Deflection of Fixed Beam with Uniformly Distributed Load Calculator

Calculate Deflection of Fixed Beam with Uniformly Distributed Load









Formula

The formula to calculate the Deflection of Fixed Beam with Uniformly Distributed Load is:

\[ \delta = \frac{W_{\text{beam}} \cdot L_{\text{beam}}^4}{384 \cdot e \cdot I} \]

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:

\[ \delta = \frac{0.018 \cdot 4.8^4}{384 \cdot 50 \cdot 1.125} \]

Evaluating:

\[ \delta = 0.000442368 \text{ m} \]

The Deflection of Beam is 0.000442368 m.

Conversion Chart

Width of Beam (m) Beam Length (m) Elastic Modulus (Pa) Moment of Inertia (kg·m²) Deflection of Beam (m)
0.01 4.8 50 1.125 0.000245760000
0.012 4.8 50 1.125 0.000294912000
0.014 4.8 50 1.125 0.000344064000
0.016 4.8 50 1.125 0.000393216000
0.018 4.8 50 1.125 0.000442368000