## 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 axis will produce rotation about z and no

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 no

rotation ...

Page 170

These four

halfway between the ends , cannot warp ... Therefore , if uniformity along the

length of the shaft is possible , these

plane at ...

These four

**axes**of geometric symmetry , located in the cross section which lieshalfway between the ends , cannot warp ... Therefore , if uniformity along the

length of the shaft is possible , these

**axes**cannot warp out of or distort in theirplane at ...

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