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The value of limiting moment of resistance of a RC beam for M25 grade of concrete and Fe 500 grade of steel is given by (Notations have their usual meaning)
1. 3.03 bd2
2. 3.48 bd2
3. 3.35 bd2
4. 3.44 bd2

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Correct Answer - Option 3 : 3.35 bd2

Concepts:

The limiting Moment of Resistance of a RCC Beam is given as:

Mu,lim = 0.362Bfck Xu,lim (d-0.42 Xu,Lim)

Where symbols have their usual meaning

Further, the Xu,lim/d ratio depends on grade of steel being used, which is referred from the below table:

Grade of Steel

Xu,lim/d

Fe 250

0.53

Fe 400

0.48

Fe 500

0.46

 

Calculation:

Given:

Grade M 25 ; fck­ = 25 MPa

Grade of Steel is Fe 500 ; Xu,Lim/d = 0.46

Now,

Mu,Lim = 0.362 × 25 × 0.46 × (1-0.42× 0.46) Bd2

Mu,Lim = 3.358 Bd2

Note:

The limiting moment of resistance for a beam is that factored moment due to loads on it which a beam can safely resist. This term is used in the Limit State Design method. In the working state method of Design, it is simply called Moment of Resistance.

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