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For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment.

For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment.

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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The diagram illustrates a beam supported at two ends, labeled A and B. The beam spans across 9 feet with an evenly distributed load and two concentrated loads. **Description of Elements:** - **Supports:** - Point A: Left-side support which appears to be a pinned support (triangle symbol). - Point B: Right-side support which appears to be a roller support (circle with a roller symbol underneath). - **Loading:** - A uniformly distributed load (UDL) of 4 kips/ft is applied across the entire length of the beam, indicated by several downward arrows spanning from A to B. - Two concentrated loads of 8 kips each are applied downward at points C and D. - **Dimensions:** - The distance from point A to C is 2 feet. - The span between points C and D is 5 feet. - The distance from point D to B is 2 feet. **Figure Label:** - The diagram is labeled as Fig. P7.41. This setup is often examined in the context of structural engineering to understand the effects of different loads on beams, which includes calculating reactions at the supports, bending moments, and shear forces.
Transcribed Image Text:The diagram illustrates a beam supported at two ends, labeled A and B. The beam spans across 9 feet with an evenly distributed load and two concentrated loads. **Description of Elements:** - **Supports:** - Point A: Left-side support which appears to be a pinned support (triangle symbol). - Point B: Right-side support which appears to be a roller support (circle with a roller symbol underneath). - **Loading:** - A uniformly distributed load (UDL) of 4 kips/ft is applied across the entire length of the beam, indicated by several downward arrows spanning from A to B. - Two concentrated loads of 8 kips each are applied downward at points C and D. - **Dimensions:** - The distance from point A to C is 2 feet. - The span between points C and D is 5 feet. - The distance from point D to B is 2 feet. **Figure Label:** - The diagram is labeled as Fig. P7.41. This setup is often examined in the context of structural engineering to understand the effects of different loads on beams, which includes calculating reactions at the supports, bending moments, and shear forces.
**Problem Statement:** For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. **Instruction:** 1. **Diagram Analysis:** - Examine the beam’s support conditions and loading configuration. - Identify points of interest such as supports, load application points, and points of zero shear. 2. **Shear Force Diagram (SFD):** - Start from one end of the beam and calculate shear force using equilibrium equations. - Mark changes in shear force at load application points. - Plot the shear force values along the beam’s length. 3. **Bending Moment Diagram (BMD):** - Calculate bending moments at key points along the beam. - Use relationship between shear force and bending moment: the derivative of bending moment is the shear force. - Plot the bending moment values along the beam’s length. 4. **Determine Maximum Values:** - Identify the maximum absolute values of shear force and bending moment from the diagrams. - Use these values for structural design and analysis purposes. By following these steps, students can analyze the structural response of beams under various loading conditions and ensure safe design practices.
Transcribed Image Text:**Problem Statement:** For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. **Instruction:** 1. **Diagram Analysis:** - Examine the beam’s support conditions and loading configuration. - Identify points of interest such as supports, load application points, and points of zero shear. 2. **Shear Force Diagram (SFD):** - Start from one end of the beam and calculate shear force using equilibrium equations. - Mark changes in shear force at load application points. - Plot the shear force values along the beam’s length. 3. **Bending Moment Diagram (BMD):** - Calculate bending moments at key points along the beam. - Use relationship between shear force and bending moment: the derivative of bending moment is the shear force. - Plot the bending moment values along the beam’s length. 4. **Determine Maximum Values:** - Identify the maximum absolute values of shear force and bending moment from the diagrams. - Use these values for structural design and analysis purposes. By following these steps, students can analyze the structural response of beams under various loading conditions and ensure safe design practices.
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