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TRANSCRIPT
References
1. Australian/ New Zealand Standard, AS/NZS 1170. 2: 2002: Structural design actions."-Part 2: Wind actions"
2. Bowles J.E (1988), "Foundation Analysis and Design" McGraw-Hill Book
Company-New York, 1003p.
3. British Standard, BS 8110: part 1:1985: "Codes of practice for Structural use
of concrete".
4. British Standard, BS 6399: part 1:1996: "Codes of practice for dead and
1mposed \oads".
5. Building Authority Hong Kong, Code of Practice on Wind Effects Hong
Kong 1993
6. Chang, F. K., "Human Response to Motion in Tall Buildings" J. Struct. Div.,
A.S.C.E. 99, 1973,pp. 1259-1272
7. Design of buildings for high winds Sri Lanka, Ministry of Local government,
Housing and Construction, July 1980.
8. Dharmawardana, T.G.D.T., (2003), "Tall building case base", Thesis for the
Degree of master of Engineering.
9. Iyengar, H.S., (1972)," Preliminary Design and Optimization of Tall
Buildings", Proceedings,International Conference on Tall Buildings, Lehigh
University., Vol. II.
10. Jayachandran P, Design of Tall Buildings- Preliminary Design and
Optimization" International Conference on Tall Buildings and Industrial
Structures, PSG College of Technology, Coimbatore, India, January 2003,
Keynote Lecture.
11. Jayasinghe, M.T.R. Wind Loads for Tall Buildings in Sri Lanka., Full day
seminar on Structural Design for Wind loading, organised by Society of
Structural Engineers Sri lanka, 16 January 2008, Cinnamon Grand Hotel,
Colombo, Sri Lanka.
12. Manual for the design of reinforced concrete building structures, 2nd edition
(2002), The Institution of Structural Engineers, The Institution of Civil
Engineers, London, United Kingdom, pp. 15-20.
13. Mendis, P., Jayasinghe, M.T.R, Course notes on Advanced concrete
Tecnologies for Tall Buildings of short course organised by University of
Moratuwa, Sri Lanka, 06th and ih December 1996.
83
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j ~""'
~.'\ ; 1
'! I
14. Ranasinghe, A. , Jayasinghe, M.T.R. (2007) ,Dynamic behaviour of concrete
framed High rise buildings subjected to lateral loads, Thesis for the Degree of
master of engineering.
15. Rombach G.A.(2004) "Finite Element design of concrete structures- Practical
Problems and their solutions", Thomas Telford Ltd,285p
16. Sap2000 version 12.0,(2008), Integrated Softwear for structural Analysis and
Design- Analysis Reference Manual, Computers and Structures
Inc.l995,University Avenue, Berkeley, California 94704 USA.
17. Yamada, M and Goto, T,(1975) "The Criteria to Motions in Tall Buildings",
Proc. Pan-Pacific Tall Buildings Conference, Haweii, pp. 233-244
18. Scholl, R.E. (1975), "Effects Prediction Guidelines for Structures Subjected to
Lateral Loads," Report No.JAB-99-115, URS/ Blume Engineers, San
Francisco.
19. Smith, P.R.,( 1991 ), " The movement of people and goods", In Handbook of
Arcithitectural Technology, edited by J .Cowan, Van Nostrand Reinhold, New
York, pp.423-440.
20. Taranath, B. S. (1988), "Structural Analysis and Design of Tall Buildings",
McGreaw-Hill Book Company-New York, USA, 739p.
21. Taranath, B. S. (2004), "Wind and Earthquake Resistant Buildings Structural
Analysis and Design", Marcel Dekker, Cimarron Road, Monticello, New York
12701, USA, 892p
84
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Appendix A
Calculations - Determination of structural form of 40 storeyed
building with soft zoning lift arrangement
Appendix A. 1
Initial member sizing
A c
Figure A.1 General arrangement plan-40 storey building
The section dimensions of slabs and beams are selected so that the deflection criterion
could be satisfied.
Slab thickness
Select thickness as 200mm.
Clear cover to R/F =20mm
Effective depth (Assuming rlfbars of 10mm <t>) = 200-20- 1212
= 174mm
Span I Effective depth
Basic (Span I Eff. depth) for continuous slabs
Required modification factor for tension rlf
= 90001174
= 51.72
= 26
= 51.72126
= 1.99
This can be easily achieved. Therefore, use slab thickness of 200 mm
85
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Beam dimensions
Select depth as 750mm.
Clear cover to R/F =25mm
Effective depth (assuming r/fbars and links of32mm <D and lOmm <D)
= 750- 10 - 25 - 32/2
Long span I effective depth
This is a reasonable value.
Also select beam width as 350mm
= 699 mm
= 9000/699 = 12.9
Therefore, use beam dimensions of750x350 (mm x mm)
Column dimensions
Select, floor to floor height= 3.6 m
Considering a typical internal column loaded from a tributary area of 9m x 9m,
Selfweight of slab = 8 x9 X 0.2 X 24 = 345.6 kN
Weight of finishes and services(1.5 kN/m2) = 8 x9 x 1.5
Weight of partitions ( 1.0 kN/m2) = 8 x9 x 1
108 kN
72.0 kN
Weight of beams = (8+9) x 0.35 x (0.75-0.2) x 24 = 78.54 kN
Total dead load = 613 .14 kN
Imposed Loads ( 2.5 kN/m2) = 8 x 9 x 2.5 = 180 kN
Considering imposed load reduction of 50%,
Design load per floor= 1.4 x 613.14 + 1.6 x180 x 0.5 = 1002.4kN
As lateral loads are carried by shear walls, frames of a high-rise structure primarily
carry vertical loads.
31st to 40th floor
Trial column size from 41st to 501h floor = 750 mm x 750 mm
Total column load at 41 51 floor= 10 x1002.4 + 0.752 x 2.85 x 9 x24 xl.4
= 10077 kN
86
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L\ssuming columns are axially loaded primarily and Grade 40 concrete with tor steel
r, f ( fy = 460 N/mm2) percentage of 2.5% of gross cross section,
N = 0.35 Ac feu+ 0.67 Asc fy
N = 0.35 (A- Asc )x 40 + 0.67 Asc) 460
N = 14.0 A+ 294.2 Asc
N = 14.0 A+ 294.2 X 0.025 A
A= N /21.355
= 10077 X 1000/21.355
= 471880 mm2
Therefore, required column size is 687 mm x 687 mm
i.e. assumed size of 750 mm x 750 mm is satisfactory.
21st to 301h floor
Trial column size from 31st to 40111 floor = 900 mm x 900 mm
Total load at 31 51 floor = 10077+(10x1002.4 + 0.9x0.9x2.85x10x24x1.4)
=20178kN
Assuming columns are axially loaded primarily and Grade 50 concrete with tor steel
r/f (fv = 460 N/mm2) percentage of 2.5% of gross cross section.
N = 0.35 Ac feu+ 0.67 Asc fy
N = 0.35 (A- Asc )x 50+ 0.67 Asc) 460
N = 17.5 A+ 290.7 Asc
N = 17.5 A+ 290.7 X 0.025 A
A =N /24.77
= 20178 X 1000/24.77
= 814614 mm2
Therefore, required column size is 902 mm x 902 mm
i.e. assumed size of 900 mm x 900 mm is satisfactory.
11 st to 20111 floor
Trial column size from ground to 21st floor = 1100 mm x 1100 mm
Total load at 21st floor = 20 178+(1 Ox1 002.4 + 1.12x2.85x1 Ox24x1.4)
= 30318 kN
87
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Assuming columns are axially loaded primarily and Grade 50 concrete with tor steel
r/f (f~ = 460 N/mm2) percentage of 2.5% of gross cross section,
N = 0.35 Ac feu+ 0.67 Asc fy
N = 0.35 (A- Asc )x 50+ 0.67 Asc) 460
N = 17.5 A+ 290.7 Asc
N = 17.5 A+ 290.7 x 0.025 A
A= N /24.77
= 30318 X 1000/24.77
= 1223980 mm2
Therefore, required column size is 1106 mm x 1106 mm
i.e. assumed size of 1100 mm x 1100 mm is satisfactory.
Ground to 101h floor
Trial column size from ground to 11 111 floor = 1300 mm x 1300 mm
Total load at 11 111 floor = 30318+(10x1002.4 + 1.32x2.85x10x24x1.4)
= 40504 kN
Assuming columns are axially loaded primarily and Grade 50 concrete with tor steel
r/f (fy = 460 N/mm2) percentage of 2.5% of gross cross section,
N = 0.35 Ac feu+ 0.67 Asc fy
N = 0.35 (A- Asc )x 50+ 0.67 Asc) 460
N= 17.5 A+290.7 Asc
N = 17.5 A+ 290.7 x 0.025 A
A= N /24.77
= 40504 X 1000/24.77
= 1635197 mm2
Therefore, required column size is 1279 mm x 1279 mm
i.e. assumed size of 1300 mm x 1300 mm is satisfactory.
