Engineering Your Future
9th Edition
ISBN: 9780190279264
Author: William C. Oakes, Les L. Leone
Publisher: Oxford University Press, USA
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Chapter 1, Problem 1.3EAA
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This problem illustrates that the factor of safety for a machine element depends on the particular point selected for
analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and
B of the member shown in the figure. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces
F = 1.100 kN, P = 8.00 kN, and T = 50.00 N-m. Given: Sy = 280 MPa.
B
-100 mm-
15-mm D.
a) Determine the value of the axial stress at point B.
b) Determine the value of the shear stress at point B.
c) Determine the value of the Von Mises stress at
point B.
P
F
A piston-cylinder device initially contains 0.08 m^3 of nitrogen gas at 130
kPa and 170°C. The nitrogen is expanded to a pressure of 80 kPa via
isentropic expansion. Determine the final temperature and the boundary
work done by the system during this process.
A Carnot (ideal) heat pump is to be used to heat a house and maintain it at 22°C
in winter. On a day when the average outdoor temperature remains at about 0°C,
the house is estimated to lose heat at a rate of 65,000 kJ/h. If the heat pump
consumes 6 kW of power while operating, determine:
(a) how long the heat pump ran on that day
(b) the total heating costs, assuming an average price of 11¢/kWh for electricity
(c) the heating cost for the same day if an 85% efficient electric furnace is used
instead of a heat pump.
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