## Introduction to mechanics of deformable solids |

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Page 135

7.5 / PURE BENDING OF ASSEMBLAGES WITH

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

7.5 / PURE BENDING OF ASSEMBLAGES WITH

**SYMMETRY**ABOUT BUT NOTIN THE 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

There is no axis parallel to z which is an axis of

However, the rectangular "beam" of Fig. 7.146 remains a rectangular array when

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

...

There is no axis parallel to z which is an axis of

**symmetry**for the cross section.However, the rectangular "beam" of Fig. 7.146 remains a rectangular array when

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

**symmetry**for...

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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angle applied assemblage axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cross section cylinder dashpot deflection diameter direction displacement elastic-perfectly plastic elongation equation of virtual equations of equilibrium factor of safety free-body sketch homogeneous idealization increase inelastic initial interior pressure isotropic Kelvin Kelvin material limit linear Maxwell linear-elastic response linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit principal stresses Prob problem pure bending radial radius ratio rotation shaft shear center shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel strain rate stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled thickness time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress zero