Problem $3$

$($Maximum marks: $16/$ recommended time: $40$ minutes$)$

The continuous and statically determinate beam is subject to a uniformly distributed load of $10k\frac{N}{m},$ a couple of $8kNm$

and a vertical force of $6kN$ as shown in the figure.

a$)$ Determine the reactions at supports A and $B.$

b$)$ Draw the shear force diagram for the entire beam on the next page.

c$)$ Draw the bending moment diagram for the entire beam on the next page.

d$)$ Determine the location with respect to support A and value of the maximum magnitude of the bending moment in

the beam.