Beam design

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Beam design basic steps using eurocode 2 
                                                                                  

Step 01

Find K, K=M/ (b*d2*fck)

Step 02

Find K’,  K’=0.60δ-0.18δ^2-0.21 where δ<=1

Step 03

Find whether  K<=K’

If K<=K’ No compression reinforcement required

Step 04

Find lever arm   Z  = (d/2)*{1+ (1-3.53K) ^.5} <=0.95d

Step 05

Find tension reinforcements  As=M/fy*d*z

Step 06

Check minimum reinforcement and maximum reinforcements

As min= 0.26(fctm)*(bt)*d/fyk  wher fck >=25

As max = 0.04Ac

If K > K’ in step 03

Find Z = (d/2)*{1+ (1-3.53K’) ^.5}

Find compressing reinforcement required

As2 = (K-K’)*(fck)*b*d2/[fsc*(d-d2)]

Where fsc = 700[(x-d2)/x] <=fyd

Find tension reinforcement

As = (K’*fck*b*d2/fyd*z)+As2*(fsc/fyd)

Check minimum reinforcement and maximum reinforcements from above mention equations

Designers Guide to EN 1992-1-1 and EN 1992-1-2 Eurocode 2: Design of Concrete Structures. General rules and rules for buildings and structural fire design