PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 8, Problem 5P
The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car if the back brakes are locked, and the front wheels are free to roll. Take, μs = 0.3.
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A wheel of diameter 150.0 mm and width 37.00 mm carrying a load 2.200 kN rolls on a
flat rail. Take the wheel material as steel and the rail material as cast iron. Assume the
figure given, which is based on a Poisson's ratio of 0.3, is applicable to estimate
the depth at which the maximum shear stress occurs for these materials. At this critical
depth, calculate the Hertzian stresses σr, σy, σz, and Tmax for the wheel.
1.0
0.8
0, т
Ratio of stress to Pmax
0.4
0.6
90
69
0.2
0.5b
b
1.5b
Tmax
2b
Distance from contact surface
The Hertizian stresses are as follows:
02 = or = -23.8 psi for the wheel =|
necessary.)
σy for the wheel =|
MPa
σz for the wheel =
MPa
V4 for the wheel = |
MPa
2.5b
ཡི
3b
MPa (Include a minus sign if
Only question 3
Only question 2
Chapter 8 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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