## 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 269

The first derivative of this function with respect to x, dv/dx, represents the

the elastic curve and is a derived function/'(x), which is also a function of x. To

derive the governing differential equation for beam deflections (or displacements)

, ...

The first derivative of this function with respect to x, dv/dx, represents the

**slope**ofthe elastic curve and is a derived function/'(x), which is also a function of x. To

derive the governing differential equation for beam deflections (or displacements)

, ...

Page 317

between points B and C. Use the area-moment method and express answers in

terms of MA , L, E, and b. 6.66 Apply the area-moment method to determine the

following deflections and

A.

between points B and C. Use the area-moment method and express answers in

terms of MA , L, E, and b. 6.66 Apply the area-moment method to determine the

following deflections and

**slopes**of the beam depicted in Fig. P6.66. (a)**Slope**atA.

Page 332

Point B lies midway between points A and C. It is supported at point A on the left

by a pin and at point B by a roller. A clockwise couple M0 is applied at point C

which is free to deflect. Write the equations of the elastic curve and

of ...

Point B lies midway between points A and C. It is supported at point A on the left

by a pin and at point B by a roller. A clockwise couple M0 is applied at point C

which is free to deflect. Write the equations of the elastic curve and

**slope**for eachof ...

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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