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What is the maximum absolute shear in the following beam? Use L = 21, a = 2, b = 4, P₁ =1, P₂ = 4, and P3 = 2. Give the answer to two decimal places. P₁ P₂ L a b P3

What is the maximum absolute shear in the following beam? Use L = 21, a = 2, b = 4, P₁ =1, P₂ = 4, and P3 = 2. Give the answer to two decimal places. P₁ P₂ L 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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**Beam Shear Problem** **Problem Statement:** What is the maximum absolute shear in the following beam? Use the following parameters: - \( L = 21 \) - \( a = 2 \) - \( b = 4 \) - \( P_1 = 1 \) - \( P_2 = 4 \) - \( P_3 = 2 \) Give the answer to two decimal places. **Diagram Explanation:** The diagram presents a beam supported at both ends. The beam is subjected to three vertical downward forces labeled as \( P_1 \), \( P_2 \), and \( P_3 \). These forces are applied at specific points along the beam: - \( P_1 \) is applied at a distance \( a \) from the left support. - \( P_2 \) is applied at a distance \( a + b \) from the left support. - \( P_3 \) is applied further along the beam. The total length of the beam is \( L \). The diagram on the right side specifically illustrates the distance between the forces: - \( P_1 \) is separated by a distance \( a \) from \( P_2 \). - \( P_2 \) is separated by a distance \( b \) from \( P_3 \). The beam configuration acts as a classic problem in structural engineering for determining the maximum shear force experienced within the beam structure.
Transcribed Image Text:**Beam Shear Problem** **Problem Statement:** What is the maximum absolute shear in the following beam? Use the following parameters: - \( L = 21 \) - \( a = 2 \) - \( b = 4 \) - \( P_1 = 1 \) - \( P_2 = 4 \) - \( P_3 = 2 \) Give the answer to two decimal places. **Diagram Explanation:** The diagram presents a beam supported at both ends. The beam is subjected to three vertical downward forces labeled as \( P_1 \), \( P_2 \), and \( P_3 \). These forces are applied at specific points along the beam: - \( P_1 \) is applied at a distance \( a \) from the left support. - \( P_2 \) is applied at a distance \( a + b \) from the left support. - \( P_3 \) is applied further along the beam. The total length of the beam is \( L \). The diagram on the right side specifically illustrates the distance between the forces: - \( P_1 \) is separated by a distance \( a \) from \( P_2 \). - \( P_2 \) is separated by a distance \( b \) from \( P_3 \). The beam configuration acts as a classic problem in structural engineering for determining the maximum shear force experienced within the beam structure.
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