How to Calculate and Solve for Tensile Strength of Polymers | Polymer

Last Updated on December 5, 2022

The tensile strength of polymers is represented by the image below.

To compute for tensile strength of polymers, three essential parameters are needed and these parameters are Tensile Strength at Infinite Weight (TS_∞), Constant (A) and Mean Number Molecular Weight (M’_n).

The formula for tensile strength of polymers:

TS = TS_∞ – (^A/_M’n)

Where:

TS = Tensile Strength of Polymers
TS_∞ = Tensile Strength at Infinite Weight
A = Constant
M’_n = Mean Number Molecular Weight

Let’s solve an example;
Find the tensile strength of polymers when the tensile strength at infinite weight is 8, the constant is 4 and the mean number molecular weight is 2.

This implies that;

TS_∞ = Tensile Strength at Infinite Weight = 8
A = Constant = 4
M’_n = Mean Number Molecular Weight = 2

TS = (8) – (⁴/₂)
TS = (8) – (2)
TS = 6

Therefore, the tensile strength of polymers is 6 Pa.

Calculating the Tensile Strength at Infinite Weight when the Tensile Strength of Polymers, Constant and the Mean Number Molecular Weight is Given.

TS_∞ = TS – (^A / _M’n)

Where:

TS_∞ = Tensile Strength at Infinite Weight
TS = Tensile Strength of Polymers
A = Constant
M’_n = Mean Number Molecular Weight

Given an example;
Find the tensile strength at infinite weight when the tensile strength of polymers is 44, the constant is 80 and the mean number molecular weight is 10.

This implies that;

TS = Tensile Strength of Polymers = 44
A = Constant = 80
M’_n = Mean Number Molecular Weight = 10

TS_∞ = TS – (^A / _M’n)
TS_∞ = 44 – (⁸⁰ / ₁₀)
TS_∞ = 44 – 8
TS_∞ = 36

Therefore, the tensile strength at infinite weight is 36.

Calculating the Constant when the Tensile Strength of Polymers, Tensile Strength at Infinite Weight and Mean Number Molecular Weight is Given.

A = M’_n (TS_∞ – TS)

Where:

A = Constant
TS = Tensile Strength of Polymers
TS_∞ = Tensile Strength at Infinite Weight
M’_n = Mean Number Molecular Weight

Let’s solve an example;
Find the constant when the tensile strength of polymers is 12, the tensile strength at infinite weight is 24 and the mean number molecular weight is 2.

This implies that;

TS = Tensile Strength of Polymers = 12
TS_∞ = Tensile Strength at Infinite Weight = 24
M’_n = Mean Number Molecular Weight = 2

A = M’_n (TS_∞ – TS)
A = 2 (24 – 12)
A = 2 (12)
A = 24

Therefore, the constant is 24.

Calculating the Mean Number Molecular Weight when the Tensile Strength of Polymers, Constant and the Tensile Strength at Infinite Weight is Given.

M’_n = ^A / _{TS∞ – TS}

Where:

M’_n = Mean Number Molecular Weight
TS = Tensile Strength of Polymers
TS_∞ = Tensile Strength at Infinite Weight
A = Constant

Given an example;
Find the mean number molecular weight when the tensile strength of polymers is 20, the tensile strength at infinite weight is 30 and the constant is 5.

This implies that;

TS = Tensile Strength of Polymers = 20
TS_∞ = Tensile Strength at Infinite Weight = 30
A = Constant = 5

M’_n = ^A / _{TS∞ – TS}
M’_n = ⁵ / _{30 – 20}
M’_n = ⁵ / ₁₀
M’_n = 0.5

Therefore, the mean number molecular weight is 0.5.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the tensile strength of polymers.

Now, Click on Polymer under Materials and Metallurgical

Now, Click on Tensile Strength of Polymers under Polymer

The screenshot below displays the page or activity to enter your values, to get the answer for the tensile strength of polymers according to the respective parameter which is the Tensile Strength at Infinite Weight (TS_∞), Constant (A) and Mean Number Molecular Weight (M’_n).

Now, enter the values appropriately and accordingly for the parameters as required by the Tensile Strength at Infinite Weight (TS_∞) is 8, Constant (A) is 4 and Mean Number Molecular Weight (M’_n) is 2.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the tensile strength of polymers and presents the formula, workings and steps too.