Introduction to Mechanics of Deformable Solids |
From inside the book
Results 1-3 of 28
Page 57
... approximation to the assumed constancy of strain . Unfortunately , the thinner the tube , the less the shear stress and strain it can carry before it buckles out of its circular shape . Experi- mental results can be obtained for the ...
... approximation to the assumed constancy of strain . Unfortunately , the thinner the tube , the less the shear stress and strain it can carry before it buckles out of its circular shape . Experi- mental results can be obtained for the ...
Page 185
... approximation and simulation . Therefore we have studied assemblages of a few bars which simulate a beam in bending and assem- blages of a few circular tubes which simulate a circular bar in torsion . Develop- ment of a feeling for ...
... approximation and simulation . Therefore we have studied assemblages of a few bars which simulate a beam in bending and assem- blages of a few circular tubes which simulate a circular bar in torsion . Develop- ment of a feeling for ...
Page 406
... approximation tan P L - P [ ( √P / EI ) L ] 3 VEI VEI ΕΙ L = = 3 PL3 3EI VEI P = FL3 / 3EI ; P has disappeared entirely Substitution in Eq . ( 16.2 : 9 ) gives Umax in this first approximation . The next , or second , approximation ...
... approximation tan P L - P [ ( √P / EI ) L ] 3 VEI VEI ΕΙ L = = 3 PL3 3EI VEI P = FL3 / 3EI ; P has disappeared entirely Substitution in Eq . ( 16.2 : 9 ) gives Umax in this first approximation . The next , or second , approximation ...
Other editions - View all
Common terms and phrases
applied assemblage axes axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization increase inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load M₂ maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates 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 T₁ temperature tensile stress thick-walled time-dependent torque torsion uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