## Introduction to mechanics of deformable solids |

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Page 137

Pn = OnAn = EnenAa = — EaAnyn J- so that N = \Pn - - f 2 EnAnVn = ~ I (I (7 5:2)

n n n where i/ is the y coordinate of the

areas EaAn, £ EnAayn y = £ (7.5:3) I EnAa n In the special but very important ...

Pn = OnAn = EnenAa = — EaAnyn J- so that N = \Pn - - f 2 EnAnVn = ~ I (I (7 5:2)

n n n where i/ is the y coordinate of the

**centroid**of the transformed, or equivalent,areas EaAn, £ EnAayn y = £ (7.5:3) I EnAa n In the special but very important ...

Page 138

If an axial force is to produce no bending, but just extension or contraction in a

homogeneous bar, it must act along the line of

reciprocal relation among normal force, bending moment, extension, and rotation

...

If an axial force is to produce no bending, but just extension or contraction in a

homogeneous bar, it must act along the line of

**centroids**of the cross section. Thisreciprocal relation among normal force, bending moment, extension, and rotation

...

Page 368

The shear center coincides with the

at the end is directed along one diagonal of the rectangle, the deflection may be

shown to be in the direction perpendicular to the other diagonal. If the rectangle ...

The shear center coincides with the

**centroid**of the cross section. When the forceat the end is directed along one diagonal of the rectangle, the deflection may be

shown to be in the direction perpendicular to the other diagonal. If the rectangle ...

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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