Problem No 3 30 points Calculate the equivalent moment of th

Problem No. 3 (30 points) Calculate the equivalent moment of the distributed Load and its moment around support B F R (32-6x+ 2x)d x 4 ft

Solution

The equivalent moment of the distributed load about support B can be calculated as shown below:

let us consider an elemental strip of width dx at a distnace x from support A

w(x)=32-16x+2x²

moment of the elemental force about support B=dM=(32-16x+2x²)(4-x)dx=

integrating this over the beam ;length,we get

moment about the support B= 128 lb-ft counterclockwise