88
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Appendix A.2
Design of lifts using soft zoning technique and staircase
The calculation is carried out the method describe in Smith P.R. 1991.
Design of lifts
Number of floors
Floor to floor height
Floor area at each floor level
= 40
=3.6m
• 2 =41 x30= 1230m
Using Soft Zoning Arrangement where all the lift shafts starting at ground floor level
are continued to the top most floor, but operating system is divided into zones as
follows.
Select the zoning arrangement for the lifts in the following manner:
Lift G-1 0 -7 Gr. floor- 1oth floor -7 serves for 10 upper floors
Lift 11-20
Lift 21-30
Lift 31-40
-7 Gr. floor- 20th floor -7 serves for 10 upper floors
Express travelling from Gr. floor to 11th floor
-7 Gr. floor- 30th floor -7 serves for 10 upper floors
Express travelling from Gr. floor to 21st floor
-7 Gr. floor- 40th floor -7 serves for 10 upper floors
Express travelling from Gr. floor to 31st floor
It was decided that lift speed is either equal or more than 4.0 ms-1• Also it was
assumed that lifts reach the maximum speed of 6.0 ms- 1 during express travel length.
Lift G -10
Assuming population density of 10 m2 per person and useful floor area percentage is
75%,
Number of floors served
Total number of people per floor
Total number of occupants
89
= 10
= (1230 X 0.75/10)
= 92
= 10 X 92
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Considering population handled in 5 minutes is 12%,
5 minutes peak demand = 1 Ox92x 12/1 00
= 110
Selecting 16 passenger lifts of 4 ms-1 speed for 10 floors,
Interval between cars (select)
Round trip time (RTT)
Number of lifts
Lift 11-20
Number of floors served
Total number of occupants
= 35s
= 100 s
= 100/35
= 2.85
Use 3 Nos of lifts
= 10
= 10 X 92
Similar to calculation for previous lift and selecting 16 passenger lifts of 4 ms-1 speed
for 1 0 floors,
5 minutes peak demand
Interval between cars (select)
Round trip time (RTT)
= 110
= 35s
= 100 s
Total RTT
Number of lifts
100 + (3.6x11x2/6) = 113.2 s
Lift 21 -30
Number of floors served
= 113.2/35
= 3.23
Use 3 Nos of lifts
= 10
Total number of occupants = 1 0 x 92
Similar to calculation for previous lift and selecting 16 passenger lifts of 4 ms -1 speed
for 10 floors,
5 minutes peak demand
Interval between cars (select)
= 110
= 35 s
Round trip time (RTT) = 100 s
Total RTT = 100 + (3.6x21x2/6) = 125.2 s
Number of lifts = 125.2/35
= 3.57
Use 3 Nos of lifts
90
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Lift 31 - 40
Number of floors served = 10
Total number of occupants = 10 X 92
Similar to calculation for previous lift and selecting 16 passenger lifts of 4 ms- 1 speed
for 1 0 floors,
5 minutes peak demand
Interval between cars (select)
Round trip time (RTT)
= 110
= 35 s
= 100 s
Total RTT 100 + (3.6x31x2/6) = 1 s
Number of lifts
Arrangement of Lifts is as follows.
= 137.2/35
= 3.9
Use 4 Nos oflifts
Ground to lOth floor = 3 Nos. 16 Passenger Lifts
11th to 20th floor
21st to 30th floor
31st to 40th floor
= 3 Nos. 16 Passenger Lifts
= 3 Nos. 16 Passenger Lifts
= 4 Nos. 16 Passenger Lifts
Ground to 40th floor 1 service lift
Hence total number of lift is 14 numbers
Note: All lifts are express from ground floor to the lower most level for which it is
servmg.
Design of staircase
Staircase and landing width = 1500 mm
Rise = 150 mm
hread = 250 mm
Total No. of steps
No. of steps per flight
Therefore, flight length
= 3600/150 = 24
= (24/2)- 1 = 11
= 11 x250 = 2750mm
Thus, total internal space required for the staircase is 2.7m x 4.25m
91
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Appendix B
Calculations - Determination of structural form of 50 storeyed
building with soft zoning lift arrangement
Appendix B. 1
Initial member sizing
31-40 ;'!yFT
ni:4o !!LIFT ~~ 31-40,. '!!LIFT li ... ,-... ''21- 36' i':LIFT
:i;zi~io' !LIFT
,, zrio' :run
GLIFT
LIFT
SIFfo',i!
41.50\ LIFT ·''
41-so:'i LIFT .·
41-50 i LIFT
11. 2Q1
f
LIFT'!
. :i's LIFT{11-20i1111-20
!iLIFT )LIFT !1 LIFT
c
C/L
D
Figure B.l General arrangement plan- 50 storey building
The section dimensions of slabs and beams are selected so that the deflection criterion
could be satisfied.
Slab thickness
Select thickness as 200mm.
Clear cover to RIF = 20 mm
Effective depth (Assuming rlfbars of lOmm ct>) = 200-20- 1212
Span I Effective depth
= 174mm
= 9000/174
= 51.72
Basic (Span I Eff. depth) for continuous slabs = 26
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Required modification factor for tension r/f = 51.72/26
= 1.99
This can be easily achieved. Therefore, use slab thickness of 200 mm
Beam dimensions
Select depth as 750mm.
Clear cover to RJF = 25 mm
Effective depth (Assuming r/f bars and links of 3 2mm <D and 1 Omm <D )
= 750- 10 - 25 - 32/2
= 699 mm
Long Span I Effective depth
This is a reasonable value.
= 9000/699 = 12.9
Also select beam width as 350mm
Therefore, use beam dimensions of 750x350 (mm x mm)
Column dimensions
Floor to floor height= 3.6 m
Considering a typical internal column loaded from a tributary area of 9m x 9m,
Self weight of slab = 9 x9 X 0.2 X 24 = 388.8 kN
Weight of finishes and services(1.5 kN/m2) = 9 x9 x 1.5 121.5 kN
81.0 kN Weight of partitions ( 1.0 kN/m2) = 9 x9 x 1
Weight of beams
Total dead load
Imposed Loads ( 2.5 kN/m2)
= (9+9) X 0.35 X (0.75-0.2) X 24 = 83.16 kN
= 674.46 kN
= 9 X 9 X 2.5 = 202.5 kN
Considering imposed load reduction of 50%,
Design load per floor= 1.4 x 674.46 + 1.6 x 202.5 x 0.5 = 1106.25 kN
As lateral loads are carried by shear walls, frames of a high-rise structure primarily
carry vertical loads.
93
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41st to soth floor
Trial column size from 41st to 50th floor
Total column load at 41 51 floor
= 750 mm x 750 mm
= 10 x1106.25 + 0.752 x 2.85 x 9 x24
x1.4
11547.3kN
Assuming columns are axially loaded primarily and Grade 40 concrete with tor steel
rlf (fy = 460 N/mm2) percentage of 2.5% of gross cross section,
N = 0.35 Ac feu+ 0.67 Asc fy
N = 0.35 (A- Asc )x 40 + 0.67 Asc) 460
N = 14.0 A+ 294.2 Asc
N = 14.0 A+ 294.2 X 0.025 A
A=N /21.355
= 11547.3 X 1000/21.355
= 540729.8 mm2
Therefore, required column size is 735 mm x 735 mm
I.e. assumed size of 750 mm x 750 mm is satisfactory.
31st to 40th floor
Trial column size from 31st to 40th floor
Total load at 31st floor
= 1000 mm x 1000 mm
= 11547.3+(10x1106.25
+ 1.02x2.85x1 Ox24x1.4)
= 25389 kN
Assuming columns are axially loaded primarily and Grade 50 concrete with tor steel
r/f (f, = 460 N/mm2) percentage of2.5% of gross cross section,
N = 0.35 Ac feu+ 0.67 Asc fy
N = 0.35 (A- Asc )x 50+ 0.67 Asc) 460
N= 17.5A+290.7Asc
N = 17.5 A+ 290.7 x 0.025 A
A= N /24.77
= 25389 X 1000/24.77
= 1024990 mm2
Therefore, required column size is 1012mmx1012mm
i.e. assumed size of 1000 mm x 1000 mm is satisfactory.
94
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21st to 30th floor
Trial column size from ground to 21st floor = 1200 mm x 1200 mm
Total load at 21 51 t1oor = 25389+(10x1106.25 + 1.22x2.85x10x24x1.4)
= 37830 kN
Assuming columns are axially loaded primarily and Grade 50 concrete with tor steel
r/f (fy = 460 N/mm2) percentage of 2.5% of gross cross section,
N = 0.35 Ac feu+ 0.67 Asc fy
N = 0.35 (A- Asc )x 50+ 0.67 Asc) 460
N= 17.5A+290.7Asc
N = 17.5 A+ 290.7 X 0.025 A
A =N /24.77
= 37830 X 1000/24.77
= 1527251 mm2
Therefore, required column size is 1235 mm x 1235 mm
i.e. assumed size of 1200 mm x 1200 mm is satisfactory.
