Calculate Young's Modulus of L<sub>1</sub> = 607 mm, L<sub>2</sub> = 606.5 mm, A = 871.1600000000001 mm² and F = 577 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 607 mm, L2 = 606.5 mm, A = 871.1600000000001 mm² and F = 577 N i.e. -804075026.401668 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 607 mm, L2 = 606.5 mm, A = 871.1600000000001 mm² and F = 577 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) = 607 mm
Final Length (L2) = 606.5 mm
Change in Length (ΔL) = ?
Area (A) = 871.1600000000001 mm²
Force (F) = 577 N
Calculating Stress
=> Convert the Area (A) 871.1600000000001 mm² to "square meter (m²)"
F = 871.1600000000001 ÷ 1000000
F = 0.000871 m²
Substitute the value into the formula
Stress (σ) = 662335.277102 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 607 ÷ 1000
r = 0.607 m
=> convert the L1 value to "meters (m)" unit
r = 606.5 ÷ 1000
r = 0.6065 m
ΔL = 0.6065 - 0.607
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000824
As we got all the values we can calculate Young's Modulus
E = -804075026.401668 Pa
∴ Youngs's Modulus (E) = -804075026.401668 Pa
Young's Modulus of L1 = 607 mm, L2 = 606.5 mm, A = 871.1600000000001 mm² and F = 577 N results in different Units
| Values | Units |
|---|---|
| -804075026.401668 | pascals (Pa) |
| -116621.192457 | pounds per square inch (psi) |
| -8040750.264017 | hectopascals (hPa) |
| -804075.026402 | kilopascals (kPa) |
| -804.075026 | megapascal (MPa) |
| -16793106.926399 | 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 608 mm, final length 607.5 mm, area 872.1600000000001 mm² and force 578 N
- Young's modulus of initial length 609 mm, final length 608.5 mm, area 873.1600000000001 mm² and force 579 N
- Young's modulus of initial length 610 mm, final length 609.5 mm, area 874.1600000000001 mm² and force 580 N
- Young's modulus of initial length 611 mm, final length 610.5 mm, area 875.1600000000001 mm² and force 581 N
- Young's modulus of initial length 612 mm, final length 611.5 mm, area 876.1600000000001 mm² and force 582 N