## Engineering mechanics of materials |

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Page 151

The annular

Shearing stress xp acts over this annular area and the

the ...

The annular

**differential**element of area dA is given by dA = 2np dp (4.12)Shearing stress xp acts over this annular area and the

**differential**force on this**differential**area is given by dF = xpdA = x„(2np dp) (4.13) A**differential**part dT ofthe ...

Page 231

Thus Return now to Figure 5.6(b) and consider the element of area dA at a

distance v below the neutral axis. As stated earlier, the normal bending stress at

this location is av , which produces a

element of ...

Thus Return now to Figure 5.6(b) and consider the element of area dA at a

distance v below the neutral axis. As stated earlier, the normal bending stress at

this location is av , which produces a

**differential**normal force acting on theelement of ...

Page 304

A

right side of Eq. 6.21 equals the area under the MJEIu diagram between the limits

xA and xB . Theorem I. The angle change between two tangents to the elastic ...

A

**differential**area under this curve equals (MJEIu)dx. Thus the integral on theright side of Eq. 6.21 equals the area under the MJEIu diagram between the limits

xA and xB . Theorem I. The angle change between two tangents to the elastic ...

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### Contents

Introduction | 1 |

Torsionally Loaded Members in Equilibrium | 14 |

Shear and Bending Moment in Beams | 23 |

Copyright | |

19 other sections not shown

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### Common terms and phrases

absolute maximum shear allowable stress aluminum angle of twist applied Assume axes axial force axially loaded beam shown bending cantilever beam Castigliano's second theorem circular column components compressive Compute constant construct coordinate cross section cross-sectional area cylinder deflection deformation depicted in Figure Determine diameter differential elastic curve equal equation equilibrium factor of safety flexural stress free-body diagram function given by Eq Homework Problems k-ft k-in kN-m length longitudinal material maximum shear stress modulus of elasticity Mohr's circle neutral axis normal stress obtained perpendicular plane stress plot principal centroidal axis principal strains principal stresses radius Refer to Figure respect rotation section a-a segment shear center shear force shear strain shown in Figure slope solution Solve static statically indeterminate steel stress element subjected Substitution tension tion torque torsional uniform load vertical yield strength yield stress zero