Ultimate limit state
Check bending, shear, their interaction, and the governing utilisation to EN 1993-1-1.
EN 1990EN 1993-1-1
Design a single-span steel beam to Eurocode 3
Describe the span, section, steel grade, loads, and lateral restraints. Mia checks ultimate and serviceability limit states and explains the governing result step by step.
Worked exampleSKL-000006
Worked result | 12 m beam, S355
Transparent stepsStandards-basedDocument as PDF
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Show results Calculated exampleWorked result | 12 m beam, S355
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Show resultsResults for the selected example
Worked result | 12 m beam, S355
The results apply to these saved inputs. Changing the inputs requires a new calculation.
System and inputs
System and input parameters
Read-only inputs for this calculation. Changes require a new calculation.
System
- Structural system
- Simply supported beam
- Span L
- 12 m
Cross-section & material
- Cross-section
- HEB 400
- Material
- S355
Loads
- Include beam self-weight
- Yes
- Permanent load gk
- 5 kN/m
- Variable load qk
- 10 kN/m
- Point load
- No
Verification
- Lateral restraint of the compression flange
- Restrained only at supports
- National Annex
- EN – recommended values
- Deflection limit
- L/250 total
Calculated on · Skill version 0.8.1
Prepare your calculation
Configure your beam
System sketch
L = 6 mgk = 5 kN/mqk = 10 kN/m
Show calculation flow
m
All required fields completed
All required fields completed
Yes
kN/m
kN/m
Yes
kN
m
All required fields completed
All required fields completed
Inputs completeReady to calculate
What this skill checks
Serviceability
Calculate deflection and compare it with the agreed project or National Annex limit.
Lateral-torsional buckling
Assess member stability using the unrestrained length, moment shape, and support conditions.
Vibration screening
Estimate the first natural frequency as a serviceability hint, not a code verification.
Frequently asked questions
Which inputs does Mia need for the design?
At minimum, provide the static system, span, section, steel grade, loads, and lateral restraint. Mia asks targeted questions when a governing input is missing.
Is lateral-torsional buckling considered automatically?
Yes, when the compression flange is not continuously restrained and the unrestrained length and support conditions are known.
Which deflection limit is used?
The project or National Annex limit takes precedence. If none is given, Mia names the customary default used and flags it as an assumption.
Can I document the calculation?
CALC presents inputs, assumptions, checks, the governing utilisation, and normative references in a structured answer that can be exported as a PDF.
Standards & references
EN 1990EN 1993-1-1
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Start with the example and adapt it to your structural system.
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