numerical example of annular raftchimney conmputation raft
DESCRIPTION
TYPICAL NUMERICAL EXAMPLE OF 220M HIGH CHIMNEY ANNUALAR RAFT BASED ON TALL CHIMNEY BY S.N. MANOHARTRANSCRIPT
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
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