Calculate Young's Modulus of L<sub>1</sub> = 299 mm, L<sub>2</sub> = 298.5 mm, A = 563.1600000000001 mm² and F = 269 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 299 mm, L2 = 298.5 mm, A = 563.1600000000001 mm² and F = 269 N i.e. -285641735.918744 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 299 mm, L2 = 298.5 mm, A = 563.1600000000001 mm² and F = 269 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) = 299 mm
Final Length (L2) = 298.5 mm
Change in Length (ΔL) = ?
Area (A) = 563.1600000000001 mm²
Force (F) = 269 N
Calculating Stress
=> Convert the Area (A) 563.1600000000001 mm² to "square meter (m²)"
F = 563.1600000000001 ÷ 1000000
F = 0.000563 m²
Substitute the value into the formula
Stress (σ) = 477661.76575 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 299 ÷ 1000
r = 0.299 m
=> convert the L1 value to "meters (m)" unit
r = 298.5 ÷ 1000
r = 0.2985 m
ΔL = 0.2985 - 0.299
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001672
As we got all the values we can calculate Young's Modulus
E = -285641735.918744 Pa
∴ Youngs's Modulus (E) = -285641735.918744 Pa
Young's Modulus of L1 = 299 mm, L2 = 298.5 mm, A = 563.1600000000001 mm² and F = 269 N results in different Units
| Values | Units |
|---|---|
| -285641735.918744 | pascals (Pa) |
| -41428.820402 | pounds per square inch (psi) |
| -2856417.359187 | hectopascals (hPa) |
| -285641.735919 | kilopascals (kPa) |
| -285.641736 | megapascal (MPa) |
| -5965627.654663 | 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 300 mm, final length 299.5 mm, area 564.1600000000001 mm² and force 270 N
- Young's modulus of initial length 301 mm, final length 300.5 mm, area 565.1600000000001 mm² and force 271 N
- Young's modulus of initial length 302 mm, final length 301.5 mm, area 566.1600000000001 mm² and force 272 N
- Young's modulus of initial length 303 mm, final length 302.5 mm, area 567.1600000000001 mm² and force 273 N
- Young's modulus of initial length 304 mm, final length 303.5 mm, area 568.1600000000001 mm² and force 274 N