## Design of machine and structural partsVery Good,No Highlights or Markup,all pages are intact. |

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Page 74

The membrane analogy is developed from the fact that the

for the stress function of a cross section for a torqued bar has the same form as

the

The membrane analogy is developed from the fact that the

**differential**equationfor the stress function of a cross section for a torqued bar has the same form as

the

**differential**equation for the shape of a stretched membrane, originally flat, ...Page 75

The

torsionally loaded bar is given by [25, p. 295] d26 d2d> (6-2) where <t> is called

the stress function of x and y and 6 is the angle of twist per unit length. Equations

(6-1) ...

The

**differential**equation of the shear stress function of a cross section for atorsionally loaded bar is given by [25, p. 295] d26 d2d> (6-2) where <t> is called

the stress function of x and y and 6 is the angle of twist per unit length. Equations

(6-1) ...

Page 111

293]: u = y + jz The

jt EI du dx = 0 (8-18) (8-19) The general solution to this first-order

equation in terms of du /dx is Integrating Eq. (8-20) yields u — AEI L T J sin cos l ...

293]: u = y + jz The

**differential**equation for torsion deflection is [8, p. 293] d^u dx2jt EI du dx = 0 (8-18) (8-19) The general solution to this first-order

**differential**equation in terms of du /dx is Integrating Eq. (8-20) yields u — AEI L T J sin cos l ...

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### Contents

INTRODUCTION TO FORM DESIGN | 1 |

EFFICIENT AND INEFFICIENT STRESS PATTERNS | 27 |

DESIGNING FOR RIGIDITY | 35 |

Copyright | |

13 other sections not shown

### Common terms and phrases

avoirdupois bending stress body bolt cantilever beam Celsius compression compressive stress Considerations of Stress contact area contact stresses contact surface cross section cross-sectional area crowned tooth cylinders deflection deformation determined diameter effect efficient energy storage Engineering Considerations equations example flow of force force flow free-body diagram geometry given Hertz Hertz contact stress hole hollow shaft inch inefficient stress patterns inertia Isochromatic pattern joint elements joule Juvinall keyway kilogram lbf/in load distribution machine and structural material maximum stress membrane analogy meter3 modulus of elasticity neutral axis newton normal stress notch plate portion pressure distribution principle radius relative stiffness rigidity rivet round bar second mean solar shape refinement shear stress shown in Figure shows solid shaft splines spot contact spring constant spring model sprocket static stiffeners strength strength of materials stress concentration stress distribution tensile tensile stress threads torque transverse shear tube uniform shear uniform stress