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Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool- Structural Analysis
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
Output
Structural Analysis Long wall
L3 L1
L2
Mvs Mhs L1` Mhm Mvm
Bending Moment Serviceability Limit State Mvm(KNm/m)
Mvs(KNm/m)
Mhm(KNm/m)
Mhs(KNm/m)
L1
20.3
38.2
5.7
7.9
L2
30.3
49.2
7
13.9
L3
25
53
5.1
10.4
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool- Structural Analysis
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
Output
Ultimate Limit State Mvm(KNm/m)
Mvs(KNm/m)
Mhm(KNm/m)
Mhs(KNm/m)
L1
28.5
53.5
7.5
11
L2
42.3
68.9
9.7
19.5
L3
35.3
75.3
7.2
14.6
Mvm(KNm/m)
Mvs(KNm/m)
Mhm(KNm/m)
Mhs(KNm/m)
22.5
39.8
5.6
8.2 /-6.6
Mvm(KNm/m)
Mvs(KNm/m)
Mhm(KNm/m)
Mhs(KNm/m)
31.6
55.7
7.9
11.5/ -9.3
Short Wall Serviceability Limit State
Wall
Ultimate Limit State
Wall
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool- Structural Analysis
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
Output
Bottom Slab
Serviceability Limit State Mxm(KNm/m)
Mys(KNm/m)
Mxm(KNm/m)
Mxs(KNm/m)
S1
33.5
58.1
13.9
47.4
S2
28.8
50.1
19.3
41.5
Mxm(KNm/m)
Mys(KNm/m)
Mxm(KNm/m)
Mxs(KNm/m)
S1
46.9
80
19.6
66.4
S2
40.2
72
27
58
Ultimate Limit State
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool- Structural Analysis
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
Output
Direct Tension
7.3m 1.5m F
ULS Maximum Water Pressure= 9.81*1.4*1.5= 20.6 Total water load= 0.5*20.6*1.5*7.3 Assuming total load is uniformly distributed, Intensity of load= 0.5*20.6 = 10.3 RHB table 63
R= 0.5*k*(1-0.25k)w(lx)2 = 0.5*1.42*(1-1.42/4)*10.3*1.62 =12.07 Direct tension by long wall= 12.07/1.6 = 7.54 kN/m SLS Maximum Water Pressure= 9.81*1.5= 14.72
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool- Structural Analysis
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
Assuming total load is uniformly distributed, Intensity of load= 0.5*14.72 = 7.36 R= 0.5*k*(1-0.25k)w(lx)2 = 0.5*1.42*(1-1.42/4)*7.36*1.62 =8.63 Direct tension by long wall= 8.63/1.6 = 5.4 kN/m
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool - Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
Output
BS8007
Design of walls Long wall Design
Cl 2.7.6
Thickness of the wall= 200mm Cover= 40mm Reinforcements to carry ULS bending moment
BS8110
Assume main bars to be 25mm and distribution bars to be 12mm in diameter
As=2032.5mm2 Ultimate stress of concrete= 0.45 fcu = 0.45 *35 =15.8 N/mm2 > fcr = 11.5 Hence Concrete stress is not near the ultimate
Output
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Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool - Design
Project No: 001
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T3.1
Calculations
R/f to resist serviceability direct tension in mature concrete (SLS) Allowable steel stress =130 N/mm2 Ast= T/fst = 5.4*10^3/130 = 42 mm2
R/f to resist shrinkage and thermal movement in immature concrete 2.6.2.3 A2
Minimum Steel ratio in each surface zone is given by r
crit
= fct/fy = 0.0035
r = As/(bh’) Fig A.1
h’= depth of surface zone h’=h/2(h<500mm) As=0.0035*10^3*100= 350mm2/m
R/f to control crack spacing A.3
R/f in controlling crack spacing is to be provided according to cl A3 BS8007 Wmax= smax. R. α (T1+T2) Let’s take T1= 30’c T2=10’C and α= 10**10^-6/’C R= 0.5 for rigid end restraints Wmax/smax = 0.5*10*10^-6(30+10) = 2*10^-4 Smax= fct/fb* (F/2r) fct/fb = 0.67
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool - Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
BS8007
Using 12mm bars and wmax= 0.2mm
2.2.3.3.
