Introduction to Mechanics of Deformable Solids |
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Page 99
If , instead , the last two equations are solved for u and v and the results
substituted into the 813 equation , an explicit deformation relation is obtained
among 013 , 814 , 815 or their time derivatives , . 814 sin B + 015 sin a cos y + . .
014 cos B ...
If , instead , the last two equations are solved for u and v and the results
substituted into the 813 equation , an explicit deformation relation is obtained
among 013 , 814 , 815 or their time derivatives , . 814 sin B + 015 sin a cos y + . .
014 cos B ...
Page 185
Development of a feeling for permissible idealizations and approximations is
possible only by comparison of the results obtained for more elementary
problems with the exact answers for these problems . A secondary reason for the
study of ...
Development of a feeling for permissible idealizations and approximations is
possible only by comparison of the results obtained for more elementary
problems with the exact answers for these problems . A secondary reason for the
study of ...
Page 377
... unless at least some of the salient features of the actual , or real , state ( which
satisfies both equilibrium and compatibility ) appear either in the equilibrium set
or in the compatible set , no information about the real problem will be obtained .
... unless at least some of the salient features of the actual , or real , state ( which
satisfies both equilibrium and compatibility ) appear either in the equilibrium set
or in the compatible set , no information about the real problem will be obtained .
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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