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# How To Calculate The Volume Of Concrete Triangular Pile Cap Having 3-Piles

### How To Calculate The Volume Of Concrete Triangular Pile Cap Having 3-Piles

Let us calculate the volume of concrete in a triangular pile foundation having 3 nos. of the pile, as shown below.

### Given data:

Pile diameter = 0.6m.( d )

No. of piles = 3 nos.

Length of pile = 16m. (h )

Depth of the pile cap = 0.9m.(D )

### The volume of concrete in the piles

= 3nos.Ã—Â Ï€r2 h

Here,

r = radius of the pile.

= d Ã· 2

= 0.6m Ã· 2

### = 0.3m.

h = length of the pile.

### The volume of concrete in piles

= 3nos. Ã— 3.142 Ã— (0.3m)2 Ã— 16m.

### The volume of concrete in the pile cap :

The volume ofÂ  pile cap concrete

=Â  Surface area (A ) Ã— depth ( D )

First, let us calculate the sectional area (A1) of rectangle ABCD, as shown in the below drawing.

Area of rectangle ABCD (A1)

=LÂ Ã— B

= 2.2mÂ Ã— 2.0m

### =Â 4.4 sqm.

To get the surface area ( A) of the pile cap, we have to deduct the area of triangles AEF & GDH from the rectangle area.

### Here,

Triangle AEF = triangle GDH

### Area of triangle AEFÂ

= 0.5Â Ã— baseÂ Ã— height.

= 0.5Â Ã— side AEÂ Ã— side AF

Side AE

= [ ( 1/2Â Ã—side BC ) – (1/2Â Ã— side EG )]

=Â  [ ( 1/2Â Ã—2m. ) – (1/2Â Ã— 0.6m. )]

= [ 1m – 0.3 m ]

### =Â 0.7m.

Side AF

= side AB – side FB

= 2.2m – 0.7m

### Basic Rule For Design Of Concrete Column

I have redrawn the triangle, with the calculated length of the sides AF & AE as shown below.

Area of triangle AEF

Â = 0.5Â Ã— side AEÂ Ã— side AF

= 0.5 Ã— 0.7m Ã— 1.5m.

### =Â 0.525 sqm.

The surface area of the pile cap (A )

= [area of rectangle ABCD – (2nos. Ã— area of a triangle AEF )]

= [4.4 sqm. – (2nos. Ã— 0.525sqm.)]

= [4.4 sqm. – 1.05 sqm.]

### = 3.35 sqm.

Now, the concrete vol. of pile cap

= surface area (A ) Ã— depth (D )

= 3.35 sqm. Ã— 0.9m.

### The total concrete volume of 3-pile foundation

= The vol. of concrete in pile cap + total vol. of concrete in piles.

= 3.015 cum + 13.57 cum.