RC BEAM DESIGN RC BEAM DESIGN b b==hhmmiinn== 330000 h h==hhmmaaxx== 660000 ffccuu== 3300 (1) FLEXURAL MOMENT:
(1) FLEXURAL MOMENT: ffyy== 446600 ffyyvv== 446600 *M(kn-m)=
*M(kn-m)= 334334 (s.f)(s.f) NNoo..oof f BBaarr BBaar r DDiiaa R= R= 3.683.68 As singly=As singly= 11881133 66 2255 22994455 O.K O.K (mm2) (mm2) Asnom= Asnom= 234234 (mm2) (mm2) BR= BR= 2020 L(m)=L(m)= 44 MF= MF= 1.101.10 **ddmmiinn== LL//BBRR**MMFF 182182 ==<<dd?? dd== 550550 O.K O.K (2) FLEXURAL SHEAR: (2) FLEXURAL SHEAR: V(kn)= V(kn)= 6677 bb== 330000 dd== 555500 AAss== 22994455 FFccuu== 3300 vact(n/mm2)= vact(n/mm2)= 00..4411 vvcc== 00..8811 As/Svact=
As/Svact= 00..3300 BBaar r TTyyppee BBaar r DDiiaa SSppaacce e cc//cc AA//s s pprroodd.. R
R 66 220000 00..2288
A/sprod.>=As/Sv
A/sprod.>=As/Sv act?act? N.O.KN.O.K END
END
As prod.(mm2) As prod.(mm2)
RC BEAM DESIGN
b=hmin= 300
h=hmax= 600
fcu= 30
(1) FLEXURAL MOMENT: fy= 460 fyv= 460
*M(kn-m)= 420 (s.f) No.of Bar Bar Dia
R= 4.63 As singly= 1813 6 25 2945 O.K (mm2) Asnom= 234 (mm2) BR= 20 L(m)= 4 MF= 1.00 *dmin= L/BR*MF 200 =<d? d= 550 O.K (2) FLEXURAL SHEAR: V(kn)= 67 b= 300 d= 550 As= 2945 Fcu= 30 vact(n/mm2)= 0.41 vc= 0.81
As/Svact= 0.30 Bar Type Bar Dia Space c/c A/s prod.
R 6 200 0.28
A/sprod.>=As/Sv act? N.O.K END
TORSIONAL BEAM DESIGN
b=hmin= 230 x1= 170
h=hmax= 600 y1= 540
fcu= 25
(1) FLEXURAL MOMENT: fy= 460 fyv= 460
*M(kn-m)= 71 (s.f) No.of Bar Bar Dia
R= 1.02 Assingly= 338 2 16 402 O.K (mm2/m) Asnom= 179 (mm2/m) BR= 20 L(m)= 4 MF= 1.57 *dmin= L/BR*MF 127 =< d ? d= 550 O.K (2) FLEXURAL SHEAR: V(kn)= 94 b= 230 d= 550 As= 402 Fcu= 25 vact(n/mm2)= 0.74 vc= 0.43
As/Svact= 0.23 Bar Type Bar Dia Space c/c A/s prod.
T 10 100 1.57
A/sprod.>=As/Sv act? O.K (3) TORSIONAL DESIGN:
1) m= 71 R= 1.02 As= 338
V= 94 v= 0.74 A/s= 0.23
2) T(kn-m)= 34.54
vt = 2t/hmin^2(hmax-hmin/3)= 2.50 n/mm2 3) ultimate torsion shear stresses (n/mm2)
gr.25 gr.30 gr.40 or more
vtmin 0.33 0.37 0.40
vtu 4.00 4.38 5.00
vtmin= 0.33
vt > vtmin ? Yes! Torsional reinf. Is required ! 4) (a) v + vt= 3.24 =< ? vtu= 4.00
O.K
(b) y1= 540 =< 550 ? Yes! Check vt =< (vtu.y1/550)?
vt= 2.50 =< (vtu.y1/550)? vtu.y1/550= 3.93 O.K
5) A/s.add=T/0.8*x1*y1*(0.87*fyv)= 1.18 Bar Type Bar Dia Space c/c A/s prod.