11 st to 20th floor
Trial column size from ground to 11th floor = 1450 mm x 1450 mm
Total load at 11 1h floor = 37830+(10x1106.25 + 1.452x2.85x10x24x1.4)
= 50906 kN
Assuming columns are axially loaded primarily and Grade 50 concrete with tor steel
r/f (fy = 460 N/mm2) percentage of2.5% of gross cross section,
N = 0.35 Ac feu+ 0.67 Asc fy
N = 0.35 (A - Asc )X 50+ 0.67 Asc) 460
N = 17.5 A+ 290.7 Asc
N = 17.5 A+ 290.7 X 0.025 A
A= N /24.77
= 50906 X 1000/24.77
= 2055141 mm2
Therefore, required column size is 1434 mm x 1434 mm
i.e. assumed size of 1450 mm x 1450 mm is satisfactory.
95
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Ground to lOth floor
Trial column size from ground to ground floor = 1600 mm x 1600 mm
fotalload at ground floor= 50906+(10x1106.25 + 1.62x2.85x10x24x1.4)
= 64420 kN
Assuming columns are axially loaded primarily and Grade 50 concrete with tor steel
r/f (fy = 460 N/mm2) percentage of 2.5% of gross cross section,
N = 0.35 Ac feu+ 0.67 Asc fy -
N = 0.35 (A- Asc )x 50+ 0.67 Asc) 460
N = 1 7. 5 A + 2 90.7 Asc
N = 17.5 A+ 290.7 X 0.025 A
A= N /24.77
= 64420 X 1000/24.77
= 2600725 mm2
Therefore, required column size is 1612 mm x 1612 mm
i.e. assumed size of 1600 mm x 1600 mm is satisfactory
Appendix B.2
Design of lifts using soft zoning technique and staircase
Design of lifts
Number of floors
Floor to floor height
Floor area at each floor level
=50
=3.6m
= 36x45 = 1620 m2
Using Soft Zoning Arrangement where all the lift shafts starting at ground floor level
are continued to the top most floor, but operating system is divided into zones as
follows.
Select the zoning arrangement for the lifts in the following manner:
Lift G-10 ~Gr. floor- lOth floor~ serves for 10 upper floors
Lift 11-20 ~ Gr. floor- 20th floor ~ serves for 10 upper floors
96
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Express travelling from Gr. floor to 11th floor
Lift 21-30 ~ Gr. floor- 30th floor ~ serves for 10 upper floors st Express travelling from Gr. floor to 21 floor
Lift 31-40 ~ Gr. floor- 401h floor ~ serves for 10 upper floors
Lift 41-50
st Express travelling from Gr. floor to 31 floor
~ Gr. floor- 50th floor ~ serves for 10 upper floors
Express travelling from Gr. floor to 41st floor
It was decided that lift speed is either equal or more than 4.0 ms- 1• Also it was
assumed that lifts reach the maximum speed of 6.0 ms- 1 during express travel length.
Lift G -10
Assuming population density of 10 m2 per person and useful floor area percentage is
75%,
Number of floors served
Total number of people per floor
Total number of occupants
= 10
= (1620 X 0.75/10)
= 122
= 10 X 122
Considering population handled in 5 minutes is 12%,
5 minutes peak demand = 10x122x121100
= 146
Selecting 20 passenger lifts of 4 ms-1 speed for 10 floors,
Interval between cars (select)
Round trip time (RTT)
Number of lifts
Lift 11-20
Number of floors served
Total number of occupants
97
= 35 s
= 105 s
= 105/35
=3
Use 3 Nos of lifts
= 10
= 10 X 122
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Similar to calculation for pervious lift and selecting 20 passenger lifts of 4 ms- 1 speed
for 1 0 floors,
5 minutes peak demand
Interval between cars (select)
Round trip time (R TT)
= 10x122x12/100
= 146
= 35s
= 105 s
Total RTT 105 + (3.6x11x2/6) = 118.2 s
Number of lifts = 118.2/35
= 3.37
Use 3 Nos of lifts
Lift 21 -30
Number of floors served = 10
Total number of occupants = 10 x 122
Similar to calculation for previous lift and selecting 20 passenger lifts of 4 ms- 1 speed
for 1 0 floors,
5 minutes peak demand
Interval between cars (select)
= 146
= 35 s
Round trip time (RTT) = 105 s
Total RTT = 105 + (3.6x21x2/6) = 130.2 s
Number of lifts
Lift 31 - 40
Number of floors served
= 130.2/35
= 3.72
Use 3 Nos of lifts
= 10
Total number of occupants = 1 0 x 122
Similar to calculation for previous lift and selecting 20 passenger lifts of 4 ms- 1 speed
for 10 floors,
5 minutes peak demand
Interval between cars (select)
Round trip time (RTT)
= 147
= 35 s
= 105 s
Total RTT
Number of lifts
105 + (3 .6x31 x2/6) = 142.2 s
= 142.2/35
= 4.05
Use 4 Nos of lifts
98
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Lift 41 -50
Number of floors served = 10
Total number of occupants = 10 X 122
Similar to calculation for previous lift and selecting 20 passenger lifts of 4 ms- 1 speed
for 1 0 floors,
5 minutes peak demand
Interval between cars (select)
Round trip time (R TT)
= 147
= 35 s
= 105 s
Total RTT
Number of lifts
105 + (3.6x41x2/6) = 154.2 s
= 154.4/35
=4.4
Use 4 Nos of lifts
Arrangement of Lifts is as follows.
Ground to lOth floor = 3 Nos. 20 Passenger Lifts
11 111 to 20th floor
21st to 301h floor
31st to 40th floor
41st to 50th floor
= 3 Nos. 20 Passenger Lifts
= 3 Nos. 20 Passenger Lifts
= 4 Nos. 20 Passenger Lifts
= 4 Nos. 20 Passenger Lifts
Ground to 401h floor = 1 No. Service Lifts
Hence total number of lift is 18 numbers
Note: All lifts are express from ground floor to the lower most level for which it is
servmg.
99
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Design of staircase
Select,
Staircase and landing width = 1500 mm
Rise = 150 mm
Thread = 250 mm
Total No. of steps = 36001150 = 24
No. of steps per flight = (24/2)- 1 = 11
Therefore, flight length = 11 x 250 = 2750 mm
Thus, total internal space required for the staircase is 2. 7m x 4.25m
100
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I
Appendix C
Calculation- Borehole data, initial design of pile capacities, modulus
of subgrade reaction of soil and soil spring constant
Appendix C.l
Pile capacities and diameters
This case study is carried out based on a site near Kollupitiya, Colombo 03, Sri Lanka,
soil investigation borehole data is given in Table C.1
Table C.1 Borehole data (SPT values)
SPT Values
DEPTH BH1 BH2 BH3 BH4
2 7 5 2 4
4 8 6 5 3
6 13 12 8 7
8 10 14 12 15
10 12 16 17 16
12 15 12 14 13
14 18 10 13 12
16 15 19 23 19
18 17 20 21 23
20 14 17 25 29
22 18 23 18 21
24 15 28 23 24
26 32 38 31 43
28 45 50 50 49
30 50 50 50 50
Assumed recommended end bearing capacity is 7.5 N/mm2 (this value is in a higher
margin of normally in Sri Lankan practice for end bearing capacity of rock)
It is assumed that the piles are end bearing piles for the preliminary sizing of pile.
Hence pile capacities for deferent piles sizes and are shown in Table C.2.
101
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Table C.2 Capacities of end bearing piles under deferent rock end bearing stresses
Capacity of End Bearing Piles (kN)
Pile Dia (mm) 5 N/mm2 7.5 N/mm2 8 N/mm2
1000 3927 5890 6283
I I
1200 5655 8482 9048 I I
1500 8836 13254 14137
1800 12723 19085 " 20358
Appendix C.2
Calculation of modulus of subgrade reaction and soil spring constant
of pile segment.
Calculation of modulus of subgrade reaction of soil(K) is calculated the method
proposed by Vesic (1961) as described in Chapter 2.5.2.2. The equation Eq 2.10 is
adopted for the calculation of modulus of subgrade reacrion. The spring constant of .•·
pile segments is calculated by using the Eq. 2.12 as described in Chapter 2.5.5. The
calculation is shown in Table C.3.
102
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Tab
le C
.3 C
alcu
lati
on o
f m
odul
us o
f su
bgra
de r
eact
ion
and
soil
spr
ing
cons
tant
of
pile
seg
men
ts.
