Section Modulus Rechner — Formel

Section Modulus of a Rectangle

Section modulus links bending moment to bending stress directly.

Elastic Section Modulus

S = b h^2 / 6

Derived from S = I / c where I = b h^3 / 12 and c = h / 2.

Plastic Section Modulus

Z = b h^2 / 4

Z represents the full plastic capacity when the entire cross-section has yielded. The ratio Z/S is called the shape factor; for a rectangle it is always 1.5.

Lösungsbeispiel

A 100 mm x 200 mm rectangular section.

  1. Sxx = 100 x 200^2 / 6 = 100 x 40000 / 6 = 666,667 mm^3
  2. Zxx = 100 x 200^2 / 4 = 100 x 40000 / 4 = 1,000,000 mm^3
  3. Shape factor = 1,000,000 / 666,667 = 1.5