TOTALA/S= 0.23 + 1.18 T 10 100 1.57
= 1.41 A/sprod.>=As/Svact? OK
6) As.add=(A/s.add)*(fyv/fy)*(x1+y1)= 834 No.of Bar Bar Dia
TOTALAs,req= 338 + 834 TOP 2 16 402
= 1173 MID 2 16 402
BOT 2 16 402
TOT. AS= 1206 As.prod.>=As.req? O.K
END
As prod.(mm2)
CURVED BEAM DESIGN (Uniform Load) The analysis b= 300 mm h= 600 mm r= 20 m @ length= 8.38 m @ @= 12 deg 0.20944 rad cl w= 35 kn/m(s.f.) curve beam h/b= 2 k= 9.72
(1) k4= 0.007 +Mmax @ mid span= 97 kn-m(s.f.) (2) k5= -0.02 -Mmax @ support= -211 kn-m(s.f.)
0.12
(3) k7= 0.001 +Tmax @ contra pt.= 8 kn-m(s.f.) (4) k6= -8.5E-05 -Tmax @ support= -1 kn-m(s.f.)
The design
b=hmin= 300 x1= 240
h=hmax= 600 y1= 540
fcu= 30
(1) FLEXURAL MOMENT: fy= 460 fyv= 460
*M(kn-m)= 211 (s.f) No.of Bar Bar Dia
R= 2.32 Assingly= 1059 3 25 1473 O.K! (mm2/m) Asnom= 234 (mm2/m) BR= 26 L(m)= 4 MF= 1.25 *dmin= L/BR*MF= 123 =< d ? d= 550 O.K! (2) FLEXURAL SHEAR: V(kn)= 147 (s.f) b= 300 d= 550 As= 1473 cu= 30 vact(n/mm2)= 0.89 vc= 0.65
As/Svact= 0.30 Bar Type Bar Dia Space c/c A/s prod.
T 10 180 0.87
A/sprod.>=As/Sv act? O.K! (3) TORSIONAL DESIGN:
1) m= 211 R= 2.32 As= 1059
V= 147 v= 0.89 A/s= 0.30
2) T(kn-m)= 8
vt = 2t/hmin^2(hmax-hmin/3)= 0.34 n/mm2 3) ultimate torsion shear stresses (n/mm2)
gr.25 gr.30 gr.40 or more
vtmin 0.33 0.37 0.40
vtu 4.00 4.38 5.00
vtmin= 0.37
vt > vtmin ? No! Torsional reinf. Is NOT required ! 4) (a) v + vt= 1.23 =< ? vtu= 4.38
O.K!
(b) y1= 540 =< 550 ? Yes! Check vt =< (vtu.y1/550)?
vt= 0.34 =< (vtu.y1/550)? vtu.y1/550= 4.30 O.K!
5) A/s.add=T/0.8*x1*y1*(0.87*fyv)= 0.18 Bar Type Bar Dia Space c/ A/s prod.
TotalA/S= 0.30 + 0.18 T 10 180 0.87
= 0.48 A/sprod.>=As/Svact? OK!
6) As.add=(A/s.add)*(fyv/fy)*(x1+y1)= 143 No.of Bar Bar Dia
TotalAsreq= 1059 + 143 TOP 3 25 1473
= 1202 MID 2 25 982
BOT 3 25 1473
TOT. AS= 3927 As.prod>=As.req? O.K! Note: Clear distance between bars should
not exceed 300mm.
