Introduction to Mechanics of Deformable Solids |
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Page 125
... axes y and z are axes of symmetry for any cross - sectional plane ; the planes xy and xz are planes of symmetry for the system . This symmetry ensures that a bending moment about the z axis will produce rotation about z and no rotation ...
... axes y and z are axes of symmetry for any cross - sectional plane ; the planes xy and xz are planes of symmetry for the system . This symmetry ensures that a bending moment about the z axis will produce rotation about z and no rotation ...
Page 170
... axes of geometric symmetry of the cross section . These four axes of geometric symmetry , located in the cross section which lies halfway between the ends , cannot warp out of their plane or distort in their plane . Therefore , if ...
... axes of geometric symmetry of the cross section . These four axes of geometric symmetry , located in the cross section which lies halfway between the ends , cannot warp out of their plane or distort in their plane . Therefore , if ...
Page 372
... axes 7 and ( principal axes ) always can be found for which Is I , 0 , I , is the smallest of all moments of inertia , and I the largest for all centroidal axes in the cross section . The 7 axis is called the weak axis , and the axis is ...
... axes 7 and ( principal axes ) always can be found for which Is I , 0 , I , is the smallest of all moments of inertia , and I the largest for all centroidal axes in the cross section . The 7 axis is called the weak axis , and the axis is ...
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angle applied assemblage axes axial force beam behavior buckling cantilever centroid circular circumferential column compatibility components of stress compression constant creep cross section cylinder deflection diameter direction displacement elastic elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load M₂ material maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem radial radius ratio rotation shaft shear center 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 temperature tensile stress thick-walled time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