## Mechanics of Materials |

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Page 788

A-10 l^IxydA lvm-fxydA In general, the moment of

every axis about which it is computed. In some applications of mechanical or

structural design it is necessary to know the orientation of those axes that give, ...

A-10 l^IxydA lvm-fxydA In general, the moment of

**inertia**for an area is different forevery axis about which it is computed. In some applications of mechanical or

structural design it is necessary to know the orientation of those axes that give, ...

Page 789

The first term on the right represents the product of

to the centroidal axis, lxy. The second and third terms are zero since the moments

of the area are taken about the centroidal axis. Realizing that the fourth ...

The first term on the right represents the product of

**inertia**of the area with respectto the centroidal axis, lxy. The second and third terms are zero since the moments

of the area are taken about the centroidal axis. Realizing that the fourth ...

Page 791

Principal Moments of

depend on the angle of inclination, 6, of the x' , y' axes. We will now determine the

orientation of the x' , y' axes about which the moments of

Principal Moments of

**Inertia**. From Eq. A-10, it may be seen that Ix', Iy, and Ixydepend on the angle of inclination, 6, of the x' , y' axes. We will now determine the

orientation of the x' , y' axes about which the moments of

**inertia**for the area, ...### What people are saying - Write a review

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### Contents

Contents | 1 |

Strain | 67 |

Mechanical Properties of Materials | 83 |

Copyright | |

16 other sections not shown

### Common terms and phrases

allowable shear stress aluminum angle of twist Applying Eq assumed average normal stress axes axial force axial load beam is subjected beam's bolt buckling caused centroid column compressive computed constant cross section cross-sectional area deflection deformation deter Determine the maximum diameter distributed load Draw the shear elastic curve Example factor of safety free-body diagram Hooke's law inertia internal loadings kip/ft length linear-elastic loading shown material maximum bending stress maximum in-plane shear maximum shear stress modulus of elasticity Mohr's circle neutral axis normal strain plane stress plastic positive principal stresses radius resultant internal sectional area segment shaft shear center shear flow shear force shear strain shown in Fig SOLUTION Solve Prob statically indeterminate steel strain energy stress acting stress at points stress components stress distribution stress-strain diagram tensile tensile stress thickness torque torsional tube vertical yield zero