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Determine the reactions at A and B if EI is constant.

Determine the reactions at A and B if EI is constant.

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 Statement:** Determine the reactions at A and B if EI is constant. **Diagram Explanation:** The diagram depicts a horizontal beam AB, which is supported at two points: A and B. The beam is subject to a uniformly distributed load represented by arrows pointing downwards. The intensity of this load is denoted as \( w \). - **Point A:** Represents a support on the left side of the beam. It appears to be a pinned support allowing rotation but preventing translation. - **Point B:** Represents a support on the right side of the beam. It appears to be a roller support, which allows horizontal movement but prevents vertical movement. - **Uniform Load:** The load is uniformly distributed over the span \( C \), which is the middle section of the beam. - The total length of the beam is \( L \), divided into two equal sections: \( L/2 \). The goal is to find the reactions at supports A and B assuming the product of the modulus of elasticity (E) and the moment of inertia (I), known as EI, is constant.
Transcribed Image Text:**Problem Statement:** Determine the reactions at A and B if EI is constant. **Diagram Explanation:** The diagram depicts a horizontal beam AB, which is supported at two points: A and B. The beam is subject to a uniformly distributed load represented by arrows pointing downwards. The intensity of this load is denoted as \( w \). - **Point A:** Represents a support on the left side of the beam. It appears to be a pinned support allowing rotation but preventing translation. - **Point B:** Represents a support on the right side of the beam. It appears to be a roller support, which allows horizontal movement but prevents vertical movement. - **Uniform Load:** The load is uniformly distributed over the span \( C \), which is the middle section of the beam. - The total length of the beam is \( L \), divided into two equal sections: \( L/2 \). The goal is to find the reactions at supports A and B assuming the product of the modulus of elasticity (E) and the moment of inertia (I), known as EI, is constant.
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