Calculate Young's Modulus of L<sub>1</sub> = 184 mm, L<sub>2</sub> = 183.5 mm, A = 448.16 mm² and F = 154 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 184 mm, L2 = 183.5 mm, A = 448.16 mm² and F = 154 N i.e. -126454837.558015 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 184 mm, L2 = 183.5 mm, A = 448.16 mm² and F = 154 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) = 184 mm
Final Length (L2) = 183.5 mm
Change in Length (ΔL) = ?
Area (A) = 448.16 mm²
Force (F) = 154 N
Calculating Stress
=> Convert the Area (A) 448.16 mm² to "square meter (m²)"
F = 448.16 ÷ 1000000
F = 0.000448 m²
Substitute the value into the formula
Stress (σ) = 343627.275973 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 184 ÷ 1000
r = 0.184 m
=> convert the L1 value to "meters (m)" unit
r = 183.5 ÷ 1000
r = 0.1835 m
ΔL = 0.1835 - 0.184
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.002717
As we got all the values we can calculate Young's Modulus
E = -126454837.558015 Pa
∴ Youngs's Modulus (E) = -126454837.558015 Pa
Young's Modulus of L1 = 184 mm, L2 = 183.5 mm, A = 448.16 mm² and F = 154 N results in different Units
| Values | Units |
|---|---|
| -126454837.558015 | pascals (Pa) |
| -18340.718793 | pounds per square inch (psi) |
| -1264548.37558 | hectopascals (hPa) |
| -126454.837558 | kilopascals (kPa) |
| -126.454838 | megapascal (MPa) |
| -2641009.282399 | 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 185 mm, final length 184.5 mm, area 449.16 mm² and force 155 N
- Young's modulus of initial length 186 mm, final length 185.5 mm, area 450.16 mm² and force 156 N
- Young's modulus of initial length 187 mm, final length 186.5 mm, area 451.16 mm² and force 157 N
- Young's modulus of initial length 188 mm, final length 187.5 mm, area 452.16 mm² and force 158 N
- Young's modulus of initial length 189 mm, final length 188.5 mm, area 453.16 mm² and force 159 N