Essentials of Materials Science and Engineering, SI Edition
Essentials of Materials Science and Engineering, SI Edition
4th Edition
ISBN: 9781337672078
Author: ASKELAND, Donald R., WRIGHT, Wendelin J.
Publisher: Cengage Learning
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Chapter 6, Problem 6.6P
Interpretation Introduction

Interpretation:

The terms 'plastic deformation' and 'elastic deformation' should be defined and compared.

Concept introduction:

Plastic deformation can be defined as the non-reversible deformation of an object upon application of sufficient load on it.

Elastic deformation can be defined as a term representing the reversible deformation of the object upon application of load or force on it.

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I am having trouble understanding part B. see attached photo
Thank you for your help if you would also provide the equations used .
A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be fixed supports. The beam was originally designed to withstand a triangular distributed load, however, the loading condition has been revised and can be approximated by a cosine function as shown in the figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can assume that the bending rigidity (El) is constant. wwo cos 2L x A B Figure 3: Built in beam with a varying distributed load In order to do this, you will: a. Solve the reaction forces and moments at point A and B. Hint: you may find it convenient to use the principal of superposition. (2%) b. Plot the shear force and bending moment diagrams and identify the maximum shear force and bending moment. (2%) c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x. (1%)

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Essentials of Materials Science and Engineering, SI Edition

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