Introduction to Mechanics of Deformable Solids |
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Page 51
3 Long , thin - walled circular tube of homogeneous and isotropic material . Fig . 4
. 4 Typical cross section . The wall thickness tv is exaggerated to make the details
clearer . The mean radius r differs little from the outer or the inner radius . 4 .
3 Long , thin - walled circular tube of homogeneous and isotropic material . Fig . 4
. 4 Typical cross section . The wall thickness tv is exaggerated to make the details
clearer . The mean radius r differs little from the outer or the inner radius . 4 .
Page 163
5 T = 1 , r dA = 20 ( " r ? dr dA = 2mr dr would be indistinguishable in behavior
from a thick - walled tube or a solid circular bar if the change in length of each
individual tube were the same and the change in diameter were proportional to
the ...
5 T = 1 , r dA = 20 ( " r ? dr dA = 2mr dr would be indistinguishable in behavior
from a thick - walled tube or a solid circular bar if the change in length of each
individual tube were the same and the change in diameter were proportional to
the ...
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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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