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phase 2ppt.pptx
1. PLANNING, ANALYSIS, DESIGN
AND ESTIMATION OF G+5
RESIDENTIAL APARTMENT
Guide by:
Dr.R. Saraswathi M.E.,Ph.D.,
Submitted by:
CHANDRU V (1901008)
DHINAKARAN M (1901012)
MATHAN KUMAR M (1901034)
YOGESHWARAN S (1901055)
4. 4
Design of one way slab:
1
Shorter span (lx) 1600mm
Longer span(ly) 4190mm
characteristic strength of concrete(fck) 20N/mm2
yield stress(fy) 415N/mm2
cover 20mm
dia of bar 10mm
live load 3KN/m2
breadth(b) 1m
wall thickness(wt) 230mm
modification factor 1.2
effective depth ratio 26
fos 1.5
2TYPE OF SLAB
ly/lx 2.62
one way
3THICKNESS OF SLAB
Calculated depth 75mm d 75mm
Assumed Depth D 150mm D 150
Effective depth d 125
5. Design of one way slab:
5
4EFFECTIVE LENGTH
leff1 clear span + effective depth 1725mm
leff2
c/c distance between
supports 1830mm
leff 1725mm Leff 1725mm
5LOAD CALCULATION
dead load
self weigth 3.75
Floor finish(FF) 1
total dl 4.75
factored dead load 7.125 F. DL 7.125KN/m2
live load 3
factored live load 4.5 F. LL 4.5KN/m2
Total load 11.625KN/m2
6CALCULATION OF BENDING MOMENT
Span BM end(+ve) 1.04KN
Support BM end(-ve) -0.98KN
Span BM mid (+ve) 0.82KN
Support BM mid (-ve) -1.09KN
Bending moment +ve 3.09KNm
Bending moment -ve 2.92KNm 3.09KNm
6. Design of one way slab:
6
7CHECK FOR EFFECTIVE DEPTH
dep required 50mm
dreq< dprov hence ok check for depth hence ok
8Ast CALCULATION
Ast required
Mu/(0.87*fy*) 8571.25c
Ast -125b
Ast^2 0.02075a
b^2-4ac 14913.59
SQRT(*b^2-4ac) 122.12
Ast 5954.73
69.37
min ast 180
max ast 6000
ast 180mm2
check hence ok check for ast hence ok
spacing 300mm
7. Design of one way slab:
7
Mu/(0.87*fy*) 8076.76c
Ast -125b Distribution steel:
Ast^2 0.02075a
b^2-4ac 14954.63 min ast 180
SQRT(*b^2-4ac) 122.29 Spacing 279
Ast 5958.77
65.32
min ast 180
max ast 6000
ast 180.00mm2
check hence ok % M20
spacing 300mm 0.15 0.28
Ast provided (∏/4*d^2*1000)/spacing 262mm2 0.17
0.32
check hence ok check for ast hence ok 0.25 0.48
9CHECK FOR SHEAR
Vu 10.03
Ʈv Vu/b*D 0.07
percentage of steel 100*ast/b*D 0.17
Ʈc 0.32
Ʈc max 2.8
check hence ok check for shear hence ok
8. Design of one way slab:
8
10CHECK FOR DEFLECTION
fs 165.58
kt 1.6
kc 1
kf 1
actual deflection 21.33
permissible deflection 41.6
check hence ok check for deflection hence ok
Provide
Provide 10mm dia bars at 300mm c/c distance along shorter direction at middle span as main reinforcemnet
& 10mm dia bars at 300mm c/c at supports.
Provide 8mm dia bars at 275 mm c/c distance as distribution steel along longer direction
10. Design of two way slab:
10
DESIGN OF SLAB:(s4 one long edge discontinuous)
1BASIC DATA :
ly 6.63m fy 415.00N/mm2
lx 5.11m fck 20.00N/mm2
Thickness of support 230mm
Clear cover 20mm
2TYPE OF SLAB :
Span Ratio 1.30 LESS THAN 2
Therefore Design the slab as two way slab
3DEPTH :
Depth 110.00mm
Assumed depth 150mm
Effective Depth 124mm
4EFFECTIVE SPAN :
For lx
a)C/C between Supports 5.34m As per IS 456:2000
b)Clear Span + Eff. depth 5.23m
cl 22.2, pg-34
lxeff 5.23m
11. Design of two way slab:
11
4EFFECTIVE SPAN :
For lx
a)C/C between Supports 5.34m As per IS 456:2000
b)
Clear Span + Eff.
