मुफ्त यंग मापांक कैलकुलेटर
प्रतिबल-विकृति डेटा से यंग मापांक (इलास्टिक मॉड्यूलस) निकालें। प्रतिबल और विकृति दर्ज करें।
Young's Modulus
200,000 MPa
Young's Modulus vs Applied Stress
सूत्र
Young's Modulus (Elastic Modulus)
Young's modulus quantifies material stiffness in the linear elastic region.
Formula
E = sigma / epsilon
where sigma is the applied stress and epsilon is the resulting strain. E is measured from the initial linear portion of a tensile test stress-strain curve. Typical values: steel 200 GPa, aluminium 70 GPa, concrete 25-35 GPa, timber 8-14 GPa.
हल किया गया उदाहरण
A tensile test specimen shows 200 MPa stress at 0.001 strain.
- 01E = 200 / 0.001 = 200,000 MPa
- 02E = 200,000 / 1000 = 200 GPa
- 03This matches structural steel, confirming the specimen is steel.
अक्सर पूछे जाने वाले प्रश्न
What is a typical Young's modulus for steel?
Structural steel has E approximately equal to 200 GPa (29,000 ksi) regardless of grade. Higher-strength steels are stiffer in strength but have the same elastic modulus.
How is strain measured in practice?
Strain is measured using strain gauges (electrical resistance), extensometers (mechanical clip-on devices), or digital image correlation (DIC) for full-field measurements.
Does temperature affect Young's modulus?
Yes. Most metals soften at elevated temperatures. Steel's modulus drops to about 60% of its room-temperature value at 600 degrees C, which is critical in fire engineering.
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