## Introduction to mechanics of deformable solids |

### From inside the book

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Page 97

The additional equation is given by the geometry of the deformation and so

introduces the physical and ... or of motion have been written down, is to state the

condition or

The additional equation is given by the geometry of the deformation and so

introduces the physical and ... or of motion have been written down, is to state the

condition or

**conditions of deformation**or geometric compatibility explicitly.Page 334

For each of these statically determinate beams there are just two boundary

conditions on v (or on v and dv/dx) . ... Now the boundary conditions contain

be ...

For each of these statically determinate beams there are just two boundary

conditions on v (or on v and dv/dx) . ... Now the boundary conditions contain

**conditions of deformation**or compatibility of slopes and deflections and so mustbe ...

Page 335

This time we have introduced three boundary conditions and two constants of

integration. They are equivalent to one

information to locate the x axis as the line passing through A and B of Fig. 14.9. In

more ...

This time we have introduced three boundary conditions and two constants of

integration. They are equivalent to one

**condition of deformation**plus enoughinformation to locate the x axis as the line passing through A and B of Fig. 14.9. In

more ...

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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