numerical example of annular raftchimney conmputation raft

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Unit :- KN, Metre Project : Building: Total Load 200000 kN Net safe Bearing capacity 500 kN/sqm Outer dia of shell 21.756 m Shell thickness 1.273 m 15.00 Inner dia of shell 19.21 Thickness of raft 2.75 m Outer Pedestal width 'Pop' 0.60 m Inner Pedestal width 'Pip' 0.60 m Diameter of wall centreline 'R' 20.483 m Required Area of foundation 400.0 sqm Required Outer radius 'Ro' 15.00 m Required Inner radius 'Ri' 6.50 m Taken Outer radius 'Ro' 15 m Taken Inner radius 'Ri' 6.5 m 6.5 Area of raft 574.1261 sqm Volume 1578.847 cum Moment of inertia=I= 38358.8 m4 30.00Φ Section modulus 2557.253 m3 Actual Bearing Pressure 'p' 348 kN/sqm Depth of foundation from FGL= 3.70 m 13.00Φ Unit wt of concrete 25.00 kN/sq.m 2.75 Minimum thickness= 1.65 m Min thickness based on ratio D/T12 )= 2.50 m Depth provided 2.75 m 20.48Φ Dead load OF FOUNDATIN 39471.17 kN Volume of soil above raft(out side shell)= 318.36 cum Inside the shell 149.24 cum Total Volume 467.60 cum Unit wt of soil 18.00 kN/sq.m Wt of soil above raft 8416.78 kN Wt of levelling course 1091.51 kN thickness= 75 Ri/Ro 0.43 R/Ro 0.68 FOR BENDING MOENT FOR AXIAL LOAD qa²/64 1224.687 Ang 0 qa²/192 408.2292 Distance from centre f y2/ y6 y3/ y7 y4/y8 r Mr Mt y2/ y6 y3/ y7 y4/y8 Mr Mt 15.000 1.000 -6.469 -2.673 -8.000 15.0 30872 22532 -5.773 1.158 12.000 -0.24 -853.17 30871.45 21678.40 14.500 0.967 -6.469 -2.673 -8.000 15.0 30924 22039 -5.773 1.158 12.000 37.79 -912.85 30961.94 21126.05 14.000 0.933 -6.469 -2.673 -8.000 15.0 30894 21482 -5.773 1.158 12.000 -4.99 -992.07 30889.24 20490.24 13.500 0.900 -6.469 -2.673 -8.000 15.0 30777 20857 -5.773 1.158 12.000 -130.69 -1089.32 30646.06 19767.35 13.000 0.867 -6.469 -2.673 -8.000 15.0 30566 20156 -5.773 1.158 12.000 -342.26 -1202.69 30223.46 18953.24 12.500 0.833 -6.469 -2.673 -8.000 15.0 30254 19373 -5.773 1.158 12.000 -643.68 -1329.84 29610.41 18043.24 12.000 0.800 -6.469 -2.673 -8.000 15.0 29834 18500 -5.773 1.158 12.000 -1040.26 -1467.75 28793.25 17032.01 11.500 0.767 -6.469 -2.673 -8.000 15.0 29294 17526 -5.773 1.158 12.000 -1539.03 -1612.55 27755.03 15913.51 11.000 0.733 -6.469 -2.673 -8.000 15.0 28624 16440 -5.773 1.158 12.000 -2149.28 -1759.13 26474.56 14680.92 10.500 0.700 -6.469 -2.673 -8.000 15.0 27808 15227 -5.773 1.158 12.000 -2883.24 -1900.69 24925.12 13326.58 10.000 0.667 0.472 0.356 -1.502 15.0 -3275 -2706 0.436 -0.191 0.423 -3089.53 -1935.79 6364.16 4642.16 9.500 0.633 0.472 0.356 -1.502 15.0 -2733 -2525 0.436 -0.191 0.423 -2638.08 -1887.91 5370.89 4412.81 9.000 0.600 0.472 0.356 -1.502 15.0 -2222 -2356 0.436 -0.191 0.423 -2206.42 -1871.30 4428.00 4226.84 8.500 0.567 0.472 0.356 -1.502 15.0 -1739 -2196 0.436 -0.191 0.423 -1787.55 -1891.07 3526.09 4086.95 8.000 0.533 0.472 0.356 -1.502 15.0 -1280 -2043 0.436 -0.191 0.423 -1372.39 -1954.58 2652.71 3997.14 7.500 0.500 0.472 0.356 -1.502 15.0 -842 -1891 0.436 -0.191 0.423 -948.69 -2072.51 1790.89 3963.37 7.000 0.467 0.472 0.356 -1.502 15.0 -417 -1734 0.436 -0.191 0.423 -499.41 -2260.68 916.74 3994.64 6.500 0.433 0.472 0.356 -1.502 15.0 4 -1562 0.436 -0.191 0.423 0.21 -2542.97 4.39 4104.88 Mr = ((p*(R0^2))/64)*((-12.6*f^2)-(2.3*Y2,Y6)+(0.85*Y3,Y7/f^2)-(Y4,Y8*(3.15+2.3*LN(f)))) kNm Mt = ((p*R0^2)/64)*((-5.8*f^2)-(2.3*y2,y6)-(0.85*y3,y7/(f^2))-(y4,y8*(1.45+2.3*(LN(f))))) kNm 0.863 -0.073 -0.133 0.188 15.0 -12109 -5157 Centre of outer edge of raft & outer edge of shell( f2) 0.725 -0.073 -0.133 0.188 15.0 -8728 -3436 At Outer shell face(f3) 0.683 -0.073 -0.133 0.188 15.0 -7808 -2945 At centre of wall 'f4' 0.640 -0.073 -0.133 0.188 15.0 -6949 -2471 At inner wall face 'f5' 0.537 -0.073 -0.133 0.188 15.0 -5118 -1368 Between inner side of shell & inner edge of raft 'f6' 0.433 -0.073 -0.133 0.188 15.0 -3713 -282 At inner edge of raft 'f7' Analysis of Annular Raft for Axial Loads. 06195 CHIMNEY

