Calculate Young's Modulus of L<sub>1</sub> = 567 mm, L<sub>2</sub> = 566.5 mm, A = 831.1600000000001 mm² and F = 537 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 567 mm, L2 = 566.5 mm, A = 831.1600000000001 mm² and F = 537 N i.e. -732660378.2666 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 567 mm, L2 = 566.5 mm, A = 831.1600000000001 mm² and F = 537 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) = 567 mm
Final Length (L2) = 566.5 mm
Change in Length (ΔL) = ?
Area (A) = 831.1600000000001 mm²
Force (F) = 537 N
Calculating Stress
=> Convert the Area (A) 831.1600000000001 mm² to "square meter (m²)"
F = 831.1600000000001 ÷ 1000000
F = 0.000831 m²
Substitute the value into the formula
Stress (σ) = 646084.989653 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 567 ÷ 1000
r = 0.567 m
=> convert the L1 value to "meters (m)" unit
r = 566.5 ÷ 1000
r = 0.5665 m
ΔL = 0.5665 - 0.567
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000882
As we got all the values we can calculate Young's Modulus
E = -732660378.2666 Pa
∴ Youngs's Modulus (E) = -732660378.2666 Pa
Young's Modulus of L1 = 567 mm, L2 = 566.5 mm, A = 831.1600000000001 mm² and F = 537 N results in different Units
| Values | Units |
|---|---|
| -732660378.2666 | pascals (Pa) |
| -106263.376145 | pounds per square inch (psi) |
| -7326603.782666 | hectopascals (hPa) |
| -732660.378267 | kilopascals (kPa) |
| -732.660378 | megapascal (MPa) |
| -15301612.000098 | 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 568 mm, final length 567.5 mm, area 832.1600000000001 mm² and force 538 N
- Young's modulus of initial length 569 mm, final length 568.5 mm, area 833.1600000000001 mm² and force 539 N
- Young's modulus of initial length 570 mm, final length 569.5 mm, area 834.1600000000001 mm² and force 540 N
- Young's modulus of initial length 571 mm, final length 570.5 mm, area 835.1600000000001 mm² and force 541 N
- Young's modulus of initial length 572 mm, final length 571.5 mm, area 836.1600000000001 mm² and force 542 N