## Statement

A single reinforced rectangular beam has a width of 11” and effective depth of 18”. If f’c = 3ksi and fy is 40ksi. Calculate the moment capacity M_{n,} if A_{s }= 5in^{2}

## Given

- Width of beam = b = 11”
- Effective depth of reinforced concrete beam = d = 18”
- f’c = 3 Ksi
- Fy = 40 ksi
- A
_{s }= 5in^{2}

## Required

Moment capacity of the reinforced concrete beam = ?

## Solution

Given problem is the analysis case. For understanding the solution, one must should have **ACI 318M-08** building code.

find steel ratio by using formula defined by **ACI 318M-08**

**Ρ = AS/bd = 5/(11*18) = 0.025**

Now find respective value of “R” from Graph A.1a (Moment capacity of Rectangular beam)

R = 800 Psi

Mn =2851.2 K-in.

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