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6-2. Draw the shear and moment diagrams for the beam, and determine the shear and moment in the beam as functions of x for 0 < x < 4 ft, 4 ft < x < 10 ft, and 10 ft < x < 14 ft. 250 lb 250 lb 150 lb/ft JA B' X- - 4 ft- 6 ft 4 ft

6-2. Draw the shear and moment diagrams for the beam, and determine the shear and moment in the beam as functions of x for 0 < x < 4 ft, 4 ft < x < 10 ft, and 10 ft < x < 14 ft. 250 lb 250 lb 150 lb/ft JA B' X- - 4 ft- 6 ft 4 ft

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 Problem 6-2: Shear and Moment Diagrams for a Beam** **Objective:** Determine the shear and moment diagrams for the given beam. Calculate the shear and moment at specific intervals: \(0 \leq x < 4 \, \text{ft}\), \(4 \, \text{ft} < x < 10 \, \text{ft}\), and \(10 \, \text{ft} < x < 14 \, \text{ft}\). **Beam Diagram Explanation:** 1. **Loads and Supports:** - Two point loads of 250 lb each are applied at both ends of the beam. - A uniform distributed load of 150 lb/ft is applied along a 6 ft segment in the middle of the beam. - The beam has two supports: - Support A is at 4 ft from the left end. - Support B is at 10 ft from the left end. 2. **Dimensions:** - The beam is divided into three segments based on its supports and loading: - 0 to 4 ft - 4 ft to 10 ft - 10 ft to 14 ft **Instructions:** - Perform static equilibrium analysis to determine reaction forces at the supports. - Draw shear force diagram by calculating changes due to point loads and the distributed load. - Draw bending moment diagram by integrating the shear force diagram across the beam length. This example helps in understanding how loads influence the internal shear forces and bending moments within a structural beam, which is crucial in structural engineering design.
Transcribed Image Text:**Example Problem 6-2: Shear and Moment Diagrams for a Beam** **Objective:** Determine the shear and moment diagrams for the given beam. Calculate the shear and moment at specific intervals: \(0 \leq x < 4 \, \text{ft}\), \(4 \, \text{ft} < x < 10 \, \text{ft}\), and \(10 \, \text{ft} < x < 14 \, \text{ft}\). **Beam Diagram Explanation:** 1. **Loads and Supports:** - Two point loads of 250 lb each are applied at both ends of the beam. - A uniform distributed load of 150 lb/ft is applied along a 6 ft segment in the middle of the beam. - The beam has two supports: - Support A is at 4 ft from the left end. - Support B is at 10 ft from the left end. 2. **Dimensions:** - The beam is divided into three segments based on its supports and loading: - 0 to 4 ft - 4 ft to 10 ft - 10 ft to 14 ft **Instructions:** - Perform static equilibrium analysis to determine reaction forces at the supports. - Draw shear force diagram by calculating changes due to point loads and the distributed load. - Draw bending moment diagram by integrating the shear force diagram across the beam length. This example helps in understanding how loads influence the internal shear forces and bending moments within a structural beam, which is crucial in structural engineering design.
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