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Draw the shear and bending moment diagrams for the beams below. Label all key points. 1. Support A is fixed and C is a free end. A LI 15 k 2 k/ft B 12 ft—12 ft C

Draw the shear and bending moment diagrams for the beams below. Label all key points. 1. Support A is fixed and C is a free end. A LI 15 k 2 k/ft B 12 ft—12 ft C

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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**Beam Shear and Bending Moment Diagram Analysis** **Problem Statement:** Draw the shear and bending moment diagrams for the beams below. Label all key points. 1. **Beam Description:** - Support A is a fixed support, and C is a free end. - The beam spans a total length of 24 feet, divided into two sections: AB and BC, each 12 feet long. - A concentrated load of 15 kips acts downward at point B. - A uniformly distributed load of 2 kips/foot acts from point B to point C. **Diagram Explanation:** - **Fixed Support at A:** This support restricts all movement and rotation of the beam end at A. - **Point Loads and Distribution:** - A concentrated point load of 15 kips is applied at point B, creating a sudden impact on the beam. - A uniform load of 2 kips/foot is applied continuously over the span from B to C. **Key Points to Analyze:** - Reactions at the support A need to be calculated. - Changes in shear force occur at point B due to the concentrated load. - Shear and moment values change linearly with the uniform load across segment BC. Developing shear and moment diagrams will help in understanding the distribution of internal forces along the beam, essential for structural analysis and design.
Transcribed Image Text:**Beam Shear and Bending Moment Diagram Analysis** **Problem Statement:** Draw the shear and bending moment diagrams for the beams below. Label all key points. 1. **Beam Description:** - Support A is a fixed support, and C is a free end. - The beam spans a total length of 24 feet, divided into two sections: AB and BC, each 12 feet long. - A concentrated load of 15 kips acts downward at point B. - A uniformly distributed load of 2 kips/foot acts from point B to point C. **Diagram Explanation:** - **Fixed Support at A:** This support restricts all movement and rotation of the beam end at A. - **Point Loads and Distribution:** - A concentrated point load of 15 kips is applied at point B, creating a sudden impact on the beam. - A uniform load of 2 kips/foot is applied continuously over the span from B to C. **Key Points to Analyze:** - Reactions at the support A need to be calculated. - Changes in shear force occur at point B due to the concentrated load. - Shear and moment values change linearly with the uniform load across segment BC. Developing shear and moment diagrams will help in understanding the distribution of internal forces along the beam, essential for structural analysis and design.
The diagram illustrates a beam supported at two points, A and D. The beam is subject to several forces and moments as described below: - **Support Points:** - Point \( A \) is a fixed support. - Point \( D \) is a roller support. - **Forces and Moments:** - A 20 k (kip) point load is acting downwards at point \( B \). - A moment of 50 k-ft (kip-feet) is applied at point \( B \) in a counterclockwise direction. - A uniformly distributed load of 1.5 k/ft is applied between points \( C \) and \( D \). - **Distances:** - The distance from \( A \) to \( B \) is 10 feet. - The distance from \( B \) to \( C \) is 10 feet. - The distance from \( C \) to \( D \) is 15 feet. This setup is commonly used in structural analysis to determine the reactions at the supports and analyze the internal stresses within the beam.
Transcribed Image Text:The diagram illustrates a beam supported at two points, A and D. The beam is subject to several forces and moments as described below: - **Support Points:** - Point \( A \) is a fixed support. - Point \( D \) is a roller support. - **Forces and Moments:** - A 20 k (kip) point load is acting downwards at point \( B \). - A moment of 50 k-ft (kip-feet) is applied at point \( B \) in a counterclockwise direction. - A uniformly distributed load of 1.5 k/ft is applied between points \( C \) and \( D \). - **Distances:** - The distance from \( A \) to \( B \) is 10 feet. - The distance from \( B \) to \( C \) is 10 feet. - The distance from \( C \) to \( D \) is 15 feet. This setup is commonly used in structural analysis to determine the reactions at the supports and analyze the internal stresses within the beam.
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