Free to use, no account

Beam Deflection Calculator

Estimate elastic beam deflection for common point and uniform loads, compare supports and view the deflection curve.

Textbook Euler–Bernoulli estimate: straight prismatic beam, constant E and I, linear elasticity and small deflection. Only the listed classic support/load cases are modeled. It omits shear deformation, self-weight, other loads, stability, connections and design-code checks. Educational only—not for selecting or certifying a real structure. Consult a qualified structural engineer.

Read the University of Illinois beam-deflection notes and assumptions.

How do you estimate beam deflection?

Choose a simply supported beam or a cantilever, then a centered point load or a uniform load across the full span. Enter the span, load, elastic modulus and second moment of area. The calculator uses textbook small-deflection beam equations and shows the maximum displacement and its location.

Frequently asked questions

How do you estimate beam deflection?

Choose a simply supported beam or a cantilever, then a centered point load or a uniform load across the full span. Enter the span, load, elastic modulus and second moment of area. The calculator uses textbook small-deflection beam equations and shows the maximum displacement and its location.

Are my beam inputs uploaded?

No. All arithmetic and the chart run in this browser; your values are not uploaded or saved by this tool.

Which beam cases does this calculator include?

It covers a simply supported beam or cantilever with either a centered point load or a uniform load across the full span. Other support conditions, off-center point loads, multiple loads and changing cross-sections are outside its scope.

What is the second moment of area?

The second moment of area I describes cross-section geometry about a bending axis. It is not mass moment of inertia. Use the value for the correct axis and keep its units consistent with the selected unit field.

Can I use this result to approve a beam?

No. This educational estimate omits many structural checks, including shear, strength, stability, connections, load combinations and local codes. A qualified structural engineer must assess a real design.