Introduction to Mechanics of Deformable Solids |
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Page 125
The axes y and z are axes of symmetry for any cross - sectional plane ; the
planes xy and xz are planes of symmetry for the system . This symmetry ensures
that a bending moment about the z axis will produce rotation about z and no
rotation ...
The axes y and z are axes of symmetry for any cross - sectional plane ; the
planes xy and xz are planes of symmetry for the system . This symmetry ensures
that a bending moment about the z axis will produce rotation about z and no
rotation ...
Page 170
These four axes of geometric symmetry , located in the cross section which lies
halfway between the ends , cannot warp ... Therefore , if uniformity along the
length of the shaft is possible , these axes cannot warp out of or distort in their
plane at ...
These four axes of geometric symmetry , located in the cross section which lies
halfway between the ends , cannot warp ... Therefore , if uniformity along the
length of the shaft is possible , these axes cannot warp out of or distort in their
plane at ...
Page 372
In two dimensions , therefore , a Mohr ' s - circle construction exists and two
perpendicular centroidal axes n and § ( principal axes ) always can be found for
which Ins = Isn = 0 , I , is the smallest of all moments of inertia , and Is the largest
for all ...
In two dimensions , therefore , a Mohr ' s - circle construction exists and two
perpendicular centroidal axes n and § ( principal axes ) always can be found for
which Ins = Isn = 0 , I , is the smallest of all moments of inertia , and Is the largest
for all ...
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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