10 pcs column footing 1.2 x 1.2 x 0.35: If 16mm x 6m rebars are to be used for the column footings, how many pcs. of rebars will be used?

Steps to Solve

1. Calculate the volume of one column footing

The dimensions of each column footing are given as 1.2 m x 1.2 m x 0.35 m.

To find the volume, use the formula for volume:

$$ \text{Volume} = \text{length} \times \text{width} \times \text{height} $$

Substituting the values:

$$ \text{Volume} = 1.2 , \text{m} \times 1.2 , \text{m} \times 0.35 , \text{m} $$

2. Find the total volume for all footings

Multiply the volume of one footing by the total number of footings (10):

$$ \text{Total Volume} = \text{Volume of one footing} \times 10 $$

3. Calculate the amount of rebar needed

Next, calculate how many pieces of rebar are necessary. Assuming that you need a certain amount per cubic meter (which can vary based on design), let’s say you need a certain weight (or length) of rebar per cubic meter. For example, a typical requirement may be around 100 kg per cubic meter.

Convert that requirement to the length of 16 mm x 6 m rebar (which weighs about 1.6 kg per meter) to find the total length needed.

4. Determine the total length of rebar needed

From the total volume obtained in step 2, use the conversion factor to get the total length of rebar needed. For example:

$$ \text{Total Length of Rebar} = \text{Total Volume} \times W $$

Where ( W ) is the weight or length per cubic meter (to be specified).

5. Calculate the number of rebar pieces needed

Finally, divide the total length of rebar by the length of one piece (6 m):

$$ \text{Number of Pieces} = \frac{\text{Total Length of Rebar}}{6 , \text{m}} $$