Machine Design Databook, Second Edition

Chapter 2: Static Stresses in Machine Elements

SYMBOLS [3], [4], [5]

A

area of cross section, m 2 (in 2)

A w

area of web, m 2 (in 2)

a

constant in Rankine's formula

b

radius of area of contact, m (in) bandwidth of contact, m (in) width of beam, m (in)

c

distance from neutral surface to extreme fiber, m (in)

D

diameter of shaft, m (in)

C 1

constant in straight-line formula

F

load, kN (1bf)

F c

compressive force, kN (1bf)

F t

tensile force, kN (1bf)

F ?

shear force, kN (1bf)

F cr

crushing load, kN (lbf)

e

deformation, total, m (in) eccentricity, as of force equilibrium, m (in) unit volume change or volumetric strain

e t

thermal expansion, m (in)

E

modulus of elasticity, direct (tension or compression), GPa (Mpsi)

E c

combined or equivalent modulus of elasticity in case of composite bars, GPa (Mpsi)

G

modulus of rigidity, GPa (Mpsi)

M b

bending moment, N m (lbf ft)

M t

torque, torsional moment, N m (lbf ft)

i

number of turns

I

moment of inertia, area, m 4 or cm 4 (in 4) mass moment of inertia, N s 2 m (lbf s 2 ft)

I xx, I yy

moment of inertia of cross-sectional area around the respective principal axes, m 4 or cm 4

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