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1. Draw the shear and moment diagrams for the compound beam. 2m 5 kN/m -1 m D

1. Draw the shear and moment diagrams for the compound beam. 2m 5 kN/m -1 m D

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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Draw the shear and moment diagrams for the compound beam

**Problem Statement:** 1. Draw the shear and moment diagrams for the compound beam. **Diagram Description:** The diagram shows a horizontally laid compound beam with the following details: - The beam is supported at two ends with fixed supports depicted at points A and D. - There is a uniformly distributed load (UDL) of 5 kN/m acting vertically downward along the section from A to B. - The total length of the beam from A to D is 4 meters. - From A to B, the length is 2 meters. - From B to C, the length is 1 meter. - From C to D, the length is 1 meter. - There is a hinge support at point B and a roller support under the beam right between points B and C. **Explanation for Shear and Moment Diagrams:** - **Shear Diagram:** Illustrates how the external shear force varies along the length of the beam. It is crucial to consider the uniform load and supports which will influence the diagram. - **Moment Diagram:** Represents the bending moment at different points along the beam. This will be determined by the interaction of the loads and the reactions at supports. To solve this problem and draw the diagrams, you'll need to apply the principles of static equilibrium to determine the reactions at the supports and then compute the shear forces and bending moments at critical points along the beam.
Transcribed Image Text:**Problem Statement:** 1. Draw the shear and moment diagrams for the compound beam. **Diagram Description:** The diagram shows a horizontally laid compound beam with the following details: - The beam is supported at two ends with fixed supports depicted at points A and D. - There is a uniformly distributed load (UDL) of 5 kN/m acting vertically downward along the section from A to B. - The total length of the beam from A to D is 4 meters. - From A to B, the length is 2 meters. - From B to C, the length is 1 meter. - From C to D, the length is 1 meter. - There is a hinge support at point B and a roller support under the beam right between points B and C. **Explanation for Shear and Moment Diagrams:** - **Shear Diagram:** Illustrates how the external shear force varies along the length of the beam. It is crucial to consider the uniform load and supports which will influence the diagram. - **Moment Diagram:** Represents the bending moment at different points along the beam. This will be determined by the interaction of the loads and the reactions at supports. To solve this problem and draw the diagrams, you'll need to apply the principles of static equilibrium to determine the reactions at the supports and then compute the shear forces and bending moments at critical points along the beam.
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