## Engineering mechanics of materialsThis book provides the students of various engineering disciplines with a clear and understandable treatment of the concepts of Mechanics of Materials or Strength of Materials. This subject is concerned with the behavior of deformable bodies when subjected to axial, torsional and flexural loads as well as combinations thereof. It is a 3rd, updated edition of the popular undergraduate level textbook useful for students of mechanical, structural, civil, aeronautical and other engineering disciplines. The book is supplied with problems and a solution manual will be available from the authors. |

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Page 232

d/2 F, = 1 axdA (5.11a) where dA is an element of area in plane ijkl at a distance

v below the neutral axis and the stress ax is

Eq. 5.10a into Eq. 5.1 la yields ',-— I v * u Jo i dA (5.11b) 2. A normal force F2 ...

d/2 F, = 1 axdA (5.11a) where dA is an element of area in plane ijkl at a distance

v below the neutral axis and the stress ax is

**given by Eq**. 5.10a. Thus substitutingEq. 5.10a into Eq. 5.1 la yields ',-— I v * u Jo i dA (5.11b) 2. A normal force F2 ...

Page 250

5.19 and by using Eqs. 5.13d and 5.13e, we obtain tan 0 = — M, -{/Jtan/J Solving

Eq. 5. ... the u principal centroidal axis of inertia, and therefore the flexural stress

at any location defined by the coordinates u and v would be

5.19 and by using Eqs. 5.13d and 5.13e, we obtain tan 0 = — M, -{/Jtan/J Solving

Eq. 5. ... the u principal centroidal axis of inertia, and therefore the flexural stress

at any location defined by the coordinates u and v would be

**given by Eq**. 5.10a.Page 370

uv = ^—r^ (ct, + a2 + tr3)2 (7.9b) The energy of distortion per unit volume, ud, may

now be obtained from Eq. 7.5b by ... distortion per unit volume in this member as

uv = ^—r^ (ct, + a2 + tr3)2 (7.9b) The energy of distortion per unit volume, ud, may

now be obtained from Eq. 7.5b by ... distortion per unit volume in this member as

**given by Eq**. 7.10b reaches the critical value of the material**given by Eq**. 7.1 1.### What people are saying - Write a review

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### Contents

Stress Strain and Their Relationships | 60 |

Stresses and Strains in Axially Loaded Members | 121 |

Torsional Stresses Strains and Rotations | 159 |

Copyright | |

14 other sections not shown

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### Common terms and phrases

absolute maximum shear aluminum angle of twist applied Assume axial force axially loaded beam shown bending cantilever beam Castigliano's second theorem column compressive constant coordinate cross section cross-sectional area cylinder deflection deformation depicted in Fig elastic curve equal equation equilibrium Euler EXAMPLE factor of safety FIGURE flexural stress FORTRAN free-body diagram function given by Eq k-ft k-in kN-m lb/ft length longitudinal material maximum in-plane shear maximum shear stress modulus of elasticity Mohr's circle neutral axis normal stress obtained perpendicular plane stress condition plot positive principal centroidal axis principal strains principal stresses radius ratio reactions Refer to Fig respect rotation shear force shear strain shown in Fig simply supported beam slope SOLUTION Solve Problem statically indeterminate steel stress concentration stress element subjected torque torsional uniform load vertical yield strength yield stress zero