The cross-sectional area calculator determines the area because that different types of beams. A beam is a very critical element in construction. The fill bearing member of bridges, roofs and floors in structures are obtainable in different cross-sections. Check out on to understand just how to calculation cross-sectional area that I section, T section, C beam, L beam, ring bar, tube, and also beams v rectangular and also triangular cross-sections.

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What is a cross-section and how to calculation a cross-sectional area?

A cross-section is characterized as the common region obtained from the intersection the a aircraft with a 3D object. For instance, consider a long circular tube cut (intersect) with a plane. You'll watch a pair of concentric circles. The concentric circles room the cross-section of a tube. Similarly, the beams — L, I, C, and also T — room named based upon the cross-section shape.

section view that a pipe In order to calculate the area of a cross-section, you need to look at them as straightforward shapes. For instance, a tube is a concentric circle. Therefore, because that a tube with inner and outer diameter (d and also D) having actually thickness t, the area of cross-section deserve to be written as:

AC = π * (D2 - d2) / 4

We likewise know that the inside diameter d is related to thickness t and also outer diameter D as:

d = D - 2 * t

Therefore, the area the cross-section becomes:

AC = π * (D2 - (D - 2 * t)2) / 4

Similarly, the area the cross-section for all other shapes having actually width W, elevation H, and also thicknesses t1 and t2 are provided in the table below.

Cross-sections SectionArea
Hollow Rectangle (H * W) - ((W - 2t1) * (W - 2t2))
RectangleW * H
I 2 * W * t1 + (H - 2 * t1) * t2
C 2 * W * t1 + (H - 2 * t1) * t2
TW * t1 + (H - t1) * t2
LW * t + (H - t) * t
Isosceles Triangle0.5 * B * H
Equilateral Triangle0.4330 * L2
Circle0.25 * π * D2
Tube0.25 * π *(D2 - (D - 2 * t)2)

How to uncover cross-sectional area?

Follow the steps listed below to uncover the cross-sectional area.

Step 1: select the shape of cross-section from the list, say, Hollow rectangle. An illustration of the cross-section and the related areas will currently be visible.Step 2: get in the width the the hollow rectangle, W.Step 3: to fill in the height the the cross-section, H.Step 4: Insert the thickness of the hole rectangle, t.Step 5: The calculator will return the area of the cross-section.

Example: using the cross-sectional area calculator.

Find the cross-sectional area of tube having actually outer diameter the 10 mm and a thickness the 1 mm.

Step 1: select the shape of cross-section indigenous the list, i.e., Tube.Step 2: get in the outer diameter that tube, D = 10 mm.Step 3: Insert the thickness of the tube, t = 1 mm.Step 4: The area the cross-section is :AC = π * (D2 - (D - 2 * t)2) / 4AC = π * (102 - (10 - 2 * 1)2) / 4 = 28.274 mm2

Applications that cross-section shapes

Did girlfriend know?

An I or H beam is used extensively in railway tracks.T beams are discovered in usage in early on bridges and is provided to reinforce frameworks to withstand big loads ~ above floors the bridges and also piers.


How to calculation cross-sectional area of a pipe?

To calculate cross-section that a pipe:

Subtract the squares of within diameter from the outer diameter.Multiply the number with π.Divide the product by 4.

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How to calculation area the an ns section?

The area that I section with total width W, height H and having thickness t can be calculated as:

Area = 2 × W × t + (H - 2 × t) × t

How to calculation area of one T section?

The area of a T section with total width W, elevation H and also having thickness t can be calculated as:

Area = W × t + (H - 2 × t) × t

What is the cross section of a cube?

The cross-section the a cube is a square. Similarly, for a cuboid, it is one of two people a square or a rectangle.