Calculate Young's Modulus of L<sub>1</sub> = 400 mm, L<sub>2</sub> = 399.5 mm, A = 664.1600000000001 mm² and F = 370 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 400 mm, L2 = 399.5 mm, A = 664.1600000000001 mm² and F = 370 N i.e. -445675740.785352 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 400 mm, L2 = 399.5 mm, A = 664.1600000000001 mm² and F = 370 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) = 400 mm
Final Length (L2) = 399.5 mm
Change in Length (ΔL) = ?
Area (A) = 664.1600000000001 mm²
Force (F) = 370 N
Calculating Stress
=> Convert the Area (A) 664.1600000000001 mm² to "square meter (m²)"
F = 664.1600000000001 ÷ 1000000
F = 0.000664 m²
Substitute the value into the formula
Stress (σ) = 557094.675982 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 400 ÷ 1000
r = 0.4 m
=> convert the L1 value to "meters (m)" unit
r = 399.5 ÷ 1000
r = 0.3995 m
ΔL = 0.3995 - 0.4
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00125
As we got all the values we can calculate Young's Modulus
E = -445675740.785352 Pa
∴ Youngs's Modulus (E) = -445675740.785352 Pa
Young's Modulus of L1 = 400 mm, L2 = 399.5 mm, A = 664.1600000000001 mm² and F = 370 N results in different Units
| Values | Units |
|---|---|
| -445675740.785352 | pascals (Pa) |
| -64639.784389 | pounds per square inch (psi) |
| -4456757.407854 | hectopascals (hPa) |
| -445675.740785 | kilopascals (kPa) |
| -445.675741 | megapascal (MPa) |
| -9307937.846302 | 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 401 mm, final length 400.5 mm, area 665.1600000000001 mm² and force 371 N
- Young's modulus of initial length 402 mm, final length 401.5 mm, area 666.1600000000001 mm² and force 372 N
- Young's modulus of initial length 403 mm, final length 402.5 mm, area 667.1600000000001 mm² and force 373 N
- Young's modulus of initial length 404 mm, final length 403.5 mm, area 668.1600000000001 mm² and force 374 N
- Young's modulus of initial length 405 mm, final length 404.5 mm, area 669.1600000000001 mm² and force 375 N