A nuclear-reactor vessel has a weight of 500(103) lb. Determine the horizontal compressive force that the spreader bar AB exerts on point A and the force that each cable segment CA and AD exert on this point white the vessel is hoisted upward at constant velocity.
Prob. 3–13
The horizontal compressive force that the spreader bar AB exerts on point A.
The force that each cable segment CA and AD exerts on point A.
Answer to Problem 13P
The horizontal compressive force that the spreader bar AB exerts on point A
The force that each cable segment CA and AD exert on point A,
Explanation of Solution
Given information:
The weight of a nuclear reactor vessel (W) is
Show the free body diagram of the cable about point C as in Figure 1.
Show the free body diagram of the cable about point A as in Figure 2.
Determine the horizontal compressive force of each cable segment CA and AD by applying the equation of equilibrium.
At point C
Along the horizontal direction:
Here, the force acting on cable CB is
Along the vertical direction:
At point A
Along the horizontal direction:
Here, the force acting on cable AB is
Along the vertical direction:
Here, the force acting on cable AD is
Conclusion:
Substitute
Substitute
Substitute
Thus, the horizontal compressive force that the spreader bar AB exerts on point A is
The force that each cable segment CA and AD exerts on point A is
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