Introduction to Mechanics of Deformable Solids |
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Page 55
... angle ? Clearly , the dif- ference cannot be large when the tube wall is thin . To show that in fact the angle of rotation is exactly the same for all circles of a cross section regardless of wall thickness , the meaning of uniformity ...
... angle ? Clearly , the dif- ference cannot be large when the tube wall is thin . To show that in fact the angle of rotation is exactly the same for all circles of a cross section regardless of wall thickness , the meaning of uniformity ...
Page 171
... angle between the edge parallel to the axis of the shaft and each of the perpendicular lines on the faces prior to twisting must remain a right angle after twisting ( Fig . 8.116 ) . The warping of each and every cross section which ...
... angle between the edge parallel to the axis of the shaft and each of the perpendicular lines on the faces prior to twisting must remain a right angle after twisting ( Fig . 8.116 ) . The warping of each and every cross section which ...
Page 228
... angle of 30 ° counterclockwise with the plane on which the 10,000 - psi stress acts . Therefore the corresponding point on the circle is on the radial line from the center which makes an angle of twice 30 ° , or 60 ° , counterclockwise ...
... angle of 30 ° counterclockwise with the plane on which the 10,000 - psi stress acts . Therefore the corresponding point on the circle is on the radial line from the center which makes an angle of twice 30 ° , or 60 ° , counterclockwise ...
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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