Calculate Young's Modulus of L<sub>1</sub> = 137 mm, L<sub>2</sub> = 136.5 mm, A = 401.16 mm² and F = 107 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 137 mm, L2 = 136.5 mm, A = 401.16 mm² and F = 107 N i.e. -73083059.128527 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 137 mm, L2 = 136.5 mm, A = 401.16 mm² and F = 107 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) = 137 mm
Final Length (L2) = 136.5 mm
Change in Length (ΔL) = ?
Area (A) = 401.16 mm²
Force (F) = 107 N
Calculating Stress
=> Convert the Area (A) 401.16 mm² to "square meter (m²)"
F = 401.16 ÷ 1000000
F = 0.000401 m²
Substitute the value into the formula
Stress (σ) = 266726.49317 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 137 ÷ 1000
r = 0.137 m
=> convert the L1 value to "meters (m)" unit
r = 136.5 ÷ 1000
r = 0.1365 m
ΔL = 0.1365 - 0.137
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00365
As we got all the values we can calculate Young's Modulus
E = -73083059.128527 Pa
∴ Youngs's Modulus (E) = -73083059.128527 Pa
Young's Modulus of L1 = 137 mm, L2 = 136.5 mm, A = 401.16 mm² and F = 107 N results in different Units
| Values | Units |
|---|---|
| -73083059.128527 | pascals (Pa) |
| -10599.798805 | pounds per square inch (psi) |
| -730830.591285 | hectopascals (hPa) |
| -73083.059129 | kilopascals (kPa) |
| -73.083059 | megapascal (MPa) |
| -1526339.689899 | 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 138 mm, final length 137.5 mm, area 402.16 mm² and force 108 N
- 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