depth
5.23m
cl 22.2, pg-34
lxeff 5.23m
For ly
a)C/C between Supports 6.86m
b)
Clear Span + Eff.
depth
6.75m
lyeff 6.75m
5LOAD CALCULATION :
Dead Load 3.75kN/m As per IS 875-2 1987
Live Load 3kN/m cl 23.2.1, pg-37
Floor Finish 1kN/m
Total Load 7.75kN/m
12. Design of two way slab:
12
Design Load 7.75kN/m
Factored Load 11.625kN/m ly/lx Positive moment αx ly/lx Negative moment αx
1.2 0.0390 1.2 0.0520
6CALCULATION OF COEFFICIENTS : 1.29 0.0553 1.29 0.0565
lx/ly 1.29 1.3 0.0570 1.3 0.0570
Positive moment αx 0.0553
Negative moment αx 0.0565
Positive moment αy 0.028
Negative moment αy 0.0370
7CALCULATION OF BENDING MOMENTS :
Mux(+ve) 16.78KNm
Mux(-ve) 17.16KNm
Muy(+ve) 8.50KNm
Muy(-ve) 11.23KNm
7CHECK FOR DEPTH :
Mumax 17.16KNm
dreq 78.84mm
Check dreq < dprovided
If not
increase
thedepth
13. Design of two way slab:
13
8AREA OF REINFORCEMENT REQUIRED :
a)
AREA OF STEEL ALONG SHORTER DIRECTION (mid span)
Mu=0.87*fy*Ast*(d-(Ast*fy)/(b*fck))
Mu/(0.87*fy*) 46471.333c
Ast -124b
Ast^2 0.0207500a
b^2-4ac 11518.879
SQRT(*b^2-4ac) 107.326
Ast 5574.122
401.78
Ast minimum 180mm2
Ast required 401.78mm2
Spacing 195mm Using 10 mm dia
Provided Spacing 190mm
Ast provided 413mm2
Therefore provide 10 mm dia at 190 mm c/c in shorter direction mid span
14. Design of two way slab:
14
b)AREA OF STEEL ALONG SHORTER DIRECTION (edge)
Mu=0.87*fy*Ast*(d-(Ast*fy)/(b*fck))
Mu/(0.87*fy) 47519.621c
Ast -124b
Ast^2 0.0207500a
b^2-4ac 11431.871
SQRT(*b^2-4ac) 106.920
Ast 5564.336
411.57
Ast minimum 180mm2
Ast required 411.57mm2 Astreq < Astmin
Spacing 436mm Using 10 mm dia
Provided Spacing 300mm
Ast provided 262mm2
Therefore provide 10mm dia at 300mm c/c in shorter direction supports
15. Design of two way slab:
15
c)
AREA OF STEEL ALONG LONGER DIRECTION (mid span)
Mu=0.87*fy*Ast*(d-(Ast*fy)/(b*fck))
Mu/(0.87*fy*) 23541.029c
Ast -124b
Ast^2 0.0207500a
b^2-4ac 13422.095
SQRT(*b^2-4ac) 115.854
Ast 5779.609
196.29
Ast minimum 180mm2
Ast required 196.29mm2
Spacing 400mm Using 10 mm dia
Provided Spacing 300mm
Ast provided 262mm2
Therefore provide 10 mm dia at 300 mm c/c in longer direction mid span
16. Design of two way slab:
16
c)
AREA OF STEEL ALONG LONGER DIRECTION (edge)
Mu=0.87*fy*Ast*(d-(Ast*fy)/(b*fck))
Mu/(0.87*fy*) 31107.788c
Ast -124b
Ast^2 0.0207500a
b^2-4ac 12794.054
SQRT(*b^2-4ac) 113.111
Ast 5713.513
262.39
Ast minimum 180mm2
Ast required 262.39mm2
Spacing 299mm Using 10 mm dia
Provided Spacing 290mm
Ast provided 271mm2
Therefore provide 10 mm dia at 290 mm c/c in longer direction supports
17. Design of two way slab:
17
9CHECK FOR SHEAR :
Vu=W*Lx/2 29.70KN
τv=Vu/b*d 0.24N/mm2
For τc % M20
Pt 0.33% 0.25 0.28
τc 0.31 0.33 0.31
K 1.3 0.5 0.36
K*τc 0.39861N/mm2
For τcmax
τcmax 2.80N/mm2
τv < K*τc < τcmax Hence safe in shear.
