Calculate Young's Modulus of L<sub>1</sub> = 60 mm, L<sub>2</sub> = 59.5 mm, A = 324.16 mm² and F = 30 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 60 mm, L2 = 59.5 mm, A = 324.16 mm² and F = 30 N i.e. -11105626.850938 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 60 mm, L2 = 59.5 mm, A = 324.16 mm² and F = 30 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) = 60 mm
Final Length (L2) = 59.5 mm
Change in Length (ΔL) = ?
Area (A) = 324.16 mm²
Force (F) = 30 N
Calculating Stress
=> Convert the Area (A) 324.16 mm² to "square meter (m²)"
F = 324.16 ÷ 1000000
F = 0.000324 m²
Substitute the value into the formula
Stress (σ) = 92546.890424 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 60 ÷ 1000
r = 0.06 m
=> convert the L1 value to "meters (m)" unit
r = 59.5 ÷ 1000
r = 0.0595 m
ΔL = 0.0595 - 0.06
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.008333
As we got all the values we can calculate Young's Modulus
E = -11105626.850938 Pa
∴ Youngs's Modulus (E) = -11105626.850938 Pa
Young's Modulus of L1 = 60 mm, L2 = 59.5 mm, A = 324.16 mm² and F = 30 N results in different Units
| Values | Units |
|---|---|
| -11105626.850938 | pascals (Pa) |
| -1610.734576 | pounds per square inch (psi) |
| -111056.268509 | hectopascals (hPa) |
| -11105.626851 | kilopascals (kPa) |
| -11.105627 | megapascal (MPa) |
| -231941.016782 | 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 61 mm, final length 60.5 mm, area 325.16 mm² and force 31 N
- Young's modulus of initial length 62 mm, final length 61.5 mm, area 326.16 mm² and force 32 N
- Young's modulus of initial length 63 mm, final length 62.5 mm, area 327.16 mm² and force 33 N
- Young's modulus of initial length 64 mm, final length 63.5 mm, area 328.16 mm² and force 34 N
- Young's modulus of initial length 65 mm, final length 64.5 mm, area 329.16 mm² and force 35 N