Calculate Young's Modulus of L<sub>1</sub> = 588 mm, L<sub>2</sub> = 587.5 mm, A = 852.1600000000001 mm² and F = 558 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 588 mm, L2 = 587.5 mm, A = 852.1600000000001 mm² and F = 558 N i.e. -770052572.286979 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 588 mm, L2 = 587.5 mm, A = 852.1600000000001 mm² and F = 558 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) = 588 mm
Final Length (L2) = 587.5 mm
Change in Length (ΔL) = ?
Area (A) = 852.1600000000001 mm²
Force (F) = 558 N
Calculating Stress
=> Convert the Area (A) 852.1600000000001 mm² to "square meter (m²)"
F = 852.1600000000001 ÷ 1000000
F = 0.000852 m²
Substitute the value into the formula
Stress (σ) = 654806.609087 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 588 ÷ 1000
r = 0.588 m
=> convert the L1 value to "meters (m)" unit
r = 587.5 ÷ 1000
r = 0.5875 m
ΔL = 0.5875 - 0.588
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00085
As we got all the values we can calculate Young's Modulus
E = -770052572.286979 Pa
∴ Youngs's Modulus (E) = -770052572.286979 Pa
Young's Modulus of L1 = 588 mm, L2 = 587.5 mm, A = 852.1600000000001 mm² and F = 558 N results in different Units
| Values | Units |
|---|---|
| -770052572.286979 | pascals (Pa) |
| -111686.653964 | pounds per square inch (psi) |
| -7700525.72287 | hectopascals (hPa) |
| -770052.572287 | kilopascals (kPa) |
| -770.052572 | megapascal (MPa) |
| -16082547.972214 | 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 589 mm, final length 588.5 mm, area 853.1600000000001 mm² and force 559 N
- Young's modulus of initial length 590 mm, final length 589.5 mm, area 854.1600000000001 mm² and force 560 N
- Young's modulus of initial length 591 mm, final length 590.5 mm, area 855.1600000000001 mm² and force 561 N
- Young's modulus of initial length 592 mm, final length 591.5 mm, area 856.1600000000001 mm² and force 562 N
- Young's modulus of initial length 593 mm, final length 592.5 mm, area 857.1600000000001 mm² and force 563 N