Calculate Young's Modulus of L<sub>1</sub> = 431 mm, L<sub>2</sub> = 430.5 mm, A = 695.1600000000001 mm² and F = 401 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 431 mm, L2 = 430.5 mm, A = 695.1600000000001 mm² and F = 401 N i.e. -497240922.952989 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 431 mm, L2 = 430.5 mm, A = 695.1600000000001 mm² and F = 401 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) = 431 mm
Final Length (L2) = 430.5 mm
Change in Length (ΔL) = ?
Area (A) = 695.1600000000001 mm²
Force (F) = 401 N
Calculating Stress
=> Convert the Area (A) 695.1600000000001 mm² to "square meter (m²)"
F = 695.1600000000001 ÷ 1000000
F = 0.000695 m²
Substitute the value into the formula
Stress (σ) = 576845.618275 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 431 ÷ 1000
r = 0.431 m
=> convert the L1 value to "meters (m)" unit
r = 430.5 ÷ 1000
r = 0.4305 m
ΔL = 0.4305 - 0.431
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00116
As we got all the values we can calculate Young's Modulus
E = -497240922.952989 Pa
∴ Youngs's Modulus (E) = -497240922.952989 Pa
Young's Modulus of L1 = 431 mm, L2 = 430.5 mm, A = 695.1600000000001 mm² and F = 401 N results in different Units
| Values | Units |
|---|---|
| -497240922.952989 | pascals (Pa) |
| -72118.679811 | pounds per square inch (psi) |
| -4972409.22953 | hectopascals (hPa) |
| -497240.922953 | kilopascals (kPa) |
| -497.240923 | megapascal (MPa) |
| -10384876.675873 | 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 432 mm, final length 431.5 mm, area 696.1600000000001 mm² and force 402 N
- 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