Calculate Young's Modulus of L<sub>1</sub> = 143 mm, L<sub>2</sub> = 142.5 mm, A = 407.16 mm² and F = 113 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 143 mm, L2 = 142.5 mm, A = 407.16 mm² and F = 113 N i.e. -79374201.787995 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 143 mm, L2 = 142.5 mm, A = 407.16 mm² and F = 113 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) = 143 mm
Final Length (L2) = 142.5 mm
Change in Length (ΔL) = ?
Area (A) = 407.16 mm²
Force (F) = 113 N
Calculating Stress
=> Convert the Area (A) 407.16 mm² to "square meter (m²)"
F = 407.16 ÷ 1000000
F = 0.000407 m²
Substitute the value into the formula
Stress (σ) = 277532.174084 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 143 ÷ 1000
r = 0.143 m
=> convert the L1 value to "meters (m)" unit
r = 142.5 ÷ 1000
r = 0.1425 m
ΔL = 0.1425 - 0.143
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003497
As we got all the values we can calculate Young's Modulus
E = -79374201.787995 Pa
∴ Youngs's Modulus (E) = -79374201.787995 Pa
Young's Modulus of L1 = 143 mm, L2 = 142.5 mm, A = 407.16 mm² and F = 113 N results in different Units
| Values | Units |
|---|---|
| -79374201.787995 | pascals (Pa) |
| -11512.251667 | pounds per square inch (psi) |
| -793742.01788 | hectopascals (hPa) |
| -79374.201788 | kilopascals (kPa) |
| -79.374202 | megapascal (MPa) |
| -1657730.204342 | 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 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
- Young's modulus of initial length 147 mm, final length 146.5 mm, area 411.16 mm² and force 117 N
- Young's modulus of initial length 148 mm, final length 147.5 mm, area 412.16 mm² and force 118 N