Stress formulation at a node within a beam

Grasshopper Karamba3D
1

Hey, everybody!

Is it possible to know the formulation that dictates the stress at a point within a beam element under both compression and tension (no bending/buckling stiffness), i.e. its functional form? Assuming I use this as the fitness function to feed to Galapagos, I wish to create a visual that would display what optima the optimisation algorithm could be aiming for by plotting said function in 3D space.

2

Hi @username_taken,
there are closed solutions for the maximum stresses in beams under different load- and support conditions. See e.g. Roark’s Formulas for Stress and Strain.
– Clemens

3

Clemens,

Thank you very much for the answer. Will look into it.