Calculate Young's Modulus of L<sub>1</sub> = 133 mm, L<sub>2</sub> = 132.5 mm, A = 397.16 mm² and F = 103 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 133 mm, L2 = 132.5 mm, A = 397.16 mm² and F = 103 N i.e. -68984792.023366 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 133 mm, L2 = 132.5 mm, A = 397.16 mm² and F = 103 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) = 133 mm
Final Length (L2) = 132.5 mm
Change in Length (ΔL) = ?
Area (A) = 397.16 mm²
Force (F) = 103 N
Calculating Stress
=> Convert the Area (A) 397.16 mm² to "square meter (m²)"
F = 397.16 ÷ 1000000
F = 0.000397 m²
Substitute the value into the formula
Stress (σ) = 259341.323396 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 133 ÷ 1000
r = 0.133 m
=> convert the L1 value to "meters (m)" unit
r = 132.5 ÷ 1000
r = 0.1325 m
ΔL = 0.1325 - 0.133
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003759
As we got all the values we can calculate Young's Modulus
E = -68984792.023366 Pa
∴ Youngs's Modulus (E) = -68984792.023366 Pa
Young's Modulus of L1 = 133 mm, L2 = 132.5 mm, A = 397.16 mm² and F = 103 N results in different Units
Values | Units |
---|---|
-68984792.023366 | pascals (Pa) |
-10005.39557 | pounds per square inch (psi) |
-689847.920234 | hectopascals (hPa) |
-68984.792023 | kilopascals (kPa) |
-68.984792 | megapascal (MPa) |
-1440747.381408 | 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 134 mm, final length 133.5 mm, area 398.16 mm² and force 104 N
- Young's modulus of initial length 135 mm, final length 134.5 mm, area 399.16 mm² and force 105 N
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