## Introduction to Mechanics of Deformable Solids |

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Page 138

or ē ith and Ý h + 7 = - 4h 2 The centroidal -

response to pure bending ( ū = 0 for N = 0 ) brings to mind a previous and

complementary result ( Sec . 2.3 ) . If an axial force is to produce no bending , but

just ...

or ē ith and Ý h + 7 = - 4h 2 The centroidal -

**axis**requirement for linear - elasticresponse to pure bending ( ū = 0 for N = 0 ) brings to mind a previous and

complementary result ( Sec . 2.3 ) . If an axial force is to produce no bending , but

just ...

Page 151

29 shows the much more difficult situation when the z

not an

stress distribution of triangular shape goes over gradually to the fully plastic ...

29 shows the much more difficult situation when the z

**axis**, or**axis**of bending , isnot an

**axis**of symmetry . For an elastic - perfectly plastic material , the elasticstress distribution of triangular shape goes over gradually to the fully plastic ...

Page 368

Bending about an

to a plane of symmetry , or in general a principal

give rise to a very complex response . The neutral

of ...

Bending about an

**axis**which is not an**axis**of symmetry , or an**axis**perpendicularto a plane of symmetry , or in general a principal

**axis**of the cross section maygive rise to a very complex response . The neutral

**axis**is not parallel to the**axis**of ...

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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