The live load and dead load in a three storeyed residential building, transferred through a single column, is 12 tons and 18 tons respectively. If the soil bearing capacity is 10 ton/sqm and the factor of safety is 1.5, the area of column footing is ______sqm (up to one decimal place).
Column Footing Area Calculation
The calculation involves determining the total load acting on the column and then finding the footing area required to support this load, considering the soil's bearing capacity and a factor of safety.
Step 1: Calculate Total Load
First, sum the live load and dead load to find the total load transferred to the column.
Formula: $ \text{Total Load} = \text{Live Load} + \text{Dead Load} $
Given: Live Load = 12 tons, Dead Load = 18 tons.
Calculation: $ \text{Total Load} = 12 \text{ tons} + 18 \text{ tons} = 30 \text{ tons} $
Step 2: Determine Design Load
Apply the factor of safety to the total load to determine the design load the footing must safely withstand.
Formula: $ \text{Design Load} = \text{Total Load} \times \text{Factor of Safety} $
Given: Factor of Safety = 1.5.
Calculation: $ \text{Design Load} = 30 \text{ tons} \times 1.5 = 45 \text{ tons} $
Step 3: Calculate Required Footing Area
Divide the design load by the soil's allowable bearing capacity to find the necessary area of the column footing.
Formula: $ \text{Area of Footing} = \frac{\text{Design Load}}{\text{Soil Bearing Capacity}} $
Given: Soil Bearing Capacity = 10 ton/sqm.
Calculation: $ \text{Area of Footing} = \frac{45 \text{ tons}}{10 \text{ ton/sqm}} = 4.5 \text{ sqm} $
The required area of the column footing is 4.5 sqm, rounded to one decimal place.
Important Questions from Foundations
- Particles of soil in descending order of grain size is
- Which of the following is/are example(s) of Concrete Cased Pile?
- A column transmits a load of 225 kN to a square footing. The safe bearing capacity of the soil is 100 kN/m$^2$. The minimum length (in m) of the side of this safe square footing is _____________ (rounded off to one decimal place).
