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The positive bending moment coefficient at the middle of the end-span of a continuous one way slab is
1. \(\left( {\frac{{{w_l}}}{{10}} + \frac{{{w_d}}}{{12}}} \right){L^2}\)
2. \(\left( {\frac{{{w_l}}}{9} + \frac{{{w_d}}}{{10}}} \right){L^2}\)
3. \(\left( {\frac{{{w_l}}}{{12}} + \frac{{{w_d}}}{{16}}} \right){L^2}\)
4. \(\left( {\frac{{{w_l}}}{9} + \frac{{{w_d}}}{{12}}} \right){L^2}\)

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Correct Answer - Option 1 : \(\left( {\frac{{{w_l}}}{{10}} + \frac{{{w_d}}}{{12}}} \right){L^2}\)

Concept

 wL= Live load

wd = Dead load

As per Table 12 of IS-456:2000, the bending moment coefficients for dead and live load are given below:

Location

BM Coefficients for dead load

BM Coefficients for Live load

Bending moment

Middle of end span

1/12

1/10

\(\left( {\frac{{{w_l}}}{{10}} + \frac{{{w_d}}}{{12}}} \right){L^2}\)

Interior support of end span

-1/10

-1/9

\(-\left( {\frac{{{w_l}}}{9} + \frac{{{w_d}}}{{10}}} \right){L^2}\)

Middle of intermediate span

1/16

1/12

\(\left( {\frac{{{w_l}}}{{12}} + \frac{{{w_d}}}{{16}}} \right){L^2}\)

Interior support of intermediate span

-1/12

-1/9

\(-\left( {\frac{{{w_l}}}{9} + \frac{{{w_d}}}{{12}}} \right){L^2}\)

 

∴ Option 1 is correct

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