Given Data
- Diameter of Pier: 1.1m
- The thickness of the Pier Cap: 1.5m
- Height of Pier: 5m
Volume of Pier
To determine the volume of the pier, use the cylindrical volume formula:
The volume of Pier Cap
The pier cap consists of two areas, A₁ and A₂.
Calculating A₁
Calculating A₂
or
Area rectangle
1.2 x 0.5 = 0.6m2
Area triangle
0.5 x 1.9 x 0.5 x2 (for 2 triangle) = o.95m2
0.6 + 0.95 = 1.55m2
Total Area of Pier Cap
Pier Cap Volume
Total Concrete Volume
Summing up both volumes:
Vtotal = 4.05 + 6.075 = 11 cubic meters.
Conclusion
The total concrete required for the pier and pier cap is approximately 11 cubic meters. This calculation ensures accurate material estimation for construction projects.
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