Mechanical & Civil Engineering
Fixed-End Continuous Beam Deflection Calculator
Estimate maximum deflection and fixed-end moment for a fixed-end beam under uniform load.
Your inputs
Change any value to update the result instantly.
Max deflection
0.2637 mm
Fixed-end moment
7,500 N·m
Span length
3,000 mm
Uniform load
10 N/mm
What this calculator does
Fixed-End Continuous Beam Deflection Calculator: Applies the standard mechanics-of-materials relationship for this load case so a student can see how the stress, strain or deflection follows from the geometry and the load.
What your result means
The headline figure tells you how hard the material is being worked, or how much it moves, under the load you entered. Compare it with the allowable value for your material and required factor of safety.
Formula and working
δmax = wL⁴/(384EI); M_fixed = wL²/12
- 1
Collect the inputs
Uniform load = 10 N/mm; Span length = 3,000 mm; Young's modulus = 200,000 MPa; Moment of inertia = 40,000,000 mm⁴
- 2
Apply the formula
δmax = wL⁴/(384EI); M_fixed = wL²/12
- 3
Result
Max deflection = 0.2637 mm
Frequently asked questions
Symbols and assumptions
- w
- Uniform load (N/mm)
- L
- Span length (mm)
- E
- Young's modulus (MPa)
- I
- Moment of inertia (mm⁴)
- • The material is homogeneous, isotropic and loaded within its linear-elastic range.
- • Inputs are entered in a consistent unit system, as labelled on each field.
Sources and review
Reviewed 2026-09-22 · Next review 2027-09-22
- • This is an educational estimate for learning and checking, not a design deliverable.
- • Real design must follow the governing code or standard for your jurisdiction and be reviewed and signed off by a qualified engineer.
- • Safety factors, load combinations and material certification are the responsibility of the designer, not of this page.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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