A gear is fixed on a shaft through a tight assembly. The diameters of the gear and shaft at the contacting surface are 50 -0.015 –0.030 mm and 50+0.022 +0.012 mm, respectively. Shaft 050 mm 080 mm Gear L= 50 Both gear and shaft have the same material, i.e., elastic modulus E = 200 000 MPa and Poisson's ratio v = 0.3. The shaft is solid. The gear in calculation can be treated as a ring with an outer diameter of 80 mm. The width of the contacting surface, L = 50 mm. Determine the maximum radial interference o of the assembly? Hint: Review the press and shrink fits. O 0.026 mm O 0.013 mm O 0.018 mm O 0.012 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.7.12P
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A gear is fixed on a shaft through a tight assembly. The diameters of the
gear and shaft at the contacting surface are 50 0.015
-0.030
mm and 50+0.022
P+0.012
mm, respectively.
Shaft
$50 mm
480 mm
Gear
L= 50
Both gear and shaft have the same material, i.e., elastic modulus E = 200
000 MPa and Poisson's ratio v = 0.3. The shaft is solid. The gear in
calculation can be treated as a ring with an outer diameter of 80 mm. The
width of the contacting surface, L = 50 mm.
Determine the maximum radial interference d of the assembly?
Hint: Review the press and shrink fits.
0.026 mm
0.013 mm
0.018 mm
O 0.012 mm
Transcribed Image Text:A gear is fixed on a shaft through a tight assembly. The diameters of the gear and shaft at the contacting surface are 50 0.015 -0.030 mm and 50+0.022 P+0.012 mm, respectively. Shaft $50 mm 480 mm Gear L= 50 Both gear and shaft have the same material, i.e., elastic modulus E = 200 000 MPa and Poisson's ratio v = 0.3. The shaft is solid. The gear in calculation can be treated as a ring with an outer diameter of 80 mm. The width of the contacting surface, L = 50 mm. Determine the maximum radial interference d of the assembly? Hint: Review the press and shrink fits. 0.026 mm 0.013 mm 0.018 mm O 0.012 mm
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