Calculate Young's Modulus of L<sub>1</sub> = 480 mm, L<sub>2</sub> = 479.5 mm, A = 744.1600000000001 mm² and F = 450 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 480 mm, L2 = 479.5 mm, A = 744.1600000000001 mm² and F = 450 N i.e. -580520318.211137 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 480 mm, L2 = 479.5 mm, A = 744.1600000000001 mm² and F = 450 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) = 480 mm
Final Length (L2) = 479.5 mm
Change in Length (ΔL) = ?
Area (A) = 744.1600000000001 mm²
Force (F) = 450 N
Calculating Stress
=> Convert the Area (A) 744.1600000000001 mm² to "square meter (m²)"
F = 744.1600000000001 ÷ 1000000
F = 0.000744 m²
Substitute the value into the formula
Stress (σ) = 604708.664803 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 480 ÷ 1000
r = 0.48 m
=> convert the L1 value to "meters (m)" unit
r = 479.5 ÷ 1000
r = 0.4795 m
ΔL = 0.4795 - 0.48
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001042
As we got all the values we can calculate Young's Modulus
E = -580520318.211137 Pa
∴ Youngs's Modulus (E) = -580520318.211137 Pa
Young's Modulus of L1 = 480 mm, L2 = 479.5 mm, A = 744.1600000000001 mm² and F = 450 N results in different Units
| Values | Units |
|---|---|
| -580520318.211137 | pascals (Pa) |
| -84197.331757 | pounds per square inch (psi) |
| -5805203.182111 | hectopascals (hPa) |
| -580520.318211 | kilopascals (kPa) |
| -580.520318 | megapascal (MPa) |
| -12124166.84584 | 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 481 mm, final length 480.5 mm, area 745.1600000000001 mm² and force 451 N
- Young's modulus of initial length 482 mm, final length 481.5 mm, area 746.1600000000001 mm² and force 452 N
- Young's modulus of initial length 483 mm, final length 482.5 mm, area 747.1600000000001 mm² and force 453 N
- Young's modulus of initial length 484 mm, final length 483.5 mm, area 748.1600000000001 mm² and force 454 N
- Young's modulus of initial length 485 mm, final length 484.5 mm, area 749.1600000000001 mm² and force 455 N