Calculate Young's Modulus of L<sub>1</sub> = 138 mm, L<sub>2</sub> = 137.5 mm, A = 402.16 mm² and F = 108 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 138 mm, L2 = 137.5 mm, A = 402.16 mm² and F = 108 N i.e. -74119753.332007 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 138 mm, L2 = 137.5 mm, A = 402.16 mm² and F = 108 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) = 138 mm
Final Length (L2) = 137.5 mm
Change in Length (ΔL) = ?
Area (A) = 402.16 mm²
Force (F) = 108 N
Calculating Stress
=> Convert the Area (A) 402.16 mm² to "square meter (m²)"
F = 402.16 ÷ 1000000
F = 0.000402 m²
Substitute the value into the formula
Stress (σ) = 268549.830913 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 138 ÷ 1000
r = 0.138 m
=> convert the L1 value to "meters (m)" unit
r = 137.5 ÷ 1000
r = 0.1375 m
ΔL = 0.1375 - 0.138
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003623
As we got all the values we can calculate Young's Modulus
E = -74119753.332007 Pa
∴ Youngs's Modulus (E) = -74119753.332007 Pa
Young's Modulus of L1 = 138 mm, L2 = 137.5 mm, A = 402.16 mm² and F = 108 N results in different Units
| Values | Units |
|---|---|
| -74119753.332007 | pascals (Pa) |
| -10750.158548 | pounds per square inch (psi) |
| -741197.53332 | hectopascals (hPa) |
| -74119.753332 | kilopascals (kPa) |
| -74.119753 | megapascal (MPa) |
| -1547991.048339 | 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 139 mm, final length 138.5 mm, area 403.16 mm² and force 109 N
- Young's modulus of initial length 140 mm, final length 139.5 mm, area 404.16 mm² and force 110 N
- Young's modulus of initial length 141 mm, final length 140.5 mm, area 405.16 mm² and force 111 N
- Young's modulus of initial length 142 mm, final length 141.5 mm, area 406.16 mm² and force 112 N
- Young's modulus of initial length 143 mm, final length 142.5 mm, area 407.16 mm² and force 113 N