Calculate Young's Modulus of L<sub>1</sub> = 83 mm, L<sub>2</sub> = 82.5 mm, A = 347.16 mm² and F = 53 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 83 mm, L2 = 82.5 mm, A = 347.16 mm² and F = 53 N i.e. -25342781.426432 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 83 mm, L2 = 82.5 mm, A = 347.16 mm² and F = 53 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) = 83 mm
Final Length (L2) = 82.5 mm
Change in Length (ΔL) = ?
Area (A) = 347.16 mm²
Force (F) = 53 N
Calculating Stress
=> Convert the Area (A) 347.16 mm² to "square meter (m²)"
F = 347.16 ÷ 1000000
F = 0.000347 m²
Substitute the value into the formula
Stress (σ) = 152667.357991 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 83 ÷ 1000
r = 0.083 m
=> convert the L1 value to "meters (m)" unit
r = 82.5 ÷ 1000
r = 0.0825 m
ΔL = 0.0825 - 0.083
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.006024
As we got all the values we can calculate Young's Modulus
E = -25342781.426432 Pa
∴ Youngs's Modulus (E) = -25342781.426432 Pa
Young's Modulus of L1 = 83 mm, L2 = 82.5 mm, A = 347.16 mm² and F = 53 N results in different Units
Values | Units |
---|---|
-25342781.426432 | pascals (Pa) |
-3675.65873 | pounds per square inch (psi) |
-253427.814264 | hectopascals (hPa) |
-25342.781426 | kilopascals (kPa) |
-25.342781 | megapascal (MPa) |
-529283.990091 | 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 84 mm, final length 83.5 mm, area 348.16 mm² and force 54 N
- Young's modulus of initial length 85 mm, final length 84.5 mm, area 349.16 mm² and force 55 N
- Young's modulus of initial length 86 mm, final length 85.5 mm, area 350.16 mm² and force 56 N
- Young's modulus of initial length 87 mm, final length 86.5 mm, area 351.16 mm² and force 57 N
- Young's modulus of initial length 88 mm, final length 87.5 mm, area 352.16 mm² and force 58 N