For a continuous floor slab supported on beam, the ratio of the end s...
For a continuous floor slab supported on a beam, the ratio of the end span of length and intermediate span length is 0.9.
Hence the option D is correct.
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For a continuous floor slab supported on beam, the ratio of the end s...
Ratio of end span length and intermediate span length for a continuous floor slab supported on a beam
To understand the ratio of the end span length and intermediate span length for a continuous floor slab supported on a beam, let's break down the concept and explanation into the following sections:
1. Understanding the structure:
- A continuous floor slab refers to a reinforced concrete slab that is supported by beams on its edges.
- The beams distribute the load from the slab to the supporting columns or walls.
- The floor slab can have multiple spans, with the end spans being the outermost spans and the intermediate spans being the spans between the end spans.
2. Ratio calculation:
- The ratio of the end span length to the intermediate span length can be calculated by dividing the length of the end span by the length of the intermediate span.
- Let's assume the length of the end span as 'L' and the length of the intermediate span as 'I'.
3. Effect of continuous beam:
- In a continuous floor slab supported on a beam, the beam acts as a continuous element that redistributes the load along its length.
- Due to this redistribution of load, the end spans experience additional moment and shear forces compared to the intermediate spans.
- These additional forces in the end spans result in increased bending and deflection compared to the intermediate spans.
4. Optimal ratio:
- To maintain structural stability and minimize deflection, it is desirable to have a ratio of end span length to intermediate span length that ensures similar bending and deflection characteristics throughout the floor slab.
- As the end spans experience increased bending and deflection, it is preferable to have smaller end spans compared to the intermediate spans.
- Therefore, the optimal ratio of end span length to intermediate span length is typically less than 1.
5. Correct answer:
- Among the given options, option 'D' with a ratio of 0.9 (9:10) is the correct answer.
- This means that the length of the end span should be 90% of the length of the intermediate span.
- Having a ratio of 0.9 ensures that the end spans are slightly smaller than the intermediate spans, providing better structural stability and minimizing deflection.
In conclusion, the ratio of the end span length to intermediate span length for a continuous floor slab supported on a beam is 0.9. This ratio helps in maintaining structural stability and minimizing deflection by ensuring smaller end spans compared to the intermediate spans.