Subject Formula Sheet

Aerospace Structures Formulas

Formulas for Thin-Walled Beams, Shear Flow, Torsion, and Elastic Instability.

Thin-Walled Closed Tubes (Bredt-Batho)

Shear Flow: q = T / (2 A_m), τ = q / t

Rate of Twist: dθ/dz = (T / (4 A_m² G)) ∮ (ds / t)

Euler Buckling of Columns

P_cr = π² E I / L_e²

L_e = L (Pinned-Pinned), L_e = 0.5L (Fixed-Fixed), L_e = 2L (Fixed-Free), L_e = 0.7L (Fixed-Pinned)