Doubly Design via Flow chart

Reinforced beam

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ρmax=0.6375 [0.85β ' f c'f y ( 8787+ f y )]

φM n=φRnmaxbd2

M u>φM n

f s' ≤ f y

M u1=φ Rnmax bd2M u2=M u−M u1

AS1=ρsmax bd

A s=A s1+A s2

f s'=87 (c−d ' )

cf s'=εt . Es

f s'=f s

'f s'=f y

A s'=

M u2

φ f s' (d−d ')

A s'=AS2

f yf s

ρ−ρ' ( f s'

f y )< ρmax ε t=d '−cc≥ .005

Rumax=ρmax f y (1− ρmax f y1.7 f c' )

Maximum Section Capacity

AS2=M u2

φ f y(d−d' )