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An old single-leaf drawbridge is made of a thin rectangular board of mass M, width a (into the page) and length b- which can pivot at one end. When it is not in use, the span of the bridge is held at a 60° angle from the horizontal direction. The two ideal cables that hold it at its farther end are anchored to the ground so that they form a 30° angle with the horizontal direction, as shown in Fig. 3. The acceleration due to gravity has magnitude g

An old single-leaf drawbridge is made of a thin rectangular board of mass M, width a (into the page) and length b- which can pivot at one end. When it is not in use, the span of the bridge is held at a 60° angle from the horizontal direction. The two ideal cables that hold it at its farther end are anchored to the ground so that they form a 30° angle with the horizontal direction, as shown in Fig. 3. The acceleration due to gravity has magnitude g

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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An old single-leaf drawbridge is made of a thin rectangular board of mass M, width a (into the page) and length b which can pivot at one end. When it is not in use, the span of the bridge is held at a 60° angle from the horizontal direction. board cables 60° 30° The two ideal cables that hold it at its farther end are anchored to the ground so that they form a 30° angle with the horizontal direction, as shown in Fig. 3. The acceleration hinge canal due to gravity has magnitude g. Figure 3 a- Draw the free body diagram of the rectangular board. Each force should be properly labeled and represented where it applies. b- Set up all the detailed scalar equations (not the general version) expressing the static equilibrium of the drawbridge.
Transcribed Image Text:An old single-leaf drawbridge is made of a thin rectangular board of mass M, width a (into the page) and length b which can pivot at one end. When it is not in use, the span of the bridge is held at a 60° angle from the horizontal direction. board cables 60° 30° The two ideal cables that hold it at its farther end are anchored to the ground so that they form a 30° angle with the horizontal direction, as shown in Fig. 3. The acceleration hinge canal due to gravity has magnitude g. Figure 3 a- Draw the free body diagram of the rectangular board. Each force should be properly labeled and represented where it applies. b- Set up all the detailed scalar equations (not the general version) expressing the static equilibrium of the drawbridge.
c- Determine the magnitude T of the tension force exerted by each of the two cables on the board. d- Determine the magnitude Fr of the hinge force exerted on the board and the angle On that the force forms with respect to the horizontal direction.
Transcribed Image Text:c- Determine the magnitude T of the tension force exerted by each of the two cables on the board. d- Determine the magnitude Fr of the hinge force exerted on the board and the angle On that the force forms with respect to the horizontal direction.
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