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.

You are watching: Cross sectional area of a rectangular bar

## 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.

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

d = D - 2 * tTherefore, the area of cross-section becomes:

AC = π * (D2 - (D - 2 * t)2) / 4Similarly, 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 SectionAreaHollow Rectangle | (H * W) - ((W - 2t1) * (W - 2t2)) |

Rectangle | W * H |

I | 2 * W * t1 + (H - 2 * t1) * t2 |

C | 2 * W * t1 + (H - 2 * t1) * t2 |

T | W * t1 + (H - t1) * t2 |

L | W * t + (H - t) * t |

Isosceles Triangle | 0.5 * B * H |

Equilateral Triangle | 0.4330 * L2 |

Circle | 0.25 * π * D2 |

Tube | 0.25 * 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?*

*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.

## FAQ

### 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.

See more: When One Species Evolves Into Many Adaptive, Library: Adaptive Radiation: Darwin'S Finches

### 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.