1 answer

A journal bearing 4 inches in diameter and 4 inches long has a radial clearance of...

Question:

A journal bearing 4 inches in diameter and 4 inches long has a radial clearance of 0.002 inches. It rotates at 2000 rpm and is lubricated is SAE 10 oil at 200F. In the following, use an applied load of 225 lbs and neglect temperature rise.

a. Estimate the power loss and the friction torque using the Petrov equation. Calculate the coefficient of friction.
b. Calculate the minimum clearance, the power loss, friction torque and the coefficient of friction using the charts in section 12-8 of the text.

Figures in section 12-8:

I/d=00 (dimensionless) Minimum film thickness variable Eccentricity ratio e (dimensionless) 1.0 10 0.01 0.02 0.04 0.06 0.08 0

Page 642 (deg) Position of minimum film thickness 0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 0.81.0 2 4 6 8 10 Bearing characteristi

f (dimensionless) X Coefficient-of-friction variable 0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 0.8 1.0 2 4 6 8 10 Bearing characterPage 643 dimensionless) Flow variable 0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 0.8 1.0 2 4 6 8 10 Bearing characteristic number, S

Page 644 Maximum-film-pressure ratio proposis) 0 0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 0.8 1.0 2 4 6 8 10 Bearing characteristi

(deg) , (deg) Terminating position of film Position of maximum film pressure 10 0.01 0.02 0.04 0.06 0.08 0.1 0.2 0.4 0.6 0.8

I/d=00 (dimensionless) Minimum film thickness variable Eccentricity ratio e (dimensionless) 1.0 10 0.01 0.02 0.04 0.06 0.08 0.1 0.2 0.4 0.6 0.8 1.0 6 8 Bearing characteristic number, S=0 " Figure 12-15 Chart for minimum film thickness variable and eccentricity ratio. (Source: A A. Raimondi and John Boyd, “A Solution for the Finite Journal Bearing and Its Application to Analysis and Design, Parts I, II, and III," Trans. ASLE. vol. 1, no. 1, in Lubrication Science and Technology, Pergamon, New York, 1958, pp. 159-209.)
Page 642 (deg) Position of minimum film thickness 0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 0.81.0 2 4 6 8 10 Bearing characteristic number, S=2 4 Figure 12-16 Chart for determining the position of the minimum film thickness ho. (Source: A A. Raimondi and John Boyd, “A Solution for the Finite Journal Bearing and Its Application to Analysis and Design, Parts I, II, and III,” Trans. ASLE. vol. 1, no. 1, in Lubrication Science and Technology, Pergamon, New York, 1958, pp. 159-209.)
f (dimensionless) X Coefficient-of-friction variable 0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 0.8 1.0 2 4 6 8 10 Bearing characteristic number, S- Figure 12-17 Chart for coefficient-of-friction variable; note that Petroff's equation is the asymptote. (Source: A A. Raimondi and John Boyd, “A Solution for the Finite Journal Bearing and Its Application to Analysis and Design, Parts I, II, and III," Trans. ASLE. vol. 1, no. 1, in Lubrication Science and Technology, Pergamon, New York, 1958, pp. 159–209.)
Page 643 dimensionless) Flow variable 0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 0.8 1.0 2 4 6 8 10 Bearing characteristic number, S = (5) N Figure 12-18 Chart for total flow variable. Note: Not for pressure-fed bearings. (Source: A A. Raimondi and John Boyd, "A Solution for the Finite Journal Bearing and Its Application to Analysis and Design, Parts I, II, and III," Trans. ASLE. vol. 1, no. 1, in Lubrication Science and Technology, Pergamon, New York, 1958, pp. 159-209.) d=114 How ratio 1/d=00 0 0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 1.0 2 4 6 8 10 Bearing characteristic number, S=( Figure 12-19 Chart for determining the ratio of side flow to total flow. (Source: A A. Raimondi and John Boyd, "A Solution for the Finite Journal Bearing and Its Application to Analysis and Design, Parts I, II, and III," Trans. ASLE. vol. 1, no. 1, in Lubrication Science and Technology, Pergamon, New York, 1958, pp. 159-209.)
Page 644 Maximum-film-pressure ratio proposis) 0 0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 0.8 1.0 2 4 6 8 10 Bearing characteristic number, S- Figure 12-20 Chart for determining the maximum film pressure. Note: Not for pressure-fed bearings. (Source: A A. Raimondi and John Boud. "A Solution for the finite Journal Bearing and Its Application to Analysis and Design, Parts I, II, and III," Trans. ASLE. vol. 1, no. 1, in Lubrication Science and Technology, Pergamon, New York, 1958, pp. 159-209.)
(deg) , (deg) Terminating position of film Position of maximum film pressure 10 0.01 0.02 0.04 0.06 0.08 0.1 0.2 0.4 0.6 0.8 10 4 6 8 Bearing characteristic number, S= 2 . Figure 12-21 Chart for finding the terminating position of the lubricant film and the position of maximum film pressure. (Source: A A. Raimondi and John Boyd, "A Solution for the Finite Journal Bearing and Its Application to Analysis and Design. Parts I, II and III," Trans. ASLE. vol. 1, 110.1, in Lubrication Science and Technology, Pergamon, New York, 1958, pp. 159-209.)

Answers

The detailed solution is given below:

ama Giveno dmex = 4in , N= 2000rpm Cmin = 0.002 in b- Ain | W= 225665 ) T= 200°F # Cm = bundmax = 0.002 .: bmin = 4.004. #r=

# The coefficient of friction : -> f = 27°UN X Y =(22)X(0.74x10^^) x (33.33)x (looo) (14.0625) -0.0346 # The fractional torqu

# The frictional torque: → T=fxwx8 = (0.00333) x (225)x(2) - 1.4985 8bf. # The power loss; → Pas = TN = (14985 1X(33.33) - 10

.

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