Part $1$

A timber $[E=13$GPa beam is loaded and supported as shown. The cross section of the timber beam is $b=100-mm.$ wide and $h=310-mm$ deep. The beam is supported at $B$ by a $11-mm-$diameter steel $=210$GPa rod, which has no load before the distributed load is applied to the beam. After a distributed load of $w=5k\frac{N}{m}$ is applied to the beam, determine:

$($a$)$ the force carried by the steel rod.

$($b$)$ the maximum bending stress in$-$the timber beam.

$($c$)$ the deflection of the beam at B$.$

Assume $1=18\frac{m}{E}nm$

Treat the reaction force from the rod $(1)$ as the redundant, leaving a simply supported beam as the released beam. Determine the deflection of the wood beam $v_{Bw}$ at $B$ due to the distributed load $w=5k\frac{N}{m}.$ An upward deflection is positive, downward is negative.

Answer: $y_{Bw}=$ mm $.$

eTextbook and Media

Seveforitater

Attempts: unlimited $$

Part $2$