State of stress calculator for axial, torsion, shear, and bending

[VardaanCodes]

Develop a state of stress calculator for prismatic bodies and beams under axial, torsional, shear, and bending loads as functions of x, y, z.

Scope

• Support basic loading types:
  1. Axial load
  2. Torsional load
  3. Shear load
  4. Bending load
• Inputs:
  • Geometry, cross-sectional properties (A, I, J)
  • Material properties (E, G, Poisson's ratio)
  • External loads, boundary conditions
• Outputs:
  • Stress components at user-defined points
  • Principal stresses, max shear stress
  • (Optional) Safety factor if allowable/yield provided

Implementation

• Python + NumPy, SciPy, Sympy
• Start with closed-form solutions; API must support extensibility.