## Strength of Materials |

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Page 43

Bela Imre Sandor. 2-3.

side is fixed and a shearing force S is ...

Bela Imre Sandor. 2-3.

**SHEAR STRAIN**Angular distortions are called**shear****strains**. For a model of this, consider the rectangular element in Fig. 2-2. Its lowerside is fixed and a shearing force S is ...

Page 45

Thus, the net change in the angle between the line AB and the line normal to it is

ye = d0 - d<fi, and this defines the

Specifically, yt = d0-d<fi = fx(2 sin 0 cos 0) - f y(2 sin 0 cos 0) + yxy (cos2 0 - sin2 ...

Thus, the net change in the angle between the line AB and the line normal to it is

ye = d0 - d<fi, and this defines the

**shear strain**for the chosen orthogonal lines.Specifically, yt = d0-d<fi = fx(2 sin 0 cos 0) - f y(2 sin 0 cos 0) + yxy (cos2 0 - sin2 ...

Page 46

where fx = axial strain along the x-axis f y = axial strain along the y-&\is (_|_ to x) ft

= axial strain along an arbitrary line inclined by an angle 0 to the x-axis yxy =

line ...

where fx = axial strain along the x-axis f y = axial strain along the y-&\is (_|_ to x) ft

= axial strain along an arbitrary line inclined by an angle 0 to the x-axis yxy =

**shear strain**of originally orthogonal x-^-axes y, =**shear strain**in direction of theline ...

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angle applied Assume axial beam bending brittle buckling calculated caused column compressive stress concrete Consider constant crack cross section cross-sectional area curvature cyclic cylindrical deflection Determine diameter ductile elastic strain element elongation equations equilibrium EXAMPLE extensometer external load factors of safety failure fatigue fibers fracture free-body diagram ft-lb given GPa Fig hardening horizontal implant increase inertia magnitude maximum shear stress maximum stress metal minimum modulus Mohr's circle neutral axis normal stress notch plane plastic deformation plate plot pole pressure Prob problems psi Fig radius residual stresses rivets shaft shear force shear strain shear strength shown in Fig softening Solution specimen static steel strain gages strength of materials stress and strain stress distribution stress-strain curve temperature tensile stress tension thickness torque torsion tube vertical weight weld wire yield strength zero