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MMCS
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A uniformly tapering cantilever of solid circular cross-section has a length L and
carries a concentrated load at the free end. The diameter at the fixed end is D and
at the free end d. Show that the position of maximum bending stress occurs at a
section
(d/(2(D-d))*L
distance from the free end.
I know that the max bending is when shear = 0
I can't begin to use any formulas because to take moments i need to know where the centre of gravity would be for a tapering rod, which i dont, also how would i use the ∏*d^4/64 to get the second moment of area on a tapering rod?
Thanks
carries a concentrated load at the free end. The diameter at the fixed end is D and
at the free end d. Show that the position of maximum bending stress occurs at a
section
(d/(2(D-d))*L
distance from the free end.
I know that the max bending is when shear = 0
I can't begin to use any formulas because to take moments i need to know where the centre of gravity would be for a tapering rod, which i dont, also how would i use the ∏*d^4/64 to get the second moment of area on a tapering rod?
Thanks