10
CHECK FOR
DEFLECTION :
Permissible l/d=M*26 46.80
Actual l/d 34.07
Hence safe in deflection
18. Design of two way slab:
18
11Torsional Reinforcement
3/4 of Ast at midspan 301.34mm2
Use 8 mm bars
No of bars 6nos
Length of Reinforcement lx/5
1.02m
The Reinforcement mesh should beprovided at top and bottom
of the slab at corners
Mesh size is 1.05m X 1.05m
21. Reinforcement details:
21
Slab ly lx ly/lx End condition Reinforcement
S1 5.11 3.58 1.43 Two adjacen edges are discontinuous
provide 10 mm dia at 300 mm c/c in mid span of shorter direction
provide 10mm dia at 300mm c/c in supports of shorter direction
provide 10 mm dia at 300 mm c/c in mid span of longer direction
provide 10 mm dia at 300 mm c/c in supports of longer direction
S2 5.11 3.58 1.43 Two adjacen edges are discontinuous
provide 10 mm dia at 300 mm c/c in mid span of shorter direction
provide 10mm dia at 300mm c/c in supports of shorter direction
provide 10 mm dia at 300 mm c/c in mid span of longer direction
provide 10 mm dia at 300 mm c/c in supports of longer direction
S3 5.11 4.19 1.22 Interior panel
provide 10 mm dia at 300 mm c/c in mid span of shorter direction
provide 10mm dia at 300mm c/c in supports of shorter direction
provide 10 mm dia at 300 mm c/c in mid span of longer direction
provide 10 mm dia at 300 mm c/c in supports of longer direction
S4 6.63 5.11 1.30 one long edge discontinuous
provide 10 mm dia at 190 mm c/c in mid span of shorter direction
provide 10mm dia at 300mm c/c in supports of shorter direction
provide 10 mm dia at 300 mm c/c in mid span of longer direction
provide 10 mm dia at 290 mm c/c in supports of longer direction
S5 6.63 5.11 1.30 Interior panel
provide 10 mm dia at 300 mm c/c in mid span of shorter direction
provide 10mm dia at 300mm c/c in supports of shorter direction
provide 10 mm dia at 300 mm c/c in mid span of longer direction
provide 10 mm dia at 300 mm c/c in supports of longer direction
22. Reinforcement details:
22
S6 5.11 5.11 1.00 Two adjacen edges are discontinuous
provide 10 mm dia at 300 mm c/c in mid span of shorter direction
provide 10mm dia at 300mm c/c in supports of shorter direction
provide 10 mm dia at 300 mm c/c in mid span of longer direction
provide 10 mm dia at 230 mm c/c in supports of longer direction
S7 5.11 5.11 1.00 one short edge discontinuous
provide 10 mm dia at 300 mm c/c in mid span of shorter direction
provide 10mm dia at 300mm c/c in supports of shorter direction
provide 10 mm dia at 300 mm c/c in mid span of longer direction
provide 10 mm dia at 275 mm c/c in supports of longer direction
S8 4.19 2.25 1.86 Interior panel
provide 10 mm dia at 300 mm c/c in mid span of shorter direction
provide 10mm dia at 300mm c/c in supports of shorter direction
provide 10 mm dia at 300 mm c/c in mid span of longer direction
provide 10 mm dia at 300 mm c/c in supports of longer direction
S9 5.11 3.58 1.43 one long edge discontinuous
provide 10 mm dia at 300 mm c/c in mid span of shorter direction
provide 10mm dia at 300mm c/c in supports of shorter direction
provide 10 mm dia at 300 mm c/c in mid span of longer direction
provide 10 mm dia at 300 mm c/c in supports of longer direction
S10 4.19 1.6 2.62 End span continous
