Engineering•Medium

Stress-Strain Analysis

Engineering challenge: A steel rod (cross-section 2 cm²) is subjected to a tensile force of 40 kN. Young's modulus of steel E = 200 GPa.

Scenario

You are testing a steel rod in a tensile testing machine. You need to calculate stress, strain, and elongation under load.

Question 1

What is the tensile stress in the rod? (F = 40,000 N, A = 2 cm² = 2×10⁻⁴ m²)

MPa

Question 2

What is the strain in the rod? (E = 200 GPa = 200×10⁹ Pa)

Question 3

If the rod is 2 m long, what is the elongation ΔL?

Question 4

Beyond the yield point on a stress-strain curve, the material undergoes:

Elastic deformation (fully recoverable)Plastic deformation (permanent)Elastic strain hardeningImmediate fracture

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