Smax= 0.67*12/(2r) Smax= Wmax/(2*10^-4)=1000mm r = 0.67*6/1000 = 0.004
Long Wall Vertical R/F R/f to carry ULS BM= 1570 mm2/m R/f to carry out SLS BM = 3523mm2/m(@ support) ,2032mm2 (@span) R/f to resist shrinkage and thermal movement = 400 mm2/m each layer
Long Wall Horizontal R/F R/f to carry ULS tension = 19 mm2/m R/f to carry SLS tension = 42 mm2/m R/f to resist shrinkage = 400 mm2/m
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool - Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
BS 80072.6.2.3
Calculations
R/f provided
Max spacing = lesser of 300 and thickness (200mm) =200mm Spacing<200mm
Long wall (Vertical)
Y25@200mm Y25@130mm
Y25@130mm R/f provided= 3776mm2/m Y25@200mm R/f provided= 2454mm2/m Long wall (Horizontal) Y12@ 200mm both sides = 565mm2/m
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
BS8110
Calculations
Checking for Shear
3.5.5
Ultimate shear stress from the SAP analysis long wall= 1020kN/m2 V=1.02 N/mm2 0.8(fcu)^0.5 = 0.8 (35)^0.5 = 4.73 N/mm2 V< 5 or 0.8(fcu)0.5 As= 3776 mm2 100As/bd = 100*3776/(1000*135.5) = 2.7 Vc= 1.2 N/mm2
v
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
Output
BS8007
Design of walls Short wall Design
Cl 2.7.6
Thickness of the wall= 200mm Cover= 40mm Reinforcements to carry ULS bending moment
BS8110 Cl 3.4.4.4
Assume main bars to be 25mm and distribution bars to be 12mm in diameter d= 200-40-12-25/2 = 135.5 mm Mvm=31.6 kNm/m Mvs=55.7 kNm/m M= 55.7 kNm/m k’=0.156 ( No redistribution) k= M/(bd2fcu) = 55.7*10^6/(10^3*135.5^2*35) =0.086< k’ (Hence no Compression reinforcement needed) z= d(0.5+(0.25-k/0.9)^0.5) = 0.89d = 0.89*135.5 = 121mm As= M/(0.87*fyz) =55.7*10^6/(0.87*460*121) = 1150mm2
No compres sion R/f needed
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
fcr= 10 N/mm2 r =As/bd As= 0.02*10^3*135.5 =2710mm2 Ultimate stress of concrete= 0.45 fcu = 0.45 *35 =15.8 N/mm2 > fcr = 10 Hence Concrete stress is not near the ultimate
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
R/f to resist shrinkage and thermal movement in immature concrete 2.6.2.3
Minimum Steel ratio in each surface zone is given by
A2
r
crit
= fct/fy = 0.0035
r = As/(bh’)
Fig A.1
h’= depth of surface zone h’=h/2(h<500mm) As=0.0035*10^3*100= 350mm2/m
R/f to control crack spacing
A.3
R/f in controlling crack spacing is to be provided according to cl A3 BS8007 Wmax= smax. R. α (T1+T2) Let’s take T1= 30’c T2=10’C and α= 10**10^-6/’C R= 0.5 for rigid end restraints Wmax/smax = 0.5*10*10^-6(30+10) = 2*10^-4 Smax= fct/fb* (F/2r) fct/fb = 0.67
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
BS8007
Using 12mm bars and wmax= 0.2mm
2.2.3.3.