Cal
cula
tion
soi
l sp
rin
g co
nst
ant
Soi
l sp
ring
con
stan
t P
ile
diam
eter
S
econ
d m
omen
t o
f in
erti
a o
f pi
le
Poi
sson
's r
atio
E
last
ic m
odul
us o
f so
il
Ela
stic
mod
ulus
of
pile
mat
eria
l( co
ncre
te)
Seg
men
t le
ngth
of p
ile(
spri
ng s
paci
ng)
SP
T V
alue
s (f
rom
bor
e ho
le d
ata)
Dep
th
BH
1 B
H2
BH
3 B
H4
2 7
5 2
4
4 8
6 5
3
6 13
12
8
7
8 10
14
12
15
10
12
16
17
16
12
15
12
14
13
14
18
10
13
12
16
15
19
23
19
18
17
20
21
23
20
14
17
25
29
22
18
23
18
21
24
15
28
23
24
26
32
38
31
43
28
45
50
50
49
30
50
50
50
50
ks
0 Ip
~ Es
Ep
B Ave
rage
S
PT
4.
5 5.
5 10
.0
12.8
15
.3
13.5
13
.3
19.0
20
.3
21.3
20
.0
22.5
c3
6.0
48.5
50
.0
1.5
m
~=
BxKJ
3.
9760
78
mm
4 0.
35
650N
(N
-S
PT
val
ue)
2.60
E+
07
kN/m
m2
2 m
Es
2925
35
75
6500
82
87.5
99
12.5
87
75
8612
.5
1235
0 13
162.
5 13
812.
5 13
000
1462
5 23
400
3152
5 32
500
103
K
(kN
/m2
)
1036
.2
1287
.9
2461
.2
3202
.2
3887
.7
3406
.8
3338
.5
4933
.3
5285
.8
5569
.2
5215
.1
5924
.9
9858
.5
1361
5.6
1407
2.4
••,r
·j·
.7-:J ~;
.....
Vi-
, ...
'~'<
... "1
'" ~·
B
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
ks
2072
25
76
4922
64
04
7775
68
14
6677
98
67
1057
2 11
138
1043
0 11
850
1971
7 27
231
2814
5
Rou
nd o
f V
alue
ofk
s (k
N/m
) 20
00
2500
50
00
6400
78
00
6800
67
00
9900
10
600
1110
0 10
400
1180
0 19
800
2720
0 28
150
Pile cap dimensions
Table C.4 Reinforced Concrete Designer's Handbook, (Reynolds C. E.)
Number of pile>
2
3
4
5
Notation:
X
DimcusiOtt'> <':If ptle ~.:ap
"f~ _.t...,.
J~ "".
,~ . ~--x ·+ ~~J~
it'~ 1)". +JlJ~
hp - diameter of pile
a, b - dimensions of column;
T ll'n~ilo~ for;;e to t;.e re~i~ ttd by r>ri nfon:tment Negle.;tmg size Taking :;it..:: ()[ ~lumn
t>f column into cnnsider:uic•n
Nl 4&
;\'1
')d
Nl B;j
Nl lOJ
N 12i,/'ll' a>)
N ,. ~ l'ar-.1llelto X ·X: 'j6ij(4f• ;- b1
- Ju l
"' 'i&l;i121' - b') Parallel to Y- 'r'
Par;.nel w x .. :o.· N,cw -.., 1 ) 24/.,
PamlleltQ }'. 1'"· ,...
24!J(311 -· hl}
N f'araltel to X. X: : ·-- (IF - 11
1 \
30/J'
P•uallel !o f. i'; N
Jol.Pfl - bl l
a- spacing factor of piles (normally between 2 and 3 depending on ground
conditions)
104
;; .. -
~
~ ;~. fl-
f <_'t
' "' .
Appendix D
Wind load calculation
~-~~-.:e
Tatie jJ
WIND lOAD CALCULA TOIN
AS/NZS1170.2
Locaton: Reg·on 6
Catt:u at'<>n
Tu•an: s.t!>u•ban te~·n fcv a ~r·ro:on Topog-aphy: G•ound sope e'!Z than t :nzofo• g•eate- than 5krn 'n a- O:tro·onE.
r:frnens'Drts: WXlth
&•eadth
4$ rn ~rn
Kroangu a• c•o'!'£ >-ect'on
He::;ta 1$0 m e.u r..ta,io•ax! 'sEast ·'A~st Re:nfo~ced coocrete const•uct'on: cwtain .,.,.,.-, fa~ade on a· tou•tacas !:Wi!'ytr;:quance.s, f\l"' 0.25S6 Mode shapesarefineM {k= 1.0)
Ave•age bu>:f rg dertsty = 160 kglm'
4Sm
< .. "'": ~m
'•"'.,,
::.>\
18> m
''··L--------'
Regiooof wind sp€ed IA::co•o:.ng tot~ su:Ai:ng cooeot AuEt•a ::a {OC~ t~ Wuctu•e sl\ou d be treated as
arA:i ove'li· st-u<:u' a Leve. 3. HJ?oce take av<rag!: rKu~er<:e nte•va. R, fo•
•esponEeea(jua.to L00\'!?3'>. !"om Tat>e 3.1. V:.oc = 38 rrh Fo• e<Pcu ston or a<:cee'i!ton!. ttse a 5-'j•eM ~ectum PJi!'<Xl t~ten, v$
105
CUt l>ut
·'
= 23 rrv's
f.':;.··' v, ,.t
• :!< •
~~<e Cit <:ti:at ·on
S« 3.32 IWmd di~ction multiplier Fe· e, M • = o. 9S fo• O\'!?~U' n · ng b r<:eo..s
fo· Et'1.icto•a £1!.!ta-n fo• a d •ect:Onli
io!Ate 4.1.4
M o " LO fo·
Terrain. he jght multiplier : = h = 180 m for 1'!?· <an Cateo~ry
1.14 M,,., = M~"•·.l ::
Shielding
4
The-~? a-e no othE" be< fo· a d·roon..s.
ot g-eate• ·n any d·-~·-ron. Take lv\ ::: 1.0
Topography Topo:grapy lv\lif p(J.?r ;:;; M,::: M., "' LO
Site wmd s{H!€d ::: \'~ X M• X I>.\""' X fv\ Ste w·nd !prod for a a··ect:Ons fo•overa· cad.: ood I'Y'.a·n
V.t<;f :: 35. X 0.95 X .LI.4 ;: LO
Fe• accae-aton cacet:.afoll! {$,e-vk:~?at>: 'tvL V.t•i ::: 2B :>: l..O X 1.14 X U.)
R>t v. •• s: = .35 ); l..O X U.4 X LO
Design Wind Speed Fe• a v/r.:l w rd 5-prod~.
X M.,
!?t
X 1.0 = 4l.ts mls
)' 1.0 = 31.92: mls
X l..O = 43.32 rws
v ..... = v ...... 4U5 mls C\<e'i! oadsand m:frut•uctu•a-
31.92 mls iK:t~?~?rat':>n 4332 f!Vs
Aerodynamic shape fiu:tor fpres~s
T 5.2A Wndward wa:.: 0.8 fo• varyng z T 52 B l€'e' • ..a~dw3.: {r •• ::vma to 53rn wa !: -o.s r 52 B L~1..a•dwa <E !~o·ma· to 56rn wa l .0.45 T 52 c Sdewa ..s .0.65 T 53 A Roof: -13
sec. Area redoctlcm frx:tar 5.4 2 fo• e ernent g•eater than 1rorn: in a•ea on •oof o• s·d-ewa: 5
1
r Hi ILa<:ol preSSl.lre foctors a= m n:rnom of 0.2 x s-s = 112 m o~ 100 m m t ngt<butary ar~s fo• .oca: p~es..sc•efuctors:
106
K. :: 0.8
a ::: 112 m 025 a1 = 3L:i5 m~
a' "' 125.4
OJt Pot
!f\
:,~· "-,\ '·
r ,·;;.
~ ;~l ;; ~ \.
~ f I I
~-~-e: .. e"~:e
53
T£.i
S.K 3.7
cacu~:On
can be con:Sde-Eil to be ~ffert:\'E')' saa oo. :::: .0.2 o• o
Adion cmnbmtkm ft:K:tw K, = 1.0
D yoomk response factor c..,," to be obtaneil f•om S!N::f.::H: £.2..2 fo· <long-w~nd :€'S.pon:.~ c.,·' c.,., to ~ ol>tiinM as a p:ooua t·om s«t<>n l>.32 to· c·os.s-w nil ·e~nse
colcuJofion ofo!ong-wind c .tpr
Tu'bu:ance 'nten:.'t;• at Z= h, ~ = 0.143 lte"an catego;-y si Bl
BaA::kgrourwi f:mor, B, s • $.the tO be COnS de' Eil
& = ----:~_:_ ___ .....
+ --~.:.!_.:.:::~£ i L,
L, = B5 [...!:._ ] c;~ = 85 [ 1~ ]0~ = i 75.\)SC\2 m 10 10
Fe· b = 45 fl1, $ = 100 !fo• bil~ ben<! ng
i B, =
1 + v[ 0 26!180-0)1
+0.4€tl45j1
11.5
= 0,8515 =
Ri' b :: 36 m, £. :: 100 !for ba~ ben<! ng momf:!lt)
i !1., ::
1 + v[ 026(180-0!1 +0.45(3-6)1
11~
:: 0.817!>5
H, = 1.0
~ = V[ 2 ogiSOOnd ::: v[ 2og{500{020l]
:::: 3.17
~ = :U.7
sh~~oof:mor, s g,v :::: 3,7
107
CtltPut
i ~~ ~'
,'·t •• \
' :!> •
\~~'~
s :; [ 1 +
35nh{i+"' 1 * .::v~f
v .... , S:m •mucton facto•,
Cal cu at ·on
l
l [ 1 +-""-"·······
s " l
v ....
