Calculate Young's Modulus of L<sub>1</sub> = 526 mm, L<sub>2</sub> = 525.5 mm, A = 790.1600000000001 mm² and F = 496 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 526 mm, L2 = 525.5 mm, A = 790.1600000000001 mm² and F = 496 N i.e. -660362458.236233 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 526 mm, L2 = 525.5 mm, A = 790.1600000000001 mm² and F = 496 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) = 526 mm
Final Length (L2) = 525.5 mm
Change in Length (ΔL) = ?
Area (A) = 790.1600000000001 mm²
Force (F) = 496 N
Calculating Stress
=> Convert the Area (A) 790.1600000000001 mm² to "square meter (m²)"
F = 790.1600000000001 ÷ 1000000
F = 0.00079 m²
Substitute the value into the formula
Stress (σ) = 627720.967905 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 526 ÷ 1000
r = 0.526 m
=> convert the L1 value to "meters (m)" unit
r = 525.5 ÷ 1000
r = 0.5255 m
ΔL = 0.5255 - 0.526
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000951
As we got all the values we can calculate Young's Modulus
E = -660362458.236233 Pa
∴ Youngs's Modulus (E) = -660362458.236233 Pa
Young's Modulus of L1 = 526 mm, L2 = 525.5 mm, A = 790.1600000000001 mm² and F = 496 N results in different Units
| Values | Units |
|---|---|
| -660362458.236233 | pascals (Pa) |
| -95777.452109 | pounds per square inch (psi) |
| -6603624.582362 | hectopascals (hPa) |
| -660362.458236 | kilopascals (kPa) |
| -660.362458 | megapascal (MPa) |
| -13791669.940264 | 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 527 mm, final length 526.5 mm, area 791.1600000000001 mm² and force 497 N
- Young's modulus of initial length 528 mm, final length 527.5 mm, area 792.1600000000001 mm² and force 498 N
- Young's modulus of initial length 529 mm, final length 528.5 mm, area 793.1600000000001 mm² and force 499 N
- Young's modulus of initial length 530 mm, final length 529.5 mm, area 794.1600000000001 mm² and force 500 N
- Young's modulus of initial length 531 mm, final length 530.5 mm, area 795.1600000000001 mm² and force 501 N