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 )

**Calculation:**

**The volume of concrete in the piles**

= [3nos.× πr2 h]

Here,

r = radius of the pile.

= [d ÷ 2]

= [0.6m ÷ 2]

r = **0.3m.**

h = length of the pile.

**The volume of concrete in piles**

= [3nos. × 3.142 × (0.3m)2 × 16m.]

= **13.57 cum**.

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

The volume of pile cap concrete

= [Surface area (A ) × depth ( D )]

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

Area of rectangle ABCD (A1)

= [L × B]

= [2.2m × 2.0m]

=** 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 AEF **

= [0.5 × base × height.]

= [0.5 × side AE × side AF]

**Side AE **

= [ ( 1/2 ×side BC ) - (1/2 × side EG )]

= [ ( 1/2 ×2m. ) - (1/2 × 0.6m. )]

= [ 1m - 0.3 m ]

= **0.7m.**

**Side AF **

= [side AB - side FB]

= [2.2m - 0.7m]

= **1.5m.**

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

Area of triangle AEF= [0.5 × side AE × side AF]

= [0.5 × 0.7m × 1.5m.]

= **0.525 sqm.**

** The surface area of the pile cap (A )**

= [area of rectangle ABCD - (2nos. × area of a triangle AEF )]

= [4.4 sqm. - (2nos. × 0.525sqm.)]

= [4.4 sqm. - 1.05 sqm.]

= **3.35 sqm.**

Now,

the concrete vol. of pile cap

= [surface area (A ) × depth (D )]

= [3.35 sqm. × 0.9m.]

= **3.015 cum.**

**The total concrete volume of the 3-pile foundation**

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

= [3.015 cum + 13.57 cum.]

= ** 16.585 cum.**

**To go through the articles on Estimation & calculation in civil engineering,** **click here.**

**Thank you for going through these calculation steps❤. Have a good day 😄.**

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