Calculate Young's Modulus of L<sub>1</sub> = 536 mm, L<sub>2</sub> = 535.5 mm, A = 800.1600000000001 mm² and F = 506 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 536 mm, L2 = 535.5 mm, A = 800.1600000000001 mm² and F = 506 N i.e. -677904419.116101 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 536 mm, L2 = 535.5 mm, A = 800.1600000000001 mm² and F = 506 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) = 536 mm
Final Length (L2) = 535.5 mm
Change in Length (ΔL) = ?
Area (A) = 800.1600000000001 mm²
Force (F) = 506 N
Calculating Stress
=> Convert the Area (A) 800.1600000000001 mm² to "square meter (m²)"
F = 800.1600000000001 ÷ 1000000
F = 0.0008 m²
Substitute the value into the formula
Stress (σ) = 632373.525295 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 536 ÷ 1000
r = 0.536 m
=> convert the L1 value to "meters (m)" unit
r = 535.5 ÷ 1000
r = 0.5355 m
ΔL = 0.5355 - 0.536
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000933
As we got all the values we can calculate Young's Modulus
E = -677904419.116101 Pa
∴ Youngs's Modulus (E) = -677904419.116101 Pa
Young's Modulus of L1 = 536 mm, L2 = 535.5 mm, A = 800.1600000000001 mm² and F = 506 N results in different Units
| Values | Units |
|---|---|
| -677904419.116101 | pascals (Pa) |
| -98321.697768 | pounds per square inch (psi) |
| -6779044.191161 | hectopascals (hPa) |
| -677904.419116 | kilopascals (kPa) |
| -677.904419 | megapascal (MPa) |
| -14158033.79324 | 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 537 mm, final length 536.5 mm, area 801.1600000000001 mm² and force 507 N
- Young's modulus of initial length 538 mm, final length 537.5 mm, area 802.1600000000001 mm² and force 508 N
- Young's modulus of initial length 539 mm, final length 538.5 mm, area 803.1600000000001 mm² and force 509 N
- Young's modulus of initial length 540 mm, final length 539.5 mm, area 804.1600000000001 mm² and force 510 N
- Young's modulus of initial length 541 mm, final length 540.5 mm, area 805.1600000000001 mm² and force 511 N