Calculate Young's Modulus of L<sub>1</sub> = 113 mm, L<sub>2</sub> = 112.5 mm, A = 377.16 mm² and F = 83 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 113 mm, L2 = 112.5 mm, A = 377.16 mm² and F = 83 N i.e. -49734860.536642 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 113 mm, L2 = 112.5 mm, A = 377.16 mm² and F = 83 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) = 113 mm
Final Length (L2) = 112.5 mm
Change in Length (ΔL) = ?
Area (A) = 377.16 mm²
Force (F) = 83 N
Calculating Stress
=> Convert the Area (A) 377.16 mm² to "square meter (m²)"
F = 377.16 ÷ 1000000
F = 0.000377 m²
Substitute the value into the formula
Stress (σ) = 220065.754587 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 113 ÷ 1000
r = 0.113 m
=> convert the L1 value to "meters (m)" unit
r = 112.5 ÷ 1000
r = 0.1125 m
ΔL = 0.1125 - 0.113
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.004425
As we got all the values we can calculate Young's Modulus
E = -49734860.536642 Pa
∴ Youngs's Modulus (E) = -49734860.536642 Pa
Young's Modulus of L1 = 113 mm, L2 = 112.5 mm, A = 377.16 mm² and F = 83 N results in different Units
| Values | Units |
|---|---|
| -49734860.536642 | pascals (Pa) |
| -7213.429782 | pounds per square inch (psi) |
| -497348.605366 | hectopascals (hPa) |
| -49734.860537 | kilopascals (kPa) |
| -49.734861 | megapascal (MPa) |
| -1038712.562308 | 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 114 mm, final length 113.5 mm, area 378.16 mm² and force 84 N
- Young's modulus of initial length 115 mm, final length 114.5 mm, area 379.16 mm² and force 85 N
- Young's modulus of initial length 116 mm, final length 115.5 mm, area 380.16 mm² and force 86 N
- Young's modulus of initial length 117 mm, final length 116.5 mm, area 381.16 mm² and force 87 N
- Young's modulus of initial length 118 mm, final length 117.5 mm, area 382.16 mm² and force 88 N