[ 1 . ' ""'"' 1 [ 1. + •. ,., ->··· v • .,.t v., .••
fO' b = 45 m
]
s ~ -----------------------------------------------------------------( 1 + .J,...-,..,.,_""""·n·i,.~o•~t""~~tP".,.__Jtt
4L2. ·~~5 1
-2.70945)
::: 0.0529
Fo~ b = 35 rn 1
s = ----------------_...,..----LS!O.:B )!i80)!1+!3. 71(0. 143!!
412 [ 1 + - " ]( l+ ' " "41.15"
::: 1.
6.983 H Bt\756 l = o.oro5
~au:yfre:pwy, N
N n,t,.,(1 +
=--- " 0.25 X 11!H 1.+ 3.7 X 0.1.4
"~·-' 4U54
::: H-5213
nN E, :-· "' 0.054
[1+
{, of .st 'lictu -a <l a rn p.· ng to cf' f<:a ) :taka as o.m ! tail> ;;, s. 2)
i 2l .If "< "<:i'_ .. , \, + ' 'i\ "'v B, + _;;;.. ___ J
-------------------~-----l+2g<,J~
fO• b = 45 m 2
1 + zx 0143 v{ 2 1 X 3.7 X 0.8.515 + 3.17 X 005 X 0.1 }
\.~,"' -1 + 2 X 3 7 X O.i43
"' 0.9140
108
Q.rt ll'llt
~ :_~. r:-' . '\
• ~ .
Tab
le D
. I C
alcu
lati
on o
f win
d fo
rce
per
unit
are
a-
40 s
tore
y bu
ildi
ng (
Gro
und
floo
r to
I i
11 fl
oor)
WIN
O lO
AD
CA
LC
UL
AT
ION
to
AS
/NZ
S1
17
0.1
No
of
Stt
:xye
s
He
gh
t o
f bu
ild
ing
F
loo
r to
flo
or
he
igh
t
Wid
th o
f b
uil
din
g
Bre
ath
of
Bui
ldin
g T
err
ain
Ca
teg
ory
Re
gio
n
v}f
Ma
jo.9
sl M
,
K,
J0.80J
K
,
lh
10.1
43
I g
, L3
2421
~J
S{m
) M
.._""
' v,.
....o
~';;ht 0
0 7
50
0
27
.07
5
EL6
0
.75
00
2
7.0
75
7.2
{)
75
00
2
7.0
75
10
.8
0. 7
SC>:
J 27
J37
S
14
.4
07
50
0
27
07
5
18
0
7SC>
::l
27 0
75
21
.6
07
58
0
27
36
4
25
.2
0.7
76
0
28
.01
4
28
3
0.7
94
0
28
.66
3
32
4
0&
12
0
29
31
3
36
0
.33
00
2
9.9
63
39
.6
08
4&
0
::k
)61
3
43
.2
03
66
0
31
.26
3
46
,8
0.8
39
8
32
.12
~T4
0.9
01
3
32
.53
6
54
0
.91
23
3
2,9
52
57
.6
0.9
24
3
33 3
68
61 2
0
93
53
3
3 7
34
-
~
. M,~
J1.0
0J
K,
p.oof
H
, p.o
ol t .
• ! 1
661
B,
Sa
d:g
rou
nd
Fa
cto
r
41 wd~
3)
vr<f
tn
0.6
78
3
0.6
34
9
0.6
33
1
0&
39
9
0.6
3.0
0
0.6
95
0
06
92
9
0.7
00
2
0.6
97
&
07
05
4
0.7
02
8
07
10
7
0.7
07
9
07
16
1
0.7
13
0
0.7
21
5
0.7
18
1
0.7
27
0
0.7
23
3
07
32
6
0.7
23
6
07
38
2
07
33
3
07
43
9
0 7
39
1
0.7
49
7
0.7
44
5
0.7
55
5
07
49
9
0.7
61
4
0 7
55
3
07
67
4
0 76
.07
07
73
4
07
66
1
07
79
4
FO
R
40
S
TO
RY
EO
BU
ILD
ING
Acco
rdin
g t
o A
S 1
17
0.4
-1
99
3 Clau~ 6
24
fu
nd
am
en
tal p
eri
od
(T
o)"
' H
/45
Fir
st M
od
e o
fVlb
rati
oo
(n
0) =
(1/T
0)
M,,
~1
.~
Kp 1u~
!lv ~
~ jo
o~
s S
ize
Fa
cto
r
41
Vf'd
-1h
3)
V[d
th
(),0
25
0
0.0
31
3
0.0
25
0
00
31
3
0.0
25
0
Ct0
013
0.0
25
0
0.0
31
3
00
25
0
00
31
3
00
25
0
00
31
3
00
25
5
0.0
31
3
0.0
26
5
0.0
33
.?
00
27
5
00
34
2
00
28
5
00
35
5
0.0
29
5
0.03
67
00
:;(}
6
00
:37
9
0 0
31
&
0.0
39
2
0.0
33
0
0.04
\.."'9
00
33
7
O.O
t17
00
34
4
0.0
42
5
0 0
35
1
00
43
3
00
35
3
00
44
1
c,..
Win
dw
ard
s w
alls
C,.
Le
ew
ard
:s w
alls n
orm
a! t
o
c,..,
Le
ew
ard
s w
alls n
orm
a! t
o
forc
e
05p~;,xV"""~
6xC,rx
p,·
. =
1.
2
=
C,_..
, X K
. X
K,
X I(
X
N
f,
c~ .•
Dyn
am
ic F
att
er
4l
V£d
'th
:0
W-~h
2.9
87
0
,04
3
0.9
14
5
09
17
3
2.9
37
0
,01
3
0.9
16
0
0.9
19
3
2.5
&7
0
.04
3
0.9
17
5
0.9
20
9
2.9
&7
0
.04
3
0.9
19
0
0_
92
24
2.9
37
{)
04
3
09
20
5
09
24
0
.2.9
37
0.0
43
0
92
20
0
92
56
2.9
56
0
.04
4
09
23
6
0.9
27
4
2.8
37
0
.04
4
0.9
25
5
0.9
29
4
2.3
22
0
.04
5
0.9
27
3
09
31
3
2.7
59
0
04
6
09
29
1
09
33
4
2.6
99
0
04
6
0.9
31
0
09
35
4
2 6
42
0
.04
7
09
32
9
09
37
4
2.5
87
0.
():;
8 0
93
43
0
93
95
2.5
13
o
():;
9 0
.93
63
0
.94
17
2.4
36
O
.Ot9
0
.93
86
(l
94
37
24
54
0
05
0
09
40
3
09
45
6
2.4
24
0
05
0
09
42
1
09
47
&
2 3
94
0
.05
0
09
43
9
0.9
49
6
110
<1
Hz
Th
e
sh
ou
ld b
e d
ete
rmin
ed
c,.,.,
C;.,.
~
41
m
wam
30
m
wa
l! ~
. 4
(kN
/m')
Fo
rce
pe
r U
nit
Are
a
\f{r
.A/!
1\ct
"T,.'
J::>
4
1
Vi-f'l~~~d
0.2
57
4
0.2
57
8
0 2
58
3
0.2
58
7
02
59
1
02
59
5
02
65
6
0.2
78
9
02
92
&
03
0£
6
0.3
21
0
0 3
35
7
03
50
8
0.3
71
1
0.3
31
5
0 3
92
1
0 40
"'23
04
13
7
.• :. '4
-.~'1
: :;-J
·~
11 ~
· "'<
~"'
....
. .!l
'r
'!'""
l.ee~rci!.
-0.1
75
9
-0.1
75
9
-0.1
75
9
-0.1
75
9
-01
75
9
-0.1
75
'9
-01
79
7
-0.1
83
3
-01
97
2
~\l2062
-0.2
15
5
~02249
~0.2346
-(},
24
76
-0.2
54
1
-02
&0
5
·0.2
67
2
-0.2
73
9
!l"'
S-\c
ie
To
tal
0.4
33
4
0.4
33
3
0.4
34
2
0.4
34
6
0.4
35
0
0.4
35
5
0.4
45
3
0.4
67
2
0.4
89
7
0-5
12
8
0.5
36
4
0.5
60
6
0.5
SS
4
0.6
18
7
0.6
35
6
0.6
52
7
0.6
]1)0
0.6
87
6
forc
e p
er
Un
it A
rea
Vftrl~"'"f".;,':t-:;,
30
rr5
"-d
'"!:
Vi\
tt-.
