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MATERIALS SCIENCE · EXPERIMENT

Young's Modulus Virtual Laboratory

How would you actually determine Young's modulus? Run a virtual tensile test: measure the specimen, apply force, record extension, plot stress–strain, find the linear-region slope, and identify the material from your experimentally determined modulus.

SIGNATURE EXPERIMENT

Virtual Tensile Test

The laboratory sequence: Measure → Apply Force → Observe Extension → Calculate Stress/Strain → Plot → Find Linear Region → Find Slope → Determine E → Identify Material → Evaluate Result. Record several points, then calculate E from the best-fit slope. Turn on bad-data mode to practice spotting an outlier.

Step 1 — Measure the specimen

Area A = πd²/4 = 78.54 mm²

Step 2 — Apply force and record extension

Recorded 0 points. Each extension is computed from the (hidden) material's modulus with small measurement noise.

Step 3 — Stress–strain plot

Record some points to build the graph.

Step 4 — Find the slope and identify the material

You didn't just calculate Young's modulus — you experimentally determined it from simulated measurements.

MEASUREMENT ERROR

Diameter-Error Simulator

For a cylindrical specimen, A = πd²/4 — so a diameter measurement error is doubled in the area and propagates into E. See how a small caliper error changes your result.

+5%
Measured d: 10.5 mm
A error: 10.25% (roughly double the diameter error)
E estimate: 181.4 GPa (-9.297% error)

Because A depends on d², a diameter error is amplified in the area and flows straight into your calculated E. Precision matters most for the quantities that enter the formula squared.

CONCEPT QUIZ

Test Your Understanding

This 20-question quiz tests concepts and terminology only — no calculator is required. We suggest you review all four pages (Calculator, Learn, Real-World Applications, and Virtual Lab) before taking it.

QUESTION 1 OF 20

What does Young's modulus primarily describe?

You didn't just calculate Young's modulus. You experimentally determined it.

Use New mystery material inside the tensile test to try another material, and record more points to increase difficulty.

base44
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