Ferdinand P. Beer, E. Russell Johnston, Jr., John T. DeWolf
ISBN #9781260113273
8th Edition
1,507 Questions
Homework Questions
Mechanics of Materials is a foundational text that rigorously explores how materials respond to various loads, focusing on stress, strain, bending, torsion, and deflection. The book systematically presents theoretical concepts—such as free-body diagrams, equilibrium equations, and energy methods—while integrating practical design principles like the factor of safety, allowable load determination, and LRFD. It guides readers from basic principles of axial and shear stresses to more complex topics including composite beam analysis, column stability, and energy methods, equipping engineers with a comprehensive understanding of structural behavior under diverse loading conditions.
Chapter 1
Introduction - Concept of Stress
Chapter 2
Stress and Strain-Axial Loading
Chapter 3
Torsion
Chapter 4
Pure Bending
Chapter 5
Analysis and Design of Beams for Bending
Chapter 6
Shearing Stresses in Beams and Thin-Walled Members
Chapter 7
Transformations of Stress and Strain
Chapter 8
Principal Stresses Under a Given Loading
Chapter 9
Deflection of Beams
Chapter 10
Columns
Chapter 11
Energy Methods
Problem 1
A steel tube $(E=200 \mathrm{GPa})$ with a 32 -mm outer diameter and a 4-mm wall thickness is placed in a vise, which is adjusted so that its jaws just touch the ends of the tube without exerting pressure on them. The two forces shown are then applied to the tube. After these forces are applied, the vise is adjusted to decrease the distance between its jaws by $0.2 \mathrm{mm}$. Determine ( $a$ ) the forces exerted by the vise on the tube at $A$ and $D,(b)$ the change in length of portion $B C$ of the tube.
Rashmi Sinha Numerade Educator
Problem 2
At a time when rotation is prevented at the lower end of each shaft, a $50-\mathrm{N} \cdot \mathrm{m}$ torque is applied to end $A$ of shaft $A B .$ Knowing that $G=77.2$ GPa for both shafts, determine $(a)$ the maximum shearing stress in shaft $C D,(b)$ the angle of rotation at $A$.
Problem 3
A 1.75 -kN.m torque is applied to the solid cylinder shown. Determine $(a)$ the maximum shearing stress, $(b)$ the percent of the torque carried by the inner 25 -mm-diameter core.
Problem 4
The specimen shown has been cut from a 5 -mm-thick sheet of vinyl $(E=3.10 \mathrm{GPa})$ and is subjected to a 1.5 -kN tensile load. Determine $(a)$ the total deformation of the specimen, $(b)$ the deformation of its central portion $B C$.
Anand Jangid Numerade Educator
Problem 5
The rigid bar $A D$ is supported by two steel wires of $\frac{1}{16}$ -in. diameter $\left(E=29 \times 10^{6} \mathrm{psi}\right)$ and a pin and bracket at $A .$ Knowing that the wires were initially taut, determine (a) the additional tension in each wire when a 220 -lb load $\mathbf{P}$ is applied at $D,(b)$ the corresponding deflection of point $D$.
Problem 6
A brass bolt $\left(E_{b}=15 \times 10^{6} \mathrm{psi}\right)$ of $\frac{3}{8}$ -in. diameter is fitted inside a steel tube $\left(E_{s}=29 \times 10^{6} \mathrm{psi}\right)$ of $\frac{7}{8}$ -in. outer diameter and $\frac{1}{8}$ -in. wall thickness. After the nut has been fit snugly, it is tightened a onequarter full turn. Knowing that the bolt is single-threaded with a 0.1 -in. pitch, determine the normal stress in ( $a$ ) the bolt, ( $b$ ) the tube.
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