3.5
Y dir Col A
Col B 0.45
ETABS NODE NO. Conc grade = Steel grade = A) Proportioning of base size: Y - dir Size of column A = 300 30 0 mm Size of column B = 300 30 0 mm Ultimate load carrrid by column A Ultimate load carrrid by column B
X dir
Col A=1
Col B=2
M20 Fe415 X - dir x 230 mm x 230 mm = =
307.5 303
Additional MY 2 1
kN kN
SBC of the soil =
200
kN/m
Working load carrrid by column A = Working load carrrid by column B = Self wt of footing (10% of column load)=
20 5 20 2 41
kN kN kN
Total working load =
44 8
kN
Length of footing =
3 .5 0
m
Requried area of footing = Width of footing = Provide width of footing =
2 .2 4 0 .6 4 0.75
m m m
Provide Footing size of
3.50 m
x 0.75 m
2
2
= 2.63
2
m
As in this case, the property line is present on both end of column, hence there is no possibility of projection, so the pressure will not be uniform if the c.g. of footing and the c.g. of load does not coincide. In such case fooring will become eccentric and hence the pressure will be non-uni C.G of load system from end face of col A= = ( 308 x 0 .1 1 5 ) +
( 303 x
3 .3 8 5 )
( 30 8 + = C.G. of footing =
1 .7 4
m
1 .7 5
m
30 3 )
Eccentricity of load w.r.t c.g. of footing =
0 .0 1
Moment due to eccentricity = Total Moment Pressure calculation :
x 0.01 )
( 4 07
Int Intens ensity of of pres ressure due to to Ax Axial load oad = =
( 2 05
m
+ 202 ) /
2 .6 3 M/Z= x 3.50
= 15 5
kN/m
2
kN/m
2
x 3.50 ) / 6
=
=4
( 15 5
Pmin =
kN m kN m
P /A =
Intensity of pressure due to Moment = = 6/ ( 0.75
Pmax =
=5 =6
+4)
( 15 5
-4)
= 159 kN/m
2
= 151 kN/m
2
OK OK
1 0 .1 1 5
0 .1 1 5
151 15 9
15 7
15 1
159
Loa Load per metre etre run of slab =
Avg pr pressure x 1 m ( 15 8 x 1.00 ) Load per metre run of slab due to ultimate pressure = ( 15 8 x 1.50 )
Cantilever projection of slab @ face of beam = Maximum ultimate moment = d required =
(3 ( 1 00 0
Try overall depth Effective depth d = Ast=
40
( 23 7 x 10^6 ) x 2.76 )
= 230 mm 1 84 mm mm
2
x 0.15 2 =
= 15 8
kN/m
= 23 7
kN/m
= 0.15
m
x 0.15 ) 31
=3 mm
Width = 1000 End depth= 175 Effective end depth d =
( 30 8 + = C.G. of footing =
1 .7 4
m
1 .7 5
m
30 3 )
Eccentricity of load w.r.t c.g. of footing =
0 .0 1
Moment due to eccentricity = Total Moment Pressure calculation :
x 0.01 )
( 4 07
Int Intens ensity of of pres ressure due to to Ax Axial load oad = =
( 2 05
m
+ 202 ) /
2 .6 3 M/Z= x 3.50
= 15 5
kN/m
2
kN/m
2
x 3.50 ) / 6
=
=4
( 15 5
Pmin =
kN m kN m
P /A =
Intensity of pressure due to Moment = = 6/ ( 0.75
Pmax =
=5 =6
+4)
( 15 5
-4)
= 159 kN/m
2
= 151 kN/m
2
OK OK
1 0 .1 1 5
0 .1 1 5
151 15 9
15 7
15 1
159
Loa Load per metre etre run of slab =
Avg pr pressure x 1 m ( 15 8 x 1.00 ) Load per metre run of slab due to ultimate pressure = ( 15 8 x 1.50 )
Cantilever projection of slab @ face of beam = Maximum ultimate moment = d required =
(3 ( 1 00 0
Try overall depth Effective depth d = Ast=
40
( 23 7 x 10^6 ) x 2.76 )
= 230 mm 1 84 mm mm
2
x 0.15 2 =
= 15 8
kN/m
= 23 7
kN/m
= 0.15
m
x 0.15 ) 31
=3 mm
Width = 1000 End depth= 175 Effective end depth d =
Required is
Y8
@
1 24 7
mm
Provide
Y8
@
200
mm
Distribution steel =
( 0.12 %
x 1 00 0
x 20 3 )
Provide
Y8
@
225
Shear @ d= Shear = ζ v=
- 0 .0 3 4 m -8 kN 2 N/mm -0.06
ζ c=
0.355
N/mm
Section for depth is
OK
2
= 2 51 =
2 43
mm
= 2 23
Enter depth at d location (From SP16)
Design of Longitudinal beam : -
307.5
30 3
1.62 0 .1 1 5
3 .2 7
0 .1 1 5
17 0 174 179 179 Load Diagram
2 0 .5 4
1.62 0.541
283.43
19.57 170.76 286.96
S.F.Diagram
17 0
-231.2201
1.18
1.13 B.M.Diagram
As in the central portion of beam, the moment is hogging, i.e. the tension is on th top portion of beam, hence the beam at the central portion will be designed as th isolated T- beam. Reinforcement at the central portion:
bf =
=
0.750
=
750
mm
bw =
=
450
mm
Let provide depth of beam Effective depth of beam
= =
605 541
mm mm
1206
mm
Ast=
1266
Provide
mm
2
6 Nos. Y 16 mm
Shear at d from face of column Shear = 171
=
ζ v=
0.70
ζ c=
0.330
N/mm
2
Section for depth is
0.30 %
(From SP16) PROVIDE STIRRUPS
Shear to be resisted by stirrups = Try stirrups of 2-legged Y8
2
0.964 m
kN 2 N/mm
Provide
m
90.42
kN
Y 8 mm @ 217 mm @
200
mm
= 251
SUMMARY: Provide Footing size of
3.50 m
x 0.75 m
SLAB RENFORCEMENT: Provide
Y8
@
200
mm
Provide
Y8
@
300
mm
BEAM REINFORCEMENT: TOP: -
9 Nos. Y 12 mm
oment MX 2 2
orm.
