Problem

Two simply supported I$-$ beams $($one on the left and another one on the right of the bridge$)$ are to be used for a single lane bridge and to complete a design to allow vehicles transported from one side of a river to the other. Each simply supported I$-$beam is the carry half of the load applied by the moving vehicles. Chief engineer needs to sclect an appropriate member dimensions and have some questions to be answered. Your team needs to provide answers his questions.

Question

a$.$ Draw influence line for the beam.

b$.$ Determine the magnitude of the absolute maximum shear in the beam,

c$.$ Determine the magnitude of the absolute maximum bending moment on the beam,

d$.$ Determine the maximum deflection of the beam under the worst case scenario by taking modulus of elasticity $E=200$GPa and the moment of inertia of the

member $I=162700000m{m}^4.$

If a$=11$m$,$ b$=40$kN$,$ c$=20$kN$,$ d$=19$kN$,$e$=4$m and f$=1\mathrm{.}4$m