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Young's modulus calculator

Compute Young's modulus from a force, cross-section, length and extension.

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The Young's modulus calculator turns Force (N), Cross-section (mm²), Original length (m), Extension (mm) into Young's modulus (GPa), instantly and for free. For instance, with Force (N) = 1,000, Cross-section (mm²) = 10, Original length (m) = 2 and Extension (mm) = 1 it returns Young's modulus (GPa) = 200.

How to use it

  1. Enter your values: Force (N), Cross-section (mm²), Original length (m), Extension (mm).
  2. Read the result instantly: Young's modulus (GPa).

Frequently asked questions

What does the Young's modulus calculator actually compute?

It takes Force (N), Cross-section (mm²), Original length (m) and Extension (mm) and derives Young's modulus (GPa) from them. The calculation is live as you type, so the result updates on every change.

What information do I need to provide?

4 values: Force (N), Cross-section (mm²), Original length (m) and Extension (mm). Nothing else is required — no account, no file upload.

Can you show a worked example?

With Force (N) = 1,000, Cross-section (mm²) = 10, Original length (m) = 2 and Extension (mm) = 1, the calculator returns Young's modulus (GPa) = 200. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

When would I actually use this?

Checking a homework answer, sizing something before building it, and getting an order of magnitude before committing to a design — a torque on a bolt, the force a spring returns, the frequency a circuit resonates at, how long light takes to arrive.

What is the most common mistake?

Feeding in a value in the wrong unit. Physics formulas assume SI throughout, so grams instead of kilograms or centimetres instead of metres shifts the answer by powers of ten without any warning.

What is the difference between the Young's modulus calculator and the Thermal expansion calculator?

This one returns Young's modulus (GPa); the Thermal expansion calculator returns Length change (m) and Length change (mm). That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Centripetal force calculator is the closest one after this: Compute the centripetal force on an object moving in a circle (F = mv²/r).

What else is worth having open alongside it?

Force calculator (F = ma) and Friction force calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from, and how current are they?

Constants are the CODATA values and the formulas are the textbook ones. Most assume an idealised case — no air resistance, no friction, a point mass — and the tool says so where the simplification matters.

Further reading

All guides →
ExplainerHooke's Law Explained: F = kx, Real Spring Constants, and Where It Stops HoldingHooke's law says force is proportional to stretch — but only below the elastic limit. Here is F = kx with worked numbers, what a 200 N/m spring actually feels like, and how springs combine.ExplainerHow Buoyancy Works: Archimedes' Principle, and Why Ice Floats With 10.5 % Above WaterThe upward force equals the weight of the fluid pushed aside. That one sentence decides whether something floats, and if it floats, exactly how much of it stays under.ExplainerThe Ideal Gas Law Explained: PV = nRT, R in Every Unit, and Where It BreaksPV = nRT holds when the gas is dilute and far from condensing. The value of R depends entirely on the units you feed it, and the temperature is never in degrees Celsius.ExplainerHow the Doppler Effect Works: The Formula, the Sign Convention, and Why Moving the Source Is Not the Same as Moving the ListenerFor sound, f' = f(v + v_o)/(v − v_s) — and getting the signs backwards is the classic error. Here is the convention spelled out, a 440 Hz source computed at four speeds, and why light needs a different equation entirely.ExplainerWhat Is the Reynolds Number? The Formula, the Units That Cancel, and Why 2 300 Is Only for PipesRe = ρvL/μ compares inertia with viscosity, and the units really do cancel. See the number worked out for honey, a household pipe, an artery, a swimmer and a wing — and why the 2 300 threshold belongs to pipe flow alone.GuideThe Four Kinematics Equations: Which One to Use, and What Each One Leaves OutFive variables, four equations, and each equation is missing exactly one of them. Choose by looking at the variable the question never mentions.