Calculate Young's Modulus of L<sub>1</sub> = 384 mm, L<sub>2</sub> = 383.5 mm, A = 648.1600000000001 mm² and F = 354 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 384 mm, L2 = 383.5 mm, A = 648.1600000000001 mm² and F = 354 N i.e. -419451987.163663 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 384 mm, L2 = 383.5 mm, A = 648.1600000000001 mm² and F = 354 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) = 384 mm
Final Length (L2) = 383.5 mm
Change in Length (ΔL) = ?
Area (A) = 648.1600000000001 mm²
Force (F) = 354 N
Calculating Stress
=> Convert the Area (A) 648.1600000000001 mm² to "square meter (m²)"
F = 648.1600000000001 ÷ 1000000
F = 0.000648 m²
Substitute the value into the formula
Stress (σ) = 546161.441619 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 384 ÷ 1000
r = 0.384 m
=> convert the L1 value to "meters (m)" unit
r = 383.5 ÷ 1000
r = 0.3835 m
ΔL = 0.3835 - 0.384
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001302
As we got all the values we can calculate Young's Modulus
E = -419451987.163663 Pa
∴ Youngs's Modulus (E) = -419451987.163663 Pa
Young's Modulus of L1 = 384 mm, L2 = 383.5 mm, A = 648.1600000000001 mm² and F = 354 N results in different Units
| Values | Units |
|---|---|
| -419451987.163663 | pascals (Pa) |
| -60836.351479 | pounds per square inch (psi) |
| -4194519.871637 | hectopascals (hPa) |
| -419451.987164 | kilopascals (kPa) |
| -419.451987 | megapascal (MPa) |
| -8760254.751913 | 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 385 mm, final length 384.5 mm, area 649.1600000000001 mm² and force 355 N
- Young's modulus of initial length 386 mm, final length 385.5 mm, area 650.1600000000001 mm² and force 356 N
- Young's modulus of initial length 387 mm, final length 386.5 mm, area 651.1600000000001 mm² and force 357 N
- Young's modulus of initial length 388 mm, final length 387.5 mm, area 652.1600000000001 mm² and force 358 N
- Young's modulus of initial length 389 mm, final length 388.5 mm, area 653.1600000000001 mm² and force 359 N