Calculate Young's Modulus of L<sub>1</sub> = 414 mm, L<sub>2</sub> = 413.5 mm, A = 678.1600000000001 mm² and F = 384 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 414 mm, L2 = 413.5 mm, A = 678.1600000000001 mm² and F = 384 N i.e. -468845110.298454 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 414 mm, L2 = 413.5 mm, A = 678.1600000000001 mm² and F = 384 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) = 414 mm
Final Length (L2) = 413.5 mm
Change in Length (ΔL) = ?
Area (A) = 678.1600000000001 mm²
Force (F) = 384 N
Calculating Stress
=> Convert the Area (A) 678.1600000000001 mm² to "square meter (m²)"
F = 678.1600000000001 ÷ 1000000
F = 0.000678 m²
Substitute the value into the formula
Stress (σ) = 566238.055916 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 414 ÷ 1000
r = 0.414 m
=> convert the L1 value to "meters (m)" unit
r = 413.5 ÷ 1000
r = 0.4135 m
ΔL = 0.4135 - 0.414
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001208
As we got all the values we can calculate Young's Modulus
E = -468845110.298454 Pa
∴ Youngs's Modulus (E) = -468845110.298454 Pa
Young's Modulus of L1 = 414 mm, L2 = 413.5 mm, A = 678.1600000000001 mm² and F = 384 N results in different Units
| Values | Units |
|---|---|
| -468845110.298454 | pascals (Pa) |
| -68000.216454 | pounds per square inch (psi) |
| -4688451.102985 | hectopascals (hPa) |
| -468845.110298 | kilopascals (kPa) |
| -468.84511 | megapascal (MPa) |
| -9791830.128583 | 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 415 mm, final length 414.5 mm, area 679.1600000000001 mm² and force 385 N
- Young's modulus of initial length 416 mm, final length 415.5 mm, area 680.1600000000001 mm² and force 386 N
- Young's modulus of initial length 417 mm, final length 416.5 mm, area 681.1600000000001 mm² and force 387 N
- Young's modulus of initial length 418 mm, final length 417.5 mm, area 682.1600000000001 mm² and force 388 N
- Young's modulus of initial length 419 mm, final length 418.5 mm, area 683.1600000000001 mm² and force 389 N