_{1x2}d \tilde{x}}$$ the details of these can be found in the book on p. 153-154 find $$k^{(i)}$$ for $$A(\tilde{x})=N_1^{(i)}(\tilde{x})A_1+N_12^{(i)}(\tilde{x})A_2$$ and $$E(\tilde{x})=N_1^{(i)}(\tilde{x})E_1+N_12^{(i)}(\tilde{x})E_2$$ Nov 14 -