Calculate Young's Modulus of L<sub>1</sub> = 616 mm, L<sub>2</sub> = 615.5 mm, A = 880.1600000000001 mm² and F = 586 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 616 mm, L2 = 615.5 mm, A = 880.1600000000001 mm² and F = 586 N i.e. -820250863.479458 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 616 mm, L2 = 615.5 mm, A = 880.1600000000001 mm² and F = 586 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) = 616 mm
Final Length (L2) = 615.5 mm
Change in Length (ΔL) = ?
Area (A) = 880.1600000000001 mm²
Force (F) = 586 N
Calculating Stress
=> Convert the Area (A) 880.1600000000001 mm² to "square meter (m²)"
F = 880.1600000000001 ÷ 1000000
F = 0.00088 m²
Substitute the value into the formula
Stress (σ) = 665788.038538 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 616 ÷ 1000
r = 0.616 m
=> convert the L1 value to "meters (m)" unit
r = 615.5 ÷ 1000
r = 0.6155 m
ΔL = 0.6155 - 0.616
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000812
As we got all the values we can calculate Young's Modulus
E = -820250863.479458 Pa
∴ Youngs's Modulus (E) = -820250863.479458 Pa
Young's Modulus of L1 = 616 mm, L2 = 615.5 mm, A = 880.1600000000001 mm² and F = 586 N results in different Units
| Values | Units |
|---|---|
| -820250863.479458 | pascals (Pa) |
| -118967.298662 | pounds per square inch (psi) |
| -8202508.634795 | hectopascals (hPa) |
| -820250.863479 | kilopascals (kPa) |
| -820.250863 | megapascal (MPa) |
| -17130939.283768 | 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 617 mm, final length 616.5 mm, area 881.1600000000001 mm² and force 587 N
- Young's modulus of initial length 618 mm, final length 617.5 mm, area 882.1600000000001 mm² and force 588 N
- Young's modulus of initial length 619 mm, final length 618.5 mm, area 883.1600000000001 mm² and force 589 N
- Young's modulus of initial length 620 mm, final length 619.5 mm, area 884.1600000000001 mm² and force 590 N
- Young's modulus of initial length 621 mm, final length 620.5 mm, area 885.1600000000001 mm² and force 591 N