Trapezoidal Footing Formula with Calculation

Krunal Rajput
2 min readOct 18, 2019

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

V = Volume of Trapzodial Footing .

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

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Krunal Rajput

Hey, I am Krunal Rajput. The Man Behind https://civiljungle.com I started this site to spread knowledge about Civil/Mechanical/Electrical Engineering.