initial commit / add all books

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+b=280//width, in mm

+D=540//overall depth, in mm

+Ast=5*0.785*22^2//five 22 mm dia bars on tension side, in sq mm

+Asc=4*0.785*20^2//four 20 mm dia bars on compression side, in sq mm

+bottom_cover=40//in mm

+top_cover=30//in mm

+sigma_cbc=5//in MPa

+sigma_st=140//in MPa

+m=18.66//modular ratio

+d=D-bottom_cover//effective depth, in mm

+//to find critical depth of neutral axis

+Xc=d/(1+sigma_st/(m*sigma_cbc))//in mm

+//to find x using b(x^2)/2 + (1.5m-1)Asc(x-d')=mAst(d-x), which becomes of the form px^2+qx+r=0

+p=b/2

+q=(1.5*m-1)*Asc+m*Ast

+r=-(1.5*m-1)*Asc*top_cover-m*Ast*d

+x=(-q+sqrt(q^2-4*p*r))/(2*p)//in mm

+//as x<Xc, beam is under-reinforced

+sigma_cbc=(sigma_st/m)*x/(d-x)//in MPa

+sigma_cbc_dash=sigma_cbc*(x-top_cover)/x//in MPa

+sigma_sc=1.5*m*sigma_cbc_dash//in MPa

+//stress in compression steel is found to be less than its permissible limit of 130 N/mm^2

+Mr=b*x*sigma_cbc*(d-x/3)/2+(1.5*m-1)*Asc*sigma_cbc_dash*(d-top_cover)//in N-mm

+mprintf("Moment of resistance of the beam=%f kN-m",Mr/10^6)