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TYPICAL NUMERICAL EXAMPLE OF 220M HIGH CHIMNEY ANNUALAR RAFT BASED ON TALL CHIMNEY BY S.N. MANOHAR

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Page 1: NUMERICAL EXAMPLE OF ANNULAR RAFTChimney CoNmputation RAFT

Unit :- KN, Metre Project : Building:

Total Load 200000 kN

Net safe Bearing capacity 500 kN/sqm

Outer dia of shell 21.756 m

Shell thickness 1.273 m 15.00

Inner dia of shell 19.21

Thickness of raft 2.75 m

Outer Pedestal width 'Pop' 0.60 m

Inner Pedestal width 'Pip' 0.60 m

Diameter of wall centreline 'R' 20.483 m

Required Area of foundation 400.0 sqm

Required Outer radius 'Ro' 15.00 m

Required Inner radius 'Ri' 6.50 m

Taken Outer radius 'Ro' 15 m

Taken Inner radius 'Ri' 6.5 m 6.5

Area of raft 574.1261 sqm

Volume 1578.847 cum

Moment of inertia=I= 38358.8 m4 30.00Φ

Section modulus 2557.253 m3

Actual Bearing Pressure 'p' 348 kN/sqm

Depth of foundation from FGL= 3.70 m 13.00Φ

Unit wt of concrete 25.00 kN/sq.m 2.75

Minimum thickness= 1.65 m

Min thickness based on ratio D/T≥12 )= 2.50 m

Depth provided 2.75 m 20.48Φ

Dead load OF FOUNDATIN 39471.17 kN

Volume of soil above raft(out side shell)= 318.36 cum

Inside the shell 149.24 cum

Total Volume 467.60 cum

Unit wt of soil 18.00 kN/sq.m

Wt of soil above raft 8416.78 kN

Wt of levelling course 1091.51 kN thickness= 75Ri/Ro 0.43R/Ro 0.68 FOR BENDING MOENT

FOR AXIAL LOAD qa²/64 1224.687 Ang 0 qa²/192 408.2292Distance

from centre f y2/ y6 y3/ y7 y4/y8 r Mr Mt y2/ y6 y3/ y7 y4/y8 Mr Mt

15.000 1.000 -6.469 -2.673 -8.000 15.0 30872 22532 -5.773 1.158 12.000 -0.24 -853.17 30871.45 21678.40

