Calculating the total load on columns is essential when designing a structure. This ensures the columns can withstand the applied loads without failure. In a two-way slab system, loads are distributed among beams and then transferred to the columns. Let’s calculate the total load on the columns step by step.
Given Data for Calculation
- Height of column = 2.7m
- Sectional dimension of the column = 230mm x 450mm = 0.23m x 0.45m
- Number of columns = 4
- Slab Span Ratio:
- Lx/Ly = 4500mm / 3000mm = 1.5 (<2, confirming a two-way slab system)
Step-by-Step Load Calculation
1. Self-Weight of the Column
The self-weight of the column is calculated using the formula:
Self-weight of column = (Cross-sectional area) × (Density of RCC)
= (0.23m × 0.45m) × 25 KN/m³
= 2.588 KN/m
2. Factored Self-Weight of the Column
The factored self-weight is obtained by multiplying the self-weight by a factor of safety (1.5):
Factored self-weight = 1.5 × 2.588 KN/m
= 3.88 KN/m
3. Total Factored Self-Weight of the Column
The total factored self-weight is found by multiplying the factored weight per meter by the column height:
Total factored self-weight = 3.88 KN/m × 2.7m
= 10.476 KN
4. Load Transferred from Beams to Columns
The total load from beams B1 and B2 is equally distributed among all four columns.
Load transferred to an individual column = ½ × (Load from beam B1 + Load from beam B2)
= ½ × (75.69 KN + 40.755 KN)
Note: The above values of the load from the beams are taken from the article
How To Calculate The Total Load Over The RCC Beam
= ½ × 116.445 KN
= 58.222 KN
5. Total Factored Load Over the Columns
Adding the self-weight of the column and the load from the beams gives:
Total factored load = Self-weight of column + Load from beams
= 10.476 KN + 58.222 KN
= 68.706 KN
Converting this to kilograms:
Total load in kg = 68.706 × 101.97
= 7,004.67 kg
Conclusion
Calculating the total load on columns in a two-way slab system is crucial for structural integrity. By following this step-by-step approach, engineers ensure that the columns can support the applied loads safely. This calculation helps in designing a stable and durable structure.
Click Here To See How To Calculate The Total Load Over The RCC Slab?