## Introduction to mechanics of deformable solids |

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Page 138

Elastic perfectly plastic response In the examples with symmetry of the cross

section about both y and z, the

under pure bending moment M, (N = 0), coincides with the z axis at all times for

all ...

Elastic perfectly plastic response In the examples with symmetry of the cross

section about both y and z, the

**neutral axis**, or axis about which rotation occursunder pure bending moment M, (N = 0), coincides with the z axis at all times for

all ...

Page 370

which agrees with Eq. (14.9:1) and confirms that y = (h/b)z, the diagonal of the

rectangle, is the

other diagonal. Unsymmetric beam Figure 14.22 illustrates more general aspects

of ...

which agrees with Eq. (14.9:1) and confirms that y = (h/b)z, the diagonal of the

rectangle, is the

**neutral axis**for linear response when P is directed along theother diagonal. Unsymmetric beam Figure 14.22 illustrates more general aspects

of ...

Page 371

14.24 Bending about any centroidal axis N — A. (a) Arbitrary axes y, z and yi, z,; (

6) principal axes v, f. where a and b are constants. The equation of the

...

14.24 Bending about any centroidal axis N — A. (a) Arbitrary axes y, z and yi, z,; (

6) principal axes v, f. where a and b are constants. The equation of the

**neutral****axis**y' = 0 now is expressed as <rl = 0 = ay + 62 or ?/ = — ^ 2 (14.9:5) Ordinarily,...

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angle applied assemblage axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cross section cylinder dashpot deflection diameter direction displacement elastic-perfectly plastic elongation equation of virtual equations of equilibrium factor of safety free-body sketch 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 principal stresses Prob problem pure bending radial radius ratio rotation shaft shear center shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel strain rate stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled thickness time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress zero