**Singly Reinforced Concrete Beam **

Analysis of Singly reinforced concrete beam

Concrete is weak in tension therefore steel is added in tension zone of the section to provide strength in tension. The figure given below shows a typical section of singly reinforced concrete beam with strain distribution and equivalent stress distribution (proposed by Whitney).

The actual stress distribution of concrete is parabolic. Whitney
(1930) proposed an equivalent rectangular stress distribution, which
is adopted by ACI - 318. This rectangular stress block has
made the calculations easy. It has an average stress of 0.85*f*_{C}* ^{'
} *and the depth "a" equal to β

The nominal moment strength is obtained by applying static equilibrium and compatibility of stress and strain. The design strength is calculated by dividing nominal strenght by strength reduction factor φ (phi).

With reference to the equivalent stress diagram as per Whitney,

**Force of tension due to tension rebar**;

T = (area tension rebar) * (stress of steel)

T = As fy

It is required that tension steel has yielded when failure takes place. This makes sure that the section is not controlled by concrete.

**Foce of compression (due to concrete)**;

C_{c}
= (average
compressive stress) * (equivalent area of concrete)

**C**_{c}** =
(0.85***f _{C}*

* *For equilibrium, the
force of tension equals the force of compression.This gives the
values of "a";

**
a = (****A**_{s}
*
f_{y}*

The depth of neutral axis; **x = a/β**_{1}

The nominal moment strength **M _{n }**of the section is calculated by taking
the moment of compressive force about the centroid of tension steel
area.

**M**_{n}** = C**_{c}** (d - a/2)**

effective depth "**d**" is the distance from extreme
compression fibre to the centroid of tension rebar.
**Do you want to know what is doubly reinforced Concrete beam?**

To learn more about calculating the strength of reinforced concrete beam please
visit solved
**
Example 9-1 ,
Example 9-2,
Example 9-3**

You can also use our free **online calculator for strength of Reinforced Concrete beam**.

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