A 40 foot beam that weighs 125 pounds is supported at the two ends by walls. It also supports a 600 pound AC unit 5 feet from th

Question

4 years ago

12

A 40 foot beam that weighs 125 pounds is supported at the two ends by walls. It also supports a 600 pound AC unit 5 feet from th

e right hand wall. Calculate the force the right hand wall (closest to the AC) must support.
A) 588 pounds
B) 138 pounds
C) 725 pounds
D) 608 pounds

Physics

1 answer:

Dmitrij [34] · Answer 1 · 2021-12-16T06:50:53+03:00

Answer:

A) 588 pounds

Explanation:

According to the given conditions, we assume the beam to be simply supported at the ends carrying a uniformly distributed load of 125 pounds per feet and a point load of 600 pounds acting at 5 feet from the right support.

Referring the schematic:

<u>Moment about any point will be zero in equilibrium condition. </u>

∴Take moment about point L

$F_r\times 40=125\times 20+35\times 600$

$F_r=587.5 lb$