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A two-dimensional beam structure or frame (ABCD, shown below) has a concentrated load, P, acting on Point D. You can assume that the connections at B and C have sufficient strength to react the applied load and that loads and moments are transferred between the beams. You can assume that the members have a constant cross-section and that El-constant. B A L -2m- C P-3kN D 2m In order to evaluate the design you must: (a) Sketch the deformed shape of the frame, solve the reaction forces and construct the bending moment diagram for the frame. (b) Use any method to determine the vertical deflection at Point D. Ensure that you clearly explain your approach and show your final answer. Clearly state any assumptions made. (c) If the bending rigidity, El, of the frame between Point B and Point C was doubled. What effect would this have on the resulting horizontal deflection at point D. Ensure that your answer is supported by suitable reasoning, calculations and/or sketches.

A two-dimensional beam structure or frame (ABCD, shown below) has a concentrated load, P, acting on Point D. You can assume that the connections at B and C have sufficient strength to react the applied load and that loads and moments are transferred between the beams. You can assume that the members have a constant cross-section and that El-constant. B A L -2m- C P-3kN D 2m In order to evaluate the design you must: (a) Sketch the deformed shape of the frame, solve the reaction forces and construct the bending moment diagram for the frame. (b) Use any method to determine the vertical deflection at Point D. Ensure that you clearly explain your approach and show your final answer. Clearly state any assumptions made. (c) If the bending rigidity, El, of the frame between Point B and Point C was doubled. What effect would this have on the resulting horizontal deflection at point D. Ensure that your answer is supported by suitable reasoning, calculations and/or sketches.

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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A two-dimensional beam structure or frame (ABCD, shown below) has a concentrated load, P, acting on Point D. You can assume that the connections at B and C have sufficient strength to react the applied load and that loads and moments are transferred between the beams. You can assume that the members have a constant cross-section and that El-constant. B A 2m y L. C P-3kN D 2m In order to evaluate the design you must: (a) Sketch the deformed shape of the frame, solve the reaction forces and construct the bending moment diagram for the frame. (b) Use any method to determine the vertical deflection at Point D. Ensure that you clearly explain your approach and show your final answer. Clearly state any assumptions made. (c) If the bending rigidity, El, of the frame between Point B and Point C was doubled. What effect would this have on the resulting horizontal deflection at point D. Ensure that your answer is supported by suitable reasoning, calculations and/or sketches.
Transcribed Image Text:A two-dimensional beam structure or frame (ABCD, shown below) has a concentrated load, P, acting on Point D. You can assume that the connections at B and C have sufficient strength to react the applied load and that loads and moments are transferred between the beams. You can assume that the members have a constant cross-section and that El-constant. B A 2m y L. C P-3kN D 2m In order to evaluate the design you must: (a) Sketch the deformed shape of the frame, solve the reaction forces and construct the bending moment diagram for the frame. (b) Use any method to determine the vertical deflection at Point D. Ensure that you clearly explain your approach and show your final answer. Clearly state any assumptions made. (c) If the bending rigidity, El, of the frame between Point B and Point C was doubled. What effect would this have on the resulting horizontal deflection at point D. Ensure that your answer is supported by suitable reasoning, calculations and/or sketches.
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