Calculate Young's Modulus of L<sub>1</sub> = 84 mm, L<sub>2</sub> = 83.5 mm, A = 348.16 mm² and F = 54 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 84 mm, L2 = 83.5 mm, A = 348.16 mm² and F = 54 N i.e. -26056985.294118 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 84 mm, L2 = 83.5 mm, A = 348.16 mm² and F = 54 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) = 84 mm
Final Length (L2) = 83.5 mm
Change in Length (ΔL) = ?
Area (A) = 348.16 mm²
Force (F) = 54 N
Calculating Stress
=> Convert the Area (A) 348.16 mm² to "square meter (m²)"
F = 348.16 ÷ 1000000
F = 0.000348 m²
Substitute the value into the formula
Stress (σ) = 155101.102941 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 84 ÷ 1000
r = 0.084 m
=> convert the L1 value to "meters (m)" unit
r = 83.5 ÷ 1000
r = 0.0835 m
ΔL = 0.0835 - 0.084
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.005952
As we got all the values we can calculate Young's Modulus
E = -26056985.294118 Pa
∴ Youngs's Modulus (E) = -26056985.294118 Pa
Young's Modulus of L1 = 84 mm, L2 = 83.5 mm, A = 348.16 mm² and F = 54 N results in different Units
Values | Units |
---|---|
-26056985.294118 | pascals (Pa) |
-3779.245216 | pounds per square inch (psi) |
-260569.852941 | hectopascals (hPa) |
-26056.985294 | kilopascals (kPa) |
-26.056985 | megapascal (MPa) |
-544200.137868 | 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 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
- Young's modulus of initial length 89 mm, final length 88.5 mm, area 353.16 mm² and force 59 N