kN m / metre
mm mm 129
mm
2
mm
0.16 %
2
mm
2
mm
0.17 %
Load per metre
27 685.8
2
mm
3.5
Y dir Col A
Col B 0.45
ETABS NODE NO. Conc grade = Steel grade = A) Proportioning of base size: Y - dir Size of column A = 300 mm Size of column B = 300 mm Ultimate load carrrid by column A Ultimate load carrrid by column B
X dir
Col A=3
Col B=4
M20 Fe415 X - dir x 230 mm x 230 mm = =
385.5 372
Additional MY 2 2
kN kN
SBC of the soil =
200
kN/m
Working load carrrid by column A = Working load carrrid by column B = Self wt of footing (10% of column load)=
257 248 51
kN kN kN
Total working load =
556
kN
Length of footing =
3.50
m
Requried area of footing = Width of footing = Provide width of footing =
2.78 0.79 0.85
m m m
Provide Footing size of
3.50 m
x 0.85 m
2
2
= 2.98
2
m
As in this case, the property line is present on both end of column, hence there is no possibility of projection, so the pressure will not be uniform if the c.g. of footing and the c.g. of load does not coincide. In such case fooring will become eccentric and hence the pressure will be non-uni C.G of load system from end face of col A= = ( 386 x 0.115 ) +
( 372 x
3.385 )
( 386 + = C.G. of footing =
1.72
m
1.75
m
372 )
Eccentricity of load w.r.t c.g. of footing =
0.03
Moment due to eccentricity = Total Moment Pressure calculation :
x 0.03 )
( 505
Intensity of pressure due to Axial load = =
( 257
m
+ 248 ) /
2.98 M/Z= x 3.50
= 170
kN/m
2
kN/m
2
x 3.50 ) / 6
=
=8
( 170
Pmin =
kN m kN m
P /A =
Intensity of pressure due to Moment = = 13 / ( 0.85
Pmax =
= 15 = 13
+8)
( 170
-8)
= 177 kN/m
2
= 162 kN/m
2
OK OK
1 0.115
0.115
163 177
173
162
177
Load per metre run of slab =
Avg pressure x 1 m ( 175 x 1.00 ) Load per metre run of slab due to ultimate pressure = ( 175 x 1.50 ) Cantilever projection of slab @ face of beam = Maximum ultimate moment = d required =
(5 ( 1000
Try overall depth Effective depth d = Ast=
80
( 263 x 10^6 ) x 2.76 )
= 230 mm 184 mm mm
2
x 0.20 2 =
= 175
kN/m
= 263
kN/m
= 0.20
m
x 0.20 ) 44
=5 mm
Width = 1000 End depth= 175 Effective end depth d =
Required is
Y8
@
629
mm
Provide
Y8
@
200
mm
Distribution steel =
( 0.12 %
x 1000
x 203 )
Provide
Y8
@
225
Shear @ d= Shear =
0.016 m 4 kN 2 N/mm 0.03
ζ v=
2
0.355
N/mm
Section for depth is
OK
ζ c=
= 251 =
243
mm
= 223
Enter depth at d location (From SP16)
Design of Longitudinal beam : -
385.5
372
1.61 0.115
3.27
0.115
207 217 225 226 Load Diagram
25.96
1.61 0.692
348.18
23.82 179.32 359.54
S.F.Diagram
207
-289.0036
1.49
1.37 B.M.Diagram
As in the central portion of beam, the moment is hogging, i.e. the tension is on th top portion of beam, hence the beam at the central portion will be designed as th isolated T- beam. Reinforcement at the central portion:
bf =
=
0.850
=
850
mm
bw =
=
450
mm
Let provide depth of beam Effective depth of beam
= =
750 692
mm mm
1206
mm
Ast=
1209
Provide
mm
2
6 Nos. Y 16 mm
Shear at d from face of column Shear = 179
=
ζ v=
0.58
ζ c=
0.330
N/mm
2
Section for depth is
0.20 %
(From SP16) PROVIDE STIRRUPS
Shear to be resisted by stirrups = Try stirrups of 2-legged Y8
2
0.803 m
kN 2 N/mm
Provide
m
76.56
kN
Y 8 mm @ 328 mm @
250
mm
= 201
SUMMARY: Provide Footing size of
3.50 m
x 0.85 m
SLAB RENFORCEMENT: Provide
Y8
@
200
mm
Provide
Y8
@
300
mm
BEAM REINFORCEMENT: TOP: -
9 Nos. Y 12 mm
oment MX 2 1
orm.
