Beam Deflection Calculator

Calculate the maximum deflection of a simply supported beam under a uniform distributed load.

ft
lb/ft
psi
in^4

Max Deflection

0.000 in

Span/Deflection Ratio0
L/360 Limit0.400 in

Max Deflection vs Beam Span

सूत्र देखें →

सूत्र

## 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.

हल किया गया उदाहरण

12 ft beam, 200 lb/ft load, E = 1,700,000 psi, I = 98 in^4.

  1. 01w = 200/12 = 16.67 lb/in
  2. 02L = 144 in
  3. 03Delta = 5 x 16.67 x 144^4 / (384 x 1,700,000 x 98)
  4. 04Delta = 0.283 in
  5. 05L/360 = 0.40 in; deflection is within limits.