A 1-in-diameter (D = 1 inch) rotating machined shaft has a groove 0.1-in deep with a 0.1-in radius machined into it. The shaft is subjected to a pulsating (i.e. R = 0) torque and bending moment of following values. Based on laboratory experiments at 550°F, Sut = 150 ksi, S, = 120 ksi, and S'e = 90 ksi are measured. Using mod-Goodman equation and for operating temperature of 550°F and 90% reliability, determine the factor of safety for yielding and fatigue of this shaft. Tmax = 2000 lb-in Mmax = 1600 lb-in Mmin = -1200 Ib-in

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 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...
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A 1-in-diameter (D = 1 inch) rotating machined shaft has a groove 0.1-in deep with a 0.1-in radius
machined into it. The shaft is subjected to a pulsating (i.e. R = 0) torque and bending moment of
following values. Based on laboratory experiments at 550°F, Sut = 150 ksi, Sy = 120 ksi, and S'e = 90
ksi are measured. Using mod-Goodman equation and for operating temperature of 550°F and 90%
reliability, determine the factor of safety for yielding and fatigue of this shaft.
Tmax = 2000 Ib-in
Mmax = 1600 lb-in
Mmin = -1200 Ib-in
D
- -d-
M
T
M
T
Transcribed Image Text:A 1-in-diameter (D = 1 inch) rotating machined shaft has a groove 0.1-in deep with a 0.1-in radius machined into it. The shaft is subjected to a pulsating (i.e. R = 0) torque and bending moment of following values. Based on laboratory experiments at 550°F, Sut = 150 ksi, Sy = 120 ksi, and S'e = 90 ksi are measured. Using mod-Goodman equation and for operating temperature of 550°F and 90% reliability, determine the factor of safety for yielding and fatigue of this shaft. Tmax = 2000 Ib-in Mmax = 1600 lb-in Mmin = -1200 Ib-in D - -d- M T M T
Q7. Consider water boiling in an Aluminium pan. The base surface of the pan is dissipating
800 kW/m2 of heat flux. a) The pan is open to atmosphere. Estimate the diameter of the bubbles
formed at the base surface of the pan and the characteristic velocity of fluid agitation. b) Now
the pan is closed from top and connected to a vacuum pump such that the pressure in the pan
is reduced to 0.5 atm. How does your estimate for bubble diameter and fluid agitation velocity
change in this case. c) For case a, calculate the exact diameter of the bubble if the bubble can
be assumed to be hemispherical and the contact angle between water and aluminium is 60°.
Transcribed Image Text:Q7. Consider water boiling in an Aluminium pan. The base surface of the pan is dissipating 800 kW/m2 of heat flux. a) The pan is open to atmosphere. Estimate the diameter of the bubbles formed at the base surface of the pan and the characteristic velocity of fluid agitation. b) Now the pan is closed from top and connected to a vacuum pump such that the pressure in the pan is reduced to 0.5 atm. How does your estimate for bubble diameter and fluid agitation velocity change in this case. c) For case a, calculate the exact diameter of the bubble if the bubble can be assumed to be hemispherical and the contact angle between water and aluminium is 60°.
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