## Introduction to Mechanics of Deformable Solids |

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Page 135

5 / PURE BENDING OF ASSEMBLAGES WITH

THE PLANE OF BENDING The next step toward generality is to suppose that

5 / PURE BENDING OF ASSEMBLAGES WITH

**SYMMETRY**ABOUT BUT NOT INTHE PLANE OF BENDING The next step toward generality is to suppose that

**symmetry**of the cross section about the y axis is preserved but that there is no ...Page 136

If all bars are the same , there is an axis of

which is parallel to z at a distance h / 8 below z . Nevertheless , enforced rotation

about any fixed axis z produces the same effect in each bar of this

If all bars are the same , there is an axis of

**symmetry**for the new cross sectionwhich is parallel to z at a distance h / 8 below z . Nevertheless , enforced rotation

about any fixed axis z produces the same effect in each bar of this

**symmetric**...Page 170

There no longer is axial

the sides and the two diameters which are diagonals of the square are axes of

geometric

...

There no longer is axial

**symmetry**, although both the two diameters which bisectthe sides and the two diameters which are diagonals of the square are axes of

geometric

**symmetry**of the cross section . These four axes of geometric**symmetry**...

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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