Beam curvature from deformed condition
Beam curvature from deformed condition
(OP)
Hi, I apologize form my english, which is not the best.
I need to find geometrically the curvature of a beam of which I know exaclty the geometry in the deformed condition (I know the coordinates of every point of the beam). I've tried few methods but the results differ one from another, so I would like to know of you would find the curvature. I've attached a file showing the deformed beam and in yellow you can see all the points of which i know the coordinates.
thanks,
Andrea
I need to find geometrically the curvature of a beam of which I know exaclty the geometry in the deformed condition (I know the coordinates of every point of the beam). I've tried few methods but the results differ one from another, so I would like to know of you would find the curvature. I've attached a file showing the deformed beam and in yellow you can see all the points of which i know the coordinates.
thanks,
Andrea






RE: Beam curvature from deformed condition
RE: Beam curvature from deformed condition
RE: Beam curvature from deformed condition
I'm not sure how to do this mathematically - I would sketch the beam span in AutoCAD, draw in the end slopes (at the correct angle), then draw tangents to the end slopes to where they meet 'above' the mid point of the beam. That would give you the radius of the circle that approximates the curvature in the beam.
RE: Beam curvature from deformed condition
If you don't have access to a CAD package then get out a mathematical formula book; it should be in there somewhere.
RE: Beam curvature from deformed condition
If v is the deflection, then curvature is d^2v/dx^2.
RE: Beam curvature from deformed condition
RE: Beam curvature from deformed condition
It's pretty simple to derive the moment at a distance 'x' along a beam using statics.
RE: Beam curvature from deformed condition
BA
RE: Beam curvature from deformed condition
Andrea