2. Problem No. 2: The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its center. The platform is normally held in position by hinges at A and B and by braces CE and DE. For this problem, assume that the brace DE is removed. a) Draw the free body diagram for the platform ABDC. How many unknowns are there in total? How many equations of equilibrium do you have? Is this problem statically determinate? Is the platform stable? b) Assume that the hinge at A does not exert any axial thrust (There is no reaction force in z direction at the hinge A). Determine the reactions at the hinges and the force exerted by the brace CE. N 2 ft B 3 ft. 4 ft E 300 lb X =======

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter10: Virtual Work And Potential Energy
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Problem 10.46P: The uniform bar AB of weight W and length L is pinned to a sliding collar at A and to the sliding...
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2. Problem No. 2: The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its
center. The platform is normally held in position by hinges at A and B and by braces CE and DE.
For this problem, assume that the brace DE is removed.
a) Draw the free body diagram for the platform ABDC. How many unknowns are there in
total? How many equations of equilibrium do you have? Is this problem statically
determinate? Is the platform stable?
b) Assume that the hinge at A does not exert any axial thrust (There is no reaction force in z
direction at the hinge A). Determine the reactions at the hinges and the force exerted by
the brace CE.
N
2 ft
B
3 ft.
4 ft
E
300 lb
X
=======
Transcribed Image Text:2. Problem No. 2: The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its center. The platform is normally held in position by hinges at A and B and by braces CE and DE. For this problem, assume that the brace DE is removed. a) Draw the free body diagram for the platform ABDC. How many unknowns are there in total? How many equations of equilibrium do you have? Is this problem statically determinate? Is the platform stable? b) Assume that the hinge at A does not exert any axial thrust (There is no reaction force in z direction at the hinge A). Determine the reactions at the hinges and the force exerted by the brace CE. N 2 ft B 3 ft. 4 ft E 300 lb X =======
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