3¥•N
d Le
oe-.v
;., .. :
:h
To
tal
0.2
53
3
-0.1
50
6
0.4
08
9
0 2
53
8
-0 1
50&
0
.40
94
0.2
59
2
-0.1
50
6
0.4
09
8
02
59
7
-0.1
50
6
0.4
10
3
02
G0
1
-01
50
6
0.4
10
7
0 26
C6
·OlS
OG
0
.41
12
02
66
7
-01
53
8
0.4
20
S
0 2
30
1
-01
61
2
0.4
41
3
0.2
93
8
-0.1
6&
8
0.4
62
6
o.;;x
;.so
-01
76
5
0.4
34
5
0 3
22
5
-0.1
84
4
o.50
69 I
0
33
73
-0
19
25
0
.52
99
0.3
52
6
-0.2
00
ft
0.5
53
4
0.3
73
1
-0.2
12
0
0.5
35
0
03
33
6
-0.2
17
5
0.6
01
1
0 3'
943
-0 2
23
1
0.6
17
4
0 4
05
1
-0 2
28
7
0.6
33
9
0 4
16
2
~0.2345
0.6
50
7
Tab
le 0
.2 C
alcu
lati
on o
f w
ind
forc
e pe
r un
it a
rea
-40
sto
rey
buil
ding
(18
111 fl
oor
to 3
5111
floo
r)
WIN
D L
OA
D C
ALC
ULA
T!O
N to~NZS1170 .2
No
of
Sto
rye
s
He
g h
t o
f bu
ild
ing
F
loo
r to
fl•X
>r
he
igh
t
Wid
th o
f b
uild
ing
Elf e
ath
of
Bu
ildin
g
Te
rra
in C
ate
go
ry
Re
gio
n
v~
M"
10.951
M
,
K, ~
K,
'·
jo.1
43
1 g
• 1 s
:z4-~1s
1
S{m
} M
"-""
IV
......
(I
Me'
;ht
&4
.3
36.4
&1
3& 7
21
3&
93
1
37 2
23
37
,43
7
37
,64
5
37
.&5
3
38.0
&1
11.00)
M
, 11.
001
K,
11.oo1
H
, 11.
001
L,
11
66
1
B,
B-a
ckgr
ound
Fa
cto
r
41
VF
d:h
D
vr
--=t
t~-
O.u
15
0
78
55
o_n?
O
0.7
91
&
07
32
4
07
97
8
87
3
0.8
03
9
.79
31
0
.81
01
79
84
0
.31
63
0.8
22
5
o_ro
ss
0&
28
7
0.&
:13
3
08
34
3
OJ1
133
oa~s
0,3
23
6
03
46
7
08
23
1
03
52
4
0 8
32
5
-I
---
--I
3S .. 2
&91
~-
--~
3S
47
7
03
4
38
68
5
FOR
4
0
ST
OR
YE
D B
UIL
DIN
G
Acc
ord
ing
to
AS
11
70
.4-1
99
3 C
lau
9:
f> 2.
4 F
un
da
me
nta
l pe
rio
d (
To
F
H/4
6
~s
~Hz
Fkst
Mo
de
of V
ibra
tio
n (
n 0
) =
(1/T
0)
M,.
ILO
OI
K ~
fLOOI
g
. [!
!]
z 10.
051
s
00
39
5
0.0
43
4
0.0
39
3
0.0
48
3
00
40
3
00
49
5
0.0
40
Z
oosr
o 0
04
12
00
44
2
00
5<
10
C""
Win
dw
ard
s w
aH
s
C;>e
Le
ew
ard
sw
aH
s n
orm
alt
o
Le
ew
ard
s w
alls
nor
ma!
to
Fo
rce
0
.5r,
.. X
V,,.
/.G X
r ~.
1 ') ·"-
c~i\
0 C
,..,
X 1<
.. X K
< X
K X
Kc
N
IE,
cw,
Dy
nam
ic F
atte
r
4!.
\'1--
:!V.
?D
Vid
h
09
45
7
09
51
&
0.9
47
5
0.35
3&
0.9
49
3
0.9
55
6
0.9
51
0
0.95
7&
0.9
52
7
0.3
59
5
2.2
50
0
.05
2
0.9
54
3
0.9
61
4
09
55
9
0.9&
32
0.9
57
5
0.9
65
1
09
59
1
09
&7
0
09
60
&
0.9
63
3
0.9
62
1
0.97
0&
0.9
63
5
0.9
72
3
0.9&
4&
0.9
73
9
0.0
54
0
96
60
0
97
55
--
0.0
54
0
96
72
0.
.977
0 --
0.0
55
0
96
83
0
97
34
--
0.0
55
0.
9&92
0
.97
97
2 0
91
10
05
5
0.9
70
1
nser
e
111
<1
Hz
Th
e
sho
uld
be
de
term
ine
d
41
m wa~
30
m
wa
ll
c...~
Fo
rce
pe
r U
nit
Are
a
~
ilrM
~or
-r_.
-. t
::>
41.
T
S'-c
i-e
vrn~a"d
~~v,Q.:"dt,
0,4
24
3
-0.2
80
7
0.4
3&
0
... (}2
87
6
0.7
23
5
0.4
47
3
-0.2
94
5
0.7
41
9
0.4
58
2
-0.3
01
1
0.7
59
3
0.4
65
S
-0.3
05
6
0.7
7'1
3
0.4
73
4
-{}
31
00
0
.7&
34
0.4
&1
1
-0.3
14
5
0.7
95
6
0.4
88
&
-03
19
1
0.8
07
9
0.4
96
6
-03
23
6
0.&
20
2
0.5
04
5
~03232
0.8
32
7
0.5
12
0
-0 3
32
6
0.8
44
7
0.5
18
5
~\13364
0.8
54
9
0 5
25
0
-0.3
40
1
0.8
65
1
0.5
31
5
~0_3439
0.8
75
0.5
33
0
-0. 3
4,;
l 0
.88
5
0.5
44
5
-0.3
51
5
0.8
96
0
0.5
51
0
-0.3
55
3
0.9
06
3
0.4
33
3
0.4
50
3
0.4&
13
0.4&
91
0.4
76
9
0.4&
47
0.4
82
7
0.5
00
7
o.so
sa
0 5
16
6
0 5
23
3
0.5
5&
9
-0.2
4&2
0.6
84
9
-0.2
52
1
0.7
02
4
-02
57
3
0.7
19
1
-0.2
61
6
0.7
30
&
-02
65
4
0.7
42
3
-0.2
69
2
0.7
54
0
-<l2
73
1
0.7
65
8
-0.2
uO
0
.71
77
-0 2
31
0
0.7
S9
7
-0.2
84
7
0.0
01
3
-02
&7
9
0.8
11
2
-0.3
04
1
0.8
61
1
0 5
57
5
-0.3
59
2
0.9
1&
6 I
0 5
63
6 I
-03
07
41
{M
.!711
.,:·*·
~",' "
.:.1!,
It'
-. "'""
~··
Tab
le D
.3 C
alcu
lati
on o
f win
d fo
rce
per
unit
are
a -
40 s
tore
y bu
ildi
ng (3
6th
floo
r to
40t
h fl
oor)
WIN
D to
AD
CA
LCU
LA T
!ON
to
AS
/NZ
S1
17
0.2
FO
R
40
S
TO
RY
ED
BU
ILD
ING
No
of
Sto
rve
s -
m
Acc
ord
ing
to
AS
1170
4 ·
199
3 C
!au9
e 6
.2 4
F
un
da
me
:nta
lpe
r!o
d(T
.,)=
H
/46
H
eg
ht o
f bu
ild
ing
F
loo
r to
floo
r h
eig
ht
Wid
th o
f b
uild
ing
F
irst
l'v1
ode
ofV
UJr
ati
on
(n
0)
=(1
/T,:;
) [3
13Js
~Hz
<1
Hz
Th
e
sho
uld
be
de
term
ine
d
Bre
ath
of
Bu
ildin
g
Te
rra
in C
ate
go
ry
Re
gio
n
v~
Me
(o.<:~
sl M
,
K.
Jo.801
K
c
I-~
10.1
43
I g
.
S(m
) M~-
l-'c
\;t'
·t
1.0
77
4
38
,39
3
10
03
1
39
10
1
1.0
88
9
39
.30
9
10
94
6
39
51
7
1.1
00
4
39
.72
4
rn
Cit
y C
en
ter
Ne
ar to
Se
a
3Slm
/s
M,
ll.OOJ
M
. ll.O
OJ
JLoo
l K
, ll.O
OJ
Kp
IL
ool
H,
Jl.OOJ
g
. (!
!]
L,
11&6
1 z
joosl
8,
s B
ack
gro
un
d F
acto
r si
ze F
acto
r
41
\1[-
.ot.h
D
vr
-f'!k
h 41
V
l;d:
th
D
\l~-dh
0.3
52
0
O.S
$4
5
0.0
44
6
0.0
54
4
0.3
53
3
0.3
27
1
0.0
54
3
0.3
55
1
0.3
89
0
00
55
3
0.3
55
9
03
90
2
00
55
7
0.3
56
2
0.3
90
6
00
46
0
.05
61
C,.
