## Introduction to mechanics of deformable solids |

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Page 355

A

integration procedure, d2v/dx2 = M /EI, to find the left-hand reaction and the

deflection curve of the beam. Draw free-body sketches to find M. 14.9 A

homogeneous, ...

A

**uniform**load of q lb/ft is applied to the right half, as shown. Use the doubleintegration procedure, d2v/dx2 = M /EI, to find the left-hand reaction and the

deflection curve of the beam. Draw free-body sketches to find M. 14.9 A

homogeneous, ...

Page 356

P is removed, and a

response is linear-elastic : A. Find the moment at end A, using the double

integration procedure. B. Find the deflection at C. C. Draw the shear and the

moment ...

P is removed, and a

**uniform**load of q lb/in. is applied over the entire span. If theresponse is linear-elastic : A. Find the moment at end A, using the double

integration procedure. B. Find the deflection at C. C. Draw the shear and the

moment ...

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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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 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 rotation shaft shear strain shear stress shell shown in Fig 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 tion torque torsion uniform unloading versus viscous yield curve yield stress zero