blob: 69d7cee33e23c21dbaf589d5d925092d50daf4db (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
|
b=250//width, in mm
D=550//overall depth, in mm
Ast=4*0.785*25^2//four 25 mm dia bars on tension side, in sq mm
Asc=3*0.785*22^2//three 22 mm dia bars on compression side, in sq mm
bottom_cover=50//in mm
top_cover=30//in mm
d=D-bottom_cover//effective depth, in mm
sigma_cbc=5//in MPa
sigma_st=140//in MPa
sigma_sc=130//in MPa
m=18.66//modular ratio
//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 over-reinforced
sigma_cbc_dash=sigma_cbc*(x-top_cover)/x//in MPa
sigma_sc=1.5*m*sigma_cbc_dash//< 130 MPa, hence OK
//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)
|
