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# How to Calculate and Solve for Final Area | Volume Balance in Stress

Last Updated on January 9, 2023

The image above represents final area.

To compute for final area, three essential parameters are needed and these parameters areĀ Final Length at Breakage (l1), Initial Length before Breakage (l0)Ā andĀ Initial Area (A0).

The formula for calculating final area:

A1Ā =Ā (A0l0)/l1

Where:

A1Ā = Final Area
l1Ā = Final Length at Breakage
l0Ā = Initial Length before Breakage
A0 Ā = Initial Area

Given an example;
Find the final area when the final length at breakage is 8, the initial length before breakage is 6 and initial area is 3.

This implies that;

l1 = Final Length at Breakage = 8
l0 = Initial Length before Breakage = 6
A0 Ā = Initial Area = 3

A1Ā =Ā (A0l0)/l1
A1Ā =Ā (3)(6)/(8)
A1Ā =Ā (18)/(8)
A1 = 2.25

Therefore, theĀ final areaĀ isĀ 2.25 mĀ².

Calculating the Final Length at Breakage when the Final Area, the Initial Length before Breakage and the Initial Area is Given.

l1 = A0(l0) / A1

Where:

l1Ā = Final Length at Breakage
A1Ā = Final Area
l0Ā = Initial Length before Breakage
A0 Ā = Initial Area

Let’s solve an example;
Find the final length at breakage when the final area is 10, the initial length before breakage is 4 and the inital area is 6.

This implies that;

A1 = Final Area = 10
l0 = Initial Length before Breakage = 4
A0 Ā = Initial Area = 6

l1 = A0(l0) / A1
l1 = 6(4) / 10
l1 = 24 / 10
l1 = 2.4

Therefore, theĀ final length at breakageĀ isĀ 2.4m.

Calculating the Initial Length before Breakage when the Final Area, the Final Length at Breakage and the Initial Area is Given.

l0 = A1(l1) / A0

Where:

l0Ā = Initial Length before Breakage
A1Ā = Final Area
l1Ā = Final Length at Breakage
A0 Ā = Initial Area

Let’s solve an example;
Find the initial length before breakage when the final area is 15, the final length at breakage is 3 and the inital area is 9.

This implies that;

A1 = Final Area = 15
l1 = Final Length at Breakage = 3
A0 Ā = Initial Area = 9

l0 = A1(l1) / A0
l0 = 15(3) / 9
l0 = 45 / 9
l0 = 5

Therefore, theĀ initial length before breakageĀ isĀ 5m.

Calculating the Initial Area when the Final Area, the Final Length at Breakage and the Initial Length before Breakage is Given.

A0 Ā = A1(l1) / l0

Where:

A0 Ā = Initial Area
A1Ā = Final Area
l1Ā = Final Length at Breakage
l0 = Initial Length before Breakage

Given an example;
Find the initial area when the final area is 12, the final length at breakage is 8 and the initial length before breakage is 2.

This implies that;

A1 = Final Area = 12
l1 = Final Length at Breakage = 8
l0 = Initial Length before Breakage = 2

A0 Ā = A1(l1) / l0
A0 Ā = 12(8) / 2
A0 Ā = 96 / 2
A0 Ā = 48

Therefore, theĀ initial areaĀ isĀ 48.

Nickzom Calculator āĀ The Calculator Encyclopedia is capable of calculating the final area.

To get the answer and workings of the final area using the Nickzom Calculator ā The Calculator Encyclopedia.Ā First, you need to obtain the app.

You can get this app via any of these means:

You can also try theĀ demoĀ version viaĀ https://www.nickzom.org/calculator

Apple (Paid)Ā āĀ https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to theĀ Calculator Map,Ā then click onĀ Materials and MetallurgicalĀ underĀ Engineering.

Now, Click onĀ Mechanical PropertiesĀ underĀ Materials and Metallurgical

Now, Click on Final AreaĀ underĀ Mechanical Properties

The screenshot below displays the page or activity to enter your values, to get the answer for the final area according to the respective parameter which is the Final Length at Breakage (l1), Initial Length before Breakage (l0)Ā andĀ Initial Area (A0).

Now, enter the values appropriately and accordingly for the parameters as required by the Final Length at Breakage (l1) is 8, Initial Length before Breakage (l0) is 6 and Initial Area (A0) is 3.

Finally, Click on Calculate

As you can see fromĀ the screenshot above,Ā Nickzom Calculatorā The Calculator Encyclopedia solves for the final area and presents the formula, workings and steps too.