Cantilever beam bending with partial UDL
Cantilever beam bending with partial UDL
(OP)
Hi Folks,
Apologies if this seems like a simply problem to many but some help would be appreciated.
Basically I have a Cantilever beam (5mm solid bar) with a partial UDL along the beam. See image for further detail.
Can someone tell me how to calculate the reaction and moment about A and the deflection and stress seen along the beam.
Apologies if this seems like a simply problem to many but some help would be appreciated.
Basically I have a Cantilever beam (5mm solid bar) with a partial UDL along the beam. See image for further detail.
Can someone tell me how to calculate the reaction and moment about A and the deflection and stress seen along the beam.






RE: Cantilever beam bending with partial UDL
Mb = w(L-a)2/2
Mx = w(a<x<L)(L-x)2/2
Rotation at any point x is the area under the M/EI diagram between A and x.
Deflection at any point x is the moment of the M/EI diagram between A and x about point x.
A simpler method which is probably sufficiently accurate is to resolve the uniform load into two concentrated loads, one at A, the other at L and use expressions for two point loads.
BA