Smax= 0.67*12/(2r) Smax= Wmax/(2*10^-4)=1000mm r = 0.67*6/1000 = 0.004
Short Wall Vertical R/F R/f to carry ULS BM= 1150 mm2/m R/f to carry out SLS BM = 2710 mm2/m R/f to resist shrinkage and thermal movement = 400 mm2/m each layer
Long Wall Horizontal R/F R/f to resist shrinkage = 400 mm2/m
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
BS 80072.6.2.3
Calculations
R/f provided
Max spacing = lesser of 300 and thickness (200mm) =200mm Spacing<200mm
Short wall (Vertical)
Y20@200mm Y25@180mm
Y25@180mm R/f provided= 2727mm2/m Y20@200mm R/f provided= 1570mm2/m Long wall (Horizontal) Y12@ 200mm both sides = 565mm2/m
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
Output
1
Bottom Slab
3
2 4
Bending Moments (Considering Both Slab 1 and 2) Short way, edge M1= 80 kNm/m Short way, Span M4= 46.9 kNm/m Long way, edge M2= 66 kNm/m Long way, Span M3=19.6 kNm/m R/f to carry ULS bending Moment
M/bd^2
100As/bd
As
R/f
3.6
1
1475
Y20@200 (1570mm2)
2.1
0.55
811
Y20@200 (1570mm2)
3
0.82
1209
Y20@200 (1570mm2)
0.9
0.24
354
Y20@200 (1570mm2)
Max spacing = 3 *effective depth =3*147.5 =442>200mm
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
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Ref
Calculations
R/f to carry Serviceability BM
BS8007 -T3.1 RHBT118
Along Short Span M/(bd2)= 58*106/(103*147.52)=2.6 Allowable steel stress= fst= 130N/mm^2 From design chart, r= 0.025
fcr= 11.5 N/mm2 r =As/bd BS8007 -B2
As= 0.025*10^3*147.5 =3680mm2
Along Long Span M/(bd2)= 47*106/(103*147.52)=2.1 Allowable steel stress= fst= 130N/mm^2 From design chart, r= 0.02
fcr= 10 N/mm2 r =As/bd As= 0.02*10^3*147.5 = 2950 mm2 Ultimate stress of concrete= 0.45 fcu = 0.45 *35 =15.8 N/mm2 > fcr = 11.5,10 Hence Concrete stress is not near the ultimate
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
R/f to resist shrinkage and thermal movement in immature concrete
2.6.2.3
Minimum Steel ratio in each surface zone is given by r
A2
Fig A.1
crit
= fct/fy = 0.0035
r = As/(bh’) h’= depth of surface zone h’=h/2(h<500mm) As=0.0035*10^3*100= 350mm2/m
R/f to control crack spacing
A.3
R/f in controlling crack spacing is to be provided according to cl A3 BS8007 Wmax= smax. R. α (T1+T2) Let’s take T1= 30’c T2=10’C and α= 10**10^-6/’C R= 0.5 for rigid end restraints Wmax/smax = 0.5*10*10^-6(30+10) = 2*10^-4 Smax= fct/fb* (F/2r) fct/fb = 0.67
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
BS8007
Using 12mm bars and wmax= 0.2mm
2.2.3.3.
Smax= 0.67*12/(2r) Smax= Wmax/(2*10^-4)=1000mm r = 0.67*6/1000 = 0.004
Slab R/F R/f to carry ULS BM= 1475 mm2/m (At Support only) R/f to carry out SLS BM = 3680mm2/m (Along short span) at Support only (top) R/f to carry out SLS BM = 2950 mm2/m (Along long span) at Support only (top) R/f to carry out span BM at other places (Typical) = 811 mm2/m (Bottom span) R/f to resist shrinkage and thermal movement = 400 mm2/m each layer
Output
Sheet No:
Project: Proposed 46 storied apartment building in Rajagiriya Swimming Pool-Design
Project No: 001
Date:
Calculated by:
Checked by:
CDPGroup-02
Ref
Calculations
R/f of the Bottom Slab
At Support along short span:Y25 @ 130mm = 3775mm2/m (Top) At support along long span: Y25 @ 150mm = 3272 mm2/m (Top) At span along short span: Y12 @130mm = 870mm2/m (Bottom) At span along long span: Y12 @130 mm = 870mm2/m (Bottom) Support Bottom long and short span : Y12 @150mm At Span top short and long span way : Y12 @150mm
