Ouestion $2(40\%)$

A simple beam with span $2\mathrm{.}5m$ is supporting a design uniform moment of $210kNm$ and a design

shear force of $420kN($self$-$weight of the beam is considered in the design load$).$ Lateral restraints are

only provided at the two supports, at which both flanges are fully restrained from rotation on plan. A

steel section UKB $35617151($S$275)$ is employed as the simple beam.

a$)$ Determine the design buckling resistant of the beam.

b$)$ Determine the design plastic shear resistant of the section.

c$)$ Considering the combined bending and shear effects, determine the deisgn moment resistant

of the section.

d$)$ State one method to increase the design moment of this simple beam. Briefly explain your

method.