## Strength of Materials |

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Page 10

Using the double-angle trigonometric identities and equating the derivatives with

satisfied when 0 = 45° or 135°. The second one is satisfied when 0 = 0 or 90°.

Using the double-angle trigonometric identities and equating the derivatives with

**zero**, the results are ^ = ffBcos20 = 0, ^ = -<JB sin 20 = 0 The first of these issatisfied when 0 = 45° or 135°. The second one is satisfied when 0 = 0 or 90°.

Page 188

The qualitative view of the shear flow distribution over the cross section of the

channel is shown in Fig. 7-23b. The shear flow is

increases to a maximum at B, and gradually decreases to

distribution ...

The qualitative view of the shear flow distribution over the cross section of the

channel is shown in Fig. 7-23b. The shear flow is

**zero**at point A, graduallyincreases to a maximum at B, and gradually decreases to

**zero**at point C. Thedistribution ...

Page 268

An additional condition is that the beam has

is caused by the moments A/0. The moment is calculated by equating the slope at

the end of a simply supported beam (M0 = 0) with that under A/0 only (Fig.

An additional condition is that the beam has

**zero**slope at the ends and that thisis caused by the moments A/0. The moment is calculated by equating the slope at

the end of a simply supported beam (M0 = 0) with that under A/0 only (Fig.

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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