Correct Answer - Option 4 : 50/3
Concept:
As per IS 456 Cl 23.2.1, deflection can be limited, by controlling the span to effective depth ratio as given in the following table.
Type of Beam
|
Span to effective depth ratio (basic) for span < 10m
|
If span > 10
|
Cantilever
|
7
|
These values should be multiplied by 10/span
|
Simply supported
|
20
|
Continuous
|
26
|
Calculation:
Given, Span = 12 m (> 10 m)
So, Span to effective depth ratio for a simply supported beam
\(\rm \dfrac{Span}{Effective \ depth}\) = 20 × \(\rm \dfrac{10}{span}\) = \(\dfrac{20\ \times\ 10}{12}\) = \(\dfrac{50}{3}\).
Hence, Span to effective depth ratio for a simply supported beam will be 50/3.