Balkendurchbiegung-Rechner — Formel
## Simply Supported Beam Deflection
**Delta_max = 5wL^4 / (384EI)**
Where w is the load per inch, L is the span in inches, E is the modulus of elasticity, and I is the moment of inertia. Common deflection limits are L/360 for floors and L/240 for roofs.
**Delta_max = 5wL^4 / (384EI)**
Where w is the load per inch, L is the span in inches, E is the modulus of elasticity, and I is the moment of inertia. Common deflection limits are L/360 for floors and L/240 for roofs.
Lösungsbeispiel
12 ft beam, 200 lb/ft load, E = 1,700,000 psi, I = 98 in^4.
- w = 200/12 = 16.67 lb/in
- L = 144 in
- Delta = 5 x 16.67 x 144^4 / (384 x 1,700,000 x 98)
- Delta = 0.283 in
- L/360 = 0.40 in; deflection is within limits.