Calculate Young's Modulus of L<sub>1</sub> = 600 mm, L<sub>2</sub> = 599.5 mm, A = 864.1600000000001 mm² and F = 570 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 600 mm, L2 = 599.5 mm, A = 864.1600000000001 mm² and F = 570 N i.e. -791520088.872518 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 600 mm, L2 = 599.5 mm, A = 864.1600000000001 mm² and F = 570 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) = 600 mm
Final Length (L2) = 599.5 mm
Change in Length (ΔL) = ?
Area (A) = 864.1600000000001 mm²
Force (F) = 570 N
Calculating Stress
=> Convert the Area (A) 864.1600000000001 mm² to "square meter (m²)"
F = 864.1600000000001 ÷ 1000000
F = 0.000864 m²
Substitute the value into the formula
Stress (σ) = 659600.07406 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 600 ÷ 1000
r = 0.6 m
=> convert the L1 value to "meters (m)" unit
r = 599.5 ÷ 1000
r = 0.5995 m
ΔL = 0.5995 - 0.6
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000833
As we got all the values we can calculate Young's Modulus
E = -791520088.872518 Pa
∴ Youngs's Modulus (E) = -791520088.872518 Pa
Young's Modulus of L1 = 600 mm, L2 = 599.5 mm, A = 864.1600000000001 mm² and F = 570 N results in different Units
| Values | Units |
|---|---|
| -791520088.872518 | pascals (Pa) |
| -114800.253194 | pounds per square inch (psi) |
| -7915200.888725 | hectopascals (hPa) |
| -791520.088873 | kilopascals (kPa) |
| -791.520089 | megapascal (MPa) |
| -16530897.056103 | 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 601 mm, final length 600.5 mm, area 865.1600000000001 mm² and force 571 N
- Young's modulus of initial length 602 mm, final length 601.5 mm, area 866.1600000000001 mm² and force 572 N
- Young's modulus of initial length 603 mm, final length 602.5 mm, area 867.1600000000001 mm² and force 573 N
- Young's modulus of initial length 604 mm, final length 603.5 mm, area 868.1600000000001 mm² and force 574 N
- Young's modulus of initial length 605 mm, final length 604.5 mm, area 869.1600000000001 mm² and force 575 N