Book cover for Mechanics of Materials

Mechanics of Materials

Ferdinand P. Beer, E. Russell Johnston, Jr., John T. DeWolf

ISBN #9781260113273

8th Edition

1,507 Questions

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Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This chapter introduces the concept of stress and demonstrates how to determine stress distributions in structural members using statics. Topics covered include axial stress in two-force members, shear and bearing stresses in connections, and stress analysis on oblique sections. By using free-body diagrams and equilibrium equations, engineers can determine reaction forces, internal loads, and subsequent stress levels. Several design considerations such as the factor of safety, allowable load determination, and LRFD principles are discussed to ensure safe and economical design. The chapter emphasizes the importance of correlating the theoretical stress calculations with practical considerations in materials and design.

Learning Objectives

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Key Concepts

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DEFINITION

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Example Problems

Example 1

Two solid cylindrical rods $A B$ and $B C$ are welded together at $B$ and loaded as shown. Knowing that $d_{1}=30 \mathrm{mm}$ and $d_{2}=50 \mathrm{mm}$ find the average normal stress at the midsection of $(a)$ rod $A B$ $(b) \operatorname{rod} B C$

Example 2

Two solid cylindrical rods $A B$ and $B C$ are welded together at $B$ and loaded as shown. Knowing that the average normal stress must not exceed $150 \mathrm{MPa}$ in either rod, determine the smallest allowable values of the diameters $d_{1}$ and $d_{2}$

Example 3

Two solid cylindrical rods $A B$ and $B C$ are welded together at $B$ and loaded as shown. Knowing that $P=10$ kips, find the average normal stress at the midsection of $(a) \operatorname{rod} A B,(b) \operatorname{rod} B C$

Example 4

Two solid cylindrical rods $A B$ and $B C$ are welded together at $B$ and loaded as shown. Determine the magnitude of the force $\mathbf{P}$ for which the tensile stresses in rods $A B$ and $B C$ are equal. A strain gage located at $C$ on the surface of bone $A B$ indicates that the average normal stress

Example 5

In the bone is 3.80 MPa when the bone is subjected to two 1200 -N forces as shown. Assuming the cross section of the bone at $C$ to be annular and knowing that its outer diameter is $25 \mathrm{mm}$, determine the inner diameter of the bone's cross section at $C$.

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Step-by-Step Explanations

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Common Mistakes

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