Calculate Young's Modulus of L<sub>1</sub> = 529 mm, L<sub>2</sub> = 528.5 mm, A = 793.1600000000001 mm² and F = 499 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 529 mm, L2 = 528.5 mm, A = 793.1600000000001 mm² and F = 499 N i.e. -665618538.504136 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 529 mm, L2 = 528.5 mm, A = 793.1600000000001 mm² and F = 499 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) = 529 mm
Final Length (L2) = 528.5 mm
Change in Length (ΔL) = ?
Area (A) = 793.1600000000001 mm²
Force (F) = 499 N
Calculating Stress
=> Convert the Area (A) 793.1600000000001 mm² to "square meter (m²)"
F = 793.1600000000001 ÷ 1000000
F = 0.000793 m²
Substitute the value into the formula
Stress (σ) = 629129.053407 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 529 ÷ 1000
r = 0.529 m
=> convert the L1 value to "meters (m)" unit
r = 528.5 ÷ 1000
r = 0.5285 m
ΔL = 0.5285 - 0.529
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000945
As we got all the values we can calculate Young's Modulus
E = -665618538.504136 Pa
∴ Youngs's Modulus (E) = -665618538.504136 Pa
Young's Modulus of L1 = 529 mm, L2 = 528.5 mm, A = 793.1600000000001 mm² and F = 499 N results in different Units
| Values | Units |
|---|---|
| -665618538.504136 | pascals (Pa) |
| -96539.781902 | pounds per square inch (psi) |
| -6656185.385041 | hectopascals (hPa) |
| -665618.538504 | kilopascals (kPa) |
| -665.618539 | megapascal (MPa) |
| -13901443.176659 | 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 530 mm, final length 529.5 mm, area 794.1600000000001 mm² and force 500 N
- Young's modulus of initial length 531 mm, final length 530.5 mm, area 795.1600000000001 mm² and force 501 N
- Young's modulus of initial length 532 mm, final length 531.5 mm, area 796.1600000000001 mm² and force 502 N
- Young's modulus of initial length 533 mm, final length 532.5 mm, area 797.1600000000001 mm² and force 503 N
- Young's modulus of initial length 534 mm, final length 533.5 mm, area 798.1600000000001 mm² and force 504 N