## Introduction to Mechanics of Deformable Solids |

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Page 97

In each of the

equation than there are unknown forces . One more relation is needed to solve

the problem . The additional equation is given by the geometry of the deformation

and ...

In each of the

**examples**, the full use of statics leads to one less independentequation than there are unknown forces . One more relation is needed to solve

the problem . The additional equation is given by the geometry of the deformation

and ...

Page 99

5 / ILLUSTRATIVE

Two long , thin - walled concentric tubes fastened between rigid end plates which

are pulled apart with a force R ( Fig . 6 . 4 ) provide an interesting

5 / ILLUSTRATIVE

**EXAMPLE**OF A STATICALLY INDETERMINATE SYSTEMTwo long , thin - walled concentric tubes fastened between rigid end plates which

are pulled apart with a force R ( Fig . 6 . 4 ) provide an interesting

**example**of a ...Page 322

16 are but a few

bending under transverse force . All are

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

Almost all ...

16 are but a few

**examples**of that most important class of bodies , beams inbending under transverse force . All are

**examples**of bars with continuous ordiscontinuous variations in force ( moment ) or cross section along their length .

Almost all ...

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### Common terms and phrases

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