Cantilever Beam with Distributed Load Calculator

Calculate Cantilever Deflection under Distributed Load

Input Fields

Load

P

lbs

Elastic Modulus

E

psi

Moment of Inertia

I

in⁴

Beam Length

L

in

Load Position

x

in

CalculateReset

Calculate automaticallyIf enabled, the result will update automatically when you change any value.

Your Results

Slope at Free End

Deflection at Position x

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Cantilever Beam with Distributed Load Formula

$$\text{Slope at free end} = \frac{P \cdot L^3}{6 \cdot E \cdot I}$$ $$\text{Deflection at any section} = \frac{P \cdot x^2 (x^3 + 6L^2 – 4Lx)}{24 \cdot E \cdot I}$$

Where:

• $$P$$: total distributed load
• $$L$$:length
• $$x$$: section location.

Accurate deflection analysis of beams under uniform loads is vital in civil structures like balconies and overhangs. This calculator simplifies that process for reliable design.