Introduction to Mechanics of Deformable Solids |
From inside the book
Results 1-3 of 85
Page 89
... RELATION TO THE GENERAL PROBLEM AND INTRODUCTION TO GENERALIZED STRESS AND STRAIN The analysis of bars under axial ... relation between axial tension P and accompanying elongation & in a uniform tension bar is PL AE 8 - in the linear ...
... RELATION TO THE GENERAL PROBLEM AND INTRODUCTION TO GENERALIZED STRESS AND STRAIN The analysis of bars under axial ... relation between axial tension P and accompanying elongation & in a uniform tension bar is PL AE 8 - in the linear ...
Page 159
... relation . There is , however , one important difference in the physical situation . In the case of axial pull , the ... relation ye T / G , the strain - twist relation . = y = rø / L , and the equilibrium relation ASSEMBLAGES OF ...
... relation . There is , however , one important difference in the physical situation . In the case of axial pull , the ... relation ye T / G , the strain - twist relation . = y = rø / L , and the equilibrium relation ASSEMBLAGES OF ...
Page 322
... relation is the uniaxial stress - strain relation itself , e = σ / E , = do N dx or d8 = AE N dx AE δ = LN AE dx ( 14.2 : 1 ) which agrees , as it must , with the earlier generalized - stress - generalized - strain form = NL / AE for ...
... relation is the uniaxial stress - strain relation itself , e = σ / E , = do N dx or d8 = AE N dx AE δ = LN AE dx ( 14.2 : 1 ) which agrees , as it must , with the earlier generalized - stress - generalized - strain form = NL / AE for ...
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 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 determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry T₁ T₂ temperature tensile tensile stress thick-walled time-dependent torque torsion uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