Calculate Young's Modulus of L<sub>1</sub> = 117 mm, L<sub>2</sub> = 116.5 mm, A = 381.16 mm² and F = 87 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 117 mm, L2 = 116.5 mm, A = 381.16 mm² and F = 87 N i.e. -53410641.200546 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 117 mm, L2 = 116.5 mm, A = 381.16 mm² and F = 87 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) = 117 mm
Final Length (L2) = 116.5 mm
Change in Length (ΔL) = ?
Area (A) = 381.16 mm²
Force (F) = 87 N
Calculating Stress
=> Convert the Area (A) 381.16 mm² to "square meter (m²)"
F = 381.16 ÷ 1000000
F = 0.000381 m²
Substitute the value into the formula
Stress (σ) = 228250.603421 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 117 ÷ 1000
r = 0.117 m
=> convert the L1 value to "meters (m)" unit
r = 116.5 ÷ 1000
r = 0.1165 m
ΔL = 0.1165 - 0.117
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.004274
As we got all the values we can calculate Young's Modulus
E = -53410641.200546 Pa
∴ Youngs's Modulus (E) = -53410641.200546 Pa
Young's Modulus of L1 = 117 mm, L2 = 116.5 mm, A = 381.16 mm² and F = 87 N results in different Units
| Values | Units |
|---|---|
| -53410641.200546 | pascals (Pa) |
| -7746.556555 | pounds per square inch (psi) |
| -534106.412005 | hectopascals (hPa) |
| -53410.641201 | kilopascals (kPa) |
| -53.410641 | megapascal (MPa) |
| -1115481.241473 | 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 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
- Young's modulus of initial length 121 mm, final length 120.5 mm, area 385.16 mm² and force 91 N
- Young's modulus of initial length 122 mm, final length 121.5 mm, area 386.16 mm² and force 92 N