Engineering

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 are Final Length at Breakage (l1), Initial Length before Breakage (l0and Initial Area (A0).

The formula for calculating final area:

A1 = (A0l0)/l1

Where:

A1 = Final Area
l1 = Final Length at Breakage
l0 = Initial Length before Breakage
A0  = 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  = Initial Area = 3

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

Therefore, the final area is 2.25 m².

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:

l1 = Final Length at Breakage
A1 = Final Area
l0 = Initial Length before Breakage
A0  = 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  = Initial Area = 6

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

Therefore, the final length at breakage is 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:

l0 = Initial Length before Breakage
A1 = Final Area
l1 = Final Length at Breakage
A0  = 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  = Initial Area = 9

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

Therefore, the initial length before breakage is 5m.

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

A0  = A1(l1) / l0

Where:

A0  = Initial Area
A1 = Final Area
l1 = 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  = A1(l1) / l0
A0  = 12(8) / 2
A0  = 96 / 2
A0  = 48

Therefore, the initial area is 48.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the final area.

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

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Mechanical Properties under Materials and Metallurgical

Now, Click on Final Area under 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 (l0and 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 from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the final area and presents the formula, workings and steps too.

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