## Introduction to mechanics of deformable solids |

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Page 137

n n n where y is the y coordinate of the

areas EnAn, £ EnAnyn y = £ (7.5:3) " I EnAn n In the special but very important

case of a homogeneous assemblage (constant E), N = -*EATy (7.5:4) where AT is

...

n n n where y is the y coordinate of the

**centroid**of the transformed, or equivalent,areas EnAn, £ EnAnyn y = £ (7.5:3) " I EnAn n In the special but very important

case of a homogeneous assemblage (constant E), N = -*EATy (7.5:4) where AT is

...

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 364

The line of action of V is not through the

flanges are fully plastic at a0, V must act along the center line of the web. When

the entire beam is linear-elastic or viscoelastic, however, the Shear center

The line of action of V is not through the

**centroid**of the cross section. When theflanges are fully plastic at a0, V must act along the center line of the web. When

the entire beam is linear-elastic or viscoelastic, however, the Shear center

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### Common terms and phrases

applied assemblage axial force beam behavior centroid circumferential column compatibility components of stress conditions of deformation constant creep cross section cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch fully plastic 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 Poisson's ratio principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell simple shear solution statically statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled sphere thickness time-dependent torque torsion uniform unloading versus viscous yield curve yield stress zero