## Introduction to Mechanics of Deformable Solids |

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Page 125

The

planes xy and xz are planes of symmetry for the system . This symmetry ensures

that a bending moment about the z

rotation ...

The

**axes**y and z are**axes**of symmetry for any cross - sectional plane ; theplanes xy and xz are planes of symmetry for the system . This symmetry ensures

that a bending moment about the z

**axis**will produce rotation about z and norotation ...

Page 170

The corners of the square are at the greatest distance from the

shear stress on the cross section must be zero ... sides and the two diameters

which are diagonals of the square are

section .

The corners of the square are at the greatest distance from the

**axis**, but theshear stress on the cross section must be zero ... sides and the two diameters

which are diagonals of the square are

**axes**of geometric symmetry of the crosssection .

Page 372

In two dimensions , therefore , a Mohr ' s - circle construction exists and two

perpendicular centroidal

which Ins = Isn = 0 , I , is the smallest of all moments of inertia , and Is the largest

for all ...

In two dimensions , therefore , a Mohr ' s - circle construction exists and two

perpendicular centroidal

**axes**n and § ( principal**axes**) always can be found forwhich Ins = Isn = 0 , I , is the smallest of all moments of inertia , and Is the largest

for all ...

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actual addition angle answer applied assemblage axes axial axis beam behavior bending circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve cylinder deflection deformation determined diameter direction displacement effect elastic equal equation equilibrium example Figure Find force given gives homogeneous idealization increase initial interior isotropic length limit linear linear-elastic load material maximum Maxwell modulus moment needed nonlinear normal obtained outer plane plastic positive pressure principal Prob problem produced pure radius range ratio relation replaced requires residual response result rotation shaft shear stress shell shown shows simple sketch solid solution steel strain stress-strain relations structural Suppose surface symmetry temperature tensile tension thickness thin-walled torsion tube twisting uniform unloading versus viscous yield zero