kN m / metre
mm mm 129
mm
2
mm
0.16 %
2
mm
2
mm
0.17 %
Load per metre
2
mm
3.5
Y dir Col A
Col B 0.45
ETABS NODE NO. Conc grade = Steel grade = A) Proportioning of base size: Y - dir Size of column A = 300 mm Size of column B = 300 mm Ultimate load carrrid by column A Ultimate load carrrid by column B
X dir
Col A=3
Col B=4
M20 Fe415 X - dir x 230 mm x 230 mm = =
417 415.5
Additional MY 2 2
kN kN
SBC of the soil =
200
kN/m
Working load carrrid by column A = Working load carrrid by column B = Self wt of footing (10% of column load)=
278 277 56
kN kN kN
Total working load =
611
kN
Length of footing =
3.50
m
Requried area of footing = Width of footing = Provide width of footing =
3.05 0.87 0.85
m m m
Provide Footing size of
3.50 m
x 0.85 m
2
2
= 2.98
2
m
As in this case, the property line is present on both end of column, hence there is no possibility of projection, so the pressure will not be uniform if the c.g. of footing and the c.g. of load does not coincide. In such case fooring will become eccentric and hence the pressure will be non-uni C.G of load system from end face of col A= = ( 417 x 0.115 ) +
( 416 x
3.385 )
( 417 + = C.G. of footing =
1.75
m
1.75
m
416 )
Eccentricity of load w.r.t c.g. of footing =
0.00
Moment due to eccentricity = Total Moment Pressure calculation :
x 0.00 )
( 555
Intensity of pressure due to Axial load = =
( 278
m
+ 277 ) /
2.98 M/Z= x 3.50
= 187
kN/m
2
kN/m
2
x 3.50 ) / 6
=
=3
( 187
Pmin =
kN m kN m
P /A =
Intensity of pressure due to Moment = = 4/ ( 0.85
Pmax =
=2 =4
+3)
( 187
-3)
= 189 kN/m
2
= 184 kN/m
2
OK OK
1 0.115
0.115
184 189
188
184
189
Load per metre run of slab =
Avg pressure x 1 m ( 188 x 1.00 ) Load per metre run of slab due to ultimate pressure = ( 188 x 1.50 ) Cantilever projection of slab @ face of beam = Maximum ultimate moment = d required =
(6 ( 1000
Try overall depth Effective depth d = Ast=
86
( 283 x 10^6 ) x 2.76 )
= 230 mm 184 mm mm
2
x 0.20 2 =
= 188
kN/m
= 283
kN/m
= 0.20
m
x 0.20 ) 45
=6 mm
Width = 1000 End depth= 175 Effective end depth d =
Required is
Y8
@
585
mm
Provide
Y8
@
200
mm
Distribution steel =
( 0.12 %
x 1000
x 203 )
Provide
Y8
@
225
Shear @ d= Shear =
0.016 m 5 kN 2 N/mm 0.04
ζ v=
2
0.355
N/mm
Section for depth is
OK
ζ c=
= 251 =
243
mm
= 223
Enter depth at d location (From SP16)
Design of Longitudinal beam : -
417
415.5
1.63 0.115
3.27
0.115
235 238 241 241 Load Diagram
27.72
1.63 0.692
388.51
26.99 196.55 389.28
S.F.Diagram
235
-314.2662
1.59
1.55 B.M.Diagram
As in the central portion of beam, the moment is hogging, i.e. the tension is on th top portion of beam, hence the beam at the central portion will be designed as th isolated T- beam. Reinforcement at the central portion:
bf =
=
0.850
=
850
mm
bw =
=
450
mm
Let provide depth of beam Effective depth of beam
= =
750 692
mm mm
1407
mm
Ast=
1320
Provide
mm
2
7 Nos. Y 16 mm
Shear at d from face of column Shear = 197
=
ζ v=
0.63
ζ c=
0.330
N/mm
2
Section for depth is
0.24 %
(From SP16) PROVIDE STIRRUPS
Shear to be resisted by stirrups = Try stirrups of 2-legged Y8
2
0.823 m
kN 2 N/mm
Provide
m
93.79
kN
Y 8 mm @ 268 mm @
250
mm
= 201
SUMMARY: Provide Footing size of
3.50 m
x 0.85 m
SLAB RENFORCEMENT: Provide
Y8
@
200
mm
Provide
Y8
@
300
mm
BEAM REINFORCEMENT: TOP: -
9 Nos. Y 12 mm
oment MX 2 1
orm.
