Calculate Young's Modulus of L<sub>1</sub> = 106 mm, L<sub>2</sub> = 105.5 mm, A = 370.16 mm² and F = 76 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 106 mm, L2 = 105.5 mm, A = 370.16 mm² and F = 76 N i.e. -43527123.406095 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 106 mm, L2 = 105.5 mm, A = 370.16 mm² and F = 76 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) = 106 mm
Final Length (L2) = 105.5 mm
Change in Length (ΔL) = ?
Area (A) = 370.16 mm²
Force (F) = 76 N
Calculating Stress
=> Convert the Area (A) 370.16 mm² to "square meter (m²)"
F = 370.16 ÷ 1000000
F = 0.00037 m²
Substitute the value into the formula
Stress (σ) = 205316.61984 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 106 ÷ 1000
r = 0.106 m
=> convert the L1 value to "meters (m)" unit
r = 105.5 ÷ 1000
r = 0.1055 m
ΔL = 0.1055 - 0.106
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.004717
As we got all the values we can calculate Young's Modulus
E = -43527123.406095 Pa
∴ Youngs's Modulus (E) = -43527123.406095 Pa
Young's Modulus of L1 = 106 mm, L2 = 105.5 mm, A = 370.16 mm² and F = 76 N results in different Units
| Values | Units |
|---|---|
| -43527123.406095 | pascals (Pa) |
| -6313.073866 | pounds per square inch (psi) |
| -435271.234061 | hectopascals (hPa) |
| -43527.123406 | kilopascals (kPa) |
| -43.527123 | megapascal (MPa) |
| -909063.972336 | 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 107 mm, final length 106.5 mm, area 371.16 mm² and force 77 N
- Young's modulus of initial length 108 mm, final length 107.5 mm, area 372.16 mm² and force 78 N
- Young's modulus of initial length 109 mm, final length 108.5 mm, area 373.16 mm² and force 79 N
- Young's modulus of initial length 110 mm, final length 109.5 mm, area 374.16 mm² and force 80 N
- Young's modulus of initial length 111 mm, final length 110.5 mm, area 375.16 mm² and force 81 N