Find the circular tooth thickness.

1. Preliminary design calculations have suggested that design objectives may be met by a straight spur gearset using standard full-depth 2 -pitch involute gear teeth, and a 21-tooth pinion meshing with a 28-tooth gear. A 25 pressure angle has been selected for this application, and the gear teeth are to be shaved to AGMA quality number . Find the following:

a. Addendum.

b. Dedendum.

c. Clearance.

d. Circular pitch.

e. Circular tooth thickness.

f. Base pitch .

g. Length of action.

h. Profile contact ratio.

i. Module 15-27. Repeat problem 15-26, except for a 20 pressure angle.

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How many teeth must F have if all gears have the same diametral pitch?

1. An annular gear A on shaft S1, has 120 teeth and drives a pinion B having 15 teeth, keyed to shaft S2. Compounded with B is a 75-tooth gear C which drives a 20-tooth gear D on shaft S3. Compounded with gear D is gear E having 144 teeth driving gear F on shaft S4. The axis of S4 is collinear with the axis of S1. All shafts are parallel and in the same plane.

(a) How many teeth must F have if all gears have the same diametral pitch?

(b) If S1 is the driving shaft, determine the train ratio.

(c) If the gears have a diametral pitch of 4, what is the distance between shafts S1 and S3?

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What type(s) of gearing would you recommend? State your reasons.

1. For each of the design scenarios presented, suggest one or two types of gears that might make good candidates for further investigation in terms of satisfying the primary design requirements.

a. In the design of a new-concept agricultural hay-conditioner, it is necessary to transmit power from one rotating parallel shaft to another. The input shaft is to rotate at a speed of 1200 rpm and the desired output shaft speed is 350 rpm. Low cost is an important factor. What types(s) of gearing would you recommend? State your reasons.

b. In the design of a special speed reducer for a laboratory test stand, it is necessary to transmit power from one rotating shaft to another. The centerlines of the two shafts intersect. The driver shaft speed is 3600 rpm and the desired speed of the output shaft is 1200 rpm. Quiet operation is an important factor. What types(s) of gearing would you recommend? State your reasons.

c. It is desired to use a 1-hp, 1725-rpm electric motor to drive a conveyer input shaft at a speed of approximately 30 rpm. To give a compact geometry, the motor drive shaft is to be oriented at 90 degrees to the conveyor input shaft. The shaft centerline may either intersect or not, depending on designer judgment. What type(s) of gearing would you recommend? State your reasons.

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Find the numerical value of CF for this type of spring and compare it with the value .

1. Considering a solid square bar of steel with side-dimension s and length-dimension L, would you predict that more elastic strain energy could be stored in the bar (without yielding) by using it as a direct tension spring axially loaded in the L-direction, or by using it as a cantilever-bending spring loaded perpendicular to the L-direction? Make appropriate calculations to support your prediction.

2. a. Write the equations from which the form coefficient CF may be found for a simply supported center-loaded multileaf spring.

b. Find the numerical value of CF for this type of spring and compare it with the value .

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Compute the existing safety factor for this spring based on an infinite-life design criterion. Comment on the results.

1.A helical-coil spring is to be wound using wire made from a proprietary ferrous alloy for which , , , , , and . It is desired to use the spring in a cyclic loading situation where the axial load on the spring during each cycle ranges from 450-N tension to 450-N compression. The spring deflection at maximum load must be 50 mm. A spring with 18 active coils is being proposed for the application.

a. Compute the existing safety factor for this spring based on an infinite-life design criterion. Comment on the results.

b. If the spring is wound so that when it is unloaded the space between coils is the same as the wire diameter, would you expect buckling to be a problem? (Support your answer with appropriate calculations.)

c. Approximately what maximum operating frequency should be specified for this mechanism?

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