14.500 0.967 -6.469 -2.673 -8.000 15.0 30924 22039 -5.773 1.158 12.000 37.79 -912.85 30961.94 21126.05

14.000 0.933 -6.469 -2.673 -8.000 15.0 30894 21482 -5.773 1.158 12.000 -4.99 -992.07 30889.24 20490.24

13.500 0.900 -6.469 -2.673 -8.000 15.0 30777 20857 -5.773 1.158 12.000 -130.69 -1089.32 30646.06 19767.35

13.000 0.867 -6.469 -2.673 -8.000 15.0 30566 20156 -5.773 1.158 12.000 -342.26 -1202.69 30223.46 18953.24

12.500 0.833 -6.469 -2.673 -8.000 15.0 30254 19373 -5.773 1.158 12.000 -643.68 -1329.84 29610.41 18043.24

12.000 0.800 -6.469 -2.673 -8.000 15.0 29834 18500 -5.773 1.158 12.000 -1040.26 -1467.75 28793.25 17032.01

11.500 0.767 -6.469 -2.673 -8.000 15.0 29294 17526 -5.773 1.158 12.000 -1539.03 -1612.55 27755.03 15913.51

11.000 0.733 -6.469 -2.673 -8.000 15.0 28624 16440 -5.773 1.158 12.000 -2149.28 -1759.13 26474.56 14680.92

10.500 0.700 -6.469 -2.673 -8.000 15.0 27808 15227 -5.773 1.158 12.000 -2883.24 -1900.69 24925.12 13326.58

10.000 0.667 0.472 0.356 -1.502 15.0 -3275 -2706 0.436 -0.191 0.423 -3089.53 -1935.79 ‐6364.16 ‐4642.16

9.500 0.633 0.472 0.356 -1.502 15.0 -2733 -2525 0.436 -0.191 0.423 -2638.08 -1887.91 ‐5370.89 ‐4412.81

9.000 0.600 0.472 0.356 -1.502 15.0 -2222 -2356 0.436 -0.191 0.423 -2206.42 -1871.30 ‐4428.00 ‐4226.84

8.500 0.567 0.472 0.356 -1.502 15.0 -1739 -2196 0.436 -0.191 0.423 -1787.55 -1891.07 ‐3526.09 ‐4086.95

8.000 0.533 0.472 0.356 -1.502 15.0 -1280 -2043 0.436 -0.191 0.423 -1372.39 -1954.58 ‐2652.71 ‐3997.14

7.500 0.500 0.472 0.356 -1.502 15.0 -842 -1891 0.436 -0.191 0.423 -948.69 -2072.51 ‐1790.89 ‐3963.37

7.000 0.467 0.472 0.356 -1.502 15.0 -417 -1734 0.436 -0.191 0.423 -499.41 -2260.68 ‐916.74 ‐3994.64

6.500 0.433 0.472 0.356 -1.502 15.0 4 -1562 0.436 -0.191 0.423 0.21 -2542.97 4.39 ‐4104.88

Mr = ((p*(R0^2))/64)*((-12.6*f^2)-(2.3*Y2,Y6)+(0.85*Y3,Y7/f^2)-(Y4,Y8*(3.15+2.3*LN(f)))) kNm

Mt = ((p*R0^2)/64)*((-5.8*f^2)-(2.3*y2,y6)-(0.85*y3,y7/(f^2))-(y4,y8*(1.45+2.3*(LN(f))))) kNm

0.863 -0.073 -0.133 0.188 15.0 -12109 -5157 Centre of outer edge of raft & outer edge of shell( f2)

0.725 -0.073 -0.133 0.188 15.0 -8728 -3436 At Outer shell face(f3)

0.683 -0.073 -0.133 0.188 15.0 -7808 -2945 At centre of wall 'f4'

0.640 -0.073 -0.133 0.188 15.0 -6949 -2471 At inner wall face 'f5'

0.537 -0.073 -0.133 0.188 15.0 -5118 -1368 Between inner side of shell & inner edge of raft 'f6'

0.433 -0.073 -0.133 0.188 15.0 -3713 -282 At inner edge of raft 'f7'

Analysis of Annular Raft for Axial Loads.

06195 CHIMNEY

Page 2: NUMERICAL EXAMPLE OF ANNULAR RAFTChimney CoNmputation RAFT

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