A shaft with a diameter of 51 mm rotates at 1,225 RPM. Three discs are mounted on the shaft, with weight of w =9 N, W, = 26 N and wa= 8 N, respectively, as shown in Figure below. The deflection at the corresponding mounting locations are y, =D 0.305 Va = 0.179 mm, respectively. Calculate the fundamental critical speed (in RPM) using mm, y, = 0.45 mm and Rayleigh's method neglecting shaft properties. Use the value of critical speed in RPM to estimate the factor of safety in terms of critical speed. Enter the factor of safety only as the answer upto 4 digits of decimal. Page 309 yi y3 w3 W1 W2 300 100 150 350

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.7.8P: A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The...
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A shaft with a diameter of 51 mm rotates at 1,225 RPM. Three discs are mounted on the shaft, with weight of w,
=9 N, W2=
%3D
26 N and wa = 8 N, respectively, as shown in Figure below. The deflection at the corresponding mounting locations are y, =
W3
= 0.179 mm, respectively. Calculate the fundamental critical speed (in RPM) using
Уз
0.305 mm, y, =
Y2
0.45 mm and
Rayleigh's method neglecting shaft properties. Use the value of critical speed in RPM to estimate the factor of safety in terms
of critical speed.
Enter the factor of safety only as the answer upto 4 digits of decimal.
Page 309
y3
y2
W3
W1
w2
150
350
300
100
Transcribed Image Text:A shaft with a diameter of 51 mm rotates at 1,225 RPM. Three discs are mounted on the shaft, with weight of w, =9 N, W2= %3D 26 N and wa = 8 N, respectively, as shown in Figure below. The deflection at the corresponding mounting locations are y, = W3 = 0.179 mm, respectively. Calculate the fundamental critical speed (in RPM) using Уз 0.305 mm, y, = Y2 0.45 mm and Rayleigh's method neglecting shaft properties. Use the value of critical speed in RPM to estimate the factor of safety in terms of critical speed. Enter the factor of safety only as the answer upto 4 digits of decimal. Page 309 y3 y2 W3 W1 w2 150 350 300 100
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