Calculate Young's Modulus of L<sub>1</sub> = 432 mm, L<sub>2</sub> = 431.5 mm, A = 696.1600000000001 mm² and F = 402 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 432 mm, L2 = 431.5 mm, A = 696.1600000000001 mm² and F = 402 N i.e. -498919788.554355 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 432 mm, L2 = 431.5 mm, A = 696.1600000000001 mm² and F = 402 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) = 432 mm
Final Length (L2) = 431.5 mm
Change in Length (ΔL) = ?
Area (A) = 696.1600000000001 mm²
Force (F) = 402 N
Calculating Stress
=> Convert the Area (A) 696.1600000000001 mm² to "square meter (m²)"
F = 696.1600000000001 ÷ 1000000
F = 0.000696 m²
Substitute the value into the formula
Stress (σ) = 577453.458975 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 432 ÷ 1000
r = 0.432 m
=> convert the L1 value to "meters (m)" unit
r = 431.5 ÷ 1000
r = 0.4315 m
ΔL = 0.4315 - 0.432
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001157
As we got all the values we can calculate Young's Modulus
E = -498919788.554355 Pa
∴ Youngs's Modulus (E) = -498919788.554355 Pa
Young's Modulus of L1 = 432 mm, L2 = 431.5 mm, A = 696.1600000000001 mm² and F = 402 N results in different Units
| Values | Units |
|---|---|
| -498919788.554355 | pascals (Pa) |
| -72362.178616 | pounds per square inch (psi) |
| -4989197.885544 | hectopascals (hPa) |
| -498919.788554 | kilopascals (kPa) |
| -498.919789 | megapascal (MPa) |
| -10419939.783958 | 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 433 mm, final length 432.5 mm, area 697.1600000000001 mm² and force 403 N
- Young's modulus of initial length 434 mm, final length 433.5 mm, area 698.1600000000001 mm² and force 404 N
- Young's modulus of initial length 435 mm, final length 434.5 mm, area 699.1600000000001 mm² and force 405 N
- Young's modulus of initial length 436 mm, final length 435.5 mm, area 700.1600000000001 mm² and force 406 N
- Young's modulus of initial length 437 mm, final length 436.5 mm, area 701.1600000000001 mm² and force 407 N