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$)$