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Engineering and Tech / Engineering Mechanics Dynamics (1) 1 14 / Chapter 18 / Problem C18-4

Engineering Mechanics Dynamics (1) 1 | 14th Edition | ISBN: 9780133915389 | Authors: Russell C. Hibbeler

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Determine the counterweight of A needed to balance the weight of the bridge deck when u

Chapter 18, Problem C18-4

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QUESTION:

Determine the counterweight of A needed to balance the weight of the bridge deck when \(\theta = 0^{\circ}\). Show that this weight will maintain equilibrium of the deck by considering the potential energy of the system when the deck is in the arbitrary position \(\theta\). Both the deck and AB are horizontal when \(\theta = 0^{\circ}\). Neglect the weights of the other members. Use appropriate numerical values to explain this result.

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QUESTION:

Determine the counterweight of A needed to balance the weight of the bridge deck when \(\theta = 0^{\circ}\). Show that this weight will maintain equilibrium of the deck by considering the potential energy of the system when the deck is in the arbitrary position \(\theta\). Both the deck and AB are horizontal when \(\theta = 0^{\circ}\). Neglect the weights of the other members. Use appropriate numerical values to explain this result.

ANSWER:

Problem C18-4

Determine the counterweight of A needed to balance the weight of the bridge deck when . Show that this weight will maintain equilibrium of the deck by considering the potential energy of the system when the deck is in the arbitrary position . Both the deck and AB are horizontal when . Neglect the weights of the other members. Use appropriate numerical values to explain this result.

Step by Step Solution

Step 1 of 4

First it is convenient to draw a representation of the system in its initial state. We continue to consider torques in rotation about point O.

(1)

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