Introduction to Mechanics of Deformable Solids |
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Page 55
outward along the radius , all points on the circle must move outward by the same
amount . Similarly , the circumferential displacement of each of the points of the
circle must be the same . Therefore , at each stage in the twisting deformation ...
outward along the radius , all points on the circle must move outward by the same
amount . Similarly , the circumferential displacement of each of the points of the
circle must be the same . Therefore , at each stage in the twisting deformation ...
Page 228
The line joining points 1 and 3 is a diameter of the Mohr ' s circle for the
components of stress acting on any plane perpendicular to the plane of the paper
. Two points are sufficient to determine the circle , because its center must lie on
the on ...
The line joining points 1 and 3 is a diameter of the Mohr ' s circle for the
components of stress acting on any plane perpendicular to the plane of the paper
. Two points are sufficient to determine the circle , because its center must lie on
the on ...
Page 230
6 ) ( d ) Circle is traced out as B goes from 0 to 180° ( see Fig . 11 . 8 ) . The
calculation is simple and direct and should not be skipped . The result , however ,
can be written down without going through the entire process of summation of
forces ...
6 ) ( d ) Circle is traced out as B goes from 0 to 180° ( see Fig . 11 . 8 ) . The
calculation is simple and direct and should not be skipped . The result , however ,
can be written down without going through the entire process of summation of
forces ...
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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