Question $3(40$ Points$)$: Determine the support reactions of

the given two$-$member truss using the stiffness method. $AE$

is constant.

Note:

$x$ : Last digit of your student number $+1$

$y$ : Last two digits of your student number $+1$

k=EI[12L36L2-12L36L24L-6L22L-6L212L3-6L2

6L22L-6L24L]

$\frac{6}{L^2}$

$-\frac{12}{L^3}$

$\frac{6}{L^2}$

$-\frac{12}{L^3}$

$\frac{6}{L^2}$

$k=\frac{AE}{L}\left[\begin{array}{ccccccccccccc}{}_x^2& {}_x{}_y& -{}_x^2& -{}_x{}_y& {}_y^2& -{}_x{}_y& -{}_y^2& -{}_x{}_y& {}_x^2& {}_x{}_y& -{}_y^2& {}_x{}_y& {}_y^2\end{array}\right]$

$-{}_x{}_y$

$-{}_x^2$

${}_x{}_y$