## Introduction to mechanics of deformable solids |

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Page 356

14.11 The beam of Prob. 14.9 is modified by changing its cross section from

round to square and by fixing the end A against rotation but keeping B as a

simple support. P is removed, and a

entire span.

14.11 The beam of Prob. 14.9 is modified by changing its cross section from

round to square and by fixing the end A against rotation but keeping B as a

simple support. P is removed, and a

**uniform**load of q lb/in. is applied over theentire span.

Page 362

The free-body sketch with the plane of cut through the flange (2)-(2) is not useful

in a quantitative sense. Although the average shear stress across the width W is (

dH/dx)/W, the distribution is far from

The free-body sketch with the plane of cut through the flange (2)-(2) is not useful

in a quantitative sense. Although the average shear stress across the width W is (

dH/dx)/W, the distribution is far from

**uniform**. The qualitative result is clear; rxy is ...Page 420

Each leads to an eigenvalue problem; the initial, perfectly straight configuration is

a possible equilibrium state. If the columns are linear-elastic, some of the

buckling loads can be obtained from others. For example, Pc for the

cantilever ...

Each leads to an eigenvalue problem; the initial, perfectly straight configuration is

a possible equilibrium state. If the columns are linear-elastic, some of the

buckling loads can be obtained from others. For example, Pc for the

**uniform**cantilever ...

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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