Calculate Young's Modulus of L<sub>1</sub> = 164 mm, L<sub>2</sub> = 163.5 mm, A = 428.16 mm² and F = 134 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 164 mm, L2 = 163.5 mm, A = 428.16 mm² and F = 134 N i.e. -102653213.751868 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 164 mm, L2 = 163.5 mm, A = 428.16 mm² and F = 134 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) = 164 mm
Final Length (L2) = 163.5 mm
Change in Length (ΔL) = ?
Area (A) = 428.16 mm²
Force (F) = 134 N
Calculating Stress
=> Convert the Area (A) 428.16 mm² to "square meter (m²)"
F = 428.16 ÷ 1000000
F = 0.000428 m²
Substitute the value into the formula
Stress (σ) = 312967.115097 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 164 ÷ 1000
r = 0.164 m
=> convert the L1 value to "meters (m)" unit
r = 163.5 ÷ 1000
r = 0.1635 m
ΔL = 0.1635 - 0.164
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003049
As we got all the values we can calculate Young's Modulus
E = -102653213.751868 Pa
∴ Youngs's Modulus (E) = -102653213.751868 Pa
Young's Modulus of L1 = 164 mm, L2 = 163.5 mm, A = 428.16 mm² and F = 134 N results in different Units
| Values | Units |
|---|---|
| -102653213.751868 | pascals (Pa) |
| -14888.58602 | pounds per square inch (psi) |
| -1026532.137519 | hectopascals (hPa) |
| -102653.213752 | kilopascals (kPa) |
| -102.653214 | megapascal (MPa) |
| -2143912.369208 | 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 165 mm, final length 164.5 mm, area 429.16 mm² and force 135 N
- Young's modulus of initial length 166 mm, final length 165.5 mm, area 430.16 mm² and force 136 N
- 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