kN m / metre
mm mm 129
mm
2
mm
0.16 %
2
mm
2
mm
0.17 %
Load per metre
2
mm
3.5
Y dir Col A
Col B 0.45
ETABS NODE NO. Conc grade = Steel grade = A) Proportioning of base size: Y - dir Size of column A = 300 mm Size of column B = 300 mm Ultimate load carrrid by column A Ultimate load carrrid by column B
X dir
Col A=3
Col B=4
M20 Fe415 X - dir x 230 mm x 230 mm = =
Additional MY 1 1
441 441
kN kN
SBC of the soil =
200
kN/m
Working load carrrid by column A = Working load carrrid by column B = Self wt of footing (10% of column load)=
294 294 59
kN kN kN
Total working load =
647
kN
Length of footing =
3.50
m
Requried area of footing = Width of footing = Provide width of footing =
3.23 0.92 0.95
m m m
Provide Footing size of
3.50 m
x 0.95 m
2
2
= 3.33
2
m
As in this case, the property line is present on both end of column, hence there is no possibility of projection, so the pressure will not be uniform if the c.g. of footing and the c.g. of load does not coincide. In such case fooring will become eccentric and hence the pressure will be non-uni C.G of load system from end face of col A= = ( 441 x 0.115 ) +
( 441 x
3.385 )
( 441 + = C.G. of footing =
1.75
m
1.75
m
441 )
Eccentricity of load w.r.t c.g. of footing =
0.00
Moment due to eccentricity = Total Moment Pressure calculation :
x 0.00 )
( 588
Intensity of pressure due to Axial load = =
( 294
m
+ 294 ) /
3.33 M/Z= x 3.50
= 177
kN/m
2
kN/m
2
x 3.50 ) / 6
=
=1
( 177
Pmin =
kN m kN m
P /A =
Intensity of pressure due to Moment = = 2/ ( 0.95
Pmax =
=0 =2
+1)
( 177
-1)
= 178 kN/m
2
= 176 kN/m
2
OK OK
1 0.115
0.115
176 178
177
176
178
Load per metre run of slab =
Avg pressure x 1 m ( 177 x 1.00 ) Load per metre run of slab due to ultimate pressure = ( 177 x 1.50 ) Cantilever projection of slab @ face of beam = Maximum ultimate moment = d required =
(8 ( 1000
Try overall depth Effective depth d = Ast=
127
( 266 x 10^6 ) x 2.76 )
= 230 mm 184 mm mm
2
x 0.25 2 =
= 177
kN/m
= 266
kN/m
= 0.25
m
x 0.25 ) 55
=8 mm
Width = 1000 End depth= 175 Effective end depth d =
Required is
Y8
@
395
mm
Provide
Y8
@
200
mm
Distribution steel =
( 0.12 %
x 1000
x 203 )
Provide
Y8
@
225
Shear @ d= Shear =
0.066 m 18 kN 2 N/mm 0.14
ζ v=
2
0.355
N/mm
Section for depth is
OK
ζ c=
= 251 =
243
mm
= 223
Enter depth at d location (From SP16)
Design of Longitudinal beam : -
441
441
1.64 0.115
3.27
0.115
251 252 253 253 Load Diagram
29.12
1.64 0.692
412.16
28.84 209.21 411.88
S.F.Diagram
251
-333.9015
1.67
1.66 B.M.Diagram
As in the central portion of beam, the moment is hogging, i.e. the tension is on th top portion of beam, hence the beam at the central portion will be designed as th isolated T- beam. Reinforcement at the central portion:
bf =
=
0.889
=
889
mm
bw =
=
450
mm
Let provide depth of beam Effective depth of beam
= =
750 692
mm mm
1407
mm
Ast=
1404
Provide
mm
2
7 Nos. Y 16 mm
Shear at d from face of column Shear = 209
=
ζ v=
0.67
ζ c=
0.330
N/mm
2
Section for depth is
0.23 %
(From SP16) PROVIDE STIRRUPS
Shear to be resisted by stirrups = Try stirrups of 2-legged Y8
2
0.833 m
kN 2 N/mm
Provide
m
106.44
kN
Y 8 mm @ 236 mm @
225
mm
= 223
SUMMARY: Provide Footing size of
3.50 m
x 0.95 m
SLAB RENFORCEMENT: Provide
Y8
@
200
mm
Provide
Y8
@
300
mm
BEAM REINFORCEMENT: TOP: -
9 Nos. Y 12 mm
oment MX 1 1
orm.
