Calculate Young's Modulus of L<sub>1</sub> = 427 mm, L<sub>2</sub> = 426.5 mm, A = 691.1600000000001 mm² and F = 397 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 427 mm, L2 = 426.5 mm, A = 691.1600000000001 mm² and F = 397 N i.e. -490534753.168586 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 427 mm, L2 = 426.5 mm, A = 691.1600000000001 mm² and F = 397 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) = 427 mm
Final Length (L2) = 426.5 mm
Change in Length (ΔL) = ?
Area (A) = 691.1600000000001 mm²
Force (F) = 397 N
Calculating Stress
=> Convert the Area (A) 691.1600000000001 mm² to "square meter (m²)"
F = 691.1600000000001 ÷ 1000000
F = 0.000691 m²
Substitute the value into the formula
Stress (σ) = 574396.666474 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 427 ÷ 1000
r = 0.427 m
=> convert the L1 value to "meters (m)" unit
r = 426.5 ÷ 1000
r = 0.4265 m
ΔL = 0.4265 - 0.427
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001171
As we got all the values we can calculate Young's Modulus
E = -490534753.168586 Pa
∴ Youngs's Modulus (E) = -490534753.168586 Pa
Young's Modulus of L1 = 427 mm, L2 = 426.5 mm, A = 691.1600000000001 mm² and F = 397 N results in different Units
| Values | Units |
|---|---|
| -490534753.168586 | pascals (Pa) |
| -71146.03237 | pounds per square inch (psi) |
| -4905347.531686 | hectopascals (hPa) |
| -490534.753169 | kilopascals (kPa) |
| -490.534753 | megapascal (MPa) |
| -10244818.319926 | 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 428 mm, final length 427.5 mm, area 692.1600000000001 mm² and force 398 N
- Young's modulus of initial length 429 mm, final length 428.5 mm, area 693.1600000000001 mm² and force 399 N
- Young's modulus of initial length 430 mm, final length 429.5 mm, area 694.1600000000001 mm² and force 400 N
- Young's modulus of initial length 431 mm, final length 430.5 mm, area 695.1600000000001 mm² and force 401 N
- Young's modulus of initial length 432 mm, final length 431.5 mm, area 696.1600000000001 mm² and force 402 N