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posted by  srikanth1 on 7/16/2008 3:03:02 PM  |  status: Live  

mechnics of materials

Course Textbook Chapter Problem
Classical Mechanics Engineering Mechanics - Statics 11th by Hibbeler N/A N/A
Question Details:

The shaft shown below has a solid round cross-section and is supported by bearing at A and B.The nominal forces on the gears at C, D and E are also shown. The force on the gear at C varies± 5% from its nominal value while the forces on the gears at D and E vary ±10% from their nominal values. The shaft material is made of cold drawn steel with a tensile yield strength of 36 ksi and an ultimate tensile strength of 58 ksi .

 
 
 
 
Determine

FBD and bending moment diagrams
· the location of maximum bending stress in the shaft
· the diameter of the shaft for a 2.0 factor of safety for yielding using the maximum shear stress theory and the distortion energy theory at the location of maximum bending stress
· the factor of safety for fatigue (infinite life) with 95% reliability for the diameter determined above and at the location of maximum bending stress
· the deflection of the shaft at D in the z-direction and the x-direction

 
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posted by mousey on 7/16/2008 10:36:23 PM  |  status: Live
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Response Details:
This shaft design question is a mini project question reserved for students in an advanced course in strength of materials (bending stresses in two planes, life/failure under variable cyclic loading, deflection in two planes, etc.).  While the figure may well come from a basic textbook on statics, the question most probably wasn't drawn from the same book. So if you expect a speedy and complete answer here...  At least not from me.      [Rate "N/A"]

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