Calculate Young's Modulus of L<sub>1</sub> = 456 mm, L<sub>2</sub> = 455.5 mm, A = 720.1600000000001 mm² and F = 426 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 456 mm, L2 = 455.5 mm, A = 720.1600000000001 mm² and F = 426 N i.e. -539480115.529882 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 456 mm, L2 = 455.5 mm, A = 720.1600000000001 mm² and F = 426 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) = 456 mm
Final Length (L2) = 455.5 mm
Change in Length (ΔL) = ?
Area (A) = 720.1600000000001 mm²
Force (F) = 426 N
Calculating Stress
=> Convert the Area (A) 720.1600000000001 mm² to "square meter (m²)"
F = 720.1600000000001 ÷ 1000000
F = 0.00072 m²
Substitute the value into the formula
Stress (σ) = 591535.214397 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 456 ÷ 1000
r = 0.456 m
=> convert the L1 value to "meters (m)" unit
r = 455.5 ÷ 1000
r = 0.4555 m
ΔL = 0.4555 - 0.456
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001096
As we got all the values we can calculate Young's Modulus
E = -539480115.529882 Pa
∴ Youngs's Modulus (E) = -539480115.529882 Pa
Young's Modulus of L1 = 456 mm, L2 = 455.5 mm, A = 720.1600000000001 mm² and F = 426 N results in different Units
| Values | Units |
|---|---|
| -539480115.529882 | pascals (Pa) |
| -78244.955152 | pounds per square inch (psi) |
| -5394801.155299 | hectopascals (hPa) |
| -539480.11553 | kilopascals (kPa) |
| -539.480116 | megapascal (MPa) |
| -11267042.212842 | 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 457 mm, final length 456.5 mm, area 721.1600000000001 mm² and force 427 N
- Young's modulus of initial length 458 mm, final length 457.5 mm, area 722.1600000000001 mm² and force 428 N
- Young's modulus of initial length 459 mm, final length 458.5 mm, area 723.1600000000001 mm² and force 429 N
- Young's modulus of initial length 460 mm, final length 459.5 mm, area 724.1600000000001 mm² and force 430 N
- Young's modulus of initial length 461 mm, final length 460.5 mm, area 725.1600000000001 mm² and force 431 N