Question $3(25$ Marks$)$

A $25m$ span beam supporting a uniformly distributed load of $5k\frac{N}{m},$ a point moment of $20kN.m$ at $10m$ from the left end, and a point load of $10kN$ at the right end is shown in Figure $3.$

$($a$)$ Calculate the support reactions.

$(5$ marks$)$

$($b$)$ Draw to scale, on graph paper, the shear force diagram.

$(7$ marks$)$

$($c$)$ Draw to scale, on graph paper, the bending moment diagram.

$(8$ marks$)$

$($d$)$ Over what length of the beam are the bending stresses compressive on the top surface of the beam?

$(5$ marks$)$

Note: Shear force and bending moment diagrams should be properly labelled with units $($on both axes$).$ Maximum values should be indicated.

Question $4(25$ Marks$)$