Introduction to Mechanics of Deformable Solids |
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Page 51
4.3 Long , thin - walled circular tube of homogeneous and isotropic material . o
Fig . 4.4 Typical cross section . The wall thickness tw is exaggerated to make the
details clearer . The mean radius r differs little from the outer or the inner radius .
w ...
4.3 Long , thin - walled circular tube of homogeneous and isotropic material . o
Fig . 4.4 Typical cross section . The wall thickness tw is exaggerated to make the
details clearer . The mean radius r differs little from the outer or the inner radius .
w ...
Page 163
However , if an actual material in the shape of a thin - walled circular tube were to
change in length when twisted , it is not likely that it would obey this strain
requirement fully . The outer tubes are under greater shear strain and so would
have ...
However , if an actual material in the shape of a thin - walled circular tube were to
change in length when twisted , it is not likely that it would obey this strain
requirement fully . The outer tubes are under greater shear strain and so would
have ...
Page 170
Concentric circular tubes provide no guide to the solution , because only a
circular solid or hollow shaft can result from their combination . It is easy to see
that no reliance can be placed on the main results of the circular - shaft analysis .
Concentric circular tubes provide no guide to the solution , because only a
circular solid or hollow shaft can result from their combination . It is easy to see
that no reliance can be placed on the main results of the circular - shaft analysis .
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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