Calculate Young's Modulus of L<sub>1</sub> = 166 mm, L<sub>2</sub> = 165.5 mm, A = 430.16 mm² and F = 136 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 166 mm, L2 = 165.5 mm, A = 430.16 mm² and F = 136 N i.e. -104965594.197508 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 166 mm, L2 = 165.5 mm, A = 430.16 mm² and F = 136 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) = 166 mm
Final Length (L2) = 165.5 mm
Change in Length (ΔL) = ?
Area (A) = 430.16 mm²
Force (F) = 136 N
Calculating Stress
=> Convert the Area (A) 430.16 mm² to "square meter (m²)"
F = 430.16 ÷ 1000000
F = 0.00043 m²
Substitute the value into the formula
Stress (σ) = 316161.428306 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 166 ÷ 1000
r = 0.166 m
=> convert the L1 value to "meters (m)" unit
r = 165.5 ÷ 1000
r = 0.1655 m
ΔL = 0.1655 - 0.166
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003012
As we got all the values we can calculate Young's Modulus
E = -104965594.197508 Pa
∴ Youngs's Modulus (E) = -104965594.197508 Pa
Young's Modulus of L1 = 166 mm, L2 = 165.5 mm, A = 430.16 mm² and F = 136 N results in different Units
| Values | Units |
|---|---|
| -104965594.197508 | pascals (Pa) |
| -15223.968362 | pounds per square inch (psi) |
| -1049655.941975 | hectopascals (hPa) |
| -104965.594198 | kilopascals (kPa) |
| -104.965594 | megapascal (MPa) |
| -2192206.434815 | 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 167 mm, final length 166.5 mm, area 431.16 mm² and force 137 N
- Young's modulus of initial length 168 mm, final length 167.5 mm, area 432.16 mm² and force 138 N
- Young's modulus of initial length 169 mm, final length 168.5 mm, area 433.16 mm² and force 139 N
- Young's modulus of initial length 170 mm, final length 169.5 mm, area 434.16 mm² and force 140 N
- Young's modulus of initial length 171 mm, final length 170.5 mm, area 435.16 mm² and force 141 N