DeGarmo's Materials and Processes in Manufacturing
DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Chapter 31, Problem 26RQ

Why is the involute form used for gear teeth?

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CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE 1.  The truss shown is supported by hinge at A and cable at E.Given: H = 4m, S = 1.5 m, α = 75⁰, θ = 33⁰.Allowable tensile stress in cable = 64 MPa.Allowable compressive stress in all members = 120 MPaAllowable tensile stress in all members = 180 MPa1.Calculate the maximum permissible P, in kN, if the diameter of the cable is 20 mm.2.If P = 40 kN, calculate the required area (mm2) of member BC.3. If members have solid square section, with dimension 15 mm, calculate the maximum permissible P (kN) based on the allowable strength of member HI.ANSWERS: (1) 45.6 kN; (2) 83.71 mm2; (3) 171.76 kN
CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE 2: A wire 4 meters long is stretched horizontally between points 4 meters apart. The wire is 25 mm2 in cross-section with a modulus of elasticity of 200 GPa. A load W placed at the center of the wire produces a sag Δ.1.Calculate the tension (N) in the wire if sag Δ = 30 mm.2.Calculate the magnitude of W, in N, if sag Δ = 54.3 mm.3. If W is 60 N, what is the sag (in mm)?ANSWERS: (1) 562 N, (2) 100 N, (3) 45.8 N
CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE 4 : A cable and pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position as shown. The cable has tensile force T and is attached at C. The length of the pole is 6.0 m, the outer diameter is d = 140 mm, and the wall thickness t = 12 mm. The pole pivots about a pin at A. The allowable shear stress in the pin is 60 MPa and the allowable bearing stress is 90 MPa. The diameter of the cable is 8 mm.1.Find the minimum diameter (mm) of the pin at A to support the weight of the pole in the position shown.2.Calculate the elongation (mm) of the cable CD.3.Calculate the vertical displacement of point C, in mm.ANSWERS: (1) 6 mm, (2) 1.186 mm, (3) 1.337 mm--

Chapter 31 Solutions

DeGarmo's Materials and Processes in Manufacturing

Ch. 31 - Prob. 11RQCh. 31 - Prob. 12RQCh. 31 - Prob. 13RQCh. 31 - What is the reason for using a taper tap before a...Ch. 31 - Prob. 15RQCh. 31 - Can a fluteless tap be used for threading a hole...Ch. 31 - What provisions should a designer make so that a...Ch. 31 - What is the major advantage of a spiral-point tap?Ch. 31 - Prob. 19RQCh. 31 - Is it desirable for a tapping fluid to have...Ch. 31 - How does thread milling differ from thread...Ch. 31 - What are the advantages of making threads by...Ch. 31 - Prob. 23RQCh. 31 - Prob. 24RQCh. 31 - What is a fluteless tap?Ch. 31 - Why is the involute form used for gear teeth?Ch. 31 - What is the diametral pitch of a gear?Ch. 31 - What is the relationship between the diametral...Ch. 31 - On a sketch of a gear, indicate the pitch circle,...Ch. 31 - What five requirements must be met for gears to...Ch. 31 - What are the advantages of helical gears compared...Ch. 31 - Prob. 32RQCh. 31 - What difficulty would be encountered in bobbing a...Ch. 31 - What is the only type of machine on which...Ch. 31 - Prob. 35RQCh. 31 - Why arent more gears made by broaching?Ch. 31 - What is the most important property of a crown...Ch. 31 - What are three basic processes for machining...Ch. 31 - Which basic gear-machining process is utilized in...Ch. 31 - When a helical gear is machined on a milling...Ch. 31 - Why is a gear-hobbing machine much more productive...Ch. 31 - Prob. 42RQCh. 31 - What are the advantages of cold-roll forming for...Ch. 31 - Prob. 44RQCh. 31 - Under what conditions should shaving not be used...Ch. 31 - Prob. 46RQCh. 31 - Can lapping be used to finish cast iron gears?Ch. 31 - What factors are usually checked in inspecting...Ch. 31 - What are the basic methods for gear finishing?Ch. 31 - A hob that has a pitch diameter of 76.2 mm is used...Ch. 31 - In Figure 31.17, a form-milling operation and...Ch. 31 - A gear-broaching machine can complete the gear in...Ch. 31 - Prob. 4PCh. 31 - If only three gears described in Problem 4 were to...Ch. 31 - Based on the size and shape of the product,...Ch. 31 - What type of engineering materials might be able...Ch. 31 - Prob. 3CS

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