Calculate Young's Modulus of L<sub>1</sub> = 366 mm, L<sub>2</sub> = 365.5 mm, A = 630.1600000000001 mm² and F = 336 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 366 mm, L2 = 365.5 mm, A = 630.1600000000001 mm² and F = 336 N i.e. -390300875.968008 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 366 mm, L2 = 365.5 mm, A = 630.1600000000001 mm² and F = 336 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) = 366 mm
Final Length (L2) = 365.5 mm
Change in Length (ΔL) = ?
Area (A) = 630.1600000000001 mm²
Force (F) = 336 N
Calculating Stress
=> Convert the Area (A) 630.1600000000001 mm² to "square meter (m²)"
F = 630.1600000000001 ÷ 1000000
F = 0.00063 m²
Substitute the value into the formula
Stress (σ) = 533197.917989 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 366 ÷ 1000
r = 0.366 m
=> convert the L1 value to "meters (m)" unit
r = 365.5 ÷ 1000
r = 0.3655 m
ΔL = 0.3655 - 0.366
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001366
As we got all the values we can calculate Young's Modulus
E = -390300875.968008 Pa
∴ Youngs's Modulus (E) = -390300875.968008 Pa
Young's Modulus of L1 = 366 mm, L2 = 365.5 mm, A = 630.1600000000001 mm² and F = 336 N results in different Units
| Values | Units |
|---|---|
| -390300875.968008 | pascals (Pa) |
| -56608.341358 | pounds per square inch (psi) |
| -3903008.75968 | hectopascals (hPa) |
| -390300.875968 | kilopascals (kPa) |
| -390.300876 | megapascal (MPa) |
| -8151433.794592 | 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 367 mm, final length 366.5 mm, area 631.1600000000001 mm² and force 337 N
- Young's modulus of initial length 368 mm, final length 367.5 mm, area 632.1600000000001 mm² and force 338 N
- Young's modulus of initial length 369 mm, final length 368.5 mm, area 633.1600000000001 mm² and force 339 N
- Young's modulus of initial length 370 mm, final length 369.5 mm, area 634.1600000000001 mm² and force 340 N
- Young's modulus of initial length 371 mm, final length 370.5 mm, area 635.1600000000001 mm² and force 341 N