Calculate Young's Modulus of L<sub>1</sub> = 496 mm, L<sub>2</sub> = 495.5 mm, A = 760.1600000000001 mm² and F = 466 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 496 mm, L2 = 495.5 mm, A = 760.1600000000001 mm² and F = 466 N i.e. -608124605.346242 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 496 mm, L2 = 495.5 mm, A = 760.1600000000001 mm² and F = 466 N
Young's Modulus states that a measure of elasticity is equal to the ration of the stress acting on a substance to the strain produced. Young's Modulus is also known as modulus of elasticity.
The formula to calculate Young's Modulus is:
Where,
E = Young's modulus
σ = Stress
ε = Strain
Step by Step Solution to find Young's Modulus :
Given that,
Stress (σ) = ?
Strain (ε) = ?
Initial Length (L1) = 496 mm
Final Length (L2) = 495.5 mm
Change in Length (ΔL) = ?
Area (A) = 760.1600000000001 mm²
Force (F) = 466 N
Calculating Stress
=> Convert the Area (A) 760.1600000000001 mm² to "square meter (m²)"
F = 760.1600000000001 ÷ 1000000
F = 0.00076 m²
Substitute the value into the formula
Stress (σ) = 613028.836035 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 496 ÷ 1000
r = 0.496 m
=> convert the L1 value to "meters (m)" unit
r = 495.5 ÷ 1000
r = 0.4955 m
ΔL = 0.4955 - 0.496
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001008
As we got all the values we can calculate Young's Modulus
E = -608124605.346242 Pa
∴ Youngs's Modulus (E) = -608124605.346242 Pa
Young's Modulus of L1 = 496 mm, L2 = 495.5 mm, A = 760.1600000000001 mm² and F = 466 N results in different Units
| Values | Units |
|---|---|
| -608124605.346242 | pascals (Pa) |
| -88200.994073 | pounds per square inch (psi) |
| -6081246.053462 | hectopascals (hPa) |
| -608124.605346 | kilopascals (kPa) |
| -608.124605 | megapascal (MPa) |
| -12700682.382656 | pounds per square foot (lbs/ft²) |
Similar Young's Modulus Calculation
Here are some examples of Young's Modulus Calculation
- Young's modulus of initial length 497 mm, final length 496.5 mm, area 761.1600000000001 mm² and force 467 N
- Young's modulus of initial length 498 mm, final length 497.5 mm, area 762.1600000000001 mm² and force 468 N
- Young's modulus of initial length 499 mm, final length 498.5 mm, area 763.1600000000001 mm² and force 469 N
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- Young's modulus of initial length 501 mm, final length 500.5 mm, area 765.1600000000001 mm² and force 471 N