Calculate Young's Modulus of L<sub>1</sub> = 552 mm, L<sub>2</sub> = 551.5 mm, A = 816.1600000000001 mm² and F = 522 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 552 mm, L2 = 551.5 mm, A = 816.1600000000001 mm² and F = 522 N i.e. -706096843.756047 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 552 mm, L2 = 551.5 mm, A = 816.1600000000001 mm² and F = 522 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) = 552 mm
Final Length (L2) = 551.5 mm
Change in Length (ΔL) = ?
Area (A) = 816.1600000000001 mm²
Force (F) = 522 N
Calculating Stress
=> Convert the Area (A) 816.1600000000001 mm² to "square meter (m²)"
F = 816.1600000000001 ÷ 1000000
F = 0.000816 m²
Substitute the value into the formula
Stress (σ) = 639580.474417 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 552 ÷ 1000
r = 0.552 m
=> convert the L1 value to "meters (m)" unit
r = 551.5 ÷ 1000
r = 0.5515 m
ΔL = 0.5515 - 0.552
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000906
As we got all the values we can calculate Young's Modulus
E = -706096843.756047 Pa
∴ Youngs's Modulus (E) = -706096843.756047 Pa
Young's Modulus of L1 = 552 mm, L2 = 551.5 mm, A = 816.1600000000001 mm² and F = 522 N results in different Units
| Values | Units |
|---|---|
| -706096843.756047 | pascals (Pa) |
| -102410.662196 | pounds per square inch (psi) |
| -7060968.43756 | hectopascals (hPa) |
| -706096.843756 | kilopascals (kPa) |
| -706.096844 | megapascal (MPa) |
| -14746832.581845 | 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 553 mm, final length 552.5 mm, area 817.1600000000001 mm² and force 523 N
- Young's modulus of initial length 554 mm, final length 553.5 mm, area 818.1600000000001 mm² and force 524 N
- Young's modulus of initial length 555 mm, final length 554.5 mm, area 819.1600000000001 mm² and force 525 N
- Young's modulus of initial length 556 mm, final length 555.5 mm, area 820.1600000000001 mm² and force 526 N
- Young's modulus of initial length 557 mm, final length 556.5 mm, area 821.1600000000001 mm² and force 527 N