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- Thread starter sunil.hk1
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stewartcs

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I'd start with

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I think the easiest thing is to define the loading using singularity functions, set it equal to EIy'''' (where E = elastic mod, I = moment of inertia, y'''' = fourth derivative of deflection); then successively integrate to get the shear force, moment, and finally the deflection as a function of x (the position along the beam). and determining the integration constants from the boundary conditions (such as at x = 0 and x = l, y = 0).

example of the singularity functions

http://www.roymech.co.uk/Useful_Tables/Beams/Singularity.html

(this is assuming small deflections by the way)

example of the singularity functions

http://www.roymech.co.uk/Useful_Tables/Beams/Singularity.html

(this is assuming small deflections by the way)

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