FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119803645
Author: Sonntag
Publisher: WILEY
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Chapter 1, Problem 1.46P
A differential pressure gauge mounted on a vessel shows
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2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 32: 1. The
pressure angle is 14½. It transmits 5 kW at 1800 r.p.m. of pinion. Considering only strength, design
the smallest diameter gears and find also necessary face width. The number of teeth should not be less
than 15 teeth on either gear. The elastic strength of bronze may be taken as 84 MPa and of steel as 105
MPa. Lewis factor for 14½½ pressure angle may be taken
0.684
0.124
y =
No. of teeth
as
[Ans. m 3 mm; b= 35 mm; Dp = 48 mm; D= 168 mm]
Q2. Determine the safety factors for the bracket rod shown in Figure 2 based on both the
distortion-energy theory and the maximum shear theory and compare them.
Given: The material is 2024-T4 aluminum with a yield strength of 47 000 psi.
The rod length /= 6 in. and arm a = 8 in. The rod outside diameter od 1.5 in., id = 1 in, h=2 in.,
t=0.5 in., Load F= 1000 lb.
Assumptions: The load is static and the assembly is at room temperature. Consider
shear due to transverse loading as well as other stresses. (Note: solve in SI units)
wall
tube
Figure 2
arm
The question has been set up with all the cuts needed to accurately derive expressions for V(x) and M(x). Using the cuts free body diagrams set up below, derive expressions for V(x) and M(x). If you use the method of cuts then validate your answers using calculus or vice versa.
Chapter 1 Solutions
FUNDAMENTALS OF THERMODYNAMICS
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