Machine Design Databook, Second Edition

Chapter 10: Rotating Disks and Cylinders

SYMBOLS [1]

g

acceleration due to gravity, m/s 2 (ft/s 2)

r

any radius, m (in)

r i

inside radius, m (in)

r o

outside radius, m (in)

h

thickness of disk at radius r from the center of rotation, m (in)

h 2

thickness of disk at radius r 2 from the center of rotation, m (in)

?

uniform tensile stress in case of a disk of uniform strength, MPa (psi)

? ?

tangential stress, MPa (psi)

? r

radial stress, MPa (psi)

? z

axial stress or longitudinal stress, MPa (psi)

?

density of material of the disk, kg/m 3 (lb m/in 3)

?

angular speed of disk, rad/s

?

Poisson's ratio

Particular

Formula

[1]Lingaiah, K., and B. R. Narayana Iyengar, Machine Design Data Handbook, Volume I (SI and Customary Metric Units), Suma Publishers, Bangalore, 1986.

DISK OF UNIFORM STRENGTH ROTATING AT ? rad/s (Fig. 10-1)


Figure 10-1: High-speed rotating disk of uniform strength.

The thickness of a disk of uniform strength at radius r from center of rotation


SOLID DISK ROTATING AT ? rad/s

The general expression for the radial stress of a rotating disk of uniform thickness


The general expression for the tangential stress of a rotating disk of uniform thickness


The maximum values of stresses are at the center, where r = 0, and are equal to each...

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