A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force Fg at the pressure angle shown. For the steel countershaft specified in the table, find the deflection and slope of the shaft at point A. Use superposition with the deflection equations in Table A-9. Assume the bearings constitute simple supports. In the figure below, FA is 11400 N and the diameter of the shaft (dshaft) is 52 mm. F₁ 01 400 mm 350 mm 300 mm 25°

A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force Fg at the pressure angle shown. For the steel countershaft specified in the table, find the deflection and slope of the shaft at point A. Use superposition with the deflection equations in Table A-9. Assume the bearings constitute simple supports. In the figure below, FA is 11400 N and the diameter of the shaft (dshaft) is 52 mm. F₁ 01 400 mm 350 mm 300 mm 25°

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force
FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a
transmitted force Fg at the pressure angle shown. For the steel countershaft specified in the table, find the deflection and slope of the
shaft at point A. Use superposition with the deflection equations in Table A-9. Assume the bearings constitute simple supports. In the
figure below, FA is 11400 N and the diameter of the shaft (dshaft) is 52 mm.
20⁰
400 mm
Gear A, 600-mm dia.
350 mm
300 mm
Gear B, 300-mm dia.
The deflection at point A is
The slope at point A is 0.0041 rad.
2.2 mm.
25°
✓
dshaft

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Step 1: Given data

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Step 3: (a) Calculate the magnitude of force at point B by using torque equilibrium.

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Step 4: Calculate the deflection at point A in y-direction.

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Step 5: Calculate the deflection at point A in the z-direction.

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Step 6: (b) Calculate the slope at A along the y-direction.

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Step 7: Calculate the slope at A along the z-direction.

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Step 8: slop at A

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