Calculate Young's Modulus of L<sub>1</sub> = 561 mm, L<sub>2</sub> = 560.5 mm, A = 825.1600000000001 mm² and F = 531 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 561 mm, L2 = 560.5 mm, A = 825.1600000000001 mm² and F = 531 N i.e. -722019971.88416 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 561 mm, L2 = 560.5 mm, A = 825.1600000000001 mm² and F = 531 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) = 561 mm
Final Length (L2) = 560.5 mm
Change in Length (ΔL) = ?
Area (A) = 825.1600000000001 mm²
Force (F) = 531 N
Calculating Stress
=> Convert the Area (A) 825.1600000000001 mm² to "square meter (m²)"
F = 825.1600000000001 ÷ 1000000
F = 0.000825 m²
Substitute the value into the formula
Stress (σ) = 643511.561394 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 561 ÷ 1000
r = 0.561 m
=> convert the L1 value to "meters (m)" unit
r = 560.5 ÷ 1000
r = 0.5605 m
ΔL = 0.5605 - 0.561
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000891
As we got all the values we can calculate Young's Modulus
E = -722019971.88416 Pa
∴ Youngs's Modulus (E) = -722019971.88416 Pa
Young's Modulus of L1 = 561 mm, L2 = 560.5 mm, A = 825.1600000000001 mm² and F = 531 N results in different Units
| Values | Units |
|---|---|
| -722019971.88416 | pascals (Pa) |
| -104720.116076 | pounds per square inch (psi) |
| -7220199.718842 | hectopascals (hPa) |
| -722019.971884 | kilopascals (kPa) |
| -722.019972 | megapascal (MPa) |
| -15079387.112801 | 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 562 mm, final length 561.5 mm, area 826.1600000000001 mm² and force 532 N
- Young's modulus of initial length 563 mm, final length 562.5 mm, area 827.1600000000001 mm² and force 533 N
- Young's modulus of initial length 564 mm, final length 563.5 mm, area 828.1600000000001 mm² and force 534 N
- Young's modulus of initial length 565 mm, final length 564.5 mm, area 829.1600000000001 mm² and force 535 N
- Young's modulus of initial length 566 mm, final length 565.5 mm, area 830.1600000000001 mm² and force 536 N