Calculate Young's Modulus of L<sub>1</sub> = 599 mm, L<sub>2</sub> = 598.5 mm, A = 863.1600000000001 mm² and F = 569 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 599 mm, L2 = 598.5 mm, A = 863.1600000000001 mm² and F = 569 N i.e. -789728439.686819 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 599 mm, L2 = 598.5 mm, A = 863.1600000000001 mm² and F = 569 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) = 599 mm
Final Length (L2) = 598.5 mm
Change in Length (ΔL) = ?
Area (A) = 863.1600000000001 mm²
Force (F) = 569 N
Calculating Stress
=> Convert the Area (A) 863.1600000000001 mm² to "square meter (m²)"
F = 863.1600000000001 ÷ 1000000
F = 0.000863 m²
Substitute the value into the formula
Stress (σ) = 659205.709254 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 599 ÷ 1000
r = 0.599 m
=> convert the L1 value to "meters (m)" unit
r = 598.5 ÷ 1000
r = 0.5985 m
ΔL = 0.5985 - 0.599
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000835
As we got all the values we can calculate Young's Modulus
E = -789728439.686819 Pa
∴ Youngs's Modulus (E) = -789728439.686819 Pa
Young's Modulus of L1 = 599 mm, L2 = 598.5 mm, A = 863.1600000000001 mm² and F = 569 N results in different Units
| Values | Units |
|---|---|
| -789728439.686819 | pascals (Pa) |
| -114540.396517 | pounds per square inch (psi) |
| -7897284.396868 | hectopascals (hPa) |
| -789728.439687 | kilopascals (kPa) |
| -789.72844 | megapascal (MPa) |
| -16493478.462859 | 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 600 mm, final length 599.5 mm, area 864.1600000000001 mm² and force 570 N
- 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