Calculate Young's Modulus of L<sub>1</sub> = 114 mm, L<sub>2</sub> = 113.5 mm, A = 378.16 mm² and F = 84 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 114 mm, L2 = 113.5 mm, A = 378.16 mm² and F = 84 N i.e. -50645229.532473 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 114 mm, L2 = 113.5 mm, A = 378.16 mm² and F = 84 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) = 114 mm
Final Length (L2) = 113.5 mm
Change in Length (ΔL) = ?
Area (A) = 378.16 mm²
Force (F) = 84 N
Calculating Stress
=> Convert the Area (A) 378.16 mm² to "square meter (m²)"
F = 378.16 ÷ 1000000
F = 0.000378 m²
Substitute the value into the formula
Stress (σ) = 222128.199704 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 114 ÷ 1000
r = 0.114 m
=> convert the L1 value to "meters (m)" unit
r = 113.5 ÷ 1000
r = 0.1135 m
ΔL = 0.1135 - 0.114
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.004386
As we got all the values we can calculate Young's Modulus
E = -50645229.532473 Pa
∴ Youngs's Modulus (E) = -50645229.532473 Pa
Young's Modulus of L1 = 114 mm, L2 = 113.5 mm, A = 378.16 mm² and F = 84 N results in different Units
Values | Units |
---|---|
-50645229.532473 | pascals (Pa) |
-7345.467607 | pounds per square inch (psi) |
-506452.295325 | hectopascals (hPa) |
-50645.229532 | kilopascals (kPa) |
-50.64523 | megapascal (MPa) |
-1057725.618786 | 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 115 mm, final length 114.5 mm, area 379.16 mm² and force 85 N
- 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