AI guidesCalculations with AI

Engineering calculations with AI: compute, check and document properly

AI can save hours on structural, hydraulic or electrical calculations, and on checking a calculation note someone sent you. But only if it shows formulas, units, assumptions and clause numbers, and you check every number. Here is the free route, the paid route, and how to work without getting burned.

10 min read

01AI is a brilliant junior engineer, not the engineer of record

Think of AI as an engineer who graduated yesterday: very fast, knows lots of formulas, writes a neat calculation sheet. But sometimes it sounds sure of itself while using the wrong unit or quoting the wrong clause. So you never sign what it wrote before you check it, just like with an intern. The responsibility stays with you.

02Free route vs paid route

Free

Free: AI chat plus open calculation tools

  • Claude's free plan runs Python and returns a calculation with units
  • Free ChatGPT gives limited data analysis
  • Wolfram|Alpha on the web checks a formula or unit conversion in seconds
  • SMath Studio (free for personal use) for a calculation sheet with units
  • Jupyter plus Python plus handcalcs for a sheet that looks hand-written

Limit: Daily usage limits; large files and long chats hit the cap quickly

03The right way to work

  1. 1DefineInputs, units, code and National Annex
  2. 2AI computes in codeAsk for Python or a sheet, not a guess in prose
  3. 3Demand transparencyFormula, units, assumptions and clause per step
  4. 4CheckOrder of magnitude, hand check, the standard itself
  5. 5Final designIn approved software, signed by an engineer

04The best tools for engineering calculations

1

Claude

Anthropic

Best at: Writes and runs Python, builds a clean calculation sheet and reviews an existing calc note in PDF.

Free

Chat with code execution and file creation, up to 5 Projects

Paid

Pro about 20 USD a month (17 billed yearly): more usage and Claude for Excel

Add-ons that help 5
  • SettingCode execution and file creationSettings, then Capabilities: Claude runs the math in code instead of guessing.included
  • ModeExtended thinkingLonger reasoning for multi-step problems.included
  • Add-onClaude for ExcelWorks inside the workbook, explains formulas with cell citations and traces errors.
  • SettingProjectsKeep your office templates and instructions available in every chat.included
  • ConnectorWolfram MCP (Cloud)Plugs in Wolfram's computation engine; a free service for light use.free
2

ChatGPT

OpenAI

Best at: Analyses data files and computes in Python; good for measurement tables and charts.

Free

Limited data analysis and file uploads

Paid

Plus at 20 USD a month: full data analysis and more usage

Add-ons that help 3
  • ModeData analysis (Python)Runs Python in a notebook environment and shows the code.included
  • GPT/GemWolfram GPTAdds a real math engine and curated data. Search Wolfram in the GPT store.free
  • SettingProjectsKeeps one job's files and instructions together.included
3

Best at: A true computation engine: integrals, equations, unit conversions and formula checks.

Free

Web calculations with no sign-up

Paid

Pro: step-by-step solutions, file uploads and longer compute time (check current price)

Add-ons that help 2
  • ConnectorWolfram MCPConnects Wolfram to Claude, ChatGPT and Cursor; the Cloud version is free for light use.free
  • Add-onWolfram|Alpha ProShows the solution steps; great for learning and checking.
4

Best at: When the calculation already lives in the office Excel sheet: formulas, checks and charts.

Free

No Copilot in Excel without a subscription

Paid

Included in Microsoft 365 Personal (about 10 USD a month) and Family, with usage limits

Add-ons that help 2
  • SettingMicrosoft 365 Personal / FamilyThe subscription that turns on Copilot in Excel, Word and PowerPoint.
  • Add-onMicrosoft 365 PremiumHigher usage and AI agents for longer tasks, about 20 USD a month.
5

Gemini

Google

Best at: Explains formulas and standards; works well with Google Docs and Drive.

Free

Free Gemini with Canvas and Gems

Paid

Google AI Pro about 20 USD a month: stronger model and Gemini inside Google apps

Add-ons that help 2
  • GPT/GemYour own GemSet fixed rules: SI units, always cite the clause.free
  • ModeCanvasEdit a calculation sheet or code next to the chat.free
6

Best at: A transparent calc sheet with units you can check and file. AI writes it, the tool computes it.

