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7-5. Determine the equations of the elastic curve using the coordinates X1 and x3 and specify the slope and deflection at point B. El is constant. Probs. 7-4/5 2 k/ft A В 8 ft 12 ft

7-5. Determine the equations of the elastic curve using the coordinates X1 and x3 and specify the slope and deflection at point B. El is constant. Probs. 7-4/5 2 k/ft A В 8 ft 12 ft

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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7–5. Determine the equations of the elastic curve using the coordinates
x1 and x3 and specify the slope and deflection at point B. EI is constant.

**Problem Statement:** 7–5. Determine the equations of the elastic curve using the coordinates \(x_1\) and \(x_3\) and specify the slope and deflection at point B. \(EI\) is constant. **Figure Description:** The diagram shows a horizontal beam \(AB\) subjected to a uniformly distributed load of \(2 \, \text{k/ft}\) over its entire span. The beam is supported at point \(A\) on the left and is free on the right at point \(B\). - The total length of the beam \(AB\) is \(20 \, \text{ft}\). - The beam is divided into segments, with the first segment \(AC\) being \(12 \, \text{ft}\) long. - The distance between point \(A\) and point \(C\) is labeled \(x_1\). - The next segment \(CB\) measures \(8 \, \text{ft}\). - Distance subdivided from point \(C\) to \(B\) is labeled \(x_3\). The task is to derive equations for the elastic curve of the beam and calculate the slope and deflection at the free end \(B\), considering the modulus of elasticity \(EI\) as constant throughout the beam.
Transcribed Image Text:**Problem Statement:** 7–5. Determine the equations of the elastic curve using the coordinates \(x_1\) and \(x_3\) and specify the slope and deflection at point B. \(EI\) is constant. **Figure Description:** The diagram shows a horizontal beam \(AB\) subjected to a uniformly distributed load of \(2 \, \text{k/ft}\) over its entire span. The beam is supported at point \(A\) on the left and is free on the right at point \(B\). - The total length of the beam \(AB\) is \(20 \, \text{ft}\). - The beam is divided into segments, with the first segment \(AC\) being \(12 \, \text{ft}\) long. - The distance between point \(A\) and point \(C\) is labeled \(x_1\). - The next segment \(CB\) measures \(8 \, \text{ft}\). - Distance subdivided from point \(C\) to \(B\) is labeled \(x_3\). The task is to derive equations for the elastic curve of the beam and calculate the slope and deflection at the free end \(B\), considering the modulus of elasticity \(EI\) as constant throughout the beam.
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