Beam design

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Beam design using eurocode 2
Design of singly reinforced beam

Bending moment = 200kNm
fyk & fck 500N/mm2 & 25N/mm2 respectively
Beam width 250mm and effective depth 500mm

K = M/[b*(d^2)*fck]
K = 200*E6/[250*(500^2)*25]
K = 0.128

Kbal = 0.167 (balance codition is taken based on x = 0.45d)
Therefore
K<Kbal
Compression reinforcement is not required

z = d[0.5+(0.25-K/1.134)^0.5]
z = 500[0.5+(0.25-0.128/1.134)^0.5]
z = 435.15mm

As = M/(0.87*fyk*z)
As = 200*E6/(0.87*500*435.15
        1056.6mm2

For further information refer Beam design procedure