## Strength of Materials |

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Page 15

1-9b. A reasonable simplification of this diagram is shown in Fig. 1-9c. The faces

of the triangular element* are numbered as before, and the area of face 1 is

made equal to unity for convenience. The equilibrium

the ...

1-9b. A reasonable simplification of this diagram is shown in Fig. 1-9c. The faces

of the triangular element* are numbered as before, and the area of face 1 is

made equal to unity for convenience. The equilibrium

**equations**for the forces onthe ...

Page 18

MOHR'S CIRCLE The transformation

they are, but they can be manipulated to obtain a more powerful method of stress

analysis. The manipulation involves squaring Eq. 1-8 and 1-9, adding the

resulting ...

MOHR'S CIRCLE The transformation

**equations**for plane stress are useful asthey are, but they can be manipulated to obtain a more powerful method of stress

analysis. The manipulation involves squaring Eq. 1-8 and 1-9, adding the

resulting ...

Page 45

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

0) which can be simplified using trigonometric identities to (2-5)

and 2-5 are the transformation

...

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

0) which can be simplified using trigonometric identities to (2-5)

**Equations**2-4and 2-5 are the transformation

**equations**for strain, and they are identical in form...

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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