The bicycle axle shown below supports the weight of the frame on each side of 800 N. The axle is a hollow steel ( = 300 MPa) tube with inner and outer diameters 10 mm and 7.1 mm. The axle is supported by two ball bearing races in the hub shell. The quick-release mechanism creates an axial clamping force of 2800 N.   (a) Draw the shear and bending moment diagrams and determine the values of M and V at critical points. (b) Analyze a point on the bottom of the axle just to the right of the bearing at point C. Calculate the safety factor against yielding using the maximum shear stress criterion. (c) Now analyze a point on the side of the axle just to the right of the bearing at point C. Calculate the safety factor against yielding using the maximum shear stress criterion. (If relevant) A clearly labeled diagram (or diagrams) about your analysis with a coordinate system and relevant labels. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The bicycle axle shown below supports the weight of the frame on each side of 800 N. The axle is a hollow steel ( = 300 MPa) tube with inner and outer diameters 10 mm and 7.1 mm. The axle is supported by two ball bearing races in the hub shell. The quick-release mechanism creates an axial clamping force of 2800 N.
 
(a) Draw the shear and bending moment diagrams and determine the values of M and V at critical points.
(b) Analyze a point on the bottom of the axle just to the right of the bearing at point C. Calculate the safety factor against yielding using the maximum shear stress criterion.
(c) Now analyze a point on the side of the axle just to the right of the bearing at point C. Calculate the safety factor against yielding using the maximum shear stress criterion.
  1. (If relevant) A clearly labeled diagram (or diagrams) about your analysis with a coordinate system and relevant labels.
  2. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results
  3. A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?
800 N
A
-20 mm-
X
Ball bearings
70 mm
C
800 N
40 mm
D
2800
2000 N
Transcribed Image Text:800 N A -20 mm- X Ball bearings 70 mm C 800 N 40 mm D 2800 2000 N
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