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