Deflection of Fixed Beam with Load at Center Calculator

Calculate Deflection of Beam









Formula

The formula to calculate the Deflection of Fixed Beam with Load at Center is:

\[ \delta = \frac{W_{beam} \cdot L_{beam}^3}{192 \cdot E \cdot I} \]

Where:

Definition

Deflection of beam is the degree to which a structural element is displaced under a load (due to its deformation).

Example Calculation

Let's assume the following values:

Using the formula:

\[ \delta = \frac{0.018 \cdot 4.8^3}{192 \cdot 50 \cdot 1.125} \]

Evaluating:

\[ \delta = 0.00018432 \text{ m} \]

The Deflection of Fixed Beam with Load at Center is 0.00018432 m.

Conversion Chart

Width of Beam (m) Beam Length (m) Elastic Modulus (Pa) Moment of Inertia (kg·m²) Deflection of Beam (m)
0.017 4.8 50 1.125 0.000174080000
0.018 4.8 50 1.125 0.000184320000