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Beam Deflection Calculator

Calculate the deflection of a simply supported center-loaded beam.

lb
ft
psi
in⁴
Live Calculation

Deflection

0.12

in

Live Step-by-Step Calculation

# Given Values:
Load: 1000 lb
Length: 10 ft
Elastic Modulus: 29000000 psi
Moment of Inertia: 10 in⁴
# Formula:
Deflection = (p * (l * 12)^3) / (48 * e * i)
# Substitution:
Deflection = (1000 * (10 * 12)^3) / (48 * 29000000 * 10)
Final Answer: 0.1241 in

How it works

δ=PL348EI\delta = \frac{PL^3}{48EI}

Biological Formula Standard

Beam deflection is the degree to which a structural element is displaced under a load. It depends on the load, the length of the beam, the material's stiffness (Elastic Modulus), and the beam's cross-sectional shape (Moment of Inertia).

How it Works

δ=PL348EI\delta = \frac{PL^3}{48EI}

Beam deflection is the degree to which a structural element is displaced under a load. It depends on the load, the length of the beam, the material's stiffness (Elastic Modulus), and the beam's cross-sectional shape (Moment of Inertia).

AI Insight

Did you know? Consistent tracking of these metrics can help identify trends over time. Try adjusting the inputs to see how sensitive the result is to each variable.

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