Answer to Question #231718 in Civil and Environmental Engineering for Ali

Question #231718

Determine the horizontal and vertical components of reaction on the member at the pin A, and the normal reaction at the roller B.


1
Expert's answer
2021-09-06T00:53:23-0400

Take moment about A.

ΣM=O\Sigma M =O

NBcos30(6)-NBsin30(2)-750(3)=0

5.19NB-NB-2250=0

NB=536.22 lb


equilibrium of forces along x-direction

WΣFx=0W\Sigma Fx=0

Ax=NBsin30

Ax=536.22sin30

Ax=268.11 lb


equilibrium of forces along y-direction

WΣFy=0W\Sigma Fy=0

Ay+NBCos(30)-750=0

Ay+536.22Cos(30)-750=0

Ay=285.61 lb




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