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Shown below are 4 different rigid bodies, supported in different ways. For each of the rigid bodies, with proper free body diagrams, please determine all the support reactions. Value of the applied forces is F = 100 N, P = 200 N and L = 3 m. a. In figure a, support is a pin at A and a roller at D. Pin at A resists translation in the horizontal and vertical direction, and roller at D only resists translation in the vertical direction. b. In figure b, support at A is a pin (treat it similar to part a of the problem), and support at D is a roller on an incline: note that here, the roller support reaction will be normal to the incline. c. In figure c, support at A is a roller, and support at D prevents translation in the horizontal direction, and also prevents rotation. So, there will be two support reactions at D. Think of what they may be? d. In figure d, support at A is a cantilevered end. |P Vc B 30° (a) (b) |F VB (c) (d) 1/3 N/3

Shown below are 4 different rigid bodies, supported in different ways. For each of the rigid bodies, with proper free body diagrams, please determine all the support reactions. Value of the applied forces is F = 100 N, P = 200 N and L = 3 m. a. In figure a, support is a pin at A and a roller at D. Pin at A resists translation in the horizontal and vertical direction, and roller at D only resists translation in the vertical direction. b. In figure b, support at A is a pin (treat it similar to part a of the problem), and support at D is a roller on an incline: note that here, the roller support reaction will be normal to the incline. c. In figure c, support at A is a roller, and support at D prevents translation in the horizontal direction, and also prevents rotation. So, there will be two support reactions at D. Think of what they may be? d. In figure d, support at A is a cantilevered end. |P Vc B 30° (a) (b) |F VB (c) (d) 1/3 N/3

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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Shown below are 4 different rigid bodies, supported in different ways. For each of the rigid bodies, with proper free body diagrams, please determine all the support reactions. Value of the applied forces is F = 100 N, P = 200 N and L = 3 m. a. In figure a, support is a pin at A and a roller at D. Pin at A resists translation in the horizontal and vertical direction, and roller at D only resists translation in the vertical direction. b. In figure b, support at A is a pin it similar to part a of the problem), and support at D is a roller on an incline: note that here, the roller support reaction will be normal to the incline. c. In figure c, support at A is a roller, and support at D prevents translation in the horizontal direction, and also prevents rotation. So, there will be two support reactions at D. Think of what they may be? d. In figure d, support at A is a cantilevered end. B 30° (a) (b) |F | F |P (c) (d) /3
Transcribed Image Text:Shown below are 4 different rigid bodies, supported in different ways. For each of the rigid bodies, with proper free body diagrams, please determine all the support reactions. Value of the applied forces is F = 100 N, P = 200 N and L = 3 m. a. In figure a, support is a pin at A and a roller at D. Pin at A resists translation in the horizontal and vertical direction, and roller at D only resists translation in the vertical direction. b. In figure b, support at A is a pin it similar to part a of the problem), and support at D is a roller on an incline: note that here, the roller support reaction will be normal to the incline. c. In figure c, support at A is a roller, and support at D prevents translation in the horizontal direction, and also prevents rotation. So, there will be two support reactions at D. Think of what they may be? d. In figure d, support at A is a cantilevered end. B 30° (a) (b) |F | F |P (c) (d) /3
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