Introduction to Mechanics of Deformable Solids |
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Page 55
Instead , one circle in one cross section of the tube can be taken as reference
and the angular rotations of all the other circles measured with respect to it . Do
the outer and the inner circles at a given cross section , as well as the concentric
...
Instead , one circle in one cross section of the tube can be taken as reference
and the angular rotations of all the other circles measured with respect to it . Do
the outer and the inner circles at a given cross section , as well as the concentric
...
Page 168
9 Axial symmetry , uniformity along length , and " same ” end conditions lead to a
contradiction if radial lines distort in the cross section or warp out of the cross
section . conditions , symmetry requires the cross section midway between the
two ...
9 Axial symmetry , uniformity along length , and " same ” end conditions lead to a
contradiction if radial lines distort in the cross section or warp out of the cross
section . conditions , symmetry requires the cross section midway between the
two ...
Page 171
The warping of each and every cross section which results is as shown in Fig . 8 .
11a for the reference cross section of zero rotation which lies halfway between
the ends . If each cross section warps in exactly the same way to the same extent
...
The warping of each and every cross section which results is as shown in Fig . 8 .
11a for the reference cross section of zero rotation which lies halfway between
the ends . If each cross section warps in exactly the same way to the same extent
...
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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