Calculate Young's Modulus of L<sub>1</sub> = 557 mm, L<sub>2</sub> = 556.5 mm, A = 821.1600000000001 mm² and F = 527 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 557 mm, L2 = 556.5 mm, A = 821.1600000000001 mm² and F = 527 N i.e. -714937405.621236 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 557 mm, L2 = 556.5 mm, A = 821.1600000000001 mm² and F = 527 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) = 557 mm
Final Length (L2) = 556.5 mm
Change in Length (ΔL) = ?
Area (A) = 821.1600000000001 mm²
Force (F) = 527 N
Calculating Stress
=> Convert the Area (A) 821.1600000000001 mm² to "square meter (m²)"
F = 821.1600000000001 ÷ 1000000
F = 0.000821 m²
Substitute the value into the formula
Stress (σ) = 641775.049929 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 557 ÷ 1000
r = 0.557 m
=> convert the L1 value to "meters (m)" unit
r = 556.5 ÷ 1000
r = 0.5565 m
ΔL = 0.5565 - 0.557
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000898
As we got all the values we can calculate Young's Modulus
E = -714937405.621236 Pa
∴ Youngs's Modulus (E) = -714937405.621236 Pa
Young's Modulus of L1 = 557 mm, L2 = 556.5 mm, A = 821.1600000000001 mm² and F = 527 N results in different Units
| Values | Units |
|---|---|
| -714937405.621236 | pascals (Pa) |
| -103692.876955 | pounds per square inch (psi) |
| -7149374.056212 | hectopascals (hPa) |
| -714937.405621 | kilopascals (kPa) |
| -714.937406 | megapascal (MPa) |
| -14931467.7164 | 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 558 mm, final length 557.5 mm, area 822.1600000000001 mm² and force 528 N
- Young's modulus of initial length 559 mm, final length 558.5 mm, area 823.1600000000001 mm² and force 529 N
- Young's modulus of initial length 560 mm, final length 559.5 mm, area 824.1600000000001 mm² and force 530 N
- Young's modulus of initial length 561 mm, final length 560.5 mm, area 825.1600000000001 mm² and force 531 N
- Young's modulus of initial length 562 mm, final length 561.5 mm, area 826.1600000000001 mm² and force 532 N