Calculate Young's Modulus of L<sub>1</sub> = 54 mm, L<sub>2</sub> = 53.5 mm, A = 318.16 mm² and F = 24 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 54 mm, L2 = 53.5 mm, A = 318.16 mm² and F = 24 N i.e. -8146844.355041 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 54 mm, L2 = 53.5 mm, A = 318.16 mm² and F = 24 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) = 54 mm
Final Length (L2) = 53.5 mm
Change in Length (ΔL) = ?
Area (A) = 318.16 mm²
Force (F) = 24 N
Calculating Stress
=> Convert the Area (A) 318.16 mm² to "square meter (m²)"
F = 318.16 ÷ 1000000
F = 0.000318 m²
Substitute the value into the formula
Stress (σ) = 75433.744028 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 54 ÷ 1000
r = 0.054 m
=> convert the L1 value to "meters (m)" unit
r = 53.5 ÷ 1000
r = 0.0535 m
ΔL = 0.0535 - 0.054
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.009259
As we got all the values we can calculate Young's Modulus
E = -8146844.355041 Pa
∴ Youngs's Modulus (E) = -8146844.355041 Pa
Young's Modulus of L1 = 54 mm, L2 = 53.5 mm, A = 318.16 mm² and F = 24 N results in different Units
| Values | Units |
|---|---|
| -8146844.355041 | pascals (Pa) |
| -1181.599568 | pounds per square inch (psi) |
| -81468.44355 | hectopascals (hPa) |
| -8146.844355 | kilopascals (kPa) |
| -8.146844 | megapascal (MPa) |
| -170146.844355 | 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 55 mm, final length 54.5 mm, area 319.16 mm² and force 25 N
- Young's modulus of initial length 56 mm, final length 55.5 mm, area 320.16 mm² and force 26 N
- Young's modulus of initial length 57 mm, final length 56.5 mm, area 321.16 mm² and force 27 N
- Young's modulus of initial length 58 mm, final length 57.5 mm, area 322.16 mm² and force 28 N
- Young's modulus of initial length 59 mm, final length 58.5 mm, area 323.16 mm² and force 29 N