Calculate Young's Modulus of L<sub>1</sub> = 408 mm, L<sub>2</sub> = 407.5 mm, A = 672.1600000000001 mm² and F = 378 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 408 mm, L2 = 407.5 mm, A = 672.1600000000001 mm² and F = 378 N i.e. -458890740.299928 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 408 mm, L2 = 407.5 mm, A = 672.1600000000001 mm² and F = 378 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) = 408 mm
Final Length (L2) = 407.5 mm
Change in Length (ΔL) = ?
Area (A) = 672.1600000000001 mm²
Force (F) = 378 N
Calculating Stress
=> Convert the Area (A) 672.1600000000001 mm² to "square meter (m²)"
F = 672.1600000000001 ÷ 1000000
F = 0.000672 m²
Substitute the value into the formula
Stress (σ) = 562366.103309 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 408 ÷ 1000
r = 0.408 m
=> convert the L1 value to "meters (m)" unit
r = 407.5 ÷ 1000
r = 0.4075 m
ΔL = 0.4075 - 0.408
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001225
As we got all the values we can calculate Young's Modulus
E = -458890740.299928 Pa
∴ Youngs's Modulus (E) = -458890740.299928 Pa
Young's Modulus of L1 = 408 mm, L2 = 407.5 mm, A = 672.1600000000001 mm² and F = 378 N results in different Units
| Values | Units |
|---|---|
| -458890740.299928 | pascals (Pa) |
| -66556.457524 | pounds per square inch (psi) |
| -4588907.402999 | hectopascals (hPa) |
| -458890.7403 | kilopascals (kPa) |
| -458.89074 | megapascal (MPa) |
| -9583933.111164 | 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 409 mm, final length 408.5 mm, area 673.1600000000001 mm² and force 379 N
- Young's modulus of initial length 410 mm, final length 409.5 mm, area 674.1600000000001 mm² and force 380 N
- Young's modulus of initial length 411 mm, final length 410.5 mm, area 675.1600000000001 mm² and force 381 N
- Young's modulus of initial length 412 mm, final length 411.5 mm, area 676.1600000000001 mm² and force 382 N
- Young's modulus of initial length 413 mm, final length 412.5 mm, area 677.1600000000001 mm² and force 383 N