Book cover for Mechanics of Materials

Mechanics of Materials

R. C. Hibbeler

ISBN #9780133254426

9th Edition

1,383 Questions

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42,812 Students Helped

Homework Questions

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Summary

Mechanics of Materials is a comprehensive textbook that explores the fundamental behavior of materials under a variety of loadings, from stress and strain to torsion, bending, and axial loads. The book methodically develops essential analytical tools—such as free-body diagrams, equilibrium equations, and Mohr’s circle—while integrating design methodologies like Allowable Stress Design and Limit State Design to address uncertainties in material behavior. Each chapter builds on the previous ones, serving as integral “characters” in a cohesive narrative that guides readers through experimental testing, theoretical derivations, and practical applications in structural design. Overall, the text not only establishes a solid foundation in mechanical properties and analysis but also empowers engineers to design safe, efficient, and resilient structures.

Chapters & Topics Covered

Chapter 1

Stress

Chapter 2

Strain

Chapter 3

Mechanical Properties of Materials

Chapter 4

Axial Load

Chapter 5

Torsion

Chapter 6

Bending

Chapter 7

Transverse Shear

Chapter 8

Combined Loadings

Chapter 9

Stress Transformation

Chapter 10

Strain Transformation

Chapter 11

Design of Beams and Shafts

Chapter 12

Deflection of Beams and Shafts

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Chapter 13

Buckling of Columns

Chapter 14

Energy Methods

Popular Video Solutions

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Problem 1

The A992 steel rod is subjected to the loading shown. If the cross-sectional area of the rod is $60 \mathrm{mm}^{2}$, determine the displacement of $B$ and $A,$ Neglect the size of the couplings at $B, C,$ and $D$.

Rashmi Sinha

Rashmi Sinha   Numerade Educator

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Problem 2

A pressurized spherical tank is to be made of 0.5 -in.-thick steel. If it is subjected to an internal pressure of $p=200$ psi, determine its outer radius if the maximum normal stress is not to exceed 15 ksi.

Alayne Nelson

Alayne Nelson   Numerade Educator

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Problem 3

The aircraft link is made from an A992 steel rod. Determine the smallest diameter of the rod, to the nearest $\frac{1}{16}$ in., that will support the load of 4 kip without buckling. The ends are pin connected.

Satpal Satpal

Satpal Satpal   Numerade Educator

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Problem 4

The rigid beam is supported by a pin at $A$ and wires $B D$ and $C E .$ If the load $\mathbf{P}$ on the beam causes the end $C$ to be displaced $10 \mathrm{mm}$ downward, determine the normal strain developed in wires $C E$ and $B D.$

Narayan Hari

Narayan Hari   Numerade Educator

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Problem 5

An air-filled rubber ball has a diameter of 6 in. If the air pressure within it is increased until the ball's diameter becomes 7 in., determine the average normal strain in the rubber.

Narayan Hari

Narayan Hari   Numerade Educator

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Problem 6

The simply supported beam is made of timber that has an allowable bending stress of $\sigma_{\text {allow }}=6.5 \mathrm{MPa}$ and an allowable shear stress of $\tau_{\text {allow }}=500$ kPa. Determine its dimensions if it is to be rectangular and have a height-to-width ratio of 1.25.

Chai Santi

Chai Santi   Numerade Educator

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