Problem 2. The beam is subjected to a distributed load varying from 600 N/m to 1
ID: 1713886 • Letter: P
Question
Problem 2. The beam is subjected to a distributed load varying from 600 N/m to 1200 N/m as shown. The beam is supported by two supports – one exerting a distributed force of wA N/m and the other exerting a distributed force of wB N/m on the beam. Determine the values of wA and wB for the beam to be in equilibrium.
Problem 2. The beam is subjected to a distributed load varying from 600 N/m to 1200 N/m as shown. The beam is supported by two supports - one exerting a distributed force of wA N/m and the other exerting a distributed force of wB N/m on the beam. Determine the values of wA and wB for the beam to be in equilibrium. 200 N/m 600N/m 0.5mExplanation / Answer
The problem can be solved by considering moment equilibrium.Let us consider the moment equilibrium of beam at the center of load WA
600(0.6+0.8+3.1+1+0.5)*[(0.6+0.8+3.1+1+0.5)/2 - 0.6-0.4]+ 0.5*600*(0.6+0.8+3.1+1+0.5)*[(2/3)*(0.6+0.8+3.1+1+0.5)-0.6-0.4]-WB*1*(3.1+0.4+0.5)=0
WB = 3150 N/m = 3.15kN/m(vertically upwards)
From vertical equilibrium of beam,
0.5*6*(600+1200)-3150=0.8*WA
WA = 2812.5 N/m = 2.8125 kN/m(vertically upwards)
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