## Introduction to Mechanics of Deformable Solids |

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Page 348

4 ) Mota MY + lolmax Fig . 14 . 14 Collapse at plastic - limit load F = Fo . ( Note :

subsequent shape as

4 ) Mota MY + lolmax Fig . 14 . 14 Collapse at plastic - limit load F = Fo . ( Note :

**Deflections**v greatly exaggerated . ) v « L , v « a . ( a ) Initial elastic**deflection**andsubsequent shape as

**deflection**continues at limit load ; ( b ) plastic deformation ...Page 368

When the material is nonlinear , the orientation and the position of the neutral

axis usually will alter from one cross section to the next ; the direction of the

is ...

When the material is nonlinear , the orientation and the position of the neutral

axis usually will alter from one cross section to the next ; the direction of the

**deflection**and the pattern of stress and strain distribution will change as the loadis ...

Page 410

Large

slightest disturbance will cause large transverse

the existence of a discrete and not a continuous set of eigenvalues ( 16 . 3 : 4 ) .

Large

**deflection**theory Por P P , or P , - Umax max ( b ) Fig . 16 . ... The veryslightest disturbance will cause large transverse

**deflections**at all P > Ph , despitethe existence of a discrete and not a continuous set of eigenvalues ( 16 . 3 : 4 ) .

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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