Win
dw
ard
s w
alls
C,.
Le
:ew
ard
s 'N
aHs
no
rma
l to
C,.
Le
:ew
ard
s ov
aHs
no
rma
!to
4
1 m
w
all
30
m
wa
ll
~
Fo
rce
O
. .Sr <
,X V
ce
•. q
X
X C
cf··
(k
N/m
k)
r •..
1.2
kN
/mz
C,_
. X
1\,
X K
, X K
X K
"
N
lEt
cay.,
D
yna
mic
: F
acto
r
41
Vf.
d:t
h
'!;)
V
kdt:
h
20
3)
0.0
55
0
.97
09
0
9$
13
2.0
69
0
.05
5
09
71
5
0.9
32
7
2.0
58
O
.CS
5
0.9
72
0
<19
833
20
tfl
00
56
<
J97
23
0
93
33
2 0
36
0
.05
6
0.9
72
5
0.9
34
:)
112
Fo
rce
pe
r U
nit
Are
a
\*/'
nd
t,.o-
-<r.
;;,'
t:<
4
1
<r,
.:;:d<
e:
\*/'
r-,-
M ;;;
,Md
05
63
9
0.5
70
3
0.5
76
7
0.5
33
0
0.5
39
3
.,:·*'~
-~-J
,:~,
~ ~
·· ~ ,~
,
~ ..
~ 7
.
~,e~~~
To
tal
.{1
36
:0
0.9
27
0
-0.3
66
9
0.9
37
3
-03
70
S
0.9
47
5
~o 3
74
8
0.9
57
8
-03
78
7
0.9
68
0
Fo
rce
pe
r U
nit
Are
a
\&fr
rl No-
-n-~
" to
3
0
T
3-'C
>e
~N~~e
Tot
al
·<1
31
0&
0
.83
11
-03
14
1
0.8
91
0
-03
17
4
0.9
00
9
~o 3
20
8
0.9
10
7
-03
24
2
0.9
20
5
Table 0.4 Calculation of wind loads on grid locations as point loads in 40 storey
building
40 STOREY BUILDING- WIND LOADS ON GRIDS
Wind normal to 41m side Wind normal to 30m long side
Storey Height Force per GRIDS Force per GRIDS unit area AIF B/E C/D unit area I I 5 2/4
Ground 0 0.433 6.24 12.48 13.26 0.409 6.62 15.46
I 3.6 0.434 6.25 12.49 13.27 0.409 6.63 15.47
2 7.2 0.434 6.25 12.50 13.29 0.410 6.64 15.49
3 10.8 0.435 6.26 12.52 13.30 " 0.410 6.65 15.51
4 14.4 0.435 6.26 12.53 13.31 0.411 6.65 15.52
5 18 0.435 6.27 12.54 13.33 0.411 6.66 15.54
6 21.6 0.445 6.41 12.82 13.63 0.420 6.81 15.89
7 25.2 0.467 6.73 1:3.46 14.30 0.441 7.15 16.68
8 28.8 0.490 7.05 14.10 14.99 0.463 7.49 17.49
9 32.4 0.513 7.38 14.77 15.69 0.484 7.85 18.31
10 36 0.536 7.72 15.45 16.41 0.507 8.21 19.16
1 1 39.6 0.561 8.07 16.15 17.16 0.530 8.58 20.03
12 43.2 0.585 8.43 16.86 17.91 0.553 8.96 20.92
13 46.8 0.619 8.91 17.82 18.93 0.585 9.48 22.11
14 50.4 0.636 9.15 18.31 19.45 0.601 9.74 22.72
15 54 0.653 9.40 18.80 19.97 0.617 10.00 23.34
16 57.6 0.670 9.65 19.30 20.50 0.634 10.27 23.96
17 61.2 0.688 9.90 19.80 21.04 0.651 10.54 24.59
18 64.8 0.705 10.16 20.32 21.59 0.668 10.82 25.24
19 68.4 0.724 10.42 20.84 22.14 0.685 II. I 0 25.89
20 72 0.742 10.68 21.37 22.70 0.702 11.38• 26.55
21 75.6 0.759 10.93 21.87 23.24 0.719 11.65 27.18
22 79.2 0.771 11.11 22.21 23.60 0.731 11.84 27.62
23 82.8 0.783 11.28 22.56 23.97 0.742 12.02 28.06
24 86.4 0.796 11.46 22.91 24.35 0.754 12.21 28.50
25 90 0.808 11.63 23.27 24.72 0.766 12.41 28.95
26 93.6 0.820 11.81 23.62 25.10 0.778 12.60 29.40
27 97.2 0.833 11.99 23.98 25.48 0.790 12.79 29.85
28 100.8 0.845 12.16 24.33 25.85 0.801 12.98 30.29
29 104.4 0.855 12.31 24.62 26.16 0.811 13.14 30.66
30 108 0.865 12.46 24.92 26.47 0.821 13.30 31.04
31 111.6 0.875 12.61 25.21 26.79 0.831 13.46 31.42
32 115.2 0.886 12.75 25.51 27.10 0.841 13.63 31.79
33 118.8 0.896 12.90 25.81 27.42 0.851 13.79 32.17
34 122.4 0.906 13.05 26.10 27.73 0.861 13.95 32.55
35 126 0.917 13.20 26.40 28.05 0.871 14.11 32.93
36 129.6 0.927 13.35 26.70 28.36 0.881 14.27 33.30
37 133.2 0.937 13.50 26.99 28.68 0.891 14.43 33.68
38 136.8 0.948 13.64 27.29 28.99 0.901 14.59 34.05
39 140.4 0.958 13.79 27.58 29.31 0.911 14.75 34.43
40 144 0.968 13.94 27.88 29.62 0.920 14.91 34.79
113
,)- ~- i
:~ ;~:. ~' . ' " ~
Tab
le D
.S C
alcu
lati
on o
f win
d fo
rce
per
unit
are
a-
50 s
tore
y bu
ildi
ng (
Gro
und
floo
r to
1 i11
floo
r)
WIN
D L
OA
D C
ALC
UtA
TIO
N to
AS
/NZ
S11
70.2
FO
R
50
STO
RY
ED
BU
ILD
ING
No
of
Sto
ryes
-
Acc
ord
ing
to
AS
11
70
.4 ·1
99
3 C
!au
:e 6
2.4
fu
nd
am
en
tal p
eri
od
(T
0 )=
H
,/46
s He~ht o
f bu
l!d
ing
F
loo
r to
flo
or
t<ei
g h
t
VV id
tl! o
f bu
iidin
g
&e
at!
! o
f B
uild
ing
Te
rra
in C
ate
go
ry
Reg
ion
Fir
st M
od
e o
f Vib
rati
on
(n
0) "'
(1/T
0)
Hz
<1
Hz
Th
e
sho
uld
be
de
term
ine
d
VA
3Sir
n/s
M,_,
10.
951
M,
M,
ILooJ
M,.
ILo
ol f(,_
. JO
.SOI
K,
JLOOJ
K
, JLO
Oj K
p p.o
ol f"
....
.....,..
... lt
u45
1 H
, Jl.O
OJ
gy ~
g,
Ln I 1
751
' lo
os1
S{m
) B
, s
~';ht
&a
ckg
rou
nd
Fa
cto
r
06
70
:2
0.0
27
S
00
32
2
0.6
74
8
0.02
&0
{}03
27
0.6
79
4
0.0
29
1
00
34
0
06
84
0
0.03
\}2
0.0
35
2
06
33
7
00
31
3
0036
-1-
06
93
5
00
32
4
00
37
7
~.613
06
92
3
06
53
3
0,0
33
5
0.03
9:3
43 2
0
.86
60
31
,263
0
69
69
0
.70
32
0
03
47
{
}0
40
2
46
.3
O.S
S9S
32
,12
0.7
01
6
0.7
08
1
0.0
36
2
0.0
41
3
50
4
09
01
3
32
.53
6
0.7
06
3
07
13
1
00
36
9
0,0
42
&
54
0 9
12
3
32 9
52
0
71
11
0
.71
31
0
03
77
0
.04
36
57
6
0 9
24
3
33
,36
3
07
15
9
07
23
2
0.0
33
4
0.0'
<44
61 2
0
93
53
33
.7S
4 0
72
00
Q
72
83
0
.03
92
0
.04
53
C?e
Win
dw
ard
s w
aHs
Le
ew
ard
swa
Hs
no
rma
lto
Le
ew
ard
s w
alls
no
rma
l to
For
ce
osp,
. xv_·.~x
P<·
1.2
c,. X
K, X
K"
X K
. X. K
9
N
IE,
cdr,
Dyn
am
ic F
act
or
>S W4~ I
31
;
2,5
27
0
0'<
9
0.9
11
4
0.9
13
9
2.S
OO
0.
