The cross-sectional area calculator determines the area because that different varieties of beams. A beam is a very an essential element in construction. The pack bearing member of bridges, roofs and floors in buildings are obtainable in various cross-sections. Check out on come understand exactly how to calculation cross-sectional area of I section, T section, C beam, L beam, round bar, tube, and also beams v rectangular and triangular cross-sections.

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

A cross-section is identified as the common an ar obtained indigenous the intersection of a aircraft with a 3D object. Because that instance, think about a long circular tube cut (intersect) v a plane. You'll watch a pair of concentric circles. The concentric circles are the cross-section of a tube. Similarly, the beams — L, I, C, and T — space named based on the cross-section shape.

ar view that a tube In stimulate to calculate the area the a cross-section, you need to look in ~ them as an easy shapes. Because that instance, a tube is a concentric circle. Therefore, because that a tube v inner and also outer diameter (d and D) having thickness t, the area the cross-section can be composed as:

AC = π * (D2 - d2) / 4

We also know that the inner diameter d is regarded thickness t and also outer diameter D as:

d = D - 2 * t

Therefore, the area of 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 thicknesses t1 and t2 are given 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 discover cross-sectional area?

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

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

Example: making use of the cross-sectional area calculator.

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

Step 1: choose the shape the cross-section from the list, i.e., Tube.Step 2: go into the outer diameter the tube, D = 10 mm.Step 3: Insert the thickness the 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 of cross-section shapes

Did girlfriend know?

An I or H beam is used generally in railway tracks.T beams are found in use in at an early stage bridges and is used to reinforce frameworks to withstand large loads top top floors that bridges and also piers.


How to calculate cross-sectional area that a pipe?

To calculation cross-section the a pipe:

Subtract the squares of inner diameter from the outer diameter.Multiply the number v π.Divide the product by 4.

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How to calculate area that an ns section?

The area the I section with full width W, elevation H and having thickness t can be calculation as:

Area = 2 × W × t + (H - 2 × t) × t

How to calculation area of one T section?

The area of a T ar with total width W, elevation H and also having thickness t deserve to be calculation as:

Area = W × t + (H - 2 × t) × t

What is the cross ar of a cube?

The cross-section of a cube is a square. Similarly, for a cuboid, the is either a square or a rectangle.