Introduction to Mechanics of Deformable Solids |
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Page 348
4 ) Mota MY + lolmax Fig . 14 . 14 Collapse at plastic - limit load F = Fo . ( Note :
Deflections v greatly exaggerated . ) v « L , v « a . ( a ) Initial elastic deflection and
subsequent shape as deflection continues at limit load ; ( b ) plastic deformation ...
4 ) Mota MY + lolmax Fig . 14 . 14 Collapse at plastic - limit load F = Fo . ( Note :
Deflections v greatly exaggerated . ) v « L , v « a . ( a ) Initial elastic deflection and
subsequent shape as deflection continues at limit load ; ( b ) plastic deformation ...
Page 368
When the material is nonlinear , the orientation and the position of the neutral
axis usually will alter from one cross section to the next ; the direction of the
deflection and the pattern of stress and strain distribution will change as the load
is ...
When the material is nonlinear , the orientation and the position of the neutral
axis usually will alter from one cross section to the next ; the direction of the
deflection and the pattern of stress and strain distribution will change as the load
is ...
Page 410
Large deflection theory Por P P , or P , - Umax max ( b ) Fig . 16 . ... The very
slightest disturbance will cause large transverse deflections at all P > Ph , despite
the existence of a discrete and not a continuous set of eigenvalues ( 16 . 3 : 4 ) .
Large deflection theory Por P P , or P , - Umax max ( b ) Fig . 16 . ... The very
slightest disturbance will cause large transverse deflections at all P > Ph , despite
the existence of a discrete and not a continuous set of eigenvalues ( 16 . 3 : 4 ) .
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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