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Q1 Determine the shear and moment throughout the beam as functions of x. 250 lb X 4 ft 150 lb/ft 6 ft B 4 ft 250 lb

Q1 Determine the shear and moment throughout the beam as functions of x. 250 lb X 4 ft 150 lb/ft 6 ft B 4 ft 250 lb

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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Please solve this problem in detail so a beginner can understand your thought process. Go over every step. Subject is Structural Analysis
### Q1: Determine the Shear and Moment Throughout the Beam as Functions of \( x \). #### Diagram Explanation: This diagram illustrates a beam subjected to various forces. Here's a detailed breakdown: 1. **Beam Configuration**: - This is a simply supported beam resting on two supports labeled \( A \) and \( B \). - The beam is horizontally aligned. 2. **Forces Applied**: - There are two concentrated loads of 250 lb each acting downward on both ends of the beam. - A uniformly distributed load of 150 lb/ft is applied between supports \( A \) and \( B \). 3. **Distances**: - The distance from the left end of the beam to support \( A \) is 4 ft. - The distance between supports \( A \) and \( B \) is 6 ft. - The distance from support \( B \) to the right end of the beam is 4 ft. 4. **Variable \( x \)**: - The variable \( x \) denotes the horizontal distance measured from the left end of the beam, extending to any point along the beam. This setup allows for the determination of shear force and bending moment as a function of the distance \( x \), taking into account the loads applied and the beam's support conditions.
Transcribed Image Text:### Q1: Determine the Shear and Moment Throughout the Beam as Functions of \( x \). #### Diagram Explanation: This diagram illustrates a beam subjected to various forces. Here's a detailed breakdown: 1. **Beam Configuration**: - This is a simply supported beam resting on two supports labeled \( A \) and \( B \). - The beam is horizontally aligned. 2. **Forces Applied**: - There are two concentrated loads of 250 lb each acting downward on both ends of the beam. - A uniformly distributed load of 150 lb/ft is applied between supports \( A \) and \( B \). 3. **Distances**: - The distance from the left end of the beam to support \( A \) is 4 ft. - The distance between supports \( A \) and \( B \) is 6 ft. - The distance from support \( B \) to the right end of the beam is 4 ft. 4. **Variable \( x \)**: - The variable \( x \) denotes the horizontal distance measured from the left end of the beam, extending to any point along the beam. This setup allows for the determination of shear force and bending moment as a function of the distance \( x \), taking into account the loads applied and the beam's support conditions.
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