To calculate the concrete volume of a trapezoidal footing, you need to follow these steps:
Step 1: Measure the dimensions of the trapezoidal footing, specifically its length, width, and height. Let’s call these values L, W, and H, respectively.
Step 2: Divide the trapezoidal footing into two separate shapes: a rectangular base and a Trapezoidal top. To do this, draw a horizontal line across the footing at the point where the sides start to slope inward.
Step 3: Calculate the volume of the rectangular base by multiplying its length, width, and height (L x W x H).
Step 4: Calculate the volume of the Trapezoidal by using Formula V = h/3 (A1+A2+√(A1 x A2))
Step 5: Add the volumes of the rectangular base and the Trapezoidal top together to get the total volume of concrete required for the trapezoidal footing.
The formula for the total concrete volume of a trapezoidal footing is:
V = (L x W x H) + h/3 (A1+A2+√(A1 x A2)
where V is the total concrete volume, L is the length of the footing, W is the width of the footing, H is the height of the rectangular base , and h is the height of the triangular top.
Sure, here is an example of how to calculate the concrete volume for a trapezoidal footing:
Let us say we have a trapezoidal footing with a length (L) of 1.5 Meter, a width (W) of 1.5 Meter, a height (H) of .15 Meter, and a top width (w) of .3 Meter
Step 1: Measure the dimensions of the trapezoidal footing: L = 1.5 Meter, W = 1.5 Meter, H = .15 Meter, w = .3 Meter.
Step 2: Divide the footing into a rectangular base and a trapezoidal top by drawing a horizontal line at the point where the sides start to slope inward.
Step 3: Calculate the volume of the rectangular base: V1 = L x W x H = 1.5*1.5*.15 = .34 Cum
Step 4: Calculate the volume of the trapezoidal top: V2 = h/3 (A1+A2+√(A1 x A2)= 0.29 Cum
Step 5: Add the volumes of the rectangular base and the trapezoidal top to get the total concrete volume: V = V1 + V2 = .34 Cum + 0.29 Cum = 0.63 cubic Meter.
Therefore, the concrete volume required for this trapezoidal footing is 0.63 cubic Meter.
Formula sheet you can also form in your Excel example given below-
| S. no | Item Code | Description | L1 | B1 | Area1 | L2 | B2 | Area 2 | Height | Under root of A1 and A2 | V1 | Depth | V2 | Nos | Total Volume |
| 1 | F1 Foundation | F1(1500×1500) | 1.50 | 1.50 | 2.25 | 0.35 | 0.35 | 0.12 | 0.30 | 0.53 | 0.29 | 0.15 | 0.34 | 1.00 | 0.63 |
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