Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Uniform prismatic Euler–Bernoulli beam, small elastic deflection, simple supports, one centered point load. Shear deformation and self-weight excluded. Geometric/quantity estimate only; not structural sizing, installation instructions or code-compliance approval.
Example Calculation
- Central point load: 1000 N
- Span: 1000 mm
- Elastic modulus: 200000 MPa
- Second moment of area: 1000000 mm⁴
Central point load = 1000 N; Span = 1000 mm; Elastic modulus = 200000 MPa; Second moment of area = 1000000 mm⁴. Primary result: 0.104166666667.
Frequently asked questions
How do I use this calculator?
Enter central point load, span, elastic modulus, second moment of area. The result updates automatically. Use Reset to restore the example values.
What method does it use?
maximum deflection=P L³/(48EI).. Uniform prismatic Euler–Bernoulli beam, small elastic deflection, simple supports, one centered point load. Shear deformation and self-weight excluded. Geometric/quantity estimate only; not structural sizing, installation instructions or code-compliance approval.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.