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What is the maximum moment at midspan in the following beam? Use L = 20, a = 4, b = 2, P1 = 4, P2 = 2, and P3 = 5. Give the answer to two decimal places. P1 P2 L b а

What is the maximum moment at midspan in the following beam? Use L = 20, a = 4, b = 2, P1 = 4, P2 = 2, and P3 = 5. Give the answer to two decimal places. P1 P2 L b а

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:** What is the maximum moment at midspan in the following beam? Use \(L = 20\), \(a = 4\), \(b = 2\), \(P_1 = 4\), \(P_2 = 2\), and \(P_3 = 5\). Give the answer to two decimal places. **Diagram Explanation:** The diagram shows a beam that is supported at both ends. The left support is a triangular symbol indicating a pin support, and the right support is a roller. There is a horizontal beam represented in green color. - The beam has a total span length of \(L = 20\). - Three vertical downward forces are applied on the beam, labeled as \(P_1\), \(P_2\), and \(P_3\). They are depicted as red arrows acting downwards. **Distances and Forces:** - \(P_1\) is acting at a distance \(a = 4\) from the left support. - \(P_2\) is positioned at a further \(b = 2\) from \(P_1\). - \(P_3\) is at an unspecified position but acts along the beam. **Given Forces:** - \(P_1 = 4\) - \(P_2 = 2\) - \(P_3 = 5\) The question requires calculating the maximum moment at the beam’s midspan using the provided values. The answer should be presented to two decimal places.
Transcribed Image Text:**Problem Statement:** What is the maximum moment at midspan in the following beam? Use \(L = 20\), \(a = 4\), \(b = 2\), \(P_1 = 4\), \(P_2 = 2\), and \(P_3 = 5\). Give the answer to two decimal places. **Diagram Explanation:** The diagram shows a beam that is supported at both ends. The left support is a triangular symbol indicating a pin support, and the right support is a roller. There is a horizontal beam represented in green color. - The beam has a total span length of \(L = 20\). - Three vertical downward forces are applied on the beam, labeled as \(P_1\), \(P_2\), and \(P_3\). They are depicted as red arrows acting downwards. **Distances and Forces:** - \(P_1\) is acting at a distance \(a = 4\) from the left support. - \(P_2\) is positioned at a further \(b = 2\) from \(P_1\). - \(P_3\) is at an unspecified position but acts along the beam. **Given Forces:** - \(P_1 = 4\) - \(P_2 = 2\) - \(P_3 = 5\) The question requires calculating the maximum moment at the beam’s midspan using the provided values. The answer should be presented to two decimal places.
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