kN m / metre
mm mm 129
mm
2
mm
0.16 %
2
mm
2
mm
0.17 %
Load per metre
2
mm
3.5
Y dir Col A
Col B 0.45
ETABS NODE NO. Conc grade = Steel grade = A) Proportioning of base size: Y - dir Size of column A = 300 mm Size of column B = 300 mm Ultimate load carrrid by column A Ultimate load carrrid by column B
X dir
Col A=3
Col B=4
M20 Fe415 X - dir x 230 mm x 230 mm = =
Additional MY 2 1
414 408
kN kN
SBC of the soil =
200
kN/m
Working load carrrid by column A = Working load carrrid by column B = Self wt of footing (10% of column load)=
276 272 55
kN kN kN
Total working load =
603
kN
Length of footing =
3.50
m
Requried area of footing = Width of footing = Provide width of footing =
3.01 0.86 0.95
m m m
Provide Footing size of
3.50 m
x 0.95 m
2
2
= 3.33
2
m
As in this case, the property line is present on both end of column, hence there is no possibility of projection, so the pressure will not be uniform if the c.g. of footing and the c.g. of load does not coincide. In such case fooring will become eccentric and hence the pressure will be non-uni C.G of load system from end face of col A= = ( 414 x 0.115 ) +
( 408 x
3.385 )
( 414 + = C.G. of footing =
1.74
m
1.75
m
408 )
Eccentricity of load w.r.t c.g. of footing =
0.01
Moment due to eccentricity = Total Moment Pressure calculation :
x 0.01 )
( 548
Intensity of pressure due to Axial load = =
( 276
m
+ 272 ) /
3.33 M/Z= x 3.50
= 165
kN/m
2
kN/m
2
x 3.50 ) / 6
=
=4
( 165
Pmin =
kN m kN m
P /A =
Intensity of pressure due to Moment = = 7/ ( 0.95
Pmax =
=7 =7
+4)
( 165
-4)
= 168 kN/m
2
= 161 kN/m
2
OK OK
1 0.115
0.115
161 168
166
161
168
Load per metre run of slab =
Avg pressure x 1 m ( 167 x 1.00 ) Load per metre run of slab due to ultimate pressure = ( 167 x 1.50 ) Cantilever projection of slab @ face of beam = Maximum ultimate moment = d required =
(8 ( 1000
Try overall depth Effective depth d = Ast=
120
( 251 x 10^6 ) x 2.76 )
= 230 mm 184 mm mm
2
x 0.25 2 =
= 167
kN/m
= 251
kN/m
= 0.25
m
x 0.25 ) 53
=8 mm
Width = 1000 End depth= 175 Effective end depth d =
Required is
Y8
@
419
mm
Provide
Y8
@
200
mm
Distribution steel =
( 0.12 %
x 1000
x 203 )
Provide
Y8
@
225
Shear @ d= Shear =
0.066 m 17 kN 2 N/mm 0.13
ζ v=
2
0.355
N/mm
Section for depth is
OK
ζ c=
= 251 =
243
mm
= 223
Enter depth at d location (From SP16)
Design of Longitudinal beam : -
414
408
1.62 0.115
3.27
0.115
230 235 240 240 Load Diagram
27.58
1.62 0.692
381.57
26.43 193.92 386.42
S.F.Diagram
230
-311.9913
1.59
1.52 B.M.Diagram
As in the central portion of beam, the moment is hogging, i.e. the tension is on th top portion of beam, hence the beam at the central portion will be designed as th isolated T- beam. Reinforcement at the central portion:
bf =
=
0.889
=
889
mm
bw =
=
450
mm
Let provide depth of beam Effective depth of beam
= =
750 692
mm mm
1407
mm
Ast=
1307
Provide
mm
2
7 Nos. Y 16 mm
Shear at d from face of column Shear = 194
=
ζ v=
0.62
ζ c=
0.330
N/mm
2
Section for depth is
0.23 %
(From SP16) PROVIDE STIRRUPS
Shear to be resisted by stirrups = Try stirrups of 2-legged Y8
2
0.813 m
kN 2 N/mm
Provide
m
91.16
kN
Y 8 mm @ 275 mm @
225
mm
= 223
SUMMARY: Provide Footing size of
3.50 m
x 0.95 m
SLAB RENFORCEMENT: Provide
Y8
@
200
mm
Provide
Y8
@
300
mm
BEAM REINFORCEMENT: TOP: -
9 Nos. Y 12 mm
oment MX 2 2
orm.
