The piecewise moment equations are given for a beam where the origin of x is located at the left end of the beam. Derive the shear and load equations for the beam. Then plot the load diagram, shear diagram, and moment diagram. Assume upward forces are supports and that units in all cases are kips and feet. The image shows a piecewise function \( M(x) \) defined as follows:- For the interval \( 0 \leq x \leq 2.5 \) feet, the function is \( M(x) = -10x \).- For the interval \( 2.5 < x \leq 5.5 \) feet, the function is \( M(x) = 19x - 72.5 \).- For the interval \( 5.5 < x \leq 7.5 \) feet, the function is \( M(x) = -16x + 120 \).This piecewise function is used to define different linear relationships over specified intervals of \( x \). Each piece of the function is valid only within its specified range of \( x \).

Shear Force Diagram is generally the diagram that shows the variation of shear force along the…

Answered: The piecewise moment equations are…

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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The piecewise moment equations are given for a beam where the origin of x is located at the left end of the beam. Derive the shear and load equations for the beam. Then plot the load diagram, shear diagram, and moment diagram. Assume upward forces are supports and that units in all cases are kips and feet.

The image shows a piecewise function \( M(x) \) defined as follows:

- For the interval \( 0 \leq x \leq 2.5 \) feet, the function is \( M(x) = -10x \).
- For the interval \( 2.5 < x \leq 5.5 \) feet, the function is \( M(x) = 19x - 72.5 \).
- For the interval \( 5.5 < x \leq 7.5 \) feet, the function is \( M(x) = -16x + 120 \).

This piecewise function is used to define different linear relationships over specified intervals of \( x \). Each piece of the function is valid only within its specified range of \( x \).

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