## Strength of Materials |

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Page 8

It is often reasonable to ignore the sign conventions for shear stress and to

concentrate on consistency in using signs throughout the

problem. EXAMPLE 1-1 A bracket is to be fastened with a single bolt to a wall.

The maximum ...

It is often reasonable to ignore the sign conventions for shear stress and to

concentrate on consistency in using signs throughout the

**solution**of eachproblem. EXAMPLE 1-1 A bracket is to be fastened with a single bolt to a wall.

The maximum ...

Page 48

maximum shear strain is the diameter of Mohr's circle in Fig. 2-6, ym.x = 0.001 rad

. ey =-0.001 Fig. 2-6. Example 2-5. EXAMPLE 2-6 What are the principal strains

in a ...

**Solution**The principal strains are the measured axial strains, f x and fy. Themaximum shear strain is the diameter of Mohr's circle in Fig. 2-6, ym.x = 0.001 rad

. ey =-0.001 Fig. 2-6. Example 2-5. EXAMPLE 2-6 What are the principal strains

in a ...

Page 49

Fig. 2-8. Example 2-7.

and may be reasonably accurate. A circle should be drawn as in Fig. 2-8, going

through the given points (fy, yxyl2) and (f , , 0) and with its center on the fe axis.

Fig. 2-8. Example 2-7.

**Solution**(a) A graphical**solution**using trial and error is fastand may be reasonably accurate. A circle should be drawn as in Fig. 2-8, going

through the given points (fy, yxyl2) and (f , , 0) and with its center on the fe axis.

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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