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. FA 20° 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. dshaft

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.3.23P: -23 The beam shown in the figure has a sliding support at A and a roller support at B. The sliding...
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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.
20°
400 mm
Gear A, 600-mm dia.
350 mm
300 mm
B
Gear B, 300-mm dia.
The deflection at point A is
The slope at point A is 0.0041 rad.
2.2 mm.
FR
25°
dshaft
Transcribed Image Text: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. 20° 400 mm Gear A, 600-mm dia. 350 mm 300 mm B Gear B, 300-mm dia. The deflection at point A is The slope at point A is 0.0041 rad. 2.2 mm. FR 25° dshaft
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