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PROBUEM 4. 一→ SOKN Im 2.75 6.5 6.5 FIND: RA RB

PROBUEM 4. 一→ SOKN Im 2.75 6.5 6.5 FIND: RA RB

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:** A beam is supported at two points, A and B. The total length of the beam is divided into three segments. From point A to the first segment, the length is 2.75 meters. The next segment is 6.5 meters, and the final segment is also 6.5 meters leading to point B. **Loads on the Beam:** 1. **Point Load:** 115 kN acting downward at the junction between the first and second segments. 2. **Distributed Load:** A rectangle with a uniform distributed load of 50 kN/m over the 6.5-meter second segment. 3. **Triangular Distributed Load:** Over the last 6.5-meter segment, increasing linearly from zero at the junction with the second segment to 150 kN/m at point B. **Supports:** - Support A is a pin support. - Support B is a roller support. **Objective:** - Calculate the reactions at supports A (RA) and B (RB). This setup demonstrates a typical analysis problem in structural engineering courses, where understanding the distribution of forces and how they are counteracted by supports is crucial for ensuring stability.
Transcribed Image Text:**Problem 4:** A beam is supported at two points, A and B. The total length of the beam is divided into three segments. From point A to the first segment, the length is 2.75 meters. The next segment is 6.5 meters, and the final segment is also 6.5 meters leading to point B. **Loads on the Beam:** 1. **Point Load:** 115 kN acting downward at the junction between the first and second segments. 2. **Distributed Load:** A rectangle with a uniform distributed load of 50 kN/m over the 6.5-meter second segment. 3. **Triangular Distributed Load:** Over the last 6.5-meter segment, increasing linearly from zero at the junction with the second segment to 150 kN/m at point B. **Supports:** - Support A is a pin support. - Support B is a roller support. **Objective:** - Calculate the reactions at supports A (RA) and B (RB). This setup demonstrates a typical analysis problem in structural engineering courses, where understanding the distribution of forces and how they are counteracted by supports is crucial for ensuring stability.
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