Calculate Young's Modulus of L<sub>1</sub> = 252 mm, L<sub>2</sub> = 251.5 mm, A = 516.1600000000001 mm² and F = 222 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 252 mm, L2 = 251.5 mm, A = 516.1600000000001 mm² and F = 222 N i.e. -216769993.800372 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 252 mm, L2 = 251.5 mm, A = 516.1600000000001 mm² and F = 222 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) = 252 mm
Final Length (L2) = 251.5 mm
Change in Length (ΔL) = ?
Area (A) = 516.1600000000001 mm²
Force (F) = 222 N
Calculating Stress
=> Convert the Area (A) 516.1600000000001 mm² to "square meter (m²)"
F = 516.1600000000001 ÷ 1000000
F = 0.000516 m²
Substitute the value into the formula
Stress (σ) = 430099.194048 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 252 ÷ 1000
r = 0.252 m
=> convert the L1 value to "meters (m)" unit
r = 251.5 ÷ 1000
r = 0.2515 m
ΔL = 0.2515 - 0.252
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001984
As we got all the values we can calculate Young's Modulus
E = -216769993.800372 Pa
∴ Youngs's Modulus (E) = -216769993.800372 Pa
Young's Modulus of L1 = 252 mm, L2 = 251.5 mm, A = 516.1600000000001 mm² and F = 222 N results in different Units
| Values | Units |
|---|---|
| -216769993.800372 | pascals (Pa) |
| -31439.82133 | pounds per square inch (psi) |
| -2167699.938004 | hectopascals (hPa) |
| -216769.9938 | kilopascals (kPa) |
| -216.769994 | megapascal (MPa) |
| -4527241.320521 | 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 253 mm, final length 252.5 mm, area 517.1600000000001 mm² and force 223 N
- Young's modulus of initial length 254 mm, final length 253.5 mm, area 518.1600000000001 mm² and force 224 N
- Young's modulus of initial length 255 mm, final length 254.5 mm, area 519.1600000000001 mm² and force 225 N
- Young's modulus of initial length 256 mm, final length 255.5 mm, area 520.1600000000001 mm² and force 226 N
- Young's modulus of initial length 257 mm, final length 256.5 mm, area 521.1600000000001 mm² and force 227 N