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(5) Determine the slope at A and the vertical displacement at B. Use the method of virtual work. EI is constant. A is a pin and B is a roller 60 kN A 3 m 4 m 4 m

(5) Determine the slope at A and the vertical displacement at B. Use the method of virtual work. EI is constant. A is a pin and B is a roller 60 kN A 3 m 4 m 4 m

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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### Problem Statement (5) Determine the slope at A and the vertical displacement at B. Use the method of virtual work. EI is constant. A is a pin and B is a roller. ### Diagram Explanation The diagram shows a structural element with two supports: - **Support A**: This is a pin support located at the base of the structure. - **Support B**: This is a roller support located 4 meters above the horizontal axis at an inclined position. The structure is subject to an external horizontal force of 60 kN acting at the junction perpendicular to its vertical segment. ### Dimensions - The horizontal distance from the leftmost point to point A is 3 meters. - The vertical length of the member from point A to the exerted force is 4 meters. - The inclined member from the point where the external force is applied to point B is also 4 meters long. The task is to find the slope at point A and the vertical displacement at point B using the concept of virtual work, with the flexural rigidity (EI) considered constant across the structure.
Transcribed Image Text:### Problem Statement (5) Determine the slope at A and the vertical displacement at B. Use the method of virtual work. EI is constant. A is a pin and B is a roller. ### Diagram Explanation The diagram shows a structural element with two supports: - **Support A**: This is a pin support located at the base of the structure. - **Support B**: This is a roller support located 4 meters above the horizontal axis at an inclined position. The structure is subject to an external horizontal force of 60 kN acting at the junction perpendicular to its vertical segment. ### Dimensions - The horizontal distance from the leftmost point to point A is 3 meters. - The vertical length of the member from point A to the exerted force is 4 meters. - The inclined member from the point where the external force is applied to point B is also 4 meters long. The task is to find the slope at point A and the vertical displacement at point B using the concept of virtual work, with the flexural rigidity (EI) considered constant across the structure.
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