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Spring system in the form of a fishing rod
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vandelay



Joined: 16 Aug 2007
Posts: 122
Helped: 2
Location: Norway
Post11 Oct 2009 19:11   

Spring system in the form of a fishing rod
I am looking to describe the flex/bend of a fishing rod with the handle level and a weight attached to the tip. Well, my quest is a bit bigger but this is the essence of the problem. Can anyone help me develop a differential equation for this system? I'm completely blank on this one..

Kjetil
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Colbhaidh



Joined: 10 Aug 2004
Posts: 232
Helped: 35
Location: Scotland
Post12 Oct 2009 15:13   

Re: Spring system in the form of a fishing rod
Might not understand th question correctly but doesnot require differential equation.
Assuming the rod has a length L and a modulus of elasticity E, with weight W at one end, the other end assumed rigid:

Deflection = WL^3/(3EI)

Defelection at point X on rod <L = WX^2(3L-X)/6EI (X=0 at support)

where I is the moment of inertia of the rod.

Stress at a specific point x = Wd(L-X)/I where d is the distance to the neutral plane.
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