Test $1$: $2$ hrs

Question $1(4$ marks$)$

Explain the following terms as used in flexibility method to analyse indeterminate structures.

$($a$)$ Particular solution

$($b$)$ Complementary solution

Illustrate your explanation with diagrams

Question $2(24$ marks$)$

Use the flexibility method to analyse the rigid frame shown in Figure $1.$ Assume EI is constant.

Figure $1$

Question $3$: $(30$ marks$)$

Use the flexibility method to analyse the truss shown in Figure $2.$ Assume EA is constant $(\backslash (\backslash$mathrm$\{$E$\}=200\backslash$mathrm$\{$GPa$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$A$\}=1200\backslash$mathrm$\{$~mm$\}^\{2\}\backslash ))$