Free

SMath is free for personal use; Jupyter, Python and handcalcs are fully free

Paid

SMath for organisations needs a paid licence

Add-ons that help 3
  • Add-onhandcalcsTurns Python code into a hand-calc style sheet with numbers substituted.free
  • Add-onforallpeople / PintPython unit libraries that catch kN vs N mistakes.free
  • Add-onJupyterLabA notebook to run, document and export to PDF.free

05Example: steel beam deflection

Structural engineerasks
Simply supported IPE 300, span 6 m, uniform service load 10 kN/m, E = 210 GPa, Iy = 8356 cm4. Compute max deflection in Python with units, state the formula and assumptions, and compare to L/250. Note that the deflection limit comes from the National Annex or project criteria.
gets
Formula 5qL⁴/(384EI), full substitution, deflection about 9.6 mm vs a 24 mm limit: OK. Assumption list: characteristic load, constant section, self-weight excluded. You sanity-check the magnitude and compare with a table.
ToolClaude with code execution, or ChatGPT with data analysis

06Example: pressure loss in a water pipe

Plumbing and hydraulics engineerasks
Steel pipe, 50 mm internal diameter, 100 m long, flow 3 L/s, water at 20°C, roughness 0.045 mm. Compute pressure loss with Darcy-Weisbach and Colebrook. Show velocity, Reynolds number, friction factor and units at every step.
gets
Velocity about 1.53 m/s, Reynolds about 76,000, friction factor about 0.022, pressure loss about 52 kPa (about 5.3 m of water head). Local losses in fittings are added separately.
ToolClaude or ChatGPT, cross-checked in Wolfram|Alpha

07Example: anchor edge distance check

Engineer reviewing a contractor's calc noteasks
Attached is a calculation note for a bonded anchor in concrete (PDF). Check the edge distance against EN 1992-4 and the product ETA. For each check give the clause, formula and units, and flag any value not found in the documents.
gets
A findings table: h_ef = 100 mm, so c_cr,N = 1.5·h_ef = 150 mm; actual edge distance 80 mm, so a reduction factor ψs,N = 0.86 and a reduced projected area apply for concrete cone failure (clause 7.2.1.4). Warning: c_min comes from the ETA, not the standard, and concrete edge failure under shear must be checked too.
ToolClaude with PDF upload and a Project holding the ETA pages

08Which tool for which calculation

TaskRecommended toolWhy
Quick structural check (beam, column, deflection)Claude or ChatGPT with code executionComputes in code, shows formula and units
Reviewing a calc note you received as PDFClaude with ProjectsReads long documents and returns a findings table
Solving an equation, integral or unit conversionWolfram|AlphaDeterministic engine, not a guess
An existing office Excel workbookClaude for Excel or Copilot in ExcelWorks in the cells and explains every formula
A calc sheet to file with the projectSMath Studio or Jupyter plus handcalcsTransparent, with units, every line checkable
Electrical (voltage drop, cable size)Claude or ChatGPT, then check the standardFast, but factors from the Israeli standard must be verified
Pipe pressure loss and flowPython in Jupyter, or AI with code executionColebrook needs iteration; code does it right
Final design for signingApproved professional softwareAI does not replace recognised design tools and engineering review

09Get started in 5 minutes

  1. 1

    Turn on code execution

    In Claude: Settings, Capabilities, enable Code execution and file creation. In ChatGPT, explicitly ask it to compute in Python.

  2. 2

    Open a Project

    Upload your office template, section tables and relevant ETA pages, and add standing instructions.

  3. 3

    Write standing instructions

    For example: use SI units, write the formula before substituting, cite code and clause, list every assumption.

  4. 4

    Give complete inputs

    Geometry, materials, loads, code and National Annex. Whatever you leave out, the AI will guess.

  5. 5

    Check twice

    Order of magnitude in your head, then a cross-check in another tool such as Wolfram|Alpha or SMath Studio.

  6. 6

    Compare with the original standard

    Open the clause in the official document and confirm the formula and factors are really there.

10Do and don't

Do

  • Ask for the calculation in code, not free text
  • Demand units on every line
  • Ask for the clause number and look it up
  • Use AI as a second reviewer of a calc note
  • Keep the code and output for your records

Don't

  • Trust a value the AI remembers from a standard
  • Upload sensitive client documents without approval
  • Submit an AI calculation without engineering review
  • Replace approved design software
  • Forget that responsibility stays with the engineer

11FAQ

Can I submit a calculation made by AI?

You can use it as help, but an engineer must check every formula, unit and assumption. For final design, use recognised professional software. The professional responsibility is yours.

Does AI know the Eurocodes?

It knows many formulas, but it can mix up editions, clauses and National Annexes. Always check against the official document, and ideally upload the relevant extract to a Project.

Why ask for code instead of a plain answer?

A language model doing arithmetic in its head can slip. Code that actually runs computes exactly what it says, and you can read and check it.

What is the best free setup?

A combination: free Claude or ChatGPT to write the calculation, SMath Studio or Jupyter with handcalcs for a transparent sheet, and Wolfram|Alpha for a cross-check.

What about privacy?

Do not upload sensitive client documents without permission. Check your plan's privacy settings; in an office, a business plan with data controls is better.

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