0'<
9 0
.91
29
0
91
5S
2.44
2 0
.05
0
0.9
14
6
0.9
17
3
2,3
87
0
.05
0
09
16
3
0.9
19
1
2-3
34
0
05
1
09
18
1
09
21
0
2_2S
3 0
.05
2
0.9
15
3
0.9
22
8
2,2
35
0
.05
3
0.3
21
6
09
24
7
2.11
33
0.0
53
0
.92
34
0
.32
66
21~
0.0
54
0
92
53
0
92
86
2.1
03
0
.05
5
0.9
27
0
09
30
4
2 0
76
0
05
5
09
28
7
09
32
2
2.0S
tJ
0.0
56
0
93
03
0
.93
40
2.0
25
0
.05
6
09
32
-J
0.9
35
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ll
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rce
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it A
rea
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-''
1tl
"\r
-·
Tab
le D
.6 C
alcu
lati
on o
f win
d fo
rce
per
unit
are
a-
50 s
tore
ys b
uild
ing
(18t
h fl
oor
to 3
5th
floo
r)
WtN
DI.
.OA
D C
AlC
UlA
TIO
N to
AS
/NZ
S1
17
0.2
FO
R
50
ST
OR
YE
D B
UIL
DIN
G
No
of
Sto
ryes
r5
0
Acc
ord
ing
to
AS
11
70
4 ·
19
93
C!a
u9
:;6
.2 4
F
un
da
me
nta
l pe
rio
d (
T 0
)"'
H/4
6
He
gh
t o
f b
uild
ing
fl
oor
to fl
oo
r h
eig
ht
Wid
th o
f b
uild
ing
F
irst
Mo
de
of V
ibra
tion
(n
0) =
(1/T
0)
Hz
< 1
Hz
Th
e C
6,,
, sh
ou
ld b
e d
e:te
rm in
ed
Bre
ath
of
Bu
ildin
g
Te
rra
in C
ateg
ory
Reg
ion
v ..
M,
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Tab
le 0
.7 C
alcu
lati
on o
f win
d fo
rce
per
unit
are
a-
50 s
tore
ys b
uild
ing
(361 h
floo
r to
50111
fl
oor)
WIN
D L
OA
D C
AI.C
ULA
TIO
N t
o A
S/N
ZS
11
70
.l
FOR
5
0
ST
OR
YE
D B
UilD
ING
No
of
Sto
rve
s r-5
0'
Ao
::o
rdin
g t
o A
S 1
17
0.4
-1
99
3 C
lau5
e 6.
2.4
fu
nd
am
en
tal p
eri
od
( T
0 )=
H
/46
.$
H
e{:
ht
of
bu
l!d
lng
F
loo
r to
flo
or
he
igh
t
Wid
th o
f b
uild
ing
Bre
ath
of
Bu
i!d
ing
T
err
ain
Ca
teg
ory
Re
gio
n
Fir
st f\
•1od
e o
f Vib
rati
on
{n
,,)
;(1
/Tc)
H
z <
1Hz
Th
e
.sh
ou
ld b
e d
ete
rmin
ed
v.,
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10.
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M"
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0.4
14
4
16
2
16
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16
9.2
17
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17
6.4
13
0
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m/s
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, 11.
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p.ool
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(kN
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7
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o ss
as
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rce
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r U
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l
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26
7 I
O
.SS
94
Table 0.8 Calculation of wind loads on grid locations as point loads in 50 storey
building
50 STOREY BUILDING - WIND LOADS ON GRIDS
Wind normal to 45m side Wind normal to 36m side
Storey Height Force per GRIDS Force per GRIDS
Unit Area 1 I 5 2/4 3 Unit Area AIF B/E C/D 1 Ground 0 0.431 7.36 13.95 13.95 0.414 6.70 13.40 13.40
I 3.6 0.431 7.37 13.96 13.96 0.414 6.71 13.42 13.42 1
2 7.2 0.431 7.38 13.98 13.98 0.414 6.71 13.43 13.43 3 10.8 0.432 7.38 13.99 13.99 0.415 6.72 13.44 13.44 4 14.4 0.432 7.39 14.00 14.00 0.415 6.73 13.45 13.45 5 18 0.432 7.40 14.01 14.01 0.416 6.73 13.47 13.47 6 21.6 0.442 7.56 14.33 14.33 0.425 6.88 13.77 13.77 7 25.2 0.464 7.93 15.03 15.03 0.446 7.22 14.45 14.45 8 28.8 0.486 8.32 15.76 15.76 0.467 7.57 15.15 15.15 9 32.4 0.509 8.71 16.50 16.50 0.489 7.93 15.86 15.86 10 36 0.533 9.11 17.26 17.26 0.512 8.30 16.59 16.59 II 39.6 0.557 9.52 18.03 18.03 0.535 8.67 17.34 17.34 12 43.2 0.581 9.94 18.83 18.83 0.559 9.05 18.11 18.11 13 46.8 0.614 10.50 19.90 19.90 0.591 9.57 19.14 19.14 14 50.4 0.631 10.79 20.44 20.44 0.607 9.83 19.66 19.66 15 54 0.648 11.08 20.99 20.99 0.623 10.10 20.19 20.19 16 57.6 0.665 11.37 21.55 21.55 0.640 10.37 20.73 20 73 17 61.2 0.682 11.67 22.11 22.11 0.657 10.64 21.28 21.28 18 64.8 0.700 11.97 22.68 22.68 0.674 10.91 21.83 21.83 19 68.4 0.718 12.28 23.26 23.26 0.691 11.20 22.39 22.39 20 72 0.736 12.59 23.85 23.85 0.709 11.48 22.96 22.96 21 75.6 0.753 12.88 24.41 24.41 0.725 11.75 23.50 23.50 22 79.2 0.765 13.09 24.80 24.80 0.737 11.94 23.88 23.88 23 82.8 0.777 13.29 25.19 25.19 0.749 12.13 24.25 24.25 24 86.4 0.789 13.50 25.58 25.58 0.760 12.32 24.63 2463 25 90 0.802 13.71 25.97 25.97 0.772 12.51 25.02 25.02 26 93.6 0.814 13.92 26.37 26.37 0.784 12.70 25.4). 25.41 27 97.2 0.826 14.13 26.78 26.78 0.796 12.90 25.80 25.80 28 100.8 0.838 14.34 27.16 27.16 0.808 13.09 26.17 26.17 29 104.4 0.849 14.51 27.50 27.50 0.818 13.25 26.50 26.50 30 108 0.859 14.69 27.83 27.83 0.828 13.41 26.82 26.82 31 111.6 0.869 14.86 28.16 28.16 0.838 13.58 27.15 27.15 32 115.2 0.880 15.04 28.50 28.50 0.848 13.74 27.48 27.48 33 118.8 0.890 15.22 28.84 28.84 0.858 13.91 27.81 27.81 34 122.4 0.901 15.40 29.18 29.18 0.869 14.07 28.15 28.15 35 126 0.911 15.58 29.53 29.53 0.879 14.24 28.48 28.48 36 129.6 0.922 15.77 29.87 29.87 0.889 14.41 28.82 28.82 37 133.2 0.933 15.95 30.22 30.22 0.900 14.58 29.16 29.16 38 136.8 0.943 16.13 30.56 30.56 0.910 1475 29.50 29.50 39 140.4 0.954 16.32 30.91 30.91 0.921 14.92 29.84 29.84 40 144 0.965 16.50 31.26 31.26 0.932 15.09 30.18 30.18 41 147.6 0.976 16.69 31.61 31.61 0.942 15.26 30.53 30.53 42 151.2 0.985 16.85 31.92 31.92 0.952 15.41 30.83 30.83 43 154.8 0.992 16.97 32.15 32.15 0.958 15.53 31.05 31 05 44 158.4 0.999 17.09 32.37 32.37 0.965 15.64 31.27 31.27 45 162 1.()06 17.20 32.60 32.60 0.972 15.75 31.49 31.49 46 165.6 1.013 17.32 32.82 32.82 0.979 15.86 31.71 31.71 47 169.2 1.020 17.44 33.04 33.04 0.985 15.96 31.93 31.93 48 172.8 1.027 17.55 33.26 33.26 0.992 16.07 32.14 32.14 49 176.4 1.033 17.67 33.48 33.48 0.999 16.18 32.36 32.36 50 180 1.040 17.78 33.69 33.69 1.005 16.28 32.56 32.56
117
-..;,:. ~,
.~~ . ,· ' "' .
Appendix E
SAP model figures
)(X-Y J1Jl<t6t'Z::o·l.2
Figure E.l Pile cap layout (SAP model)
storey building
~3-D View
I I I I r II I I II I I I' I I II I I I I I I d I I I II I I II I I II I I I \ I I II I I I I
Ci?T®J~
Figure E.2 SAP model 3D view of 50
Figure E.3 SAP model 3D view of a piles group ( 4 piles)
118
l~ ~-~·
''
. ; t t ~. i ' .. , ;