The cross-sectional area calculator identify the area for different varieties of beams. A beam is a very an important element in construction. The fill bearing member the bridges, roofs and floors in buildings are easily accessible in different cross-sections. Review on come understand exactly how to calculation cross-sectional area of I section, T section, C beam, L beam, round bar, tube, and beams v rectangular and triangular cross-sections.

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A cross-section is identified as the common region obtained indigenous the intersection that a plane with a 3D object. For instance, think about a long circular tube cut (intersect) v a plane. You"ll check out a pair of concentric circles. The concentric circles are the cross-section of a tube. Similarly, the beams — L, I, C, and T — room named based on the cross-section shape.

section view that a pipe In order to calculate the area of a cross-section, you need to look in ~ them as simple shapes. Because that instance, a tube is a concentric circle. Therefore, for a tube with inner and outer diameter (d and D) having actually thickness t, the area that cross-section can be composed as:

AC = π * (D2 - d2) / 4

We additionally know that the within diameter d is concerned thickness t and also outer diameter D as:

d = D - 2 * t

Therefore, the area that cross-section becomes:

AC = π * (D2 - (D - 2 * t)2) / 4

Similarly, the area of cross-section because that all other shapes having actually width W, height H, and thicknesses t1 and t2 are offered 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 find cross-sectional area?

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

Step 1: choose the shape of cross-section indigenous the list, say, Hollow rectangle. An illustration of the cross-section and the related areas will currently be visible.Step 2: go into the width that the hole rectangle, W.Step 3: fill in the height that the cross-section, H.Step 4: Insert the thickness the 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 of 10 mm and also a thickness that 1 mm.

Step 1: pick the shape that cross-section indigenous the list, i.e., Tube.Step 2: get in the outer diameter of 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 you know?

An I or H beam is used generally in railway tracks.T beams are found in usage in at an early stage bridges and also is used to reinforce structures to withstand huge loads top top floors the bridges and piers.


How to calculate cross-sectional area the a pipe?

To calculate cross-section of a pipe:

Subtract the squares of within diameter native the outer diameter.Multiply the number through π.Divide the product by 4.

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How to calculate area the an i section?

The area that I ar with total width W, elevation H and having thickness t deserve to 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 having thickness t can be calculated 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, because that a cuboid, the is either a square or a rectangle.