Leaf spring (cantilever)
Bending moment, stress, deflection, end slope and stiffness of a cantilever leaf spring under an end load.
Bending moment, M = FL50 10⁻³ Nm
Moment of inertia, I_x0.0067 10⁻¹² m⁴
Section modulus, S_x = I_x/e0.0667 10⁻⁹ m³
Tensile stress, σ = M_x/S_x750 10⁶ Pa
Deflection, δ29.76 10⁻³ m
Slope, θ0.89 rad
Stiffness, k = dF/dδ33.6 N/m
Method & references
- Cantilever leaf spring under an end load — bending, deflection and slope.
- The legacy page this was ported from shares its exact page title with four other spring calculators (disc/Belleville washer; torsion bar, solid/hollow; tension bar/rod spring) that are, despite the shared title, genuinely different spring types.
- Disc (Belleville washer) spring (shares this calculator's legacy page title, but a distinct spring type)
- Torsion bar, solid round (shares this calculator's legacy page title, but a distinct spring type)
- Torsion bar, hollow round (shares this calculator's legacy page title, but a distinct spring type)
- Tension bar / rod spring (shares this calculator's legacy page title, but a distinct spring type)
The computation is a literal port of the original client-side JavaScript from /calculators/t14_9.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.