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Ring beam design, RIL Rewari - draft

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Design of ring beam foundation for 8mØ, 8m height tanks for Reliance Industries Limited
Modernisation of existing terminal at Rewari to facilitate 20 percent ethanol blending
Reference documents
i) Soil report of Rewari site done by Kunika
Geotechnical Services in September 2017
ii) Survey maps of Rewari site
1. Design parameters
Internal angle of friction assuming filling with murrum ɸ degrees =
Shell radius of tank m
Shell diameter of tank m
Tank height m
Soil density kN/cum (Kunika Geotechnical Service's report dated September 2017)
Bearing capacity of soil kN/sq.m (Kunika Geotechnical Service's report dated September 2017)
Coefficient of friction between crushed rock and concrete
Minimum depth of foundation required m
2. Initial proportioning
Assumed depth of foundation m (FGL to BOC of raft)
Assumed thickness of wall m
Assumed width of raft m
Assumed thickness of raft m
Assumed projection of wall above FGL m
Assumed height of wall (TOC of wall to TOC of raft) m
Total wall height (stem+ raft thickness) m
Outer radius of raft m
Inner radius of raft m
Outer radius of ring wall m
Inner radius of ring wall m
Thickness of sand bitumen mix m
3. Analysis of gravity loads, horizontal loads (except seismic, wind load)
Self weight of ring wall raft kN
Moment exerted by self weight of ring raft about outer edge of raft kN‐m
Self weight of ring wall kN
Moment exerted by self weight of ring wall about outer edge of ring raft kN‐m
Total structural steel weight of bottom plates kN
Total structural steel weight of shell plates, appurtenances and staircase kN
Total structural steel weight of roof plates and supporting structure kN
Total structural steel weight of empty tank kN
Total structural steel weight acting on ring wall footing kN (excluding weight of bottom plates inside ring wall footing)
Moment exerted by total structural steel weight about outer edge of ring raft kN‐m
Total weight of compacted sand acting on inner projection of raft kN
Moment exerted by compacted sand weight about outer edge of ring raft kN‐m
Total weight of ethanol acting on inner projection of raft in tank full condition kN
Moment exerted by ethanol resting on inner projection of raft about outer edge of ring raft kN‐m (in tank full condition)
Weight of backfilled earth kN on outer projection of ring raft kN
Moment exerted by backfill about outer edge of ring raft kN‐m
30.000
4.000
8.000
8.000
16.700
116.739
0.350
0.782
1.850
0.550
2.000
0.650
0.800
2.000
2.650
5.000
3.000
4.275
3.725
0.050
816.400
4082.000
690.800
3454.000
63.765
73.575
68.670
206.010
188.606
943.030
520.522
2602.609
1022.672
5113.360
423.135
2115.677
Weight of bitumen on ring wall kN
Moment exerted by bitumen carpet about outer edge of ring raft kN‐m
Active earth pressure kN exerted on wall towards outside direction by compacted sand kN
Moment exerted by this active earth pressure about TOC of ring raft kN‐m
Passive earth pressure kN exerted on wall towards inside direction by backfilled earth kN per meter circumferential length
Moment exerted by this passive earth pressure about TOC of ring raft kNm
Surcharge ethanol pressure (tank full) at wall TOC level kN/sq.m
Total udl force on wall due to ethanol surcharge outwards kN/m
Moment exerted by ethanol surcharge udl about raft TOC kN‐m
Surcharge pressure due to structural steel weight kN/sq.m at wall TOC
Total udl force on wall due to structural steel surcharge outwards kN/m
Moment exerted by structural steel udl about raft TOC kN‐m
Surcharge pressure due to bitumen weight kN/sq.m at wall TOC
Total udl force on the wall due to bitumen surcharge outwards kN/m
Moment exerted by bitumen udl about raft TOC kN‐m
4. Impulsive seismic analysis when tank is full and empty (IS 1893 part 1: 2016, IS 1893 part 2: 2014, API 650: 2020)
Zone factor for Rewari (IS 1893 part 1 2016, table 3, page 10). Rewari is in Zone IV.
