
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN: 9781337399128
Author: Russell E. Smith
Publisher: Cengage Learning
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Textbook Question
Chapter 8, Problem 32RQ
True or False: All starting apparatuses are mounted externally to the hermetic compressor shell.
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5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces.
The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2)
is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this
gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2.
(a) Find the revolution speed of gear 5.
(b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue.
(c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress).
(d) According to the computation results of the questions (b) and (c), explain the possible failure
mechanisms for each gear.
N4=28
800rpm
N₁=43
N5=34
N₂=14
P(diameteral pitch)=8 for all gears
Coupled to 2.5hp motor
1. The rotating steel shaft is simply supported by bearings at points of B and C, and is driven by a spur
gear at D, which has a 6-in pitch diameter. The force F from the drive gear acts at a pressure angle of
20°. The shaft transmits a torque to point A of TA =3000 lbĘ in. The shaft is machined from steel with
Sy=60kpsi and Sut=80 kpsi.
(1) Draw a shear force diagram and a bending moment diagram by F. According to your analysis, where is
the point of interest to evaluate the safety factor among A, B, C, and D? Describe the reason. (Hint: To find
F, the torque Tд is generated by the tangential force of F (i.e. Ftangential-Fcos20°)
When n=2.5, K=1.8, and K₁ =1.3, determine the diameter of the shaft based on
(2) static analysis using DE theory (note that fatigue stress concentration factors need to be used for this
question because the loading condition is fatigue) and
(3) a fatigue analysis using modified Goodman.
Note) A standard diameter is not required for the questions.
10 in
D
3
N2=28
P(diametral pitch)=8 for all gears
Coupled to 25 hp motor
N3=34
Full depth spur gears with pressure angle=20°
N₂=2000 rpm
(1) Compute the circular pitch, the center-to-center distance, and base circle radii.
(2) Draw the free body diagram of gear 3 and show all the forces and the torque.
(3) In mounting gears, the center-to-center distance was reduced by 0.1 inch.
Calculate the new values of center-to-center distance, pressure angle, base circle radii,
and pitch circle diameters.
(4)What is the new tangential and radial forces for gear 3?
(5) Under the new center to center distance, is the contact ratio (mc) increasing or
decreasing?
Chapter 8 Solutions
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
Ch. 8 - What is magnetism?
Ch. 8 - How is an electromagnet produced?
Ch. 8 - Which of the following correctly lists the motor’s...Ch. 8 - Prob. 14RQCh. 8 - Prob. 15RQCh. 8 - Prob. 16RQCh. 8 - Prob. 17RQCh. 8 - Prob. 18RQCh. 8 - Prob. 19RQCh. 8 - Prob. 20RQ
Ch. 8 - Prob. 21RQCh. 8 - What is the unit of measurement for the strength...Ch. 8 - Prob. 23RQCh. 8 - Prob. 24RQCh. 8 - List the five capacitor replacement rules.
Ch. 8 - Prob. 26RQCh. 8 - Prob. 27RQCh. 8 - What are the advantages and disadvantages of using...Ch. 8 - Prob. 29RQCh. 8 - Prob. 30RQCh. 8 - Prob. 31RQCh. 8 - True or False: All starting apparatuses are...Ch. 8 - Prob. 33RQCh. 8 - Which of the following is the capacitance of an...Ch. 8 - Which of the following is the capacitance of two...Ch. 8 - If a capacitor produces 15 ampere on a 240-volt...Ch. 8 - Which of the following capacitors could be used to...Ch. 8 - Which of the following capacitors could be used to...Ch. 8 - Which of the following capacitors or combination...Ch. 8 - Which of the following capacitors or combination...Ch. 8 - Find the common, start, and run terminals of the...Ch. 8 - Briefly explain the procedure for troubleshooting...Ch. 8 - What are the electrical failure categories for...Ch. 8 - What precautions should be taken when checking...Ch. 8 - True or False: The control module determines the...Ch. 8 - Explain the operation of the direct current motor...Ch. 8 - Prob. 47RQCh. 8 - Prob. 48RQCh. 8 - Explain the construction of an ECM.
Ch. 8 - An ECM is a __________.
three-phase, AC...Ch. 8 - True or False: The resistance readings of the...Ch. 8 - True or False: The line voltage power supply of an...
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