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Part A Displacements of Pin$-$Jointed Frames and Beams Using ULM and Influence Lines for Statically Determined Beams

Q$\mathrm{.}1$ A statically determinate pin$-$jointed steel frame is shown in Figure Q$\mathrm{.}1.$ The cross$-$sectional area of all members, A$,$ is equal to $4500m{m}^2$ with the modulus of elasticity $E=210k\frac{N}{m}{m}^2.$ Using the Unit Load Method and the data given, determine the vertical deflection at joint $C,$ including

$($a$)$ establishing the P$-$forces diagram for the applied loads,

$(8)$

$($b$)$ establishing the $u-$forces diagram when applying a vertical unit load at joint C$,$

$(7)$

$($c$)$ calculating the vertical deflection at joint $C$ by using a table, and

$(8)$

$($d$)$ indicating which member need to be strengthened most from the calculated P$-$forces.

$(2)$

Total $[25]$