## Strength of Materials |

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Page 47

The center of the circle has coordinates 3.5 and 0, and the

= 5.7. The required strains are f1 = center of circle +

of circle -

The center of the circle has coordinates 3.5 and 0, and the

**radius**is \/4.52 + 3.52= 5.7. The required strains are f1 = center of circle +

**radius**= 0.00092 f2 = centerof circle -

**radius**= -0.00022 }%.x = 2 (**radius**) = 0.001 14 The principal strain f, ...Page 213

8-2b where p is the local

4) p LI By definition, \ip is the curvature of a line. The

readily obtained from Eq. 8-4. EXAMPLE 8-1 Thin fibers of smooth, pure silica are

...

8-2b where p is the local

**radius**of curvature. From Eq. 8-2, The result is — = ^ (8-4) p LI By definition, \ip is the curvature of a line. The

**radius**of curvature p isreadily obtained from Eq. 8-4. EXAMPLE 8-1 Thin fibers of smooth, pure silica are

...

Page 337

Solution The center of Mohr's circle is at and its

are ffi = center +

safety, ...

Solution The center of Mohr's circle is at and its

**radius**is The principal stressesare ffi = center +

**radius**= 150 MPa a '2 = center -**radius**= -100 MPa Tm.x =**radius**= 125 MPa According to the maximum normal stress theory, the factor ofsafety, ...

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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