kN m / metre
mm mm 129
mm
2
mm
0.16 %
2
mm
2
mm
0.17 %
Load per metre
2
mm
3.5
Y dir Col A
Col B 0.45
ETABS NODE NO. Conc grade = Steel grade = A) Proportioning of base size: Y - dir Size of column A = 300 mm Size of column B = 300 mm Ultimate load carrrid by column A Ultimate load carrrid by column B
X dir
Col A=3
Col B=4
M20 Fe415 X - dir x 230 mm x 230 mm = =
316.5 237
Additional MY 2 3
kN kN
SBC of the soil =
200
kN/m
Working load carrrid by column A = Working load carrrid by column B = Self wt of footing (10% of column load)=
211 158 37
kN kN kN
Total working load =
406
kN
Length of footing =
3.50
m
Requried area of footing = Width of footing = Provide width of footing =
2.03 0.58 0.75
m m m
Provide Footing size of
3.50 m
x 0.75 m
2
2
= 2.63
2
m
As in this case, the property line is present on both end of column, hence there is no possibility of projection, so the pressure will not be uniform if the c.g. of footing and the c.g. of load does not coincide. In such case fooring will become eccentric and hence the pressure will be non-uni C.G of load system from end face of col A= = ( 317 x 0.115 ) +
( 237 x
3.385 )
( 317 + = C.G. of footing =
1.52
m
1.75
m
237 )
Eccentricity of load w.r.t c.g. of footing =
0.23
Moment due to eccentricity = Total Moment Pressure calculation :
x 0.23 )
( 369
Intensity of pressure due to Axial load = =
( 211
m
+ 158 ) /
2.63 M/Z= x 3.50
= 141
kN/m
2
kN/m
2
x 3.50 ) / 6
=
= 40
( 141
Pmin =
kN m kN m
P /A =
Intensity of pressure due to Moment = = 62 / ( 0.75
Pmax =
= 87 = 62
+ 40 )
( 141
- 40 )
= 181 kN/m
2
= 100 kN/m
2
OK OK
1 0.115
0.115
103 178
158
100
181
Load per metre run of slab =
Avg pressure x 1 m ( 169 x 1.00 ) Load per metre run of slab due to ultimate pressure = ( 169 x 1.50 ) Cantilever projection of slab @ face of beam = Maximum ultimate moment = d required =
(3 ( 1000
Try overall depth Effective depth d = Ast=
43
( 254 x 10^6 ) x 2.76 )
= 230 mm 184 mm mm
2
x 0.15 2 =
= 169
kN/m
= 254
kN/m
= 0.15
m
x 0.15 ) 32
=3 mm
Width = 1000 End depth= 175 Effective end depth d =
Required is
Y8
@
1161
mm
Provide
Y8
@
200
mm
Distribution steel =
( 0.12 %
x 1000
x 203 )
Provide
Y8
@
225
Shear @ d= Shear = ζ v=
-0.034 m -9 kN 2 N/mm -0.07
ζ c=
0.355
N/mm
Section for depth is
OK
2
= 251 =
243
mm
= 223
Enter depth at d location (From SP16)
Design of Longitudinal beam : -
316.5
237
1.42 0.115
3.27
0.115
116 164 201 204 Load Diagram
23.23
1.42 0.547
223.86
13.14 156.55 293.27
S.F.Diagram
113
-225.287
1.34
0.75 B.M.Diagram
As in the central portion of beam, the moment is hogging, i.e. the tension is on th top portion of beam, hence the beam at the central portion will be designed as th isolated T- beam. Reinforcement at the central portion:
bf =
=
0.750
=
750
mm
bw =
=
450
mm
Let provide depth of beam Effective depth of beam
= =
605 547
mm mm
1206
mm
Ast=
1216
Provide
mm
2
6 Nos. Y 16 mm
Shear at d from face of column Shear = 157
=
ζ v=
0.64
ζ c=
0.330
N/mm
2
Section for depth is
0.29 %
(From SP16) PROVIDE STIRRUPS
Shear to be resisted by stirrups = Try stirrups of 2-legged Y8
2
0.758 m
kN 2 N/mm
Provide
m
75.32
kN
Y 8 mm @ 263 mm @
250
mm
= 201
SUMMARY: Prov Proviide Foot Footiing size size of
3.50 3.50 m
x 0.75 0.75 m
SLAB RENFORCEMENT: Provide
Y8
@
200
mm
Provide
Y8
@
300
mm
BEAM REINFORCEMENT: TOP: -
0.459375
9 Nos. Y 12 mm
oment MX 1 2
orm.
kN m / metre
mm mm 1 29
mm
2
mm
0.16 %
2
mm
2
mm
0.17 %
Load per metre
2
mm
DESIGN
OF
ISOLATED
SLOPED
Project User
Comments:
ARIF
Date
Footing Identifier =
18-Aug-14
Time
03:13
ETABS NO. 10 DWG NO. C16
Safe Bearing Capacity of Soil = Depth of Founding Level below Ground
(Df) =
Weight Density of Soil & Backfill togethe Load Factor for Limit State Method
= (LF) =
20
T/m
2
m
2
m
3
1.8
T/m
1.5
Factor
(Fck) =
20
N/mm
2
Steel Grade
(fy) =
415
N/mm
2
Column Dimensions: E_W Column Dimensions: N_S Offset from face of column Crack width
(L1) = (B1) = = =
0.3 0.23 75
m Width m Width mm m
Concrete Grade
0.3
0 8 . 0 = B
LOAD CASES
Case
Load (T) P
I II III IV V VI VII VIII
Moments (T.M) MZ( @Z ) MX( @X ) M_E-W M_N-S
14 14 13
0 0 0
Soil over Stress Actual / Factor Allowable
0 0 0
1 1.25 1.25
AREA 0.728 Section Modulus
m
Z_NS
0.1
m
For SBC Punching Stress (E Stress (NS Depth (be Reinf. (Be
Z_EW
0.1
m
Bearing pr
Trial Footing Size L/B Length - L Width - B
0.91 0.80
M E_W M N_S
if (P > Pp) then 'Revise Footing Size' Depth of Footing at Centre Eff. Cover to Bott. Reinf. d'
0.97 0.92 0.83
550 75
0.88
mm mm
Depth of Footing at Ed de=D-d'= 475
Distances from CL of to a) Column Face, b) De from & its Distance from Edge, Perimeter & Punching Area for Shear ECT,.
