Calculate Young's Modulus of L<sub>1</sub> = 136 mm, L<sub>2</sub> = 135.5 mm, A = 400.16 mm² and F = 106 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 136 mm, L2 = 135.5 mm, A = 400.16 mm² and F = 106 N i.e. -72051179.528189 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 136 mm, L2 = 135.5 mm, A = 400.16 mm² and F = 106 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) = 136 mm
Final Length (L2) = 135.5 mm
Change in Length (ΔL) = ?
Area (A) = 400.16 mm²
Force (F) = 106 N
Calculating Stress
=> Convert the Area (A) 400.16 mm² to "square meter (m²)"
F = 400.16 ÷ 1000000
F = 0.0004 m²
Substitute the value into the formula
Stress (σ) = 264894.042383 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 136 ÷ 1000
r = 0.136 m
=> convert the L1 value to "meters (m)" unit
r = 135.5 ÷ 1000
r = 0.1355 m
ΔL = 0.1355 - 0.136
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003676
As we got all the values we can calculate Young's Modulus
E = -72051179.528189 Pa
∴ Youngs's Modulus (E) = -72051179.528189 Pa
Young's Modulus of L1 = 136 mm, L2 = 135.5 mm, A = 400.16 mm² and F = 106 N results in different Units
| Values | Units |
|---|---|
| -72051179.528189 | pascals (Pa) |
| -10450.137361 | pounds per square inch (psi) |
| -720511.795282 | hectopascals (hPa) |
| -72051.179528 | kilopascals (kPa) |
| -72.05118 | megapascal (MPa) |
| -1504788.884446 | 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 137 mm, final length 136.5 mm, area 401.16 mm² and force 107 N
- Young's modulus of initial length 138 mm, final length 137.5 mm, area 402.16 mm² and force 108 N
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