END
As prod.(mm2)
CURVED BEAM DESIGN (Uniform & Point Load) The analysis (Uniform Load)
b= 300 mm left hand
h= 600 mm
r= 5 m P @
length= 7.85 m @
@= 45 deg righthand
0.785398 rad cl w= 18.3 kn/m(s.f.)
phio curve beam
h/b= 2
k= 9.72
(1) k4= 0.075 +Mmax @ mid span= 34 kn-m(s.f.) 34 (2) k5= -0.24 -Mmax @ support= -110 kn-m(s.f.) 110
0.38
(3) k7= 0.019 +Tmax @ contra pt.= 9 kn-m(s.f.) 9 (4) k6= -0.02522 -Tmax @ support= -12 kn-m(s.f.) 12
(Uni.load) Along curve beam: Mmax= 110 kn-m Tmax= 12 kn-m Vmax= 72 kn The analysis (Point Load)
P= 263 kn(s.f.) sin phio= 0.00 phio= 0 deg 0.0000 rad sin 2 phio= 0.00 @= 45 deg 0.7854 rad cos phio= 1.00
r= 5 m sin^2 phio= 0.00 k= 9.72 sin @= 0.71 sin 2 @= 1.00 k1= 0.6669 K1= 0.164 cos @= 0.71 k2= 4.0595 K2= 0.0000 sin^2 @= 0.5 k3= 0.4833 K3= 0.500 k4= 12.78 k5= 0.9667 k6= 0.2776 k7= 0.9667 k8= 0.5553 At Mid-span: Mo= 216 kn-m 216 To= 0 kn-m 0 Vo= 132 kn 132
At left supp: @ phi= 45 deg
M= -312 kn-m 312 T= -40 kn-m 40
V= -132 kn 132
At right sup: @ phi= -45 deg (Pt.load) Along curve beam: M= -312 kn-m 312 Mmax= 312 kn-m T= 40 kn-m 40 Tmax= 40 kn-m V= 132 kn 132 Vmax= 132 kn @ point of contraflexure, phi1=
The design
(Uni. & Pt.load) Along curve beam: M total= 422 kn-m T total= 51 kn-m V total= 203 kn b=hmin= 300 x1= 240 h=hmax= 600 y1= 540 fcu= 30
(1) FLEXURAL MOMENT: fy= 460 fyv= 460 *M(kn-m)= 422 (s.f) No.of Bar Bar Dia
R= 4.65 Assingly= 2461 6 25 2945 O.K! (mm2/m) Asnom= 234 (mm2/m) BR= 26 L(m)= 4 MF= 0.91 *dmin= L/BR*MF= 170 =< d ? d= 550 O.K! (2) FLEXURAL SHEAR: V(kn)= 203 (s.f) b= 300 d= 550 As= 2945 cu= 30 vact(n/mm2)= 1.23 vc= 0.81
As/Svact= 0.31 Bar Type Bar Dia Space c/c A/s prod.
T 10 100 1.57
A/sprod.>=As/Sv act? O.K! (3) TORSIONAL DESIGN:
1) m= 422 R= 4.65 As= 2461
V= 203 v= 1.23 A/s= 0.31
2) T(kn-m)= 51
vt = 2t/hmin^2(hmax-hmin/3)= 2.28 n/mm2 3) ultimate torsion shear stresses (n/mm2)
gr.25 gr.30 gr.40 or more vtmin 0.33 0.37 0.40 vtu 4.00 4.38 5.00 vtmin= 0.37
vt > vtmin ? Yes! Torsional reinf. Is required ! 4) (a) v + vt= 3.51 =< ? vtu= 4.38
O.K!
(b) y1= 540 =< 550 ? Yes! Check vt =< (vtu.y1/550)?
vt= 2.28 =< (vtu.y1/550)? vtu.y1/550= 4.30 O.K!
5) A/s.add=T/0.8*x1*y1*(0.87*fyv)= 1.24 Bar Type Bar Dia Space c/ A/s prod. TotalA/S= 0.31 + 1.24 T 10 100 1.57
= 1.55 A/sprod.>=As/Svact? OK! 6) As.add=(A/s.add)*(fyv/fy)*(x1+y1)= 965 No.of Bar Bar Dia
TotalAsreq= 2461 + 965 TOP 6 25 2945
= 3426 MID 2 25 982
BOT 6 25 2945
TOT. AS= 6872 As.prod>=As.req? O.K! Note: Clear distance between bars should
not exceed 300mm.
As prod.(mm2)
