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Draw shear force and Bending moment diagram for the following beam: | 20KN |20KN 10KN/n

Draw shear force and Bending moment diagram for the following beam: | 20KN |20KN 10KN/n

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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### Example of Shear Force and Bending Moment Diagram for a Beam #### Given Problem: Draw the shear force and bending moment diagram for the following beam: #### Description of Beam: - The beam is horizontally supported with a fixed support at the left end. - The beam is divided into four equal segments, each 2 meters long, as shown in the image. #### Loading Conditions: 1. A point load of 20 kN is applied downward at 2 meters from the left support. 2. A uniformly distributed load (UDL) of 10 kN/m is applied over the 2 meters segment, 4 meters from the left support. 3. Another point load of 20 kN is applied downward at the right end of the beam, 8 meters from the left support. #### Graphical Analysis: 1. **Shear Force Diagram (SFD):** - The shear force diagram would be drawn by calculating shear forces at different segments of the beam. - Start from the left support, and add or subtract the forces as you move from left to right. 2. **Bending Moment Diagram (BMD):** - The bending moment diagram would be plotted by calculating moments at various points along the length of the beam. - The bending moment at the fixed support is usually maximum. - Moments are calculated by taking the sum of moments around a point on the beam. This is an illustrative example used for educational purposes. Detailed calculations, including equilibrium equations, would be necessary for the complete construction of the shear force and bending moment diagrams.
Transcribed Image Text:### Example of Shear Force and Bending Moment Diagram for a Beam #### Given Problem: Draw the shear force and bending moment diagram for the following beam: #### Description of Beam: - The beam is horizontally supported with a fixed support at the left end. - The beam is divided into four equal segments, each 2 meters long, as shown in the image. #### Loading Conditions: 1. A point load of 20 kN is applied downward at 2 meters from the left support. 2. A uniformly distributed load (UDL) of 10 kN/m is applied over the 2 meters segment, 4 meters from the left support. 3. Another point load of 20 kN is applied downward at the right end of the beam, 8 meters from the left support. #### Graphical Analysis: 1. **Shear Force Diagram (SFD):** - The shear force diagram would be drawn by calculating shear forces at different segments of the beam. - Start from the left support, and add or subtract the forces as you move from left to right. 2. **Bending Moment Diagram (BMD):** - The bending moment diagram would be plotted by calculating moments at various points along the length of the beam. - The bending moment at the fixed support is usually maximum. - Moments are calculated by taking the sum of moments around a point on the beam. This is an illustrative example used for educational purposes. Detailed calculations, including equilibrium equations, would be necessary for the complete construction of the shear force and bending moment diagrams.
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