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Problem on stiffness matrix of beam and deflection of tapered beam 
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#1
Aug1213, 09:09 AM

P: 56

1.How do i derive the stiffness matrix for a beam with nodal linkage? ie the shear force at the first node is 0 but the usual shear and moment resistance is present for the second node.
I thouth about solving the problem by just putting the first row of the stiffness matrix as 0 . Am i correct? Plee help in this 2. How do i get the deflection of a tapered beam? i have the intertia as a function of x. How do i go about the problem? I thought of using the the the relation between EI and Moment equation and integrating it. But i a m not sure how to go further. Can someone please help me in this 


#2
Aug1213, 05:16 PM

HW Helper
P: 6,208

EI (d^{2}y/dx^{2}) = M where I is a function of x. So you'd need to just do d^{2}y/dx^{2} = M/EI then integrate twice inputting your boundary conditions. This would depend on how your tapered beam is set up. 


#3
Aug1213, 07:12 PM

Emeritus
Sci Advisor
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Thanks
PF Gold
P: 6,272

1. I am having trouble visualizing your beam and the nature of this 'nodal linkage'. Can you provide a picture?



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