Use stiffness coefficient method and analyse the frame shown in Figure $1.$ The properties of the

frame are constant, I$=0\mathrm{.}4039$m$^(4),$E$=39$GPa and A$=4039$cm$^(2)$

Use the flexibility method and analyse the truss shown in Figure $2.$ Assume that the property of

the truss and is constant for each member.

Figure $2$

Use stiffness matrix method to analyse the beam shown in Figure $3.$ Assume EI is constant in each member and $\{$:A$=833$cm$^(2)).$

Figure $3$ Figure $4$ shows the two$-$dimensional loaded rectangular plate. The plate nodal displacements are u$\_(1)(0\mathrm{.}004$cm$),$v$\_(1)(0\mathrm{.}004$cm$),$u$\_(2)(0\mathrm{.}004$cm$),$v$\_(2)(0\mathrm{.}0040$cm$),$u$\_(3)(0\mathrm{.}00$cm$)$ and v$\_(3)(0\mathrm{.}00$cm$).$ The elastic modulus is $403$ GPa and the poison's ratio is $0\mathrm{.}40.$ Assume a unit thickness for plain strain and stress conditions for the solution. Compare the stress conditions and use the finite element method to compute the principal stresses.

Note: The nodal coordinates are in cm and do not leave your answers with multipliers

Figure $2$