Created By : Sunil Kumar Gandipadala

Reviewed By : Phani Ponnapalli

Last Updated : Apr 10, 2023


Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 107 mm, L2 = 106.5 mm, A = 371.16 mm² and F = 77 N i.e. -44395947.839207 Pa easily along with detailed steps.

 

Ex: 10, 167, 48, 34.5 or 90

 

Initial Length ( L1 )
Final Length ( L2 )
Area ( A )
Force ( F )

Detailed Procedure to find Young's Modulus of L1 = 107 mm, L2 = 106.5 mm, A = 371.16 mm² and F = 77 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:

E =
σ / ε

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) = 107 mm

Final Length (L2) = 106.5 mm

Change in Length (ΔL) = ?

Area (A) = 371.16 mm²

Force (F) = 77 N

Calculating Stress

Stress (σ) =
Force (F) / Area (A)

=> Convert the Area (A) 371.16 mm² to "square meter (m²)"

F = 371.16 ÷ 1000000

F = 0.000371 m²

Substitute the value into the formula

Stress (σ) =
77 / 0.00037116000000000004

Stress (σ) = 207457.700183 Pa

Calculating Strain :

Strain (S) =
Change in Length ( ΔL ) / Initial Length ( L2 )

=> convert the L1 value to "meters (m)" unit

r = 107 ÷ 1000

r = 0.107 m

=> convert the L1 value to "meters (m)" unit

r = 106.5 ÷ 1000

r = 0.1065 m

ΔL = 0.1065 - 0.107

ΔL = -0.0005 m

Substitute the value into the formula

Strain (S) =
-0.0005 / 0.107

Strain (S) = -0.004673

As we got all the values we can calculate Young's Modulus

E =
207457.700183 / -0.004673

E = -44395947.839207 Pa

∴ Youngs's Modulus (E) = -44395947.839207 Pa

Young's Modulus of L1 = 107 mm, L2 = 106.5 mm, A = 371.16 mm² and F = 77 N results in different Units
Values Units
-44395947.839207 pascals (Pa)
-6439.086164 pounds per square inch (psi)
-443959.478392 hectopascals (hPa)
-44395.947839 kilopascals (kPa)
-44.395948 megapascal (MPa)
-927209.370622 pounds per square foot (lbs/ft²)