Calculate Young's Modulus of L<sub>1</sub> = 338 mm, L<sub>2</sub> = 337.5 mm, A = 602.1600000000001 mm² and F = 308 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 338 mm, L2 = 337.5 mm, A = 602.1600000000001 mm² and F = 308 N i.e. -345768566.493955 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 338 mm, L2 = 337.5 mm, A = 602.1600000000001 mm² and F = 308 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) = 338 mm
Final Length (L2) = 337.5 mm
Change in Length (ΔL) = ?
Area (A) = 602.1600000000001 mm²
Force (F) = 308 N
Calculating Stress
=> Convert the Area (A) 602.1600000000001 mm² to "square meter (m²)"
F = 602.1600000000001 ÷ 1000000
F = 0.000602 m²
Substitute the value into the formula
Stress (σ) = 511491.962269 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 338 ÷ 1000
r = 0.338 m
=> convert the L1 value to "meters (m)" unit
r = 337.5 ÷ 1000
r = 0.3375 m
ΔL = 0.3375 - 0.338
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001479
As we got all the values we can calculate Young's Modulus
E = -345768566.493955 Pa
∴ Youngs's Modulus (E) = -345768566.493955 Pa
Young's Modulus of L1 = 338 mm, L2 = 337.5 mm, A = 602.1600000000001 mm² and F = 308 N results in different Units
| Values | Units |
|---|---|
| -345768566.493955 | pascals (Pa) |
| -50149.477617 | pounds per square inch (psi) |
| -3457685.66494 | hectopascals (hPa) |
| -345768.566494 | kilopascals (kPa) |
| -345.768566 | megapascal (MPa) |
| -7221376.511226 | 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 339 mm, final length 338.5 mm, area 603.1600000000001 mm² and force 309 N
- Young's modulus of initial length 340 mm, final length 339.5 mm, area 604.1600000000001 mm² and force 310 N
- Young's modulus of initial length 341 mm, final length 340.5 mm, area 605.1600000000001 mm² and force 311 N
- Young's modulus of initial length 342 mm, final length 341.5 mm, area 606.1600000000001 mm² and force 312 N
- Young's modulus of initial length 343 mm, final length 342.5 mm, area 607.1600000000001 mm² and force 313 N