Essentials Of Materials Science And Engineering, Si Edition
Essentials Of Materials Science And Engineering, Si Edition
4th Edition
ISBN: 9781337629157
Author: Donald R. Askeland, Wendelin J. Wright
Publisher: Cengage Learning
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Chapter 4, Problem 4.9P
Interpretation Introduction

Interpretation:

The fraction of atomic sites which are occupied by Ni is to be determined.

Concept introduction:

Number of atoms of a component (ni) in the given alloy is calculated by the formula:

  ni=mi×NA( A.M)i ........ (1)

Here, mi is the mass of component i present in the alloy, (A.M)i is the atomic mass of component i, and NA is the Avogadro's number.

Fraction of the atomic sites (x) occupied by the component i in the alloy is calculated by the formula:

  x=nini ........ (2)

Here, ni is the number of atoms of component i and ni is the sum of all the atoms of all the components present in the alloy.

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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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