## Introduction to Mechanics of Deformable Solids |

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Page 168

9 Axial symmetry , uniformity along

contradiction if radial lines distort in the cross section or warp out of the cross

section . conditions , symmetry requires the cross section midway between the

two ...

9 Axial symmetry , uniformity along

**length**, and " same ” end conditions lead to acontradiction if radial lines distort in the cross section or warp out of the cross

section . conditions , symmetry requires the cross section midway between the

two ...

Page 322

3 to 14 . 16 are but a few examples of that most important class of bodies , beams

in bending under transverse force . All are examples of bars with continuous or

discontinuous variations in force ( moment ) or cross section along their

3 to 14 . 16 are but a few examples of that most important class of bodies , beams

in bending under transverse force . All are examples of bars with continuous or

discontinuous variations in force ( moment ) or cross section along their

**length**.Page 420

2 . 7 ) tend to be excessively large . 16 . 5 / OTHER END CONDITIONS Linear -

elastic columns A fixed - ended column of

propped cantilever column ( fixed at one end and hinged at the other ) of

L2 ...

2 . 7 ) tend to be excessively large . 16 . 5 / OTHER END CONDITIONS Linear -

elastic columns A fixed - ended column of

**length**L , is shown in Fig . 16 . 3c , apropped cantilever column ( fixed at one end and hinged at the other ) of

**length**L2 ...

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acts actual addition angle answer applied assemblage axial axis beam behavior bending carry circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve deflection deformation determined diameter dimensions direction displacement effect elastic equal equation example Figure Find force given gives homogeneous idealization increase independent 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 response result rotation shear stress shell shown shows simple sketch solution steel strain stress-strain relations structural Suppose surface symmetry temperature tensile tension thickness thin-walled tube twisting uniform unloading versus viscous yield zero