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Draw the shear and moment diagrams for the beam. 20 kip 20 kip 4 kip/ft A B -15 ft- 30 ft 15 ft-

Draw the shear and moment diagrams for the beam. 20 kip 20 kip 4 kip/ft A B -15 ft- 30 ft 15 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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### Shear and Moment Diagram Analysis for the Beam **Diagram Overview:** The provided image illustrates a simply supported beam with external loads applied. The diagram is designed to help understand the distribution of shear forces and bending moments along the length of the beam. **Components:** 1. **Beam Length and Supports:** - The total length of the beam is 60 ft. - The beam is supported at two points: - Point A: A roller support located 15 ft from the left end. - Point B: A pin support located 45 ft from the left end (or 15 ft from the right end). 2. **Loads Applied:** - Two vertical point loads of 20 kip each are applied at both ends of the beam. - A uniformly distributed load (UDL) of 4 kip/ft is applied over the central 30 ft section of the beam (between the supports A and B). **Purpose:** The objective is to draw the shear force and bending moment diagrams for this beam setup. These diagrams graphically represent how internal shear forces and bending moments vary along the length of the beam due to the applied loads and support conditions. ### Instructions to Draw the Diagrams: 1. **Shear Force Diagram (SFD):** - Start from the left end. - Account for the contribution of each load as you move across the beam. - Note abrupt changes at points where point loads are applied and gradual changes under distributed loads. - Return to zero shear at the right end. 2. **Bending Moment Diagram (BMD):** - Derive from the SFD by integrating shear along the beam. - Start and end at zero bending moment if the beam is simply supported. - Identify maximum and minimum moment values which typically occur at points of zero shear. This analysis is crucial for ensuring that the beam design can safely bear the applied loads without failure.
Transcribed Image Text:### Shear and Moment Diagram Analysis for the Beam **Diagram Overview:** The provided image illustrates a simply supported beam with external loads applied. The diagram is designed to help understand the distribution of shear forces and bending moments along the length of the beam. **Components:** 1. **Beam Length and Supports:** - The total length of the beam is 60 ft. - The beam is supported at two points: - Point A: A roller support located 15 ft from the left end. - Point B: A pin support located 45 ft from the left end (or 15 ft from the right end). 2. **Loads Applied:** - Two vertical point loads of 20 kip each are applied at both ends of the beam. - A uniformly distributed load (UDL) of 4 kip/ft is applied over the central 30 ft section of the beam (between the supports A and B). **Purpose:** The objective is to draw the shear force and bending moment diagrams for this beam setup. These diagrams graphically represent how internal shear forces and bending moments vary along the length of the beam due to the applied loads and support conditions. ### Instructions to Draw the Diagrams: 1. **Shear Force Diagram (SFD):** - Start from the left end. - Account for the contribution of each load as you move across the beam. - Note abrupt changes at points where point loads are applied and gradual changes under distributed loads. - Return to zero shear at the right end. 2. **Bending Moment Diagram (BMD):** - Derive from the SFD by integrating shear along the beam. - Start and end at zero bending moment if the beam is simply supported. - Identify maximum and minimum moment values which typically occur at points of zero shear. This analysis is crucial for ensuring that the beam design can safely bear the applied loads without failure.
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