## Strength of Materials |

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Page 280

you to help him design a new pole, which has to be lighter than those available

commercially. It has to be superior to others as a spring and it should be strong

so ...

**BUCKLING**. Imagine that a friend hopes to be a champion pole-vaulter. He asksyou to help him design a new pole, which has to be lighter than those available

commercially. It has to be superior to others as a spring and it should be strong

so ...

Page 288

What are the

wave and full sine wave, respectively)? £= 30 x 106 psi. Solution = L = 20(12) in.,

/ = -(fl* - Rf) = 0.0395 in4 In the first mode, n - 1, and _ *' x 107)(0.0395) 2402 _ ,m

...

What are the

**buckling**loads in the first and second mode of**buckling**(half sinewave and full sine wave, respectively)? £= 30 x 106 psi. Solution = L = 20(12) in.,

/ = -(fl* - Rf) = 0.0395 in4 In the first mode, n - 1, and _ *' x 107)(0.0395) 2402 _ ,m

...

Page 289

INELASTIC

stresses, the Euler equation may not be useful for determining the critical load.

The reason is that £ in the equation means a linear relationship between stress

and ...

INELASTIC

**BUCKLING**If the material of a column is not ideally elastic at allstresses, the Euler equation may not be useful for determining the critical load.

The reason is that £ in the equation means a linear relationship between stress

and ...

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### Common terms and phrases

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