Virtual Work: Trusses $(20$ Pts$)$

Use the method of virtual work and determine the vertical displacement of joint $B$ for the truss below. Member $AB$ experiences a temperature change of $T=10C$ and member $BC$ is fabricated $1cm$ short. For all members, cross section is $10c{m}^2,E=2{10}^{11}Pa,$ and $=\frac{{10}^{-5}}{}C.$ Use the analyzed truss under a unit load $($second figure$)$ and tables below for your calculations. Finding member forces under the real loads is $25\%$ of the grade. Note: $1Pa={10}^{-3}k\frac{N}{m^2}$ and $1c{m}^2={10}^{-4}{m}^2$

For loads:

$\backslash$table$[[$Member$,n,N,L,A,E,nN\frac{L}{A}E$