Parameters
Cross-section
Width b
100 mm
Height h
200 mm
Material (Yield Stress)
Axial Force N
0 kN
Positive = tension, negative = compression
Bending Moment M_y
50 N·m
Bending Moment M_z
0 N·m
—
σ_max Tensile [MPa]
—
σ_min Compressive [MPa]
—
Neutral Axis z [mm]
—
Safety Factor SF
Theory
$$\sigma = \frac{N}{A} + \frac{M_y}{I_y}z + \frac{M_z}{I_z}y$$Rectangle: $A=bh$, $I_y=\dfrac{bh^3}{12}$, $I_z=\dfrac{hb^3}{12}$
Circle: $A=\dfrac{\pi D^2}{4}$, $I_y=I_z=\dfrac{\pi D^4}{64}$
Safety factor: $SF = \sigma_y / |\sigma_{max}|$
CAE Applications: Column & beam section preliminary design / eccentric axial loading (M = N·e) / pre-FEM hand-calculation check. Results can be cross-checked against AISC and Eurocode 3 combined stress interaction equations.