L1 (E-W) L (E-W)
0.3 0.91
Xf Lf
For Moment E-W N-S 0.15 0.115 0.305 0.285
For punching shear perimeter area, Ap
B1 (N-S) B (N-S) Lpu=(L1+De) Bpu=(B1+De)
0.23 0.8 0.775 0.705
Xd Ld
0.625 0
0.59 0 2.96
0.55
Area of footing @ critical section for one way shear E-W
(((0.3+2*475/1000)+0.91)/2*(-6.52173913043464-230)/1000)+((230-75)
N-S
(((0.23+2*475/1000)+0.8)/2*(-59.5238095238094-230)/1000)+((230-75) E-W N-S a= J=
0.41 0.09
0.39 0.08
C=
0.3875
0.3525
M_E-W
M_N-S
5.359
5.735
Shear due to Moment =
44.02147 Overburden Pressure Df - D = 1.45 IF (foundation depth-D) is <= 0, then this component is 0 *Volume of concrete x 2.5 + (Total volume of excavation i.e. L x B x D - volume of concret OB Load(Ptot) 2.81 Eb = {M_E-W} / (P + Pob) OB Press(Pob) 3.866 El = {M_N-S} / (P + Pob) R=
R = 0.133 or 0.138 or 0.15 * fck
X
0.138
p-max=Ptot*(1+6*Eb/B+6*El/L) p-min=Ptot*(1-6*Eb/B-6*El/L)
20
=
P-edge=Ptot*(1+6*Eb/ P-face=Ptot*(1+12*Eb/ P-d
=Ptot*(1+12*Eb/
M-face = Lf^2*{P-edge V-De = Ld*{(P-edge+P Punching shear stress =
((A-Ap)*(Ptot-Pob)) /
(P.Perimeter*De)+((M_E-W*a*c_E-W) / (0.85J_E-W))+((M_N-S*a*c_N-S) / (0.85*J_N-S)) e s a C
Ptot (P+Pob)/A
I I III IV V VI VII VIII
22.77 23.19 22.35
M-(E-W)/ M/Z
M-(N-S)/ M/Z
p-max t/m2
p-min t/m2
P-edge t/m2
0.27 3.69 0.27
0.14 0.08 2.10
23.17 26.97 24.72
22.36 19.41 19.98
23.04 26.88 22.62
#REF!
#REF!
26.97
19.41
Limit state De = SqRt((Mu / K Fck) * b)
De (cm)=
Permissible Punching Shear Stress bc = L / B Ks = (0.5 + bc) Ks = tc = 0.25 * Sqrt(Fck) t c =
= Ks * tc 1.00 111.80
= t/m2
P-face t/m2 22.86 24.41 22.44
R = Mu / b * de
- N/mm
Pt (Req) = 0.5*Fck/Fy{[1-(1-4.6*Mu/B*de^2)/Fck]^0.5}*b*de Pt (Req) Min = 0.12% Ast - Reinforcement to be required = Pt (req) * A * d Ast - Reinforcement Provided Pt (Provided) @ Efffective depth d from face of column =0.85*sqrt(0.8*Fck)*(sqrt(1+5* b)-1)/6*b Allowable Shear Stress (t/m2)
b
=0.8 * Fck / 6.89 * pt Actual Shear stress (t/m2)
1.00
for E_W
1.00
Bearing pressure = Pu/bD in t/m2
0.30 1.80 728000 69000
Permissible bearing pressure = 0.45 fck (sqrt(A1/A2))
A1 = (min of (Lf x Bf or ( b + 4Df )x ( D + 4 Df ) A2 = b x D where sqrt(A1/A2) should not be greater than 2
Footing Size Pedestal Dimensions: E_W = Pedestal Dimensions: N_S = Length - L: E_W = Width - B: N_S = Depth = Column face Footing Edge Ast =
for N_S
0.30 0.23 0.91 0.80 550 230
m m m m mm
Long Side (E_W)
Bottom Reinf.
