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Centrifugal Pumps Design and Application 2nd ed - Val S. Lobanoff, Robert R. Ross (Butterworth-Heinemann, 1992)

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352 <strong>Centrifugal</strong> <strong>Pumps</strong>: <strong>Design</strong> <strong>and</strong> <strong>Application</strong><br />

T Torque (Ib-in.)<br />

r Radius of shaft (in.)<br />

J Polar area moment of inertia (in. 4 )<br />

P Power (ft-lb/sec)<br />

w Angular velocity (rad./sec)<br />

D<br />

(with or<br />

without<br />

subscript) Diameter of shaft as indicat<strong>ed</strong> (in.)<br />

N Spe<strong>ed</strong> (RPM)<br />

M Bending moment due to radial hydraulic load (in.-lb)<br />

1<br />

(with or<br />

without<br />

subscript) Moment of inertia of shaft as indicat<strong>ed</strong> (in. 4 ) = ___ wD 4<br />

Se Endurance limit of mechanical element (psi)<br />

S'e Endurance limit of rotating beam specimen (psi)<br />

Ka Surface finish factor<br />

Kc Reliability factor<br />

Ke Stress concentration factor<br />

A Area of shaft cross section (sq in.)<br />

W Impeller weight plus radial thrust (Ib)<br />

E Modulus of elasticity of shaft (psi)<br />

A 2 Distance from centeriine of impeller to centerline of<br />

inboard bearing (in.)<br />

B Bearing span centerline to centerline (in.)<br />

X Distance from centerline of impeller to location on shaft<br />

where deflection is to be calculat<strong>ed</strong> (in.)<br />

bhp Brake horsepower<br />

AI Key shear area (sq in.)<br />

Y Deflection at any point on shaft (in.)<br />

F Force (Ib)<br />

L Useful key length (in.)<br />

Wj Key width (in.)<br />

Axial Thrust<br />

A<br />

(with<br />

subscript)<br />

Area of cross section as indicat<strong>ed</strong> by subscript (sq in.)<br />

= irD 2 /4.

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