Provide 10mm dia bars at 300mm c/c distance along shorter direction at middle span as main
reinforcement
provide 10mm dia at 300mm c/c in supports
Provide 8mm dia bars at 275 mm c/c distance as distribution steel along longer direction
S11 5.11 1.33 3.84 End span continous
Provide 10mm dia bars at 300mm c/c distance along shorter direction at middle span as main
reinforcement
provide 10mm dia at 300mm c/c in supports
Provide 8mm dia bars at 275 mm c/c distance as distribution steel along longer direction
23. Reinforcement details:
23
S12 7.16 1.6 4.48 End span continous
Provide 10mm dia bars at 300mm c/c distance along shorter direction at middle span as main
reinforcement
provide 10mm dia at 300mm c/c in supports
Provide 8mm dia bars at 275 mm c/c distance as distribution steel along longer direction
S13 15.32 1.6 9.58 End span continous
Provide 10mm dia bars at 300mm c/c distance along shorter direction at middle span as main
reinforcement
provide 10mm dia at 300mm c/c in supports
Provide 8mm dia bars at 275 mm c/c distance as distribution steel along longer direction
29. Manual 2D Frame Analysis
By Substitute Frame Method,
29
FIXED END MOMENTS:
DL TL
MAB -94.46kNm -115.645kNm
MBA 94.46kNm 115.64kNm
MBC -105.18kNm -128.72kNm
MCB 105.18kNm -105.18kNm
MCD -97.27kNm -244.24kNm
MDC 97.27kNm 244.24kNm
MDE -105.04kNm -128.53kNm
MED 105.04kNm 128.53kNm
MEF -94.46kNm -115.64kNm
MFE 94.46kNm 115.64kNm
30. Manual 2D Frame Analysis
Distribution Factor:
30
Joint Member Relative
Stiffness
Sum of
Stiffness
Distribution
factor
A
AB 0.196
0.821
0.238
AG 0.313 0.381
AH 0.313 0.381
B
BA 0.196
1.016
0.193
BI 0.313 0.307
BJ 0.313 0.307
BC 0.196 0.193
C
CB 0.196
1.020
0.192
CK 0.313 0.307
CL 0.313 0.307
CD 0.199 0.195
D
DC 0.199
1.020
0.195
DM 0.313 0.307
DN 0.313 0.307
DE 0.196 0.192
E
ED 0.196
1.016
0.193
EO 0.313 0.307
EP 0.313 0.307
EF 0.196 0.193
F
FE 0.196
0.821
0.238
FQ 0.313 0.381
FR 0.313 0.381
31. Manual 2D Frame Analysis
Calculation of final moment at Ends:
31
13.03 0.097
At A, 10.46 7.91
At span AB LL is added 13.03 -0.25
Joint A B C
Members AG AH AB BA BI BJ BC CB CK CL CD
D.F. 0.381 0.381 0.238 0.193 0.307 0.307 0.193 0.192 0.307 0.195 0.195
FEM -115.645 115.645 -105.185 105.185 -97.27
Balancing 44.035 44.035 27.575 -2.014 -3.216 -3.216 -2.014 -1.519 -2.426 -1.543 -1.54
C.O. -1.007 13.788 -0.759 -1.007 0.76
balancing 0.383 0.383 0.240 -2.508 -4.006 -4.006 -2.508 0.048 0.077 0.049 0.05
CO -1.254 0.120 0.024 -1.254 0.174
Balancing 0.48 0.478 0.299 -1.564 -13.028 -1.564 -1.564 0.121 0.121 0.121 0.12
Final moments 44.896 44.896 -89.791 123.466 -20.250 -8.786 -112.007 101.574 -2.228 -1.373 -97.713
32. Manual 2D Frame Analysis
32
0.69 4.05
-7.76 10.57
-1.79 -10.52
D E F
DC DM DN DE ED EO EP EF FE FQ FR
0.195 0.307 0.307 0.192 0.193 0.307 0.307 0.193 0.238 0.381 0.381
97.27 -105.04 105.04 -94.46 94.46
1.51 2.38 2.38 1.49 -2.04 -3.25 -3.25 -2.04 -22.53 -35.97 -35.97
-0.77 -1.02 0.75 -11.26 -1.02
0.35 0.55 0.55 0.34 2.03 3.23 3.23 2.03 0.24 0.39 0.39
0.024 1.013 0.172 0.121 1.013
-0.02 -0.02 -0.02 -0.02 -0.70 -0.70 -0.70 -0.70 -0.25 -0.39 -0.39
98.370 2.911 2.911 -103.224 105.246 -0.712 -0.712 -106.312 71.932 -35.975 -35.975