Question 5.90: Determine the x, y, z components of reaction at the ball sup...
Determine the x, y, z components of reaction at the ball supports B and C and the ball-and-socket A (not shown) for the uniformly loaded plate.
W=(4 \mathrm{ft})(2 \mathrm{ft})\left(2 \mathrm{lb} / \mathrm{ft}^2\right)=16 \mathrm{lb}
\Sigma F_x=0 ; \quad A_x=0
\Sigma F_y=0 ; \quad A_y=0
\Sigma F_z=0 ; \quad A_z+B_z+C_z-16=0
\Sigma M_x=0 ; \quad 2 B_z-16(1)+C_z(1)=0
\Sigma M_y=0 ; \quad-B_z(2)+16(2)-C_z(4)=0
Solving Eqs. (1)—(3):
A_z=B_z=C_z=5.33 \mathrm{lb}
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