$7$Question $5$

A frame, with a fixed and pinned supports as shown in Figure Q$5,$ carries a uniformly

distributed load of $5k\frac{N}{m}.$ The Young's modulus of elasticity and second moment of

area for each of the frame members are $200{10}^{6}k\frac{N}{m^2}$ and $40{10}^{6}mm,$

respectively.

$($a$)$ Using slope$-$deflection method, determine the moments at A$,$ B and C$.$

$($b$)$ Draw the bending moment diagram for the frame.

$(17$ Marks$)$

$(8$ Marks$)$

$($Sub$-$total $25$ Marks$)$

Figure Q$5$: A frame with fixed and pin supports