QUESTION $4$: $(25$ marks$)$

$4\mathrm{.}1.$ The supports of the followed truss beam are pin$-$pin. Check if it is isostatic

system or hyperstatic system or mechanism. $(10$ marks$)$

$4\mathrm{.}2.$ Pre$-$estimate the type of stress for each rod of the truss beam $($compression or

tension or zero$),$ without calculations but giving enough explanation about the

methodology you will use for that. $(15$ marks$)$ QUESTION $3$: $(25$ marks$)$

A beam with length $L=5\mathrm{.}0m$ is supported by two pins at the top of two columns with

height of each column $4\mathrm{.}0m.$ Each column has Elc$=200KN{m}^2.$ The distributed load

at the beam is $q=6K\frac{N}{m}.$

$3\mathrm{.}1.$ Check the columns if they can resist to the buckling or not $10$ marks$)$

$3\mathrm{.}2.$ Estimate the stiffiness of each column $(Kc)$ and the stiffness of the frame $(K)110$

marks$)$

$3\mathrm{.}3.$ For horizontal lateral load $5KN,$ estimate the lateral displacement of the frame.

$(5$ marks$)$