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Physics For Engineers2D

Equilibrium and Elasticity - Theory & Concepts - Elasticity Stress Strain

A comprehensive overview of Equilibrium and Elasticity, covering static equilibrium, stress, strain, and material deformation.

Open the complete lesson
Interactive engineering simulation

Tensile Specimen & Stress-Strain Curve

Apply axial tensile force on a specimen. Observe Hooke's Law in the linear elastic region, and the horizontal curving path representing plastic flow beyond the yield threshold.

Elastic Region
Material Preset
Axial Tensile Force (P)
35 kN
kN
1200

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Cross-Section Area (A)
250 mm²
mm²
501500

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Young's Modulus (E)
200 GPa
GPa
20220

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Yield Strength (σ_y)
250 MPa
MPa
80500

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Governing Formulas
Normal Stress
σ=PA\sigma = \frac{P}{A}
Hooke's Law (Elastic Strain)
ϵ=σE(σσy)\epsilon = \frac{\sigma}{E} \quad (\sigma \le \sigma_y)
Stretching specimen and physical stress-strain graph showing elastic and plastic yielding zonesPStrain (ε)Stress (σ)Yield Threshold (σy = 250 MPa)
Normal Stress (σ)
140.0 MPa
Strain (ε)
7.000e-4
Deformation Mode
ELASTIC
Model scope and verification

Use the displayed units and idealizations, then verify the governing balance or compatibility equation before interpreting the result.