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What is the maximum absolute shear for the following beam and load group? Use L = 20, a = 3, b = 3, P₁ = 3, P₂ = 3, and P3 = 1. P₁ L P₂ a b P3

What is the maximum absolute shear for the following beam and load group? Use L = 20, a = 3, b = 3, P₁ = 3, P₂ = 3, and P3 = 1. P₁ L P₂ a b P3

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 **Question:** What is the maximum absolute shear for the following beam and load group? **Given Values:** - \( L = 20 \) - \( a = 3 \) - \( b = 3 \) - \( P_1 = 3 \) - \( P_2 = 3 \) - \( P_3 = 1 \) ### Diagram Explanation The diagram depicts a beam that is fixed at the right end. The beam has a total length \( L \). There are three point loads acting on the beam: \( P_1 \), \( P_2 \), and \( P_3 \). These loads are applied downwards. - **Beam Layout:** - The beam's left side is unsupported, and the right side is fixed. - The total length (\( L \)) is divided into sections marked by distances \( a \) and \( b \), starting from the left end where the loads are applied. - **Load Placement:** - \( P_1 \) is applied at a distance \( a \) from the left end. - \( P_2 \) is applied at a distance \( b \) from \( P_1 \). - \( P_3 \) is applied further along the beam. - **Point Loads:** - \( P_1 = 3 \) - \( P_2 = 3 \) - \( P_3 = 1 \) This setup is used to determine the maximum absolute shear experienced by the beam.
Transcribed Image Text:### Problem Statement **Question:** What is the maximum absolute shear for the following beam and load group? **Given Values:** - \( L = 20 \) - \( a = 3 \) - \( b = 3 \) - \( P_1 = 3 \) - \( P_2 = 3 \) - \( P_3 = 1 \) ### Diagram Explanation The diagram depicts a beam that is fixed at the right end. The beam has a total length \( L \). There are three point loads acting on the beam: \( P_1 \), \( P_2 \), and \( P_3 \). These loads are applied downwards. - **Beam Layout:** - The beam's left side is unsupported, and the right side is fixed. - The total length (\( L \)) is divided into sections marked by distances \( a \) and \( b \), starting from the left end where the loads are applied. - **Load Placement:** - \( P_1 \) is applied at a distance \( a \) from the left end. - \( P_2 \) is applied at a distance \( b \) from \( P_1 \). - \( P_3 \) is applied further along the beam. - **Point Loads:** - \( P_1 = 3 \) - \( P_2 = 3 \) - \( P_3 = 1 \) This setup is used to determine the maximum absolute shear experienced by the beam.
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