Buckling limit S-shaped beams

Stiffness and Buckling limit of Wire springs

Beam type

Beam diameter D

10^-3 m

Beam diameter d

10^-3 m

Beam length L

Beam deflection z

Modulus of elasticity

10⁹ Pa

Cross section A

10^-3 m²

Second moment of area I=π/64(D⁴-d⁴)

10^-9 m⁴

Longitudinal stiffness Sx

10⁹ N/m

Lateral stiffness Sz

10⁶ N/m

Bending stress S

10⁶ Pa

Buckling load F

10³ N

The longitudinal stiffness, lateral stiffness and buckling load are calculated for z=0.

The configuration with reinforced mid-section considered in this calculator shows an increase of the buckling limit by a factor of nine while the lateral stiffness has increased with only 20%.