Quantities Footing 1 2 3 4 5
Excavation PCC RCC Formwork Reinforcement Total reinforcement per cft =
Pedesta 3.10 0.13 0.28 0.8 8
m3 m3 m3 m2 Kgs
1 Concrete 2 Formwork 8
0.28
35.314 0.819724
FOOTING
BY
LIMIT
STATE
METHOD
EXECUTION
0.305
Lf = Ld
N
De
BP/2
0
+ -
Z-Axis
-
L1 =0.30 1 7 . 0
= u p B
2 . 0 = 1 B
W
X - Axis
n o i s I n e e T s a o C NP-face
P-f
P-face
P-f
9 2 . 0 =
f L
Lpu = 0.775
+ +
+ -
d P
d 0 . L 0 0
Pedge
Xf = 0.15 Xd =0.625 L = 0.91 m
Lf
S
Ld e g d e P
e g d e P
hear ) ) ding) ding)
(P-max - Pob) e 19.31 - c 5.55 a d P23.10 f P 20.85 (3.87) (3.87) (3.87) e c a f d (3.87) P P (3.87) 5.55 Fdn Size OK Depth OK Depth OK
OK
Case I No Tension
Case II Tension Allowed 0.97
Depth OK Depth OK
essure e mm
allowable 20.00 25.00 25.00 0.00 0.00 0.00 0.00 0.00
(actual / allowable) 0.97 0.92 0.83
L1 (E-W)=
0.30 m
B1 (N-S)=
0.23 m
d eff= 475
d eff/2= 238
OK 230
mm
Dcentre= 550 D (for one way shear) Dmin= 230
-D_os=7 For E-W -D_os=60 For N-S
D (for Punching shear) D_ps=380 For E-W D_ps=368 For N-S
L (E-W)=
0.91 m
&
B (N-S) =
0.80 m
Column offset+2xEffecti
=
-0.11 m
2
=
-0.16 m
2
Footing base dimension
(Area of trapaezoid) (Area of trapaezoid) E-W
N-S
1-(1/(1+2/3*SQRT(Bpu/Lpu))) a = 1-(1/(1+2/3*SQRT(Lpu/Bpu))) [2*(De*Lpu^3)/12]+[2*(Lpu*De^3)/ J= [2*(De*Lpu^3)/12]+[2*(Lpu*De^3)/12]+[De*(Bp u*Lpu^2/2))] [(De*Lpu*Bpu^2)/2)] C= Lpu/2
Bpu/2
M=
a/ (0.85*J_E-W)
a/ (0.85*J_N-S)
e) x 1.8
2.76 W IT H N O T EN SI O N P-edge=Ptot*(1+6*El/L) P-face=Ptot*(1+12*El/L^2*Xf)
) B^2*Xf) ^2*Xd)
P-d
=Ptot*(1+12*El/L^2*Xd)
3+P-face/6-Pob/2}L TM d)*0.5-Pob}L T/m
FOR - M_E-W only P-d M-face t/m2 tm 23.14 28.26 22.72
0.71 0.83 0.70
V@De
t
Punch.sh strs t/m2
(2.61) (3.22) (2.56)
47.83 47.92 47.75
FOR - M_N-S only P-face P-d M-face t/m2 t/m2 tm
P-edge t/m2 22.91 23.27 24.45
22.81 23.21 22.95
0.8
-2.56
47.92
1.2
-3.84
71.87
7.49
22.97 23.31 25.45
0.70 0.72 0.74
0.74 1.11 6.66
Depth OK 111.80 Depth OK
0.07
0.05
0.019
0.015
0.12 456
0.12 519
550 -0.48
628 -0.39 82.14
.
58.81 Depth OK
Depth OK
OK
Summary
Kgs 4
Nos. 7
l
0 m3 2 m2
Dia 10
Spacing 150
Short Side (N_S)
Kgs 4
Nos. 8
Dia 10
ce
ce
d e w o l l A n I I o i e s s n a e C T
d P
Pedge
e depth D_os D min
12]+
V@De
t (3.30) (3.36) (3.65)
-3.30 -4.95
82.14 40.41
Spacing 150
Story
Point
Load
FX
FY
FZ
MX
MY
MZ
BASE
69 COMB1
1.26
-0.1
202.33
0.196
0.429
0.012
BASE
69 COMB2
-0.82
-0.04
165.17
0.101
-4.63
-0.03
BASE
69 COMB3
2.84
-0.12
158.55
0.213
5.317
0.049
BASE
69 COMB4
0.66
-0.96
165.68
2.329
0.389
0.046
BASE
69 COMB5
1.36
0.79
158.04
-2.015
0.298
-0.027
BASE
69 COMB6
-1.04
-0.03
197.6
0.11
-5.832
-0.034
BASE
69 COMB7
3.52
-0.14
189.33
0.25
6.602
0.065
BASE
69 COMB8
0.8
-1.18
198.24
2.895
0.442
0.061
BASE
69 COMB9
1.68
1.01
188.69
-2.535
0.327
-0.03
BASE BASE BASE BASE
69 69 69 69
-1.54 3.03 0.31 1.18
0 -0.11 -1.14 1.04
120.21 111.95 120.86 111.3
0.038 0.178 2.823 -2.607
-5.986 6.448 0.288 0.174
-0.04 0.059 0.055 -0.036
COMB10 COMB11 COMB12 COMB13