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Problem 7: Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at A. 4 kN/m 2 kN/m A 3 m -3 m

Problem 7: Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at A. 4 kN/m 2 kN/m A 3 m -3 m

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 7**: Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at \( A \). **Diagram Explanation**: The diagram shows a simply supported beam \( AB \) resting on two supports. The beam spans a total length of 6 meters, divided into two equal sections of 3 meters each. - On the left, at point \( A \), there is a pin support embedded in a brick-like structure. - On the right, at point \( B \), there's a roller support on another brick-like structure. **Loading Details**: - The beam is subjected to a triangular distributed load. - The load intensity starts at \( 2 \, \text{kN/m} \) at the pin support \( A \) and increases linearly to \( 4 \, \text{kN/m} \) at the roller support \( B \). The task is to replace this distributed loading with a single resultant force and find its location along the beam.
Transcribed Image Text:**Problem 7**: Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at \( A \). **Diagram Explanation**: The diagram shows a simply supported beam \( AB \) resting on two supports. The beam spans a total length of 6 meters, divided into two equal sections of 3 meters each. - On the left, at point \( A \), there is a pin support embedded in a brick-like structure. - On the right, at point \( B \), there's a roller support on another brick-like structure. **Loading Details**: - The beam is subjected to a triangular distributed load. - The load intensity starts at \( 2 \, \text{kN/m} \) at the pin support \( A \) and increases linearly to \( 4 \, \text{kN/m} \) at the roller support \( B \). The task is to replace this distributed loading with a single resultant force and find its location along the beam.
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