Calculate Young's Modulus of L<sub>1</sub> = 141 mm, L<sub>2</sub> = 140.5 mm, A = 405.16 mm² and F = 111 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 141 mm, L2 = 140.5 mm, A = 405.16 mm² and F = 111 N i.e. -77258367.064867 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 141 mm, L2 = 140.5 mm, A = 405.16 mm² and F = 111 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) = 141 mm
Final Length (L2) = 140.5 mm
Change in Length (ΔL) = ?
Area (A) = 405.16 mm²
Force (F) = 111 N
Calculating Stress
=> Convert the Area (A) 405.16 mm² to "square meter (m²)"
F = 405.16 ÷ 1000000
F = 0.000405 m²
Substitute the value into the formula
Stress (σ) = 273965.840656 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 141 ÷ 1000
r = 0.141 m
=> convert the L1 value to "meters (m)" unit
r = 140.5 ÷ 1000
r = 0.1405 m
ΔL = 0.1405 - 0.141
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003546
As we got all the values we can calculate Young's Modulus
E = -77258367.064867 Pa
∴ Youngs's Modulus (E) = -77258367.064867 Pa
Young's Modulus of L1 = 141 mm, L2 = 140.5 mm, A = 405.16 mm² and F = 111 N results in different Units
| Values | Units |
|---|---|
| -77258367.064867 | pascals (Pa) |
| -11205.375865 | pounds per square inch (psi) |
| -772583.670649 | hectopascals (hPa) |
| -77258.367065 | kilopascals (kPa) |
| -77.258367 | megapascal (MPa) |
| -1613540.99615 | 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 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
- Young's modulus of initial length 144 mm, final length 143.5 mm, area 408.16 mm² and force 114 N
- Young's modulus of initial length 145 mm, final length 144.5 mm, area 409.16 mm² and force 115 N
- Young's modulus of initial length 146 mm, final length 145.5 mm, area 410.16 mm² and force 116 N