#### Six step procedure for determining stresses in steel and concrete

**In our article series for “Doubly reinforced Sections design guide”, we have covered the following:**

What are doubly reinforced sections?

Methods for determining Neutral Axis?

Solved numerical examples for determining Neutral Axis

Numerical examples for practice (Find Neutral axis)

Methods for calculating Moment of Resistance

Numerical example for calculating Moment of resistance

Types of problems in Doubly reinforced sections

Determining stresses in steel and concrete

Numerical example | Stresses in steel and concrete

**Now we shall proceed with a simple 6 step procedure for determining compressive stresses in steel and concrete. Further in our next article, we shall also solve a numerical using the same method.**

Generally, the following data is given for reference with the help of which we can determine the stresses in steel and concrete

Breadth of the beam = b

Effective depth of the beam = d

Area of tensile steel = Ast

Area of compressive steel = Asc

Modular raito = m

Bending moment = M

#### Six step procedure for determining the compressive stresses in steel and concrete:

#### Step One:

Find x by using the following formula:

bx.x/2 + (1.5m – 1)Asc (x – d’) = mAst(d-x)

#### Step two:

Find σ_{cbc }by:

σ’_{cbc }= σ_{cbc }(x – d’)/x

**Step three:**

Find Mr. Taking moments about tensile steel

Mr = bx σ_{cbc}/2 (d – x/3) + (1.5m – 1) Asc σ_{cbc}(d – d’)

Substitute the value of σ’_{cbc} in terms of σ_{cbc}

#### Step four:

**Equate Mr to M and find σ _{cbc}**

#### Step five:

σ_{cbc}/ (σst/m) = x/(d – x)

#### Step six:

Find σ_{sc}

**σ _{sc} = 1.5m σ_{cbc}**

Further, we shall solve a numerical using the above “six step procedure”.

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