Calculate Young's Modulus of L<sub>1</sub> = 115 mm, L<sub>2</sub> = 114.5 mm, A = 379.16 mm² and F = 85 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 115 mm, L2 = 114.5 mm, A = 379.16 mm² and F = 85 N i.e. -51561346.133558 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 115 mm, L2 = 114.5 mm, A = 379.16 mm² and F = 85 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) = 115 mm
Final Length (L2) = 114.5 mm
Change in Length (ΔL) = ?
Area (A) = 379.16 mm²
Force (F) = 85 N
Calculating Stress
=> Convert the Area (A) 379.16 mm² to "square meter (m²)"
F = 379.16 ÷ 1000000
F = 0.000379 m²
Substitute the value into the formula
Stress (σ) = 224179.765798 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 115 ÷ 1000
r = 0.115 m
=> convert the L1 value to "meters (m)" unit
r = 114.5 ÷ 1000
r = 0.1145 m
ΔL = 0.1145 - 0.115
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.004348
As we got all the values we can calculate Young's Modulus
E = -51561346.133558 Pa
∴ Youngs's Modulus (E) = -51561346.133558 Pa
Young's Modulus of L1 = 115 mm, L2 = 114.5 mm, A = 379.16 mm² and F = 85 N results in different Units
| Values | Units |
|---|---|
| -51561346.133558 | pascals (Pa) |
| -7478.339052 | pounds per square inch (psi) |
| -515613.461336 | hectopascals (hPa) |
| -51561.346134 | kilopascals (kPa) |
| -51.561346 | megapascal (MPa) |
| -1076858.713999 | 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 116 mm, final length 115.5 mm, area 380.16 mm² and force 86 N
- Young's modulus of initial length 117 mm, final length 116.5 mm, area 381.16 mm² and force 87 N
- Young's modulus of initial length 118 mm, final length 117.5 mm, area 382.16 mm² and force 88 N
- Young's modulus of initial length 119 mm, final length 118.5 mm, area 383.16 mm² and force 89 N
- Young's modulus of initial length 120 mm, final length 119.5 mm, area 384.16 mm² and force 90 N