Precision Machining Technology (MindTap Course List)

2nd Edition

ISBN: 9781285444543

Author: Peter J. Hoffman, Eric S. Hopewell, Brian Janes

Publisher: Cengage Learning

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Chapter 5.5, Problem 2RQ

What is the difference between an included angle and a centerline angle?

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Chapter 5.5, Problem 1RQ

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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 5 Solutions

Precision Machining Technology (MindTap Course List)

Ch. 5.1 - List the four main parts of the engine lathe.Ch. 5.1 - What are the two main purposes of the lathe...Ch. 5.1 - What part of the lathe is used to set the feed...Ch. 5.1 - Prob. 4RQ Ch. 5.1 - Prob. 5RQ Ch. 5.1 - What is the purpose of the leads crew of a lathe?Ch. 5.1 - What two functions can the lathe tailstock...Ch. 5.1 - The standard taper in most lathe tailstocks is the...Ch. 5.1 - Define the swing and the bed length of a lathe.Ch. 5.2 - What is the special name for the type of jaw-type...

Ch. 5.2 - The most common variation of the above chuck has...Ch. 5.2 - Name two material shapes that can be properly held...Ch. 5.2 - List two advantages of using a self-centering...Ch. 5.2 - Name two material shapes that can be properly held...Ch. 5.2 - List three benefits of holding a workpiece between...Ch. 5.2 - List three potential advantages of using an...Ch. 5.2 - List three characteristics of a workpiece that...Ch. 5.2 - What type of mandrel would be ideal for gripping a...Ch. 5.2 - Name the type of tailstock center that raid be...Ch. 5.2 - What two auxiliary devices can be used to...Ch. 5.2 - Explain the differences between the two auxiliary...Ch. 5.2 - Name the device that is used to transmit the...Ch. 5.2 - Which two tool posts are the most efficient if...Ch. 5.2 - Which device may be used for either toolholding or...Ch. 5.3 - If a 0.050" depth of cut is taken on the diameter...Ch. 5.3 - A lathe cross slide uses a diameter-reading...Ch. 5.3 - In what units are feed rates measured for lathe...Ch. 5.3 - Are deeper cuts used for roughing or finishing...Ch. 5.3 - Calculate spindle RPM and machining time for...Ch. 5.3 - List three safety precautions related to clothing...Ch. 5.3 - What two materials are most commonly used for...Ch. 5.3 - What feature of a lathe cutting tool has a direct...Ch. 5.3 - Is a left-hand or right-hand tool normally used...Ch. 5.3 - What part of the lathe is used to feed the tool...Ch. 5.3 - When facing, why should the tool not be fed past...Ch. 5.3 - Should a left-hand or right-hand tool be used when...Ch. 5.3 - When and how should chips he removed from the work...Ch. 5.3 - What are two reasons for center drilling on the...Ch. 5.3 - When drilling and reaming on the lathe, how are...Ch. 5.3 - How can hole depth be controlled during drilling...Ch. 5.3 - What are two reasons boring may be selected to...Ch. 5.3 - Why must extra care be taken when performing...Ch. 5.3 - How can a tap be aligned when threading a hole on...Ch. 5.3 - Briefly define form cutting.Ch. 5.3 - How do grooving and cutoff speeds compare to...Ch. 5.3 - How can tool binding be overcome when cutting deep...Ch. 5.3 - List the two basic knurl patterns.Ch. 5.3 - How is knurling different from other lathe...Ch. 5.3 - List and briefly describe the two different types...Ch. 5.4 - The distance of actual contact of two mating...Ch. 5.4 - What feature of mating threads determines the...Ch. 5.4 - How many classes of fit are there in the Unified...Ch. 5.4 - Determine the major diameter limits for the...Ch. 5.4 - Determine the minor diameter limits for the...Ch. 5.4 - Determine the pitch diameter limits for the...Ch. 5.4 - Determine the approximate compound-rest in-feed...Ch. 5.4 - What is the name for the rotating device that...Ch. 5.4 - When threading, what is the reason for feeding the...Ch. 5.4 - Prob. 10RQ Ch. 5.4 - Why should the depth of cut be reduced for each...Ch. 5.4 - What dimension of the thread is measured by using...Ch. 5.4 - What measuring tool is used to visually inspect...Ch. 5.4 - List two applications of Acme threads.Ch. 5.4 - What type of thread is machined on a tapered...Ch. 5.5 - Briefly define a taper.Ch. 5.5 - What is the difference between an included angle...Ch. 5.5 - What does TPI stand for in relation to tapers?Ch. 5.5 - What are the TPI and TPF of a part with end...Ch. 5.5 - What are the corresponding centerline and included...Ch. 5.5 - What is the corresponding centerline angle of a...Ch. 5.5 - What is the limitation of the tool bit taper...Ch. 5.5 - What must be known to use the compound-rest taper...Ch. 5.5 - What taper turning methods allow use of the lathes...Ch. 5.5 - What two steps can be taken to eliminate backlash...Ch. 5.5 - The TPI specified on a print is 0.030". If...Ch. 5.5 - If TPF is 0.42", how much movement should register...Ch. 5.5 - What is the benefit of using the offset tailstock...Ch. 5.5 - What are two ways to reduce uneven pressure on...Ch. 5.5 - Calculate tailstock setover for a 13.5" part with...

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