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2335 N/m 3.66 m Figure P4.28 4.28 The homogeneous beam AB weighing 3560 N carries the distributed load shown. Find the support reactions at A and B.

2335 N/m 3.66 m Figure P4.28 4.28 The homogeneous beam AB weighing 3560 N carries the distributed load shown. Find the support reactions at A and B.

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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### Problem 4.28 **Description:** A homogeneous beam \( AB \) weighing 3560 N is shown in the diagram. The beam carries a triangular distributed load. The diagram indicates that the distributed load increases linearly from 0 N/m at point \( A \) to 2335 N/m at point \( B \), over a length of 3.66 meters. The beam is supported at points \( A \) and \( B \). **Objective:** The task is to find the reactions at the support points \( A \) and \( B \). **Diagram Explanation:** - The diagram shows a beam positioned horizontally along the x-axis with the left end at point \( A \) and the right end at point \( B \). - The distributed load is represented by a series of arrows forming a triangular shape above the beam. The height of the arrows increases from left to right, indicating the load increases linearly from point \( A \) to point \( B \). - The maximum load of 2335 N/m is indicated at point \( B \). - The length between points \( A \) and \( B \) is labeled as 3.66 meters. **Objective Clarification:** - Calculate the vertical and horizontal reactions at each support \( A \) and \( B \), considering both the weight of the beam and the distributed load.
Transcribed Image Text:### Problem 4.28 **Description:** A homogeneous beam \( AB \) weighing 3560 N is shown in the diagram. The beam carries a triangular distributed load. The diagram indicates that the distributed load increases linearly from 0 N/m at point \( A \) to 2335 N/m at point \( B \), over a length of 3.66 meters. The beam is supported at points \( A \) and \( B \). **Objective:** The task is to find the reactions at the support points \( A \) and \( B \). **Diagram Explanation:** - The diagram shows a beam positioned horizontally along the x-axis with the left end at point \( A \) and the right end at point \( B \). - The distributed load is represented by a series of arrows forming a triangular shape above the beam. The height of the arrows increases from left to right, indicating the load increases linearly from point \( A \) to point \( B \). - The maximum load of 2335 N/m is indicated at point \( B \). - The length between points \( A \) and \( B \) is labeled as 3.66 meters. **Objective Clarification:** - Calculate the vertical and horizontal reactions at each support \( A \) and \( B \), considering both the weight of the beam and the distributed load.
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