Question Six $($Beam Deflection$)$

A $1\mathrm{.}2$ m long steel beam has been extended in length by bolting on a rigid extension. The steel

beam is made from a $250$ PFC $($Properties table at the end of the exam paper$)$ and is bending

about the sections X axis. Modulus of elasticity of the steel beam is E$=200$ GPa. The bolted

connection can be considered as two point loads $($one at each bolt location$).$ Neglect the mass of

the beams.

a$)$ Determine the point load at each bolt.

b$)$ On a sketch of just the steel beam, show the direction of the loads applied to the steel

beam.

c$)$ Determine the deflection at the END of the STEEL beam $(1\mathrm{.}2$ m from the support$).$

d$)$ Determine the max bending stress in the steel beam. Clearly indicate the location of this

stress on the beam.