Calculate Young's Modulus of L<sub>1</sub> = 586 mm, L<sub>2</sub> = 585.5 mm, A = 850.1600000000001 mm² and F = 556 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 586 mm, L2 = 585.5 mm, A = 850.1600000000001 mm² and F = 556 N i.e. -766481603.462962 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 586 mm, L2 = 585.5 mm, A = 850.1600000000001 mm² and F = 556 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) = 586 mm
Final Length (L2) = 585.5 mm
Change in Length (ΔL) = ?
Area (A) = 850.1600000000001 mm²
Force (F) = 556 N
Calculating Stress
=> Convert the Area (A) 850.1600000000001 mm² to "square meter (m²)"
F = 850.1600000000001 ÷ 1000000
F = 0.00085 m²
Substitute the value into the formula
Stress (σ) = 653994.542204 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 586 ÷ 1000
r = 0.586 m
=> convert the L1 value to "meters (m)" unit
r = 585.5 ÷ 1000
r = 0.5855 m
ΔL = 0.5855 - 0.586
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000853
As we got all the values we can calculate Young's Modulus
E = -766481603.462962 Pa
∴ Youngs's Modulus (E) = -766481603.462962 Pa
Young's Modulus of L1 = 586 mm, L2 = 585.5 mm, A = 850.1600000000001 mm² and F = 556 N results in different Units
| Values | Units |
|---|---|
| -766481603.462962 | pascals (Pa) |
| -111168.728859 | pounds per square inch (psi) |
| -7664816.03463 | hectopascals (hPa) |
| -766481.603463 | kilopascals (kPa) |
| -766.481603 | megapascal (MPa) |
| -16007968.288324 | 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 587 mm, final length 586.5 mm, area 851.1600000000001 mm² and force 557 N
- Young's modulus of initial length 588 mm, final length 587.5 mm, area 852.1600000000001 mm² and force 558 N
- Young's modulus of initial length 589 mm, final length 588.5 mm, area 853.1600000000001 mm² and force 559 N
- Young's modulus of initial length 590 mm, final length 589.5 mm, area 854.1600000000001 mm² and force 560 N
- Young's modulus of initial length 591 mm, final length 590.5 mm, area 855.1600000000001 mm² and force 561 N