Categories: CivilConcreteDesign

## Trapezoidal Footing Formula with Calculation

As per below method how to find Trapezoidal footing volume

In this method drive formula of trapezoidal footing as per drawing specification

## Trapezoidal Footing Formula

As shown in Fig of trapezoidal footing. In this footing, two different parts show in fig.

• Rectangle/ Square Cubic Area
• Truncated Pyramid Area

Trapezoidal Footing =

Rectangle/ Squared Cubic Area (V1)

Truncated Pyramid Area (V2)

The volume of trapezoidal footing

= Rectangle/ Square cubic area (V1) + Truncated Pyramid Area (V2)

V = V1 +V2

#### V1 = Rectangle/ Square Cubic Area (V1)

Rectangle Cubic Area

• V1 = L x B x H
• L =  Length of the cuboid = m. / mm.
• B = Breadth of the cuboid = m. / mm.
• H = Hight of the cuboid = m. / mm.

#### V2 = Truncated Pyramid Area (V2)

Truncated Pyramid Area (V2)

• V2 = (h/3) (A1 + A2 +√(A1 . A2))
• A1 = L1 x B1 = Sq.m /Sq. mm
• A1 = Truncated Pyramid Bottom Area
• A1 = L2 x B2 = Sq.m /Sq. mm
• A2 = Truncated Pyramid Top Area
• h = Height of Truncated Pyramid = M. / MM.

## Derive Trapezoidal Pyramid Formula.

• V2 = (h/3) (A1 + A2 +√(A1 + A2))

One Cubicl  =  Six part of Truncated Pyramid

• V2 =Truncated Pyramid Area
• Cubic = 1/6 Truncated Pyramid area
• A3 =1/6 Truncated Pyramid Area

Truncated PyramidArea

= 1/6 A3

= 1/6 (a-b) 3

= 1/6 (a-b) (a2 + b2 +ab )

a-b = 2h

a2 = a x a = A1

b2 = b x b = A2

= 1/6 . 2h. (a2 + b2 +ab )

=1/3. h. (a2 + b2 +ab )

=1/3 . h. (a + b + √(a.b))

=1/3. h. (A1 + A2 +√(A1.A2))

## Example : Calculation Using Trapezoidal Footing Formula

The trapezoidal footing formula could be explained with an example. Consider a trapezoidal footing arrangement as shown in as per below fig.

Elevation of Trapezoidal Footing

Plan of Trapezoidal Footing

Here, a square trapezoidal footing is taken into consideration

Volume of Trapezoidal Footing (V) = V1 +V2

V1 = Squared Cubic Area

V2 =Truncated Pyramid Area

Let’s Find V2 ,

Top Square area = A2 = L2 x B2

= 0.720m x 0.70 m

=0.49 sq.mm

Bottom Square area = A1 = L1 x B1

= 1.6 m x 1.6 m

=2.56 sq.mm

V2 = (h/3) (A1 + A2 +√(A1 . A2))

= (0.5 / 3) x ( 0.49 + 2.56 + square root of ( 0.49 x 2.56))

= (0.1667) x (0.49 + 2.56 + 1.12)

= (0.1667) x ( 4.17 )

= 0.695 Cubic meter.

V2 = 0.695 m3.

Let’s Find V1,

Square Cubic Area

V1 = L1 x B1 x H

= 1.5m x 1.5 m x 0.3 m

= 0.675 m3.

Volume of Trapezoidal Footing V = V1 + V2 = 0.675 + 0.695 = 1.37 m3

The formula can be used to get trapezoidal footing that’s either square or rectangle in dimension.

Like this post? Share it with your friends!

Krunal Rajput

Hey, I am Krunal Rajput. The Man Behind CivilJungle. I started this site to spread knowledge about Civil/Mechanical/Electrical Engineering. I am a Degree Holder in Civil Engineering.

Share
Krunal Rajput

## What Is Seasoning of Timber | Type of Seasoning of Timber | Benefit Seasoning of Timber

What Is Seasoning of Timber? The wood spice process is the process by which the moisture in the wood is…

16 hours ago

## What Is DLC (Dry Lean Concrete ) | Advantage of DLC (Dry Lean Concrete )

Dry Lean Concrete: Evеrуthіng Yоu Nееd tо Knоw Abоut Drу Lеаn Cоnсrеtе Dry Lеаn Cоnсrеtе іѕ a mixture іn whісh…

1 day ago

What Is Sunken Slab (Sunk Slab)? The sunken slab is one of the familiar and adaptable ways to maintain architectural…

3 days ago

## Bolt Vs Screw | What Is Bolt | What Is Screws

What Is Bolt? A bolt is an externally threaded fastener created for the insertion through holes in the assembled parts.…

4 days ago

## What Is Rat Trap Bond | How to Use | Advantage & Disadvantage of Rat Trap Bond

What Is Rat Trap Bond? • This is one of the wall constructing method of brickwork on wall construction. •…

6 days ago

## M30 Grade of Concrete Mix Design Procedure with OPC 53 Cement

Concrete Mix Design IS Code For Concrete mix design, we use, IS 456, and IS 10262. Required Data for M30…

7 days ago