Importance factor I (IS 1893 part 1 2016, table 8/ clause 7.2.3, page 19)
Mass density of ethanol N/cu.m
H/D (H is the shell height, D is shell diameter)
Coefficient Ci for H/D= 1.000 (API 650 2020, figure E.1, page E‐13)
Thickness of shell plates tu m
Elastic modulus of steel E N/sq.m
Impulsive natural period Ti sec (API 650 2020, clause E.4.5.1‐1a, page E‐12)
Sa/g in impulsive mode for time period= 0.007 sec (IS 1893 part 1 2016, clause 6.4.2, page 9)
Impulsive response reduction factor Rwi (API 650 2020, table E.4, page E‐15)
Design horizontal seismic coefficient in impulsive mode Ahi (IS 1893 part 2 2014, clause 4.5.2,page 7)
Effective impulsive weight of ethanol in tank full condition kN (API 650 2020, E.6.1.1‐2, page E‐16)
Total effective impulsive weight of tank in full condition kN
Total effective impulsive weight of tank in empty condition kN
Impulsive base shear in tank full condition Kn (API 650 2020, E.6.1‐2, page E‐16)
Impulsive base shear in tank empty condition Kn (API 650 2020, E.6.1‐2, page E‐16)
Height above base plates at which the center of action of slab overturning moment lies in impulsive mode m (API 650 2020, clause E.6.1.2.2‐2,
page E‐18)
Moment exerted at raft BOC by seismic force in impulsive mode in tank full condition kN‐m
Moment exerted at raft BOC by seismic force in impulsive mode in tank empty condition kN‐m
Moment exerted at raft BOC by total shell weight kN‐m
Moment exerted at raft BOC by total roof weight kN‐m
5. Convective seismic analysis when tank is full and empty (IS 1893 part 1: 2016, IS 1893 part 2: 2014, API 650: 2020)
D/H (D is shell diameter, H is shell height)
Sloshing factor Ks (API 650 2020, figure EC.6, page EC‐7)
Convective period Tc sec (API 650 2020, clause E.4.5.2‐a, page E‐13)
Sa/g in convective mode for time period = 2.952 sec (IS 1893 part 1 2016, clause 6.4.2, page 9)
Convective response reduction factor Rwc (API 650 2020, table E.4, page E‐15)
Design horizontal seismic coefficient in convective mode Ahc (IS 1893 part 2 2014, clause 4.5.2,page 7)
Effective convective weight of ethanol in tank full condition kN (API 650 2020, E.6.1.1‐3, page E17)
Total effective convective weight of tank in full condition Kn
Total effective convective weight of tank in empty condition Kn
15.198
75.988
11.250
7.500
39.168
15.667
66.800
44.205
88.411
14.911
9.867
19.735
1.100
0.728
1.456
0.240
1.250
8350.000
1.000
6.200
0.008
210000000000.000
0.007
2.500
4.000
0.094
2624.417
5296.482
2672.065
496.545
250.506
4.480
3565.194
1798.634
492.953
734.769
1.000
0.580
2.953
0.565
2.000
0.042
770.886
3442.951
2672.065
Convective base shear in tank full condition Kn (API 650 2020, E.6.1‐3, page E‐16)
Convective base shear in tank empty condition Kn (API 650 2020, E.6.1‐3, page E‐16)
Height above base plates at which the center of action of slab overturning moment lies in convective mode m (API 650 2020, clause E.6.1.2.2‐3,
page E‐18)
Moment exerted at raft BOC by seismic force in convective mode in tank full condition kN‐m
Moment exerted at raft BOC by seismic force in convective mode in tank empty condition kN‐m
6. Vertical seismic analysis when tank is full and empty (IS 1893 part 1: 2016, IS 1893 part 2: 2014, API 650: 2020)
Design vertical acceleration coefficient in impulsive mode (IS 1893 part 2 2014, clause 4.10.1,page 10)
Vertical seismic force in impulsive mode in tank full condition, kN
Vertical seismic force in impulsive mode in tank empty condition, kN
Moment exerted by vertical seismic force in impulsive mode about outer edge of raft kN‐m in tank full condition
Moment exerted by vertical seismic force in impulsive mode about outer edge of raft kN‐m in tank empty condition
Design vertical acceleration coefficient in convective mode (IS 1893 part 2 2014, clause 4.10.1,page 10)
Vertical seismic force in convective mode in tank full condition, kN
Vertical seismic force in convective mode in tank empty condition, kN
Moment exerted by vertical seismic force in convective mode about outer edge of raft kN‐m in tank full condition
Moment exerted by vertical seismic force in convective mode about outer edge of raft kN‐m in tank empty condition
Surcharge pressure in tank full condition due to vertical seismic force kN/sq.m
Total udl force on wall due to vertical surcharge outwards kN/m
Moment exerted at wall‐raft interface due to vertical surcharge kN‐m
7. Combined seismic analysis‐ impulsive, convective and vertical when tank is full and empty
Combined base shear acting in tank full condition kN
Combined overturning slab moment in tank full condition kN‐m (API 650 2020, E.6.1.5‐2, page E‐20)
Combined base shear acting in tank empty condition kN
Combined overturning slab moment in tank empty condition kN‐m (API 650 2020, E.6.1.5‐2, page E‐20)
8. Wind analysis (same for tank full and tank empty conditions, IS 875 part 3: 2015 )
Basic wind speed Vb m/s (annex A/clause 6.2, page 51)
k1 (table 1/clause 6.3.1, page 7)
k2 (table 2/clause 6.3.2.2, page 8)
k3 (clause 6.3.3.1, page 8)
k4 (clause 6.3.4, page 9)
Design wind speed Vz m/s (clause 6.3, page 5)
Design wind pressure Pz N/sq.m (clause 7.2, page 9)
External pressure coefficient Cpe (table 5, page 13)
Internal pressure coefficient Cpi (clause 7.3.2.1, page 11)
Effective frontal area normal to wind force sq.m
Wind load acting on shell kN (clause 7.3.1, page 10)
Moment exerted by wind load about raft TOC kN‐m
9. Check for overturning of ring wall in tank full and empty conditions
Overturning moment in tank full condition about outer raft edge kN‐m (only seismic, no wind)
Sum of restoring moments in tank full condition about outer raft edge kN‐m
Factor of safety against overturning when the tank is full of ethanol (only seismic, no wind)
Overturning moment in tank full condition about outer raft edge kN‐m (only wind, no seismic)
Factor of safety against overturning when the tank is full of ethanol (only wind, no seismic)
Overturning moments in tank empty condition about outer raft edge kN‐m (only seismic, no wind)
Sum of restoring moments in tank empty condition about outer raft edge kN‐m
Factor of safety against overturning in tank empty condition (only seismic, no wind)
Overturning moments in tank empty condition about outer raft edge kN‐m (only wind, no seismic)
145.895
113.229
6.033
880.128
683.065
0.063
331.030
15.657
1655.151
78.283
0.028
97.263
75.486
486.317
377.429
6.868
4.545
9.089
622.000
463.593
285.512
286.209
47.000
1.060
1.000
1.000
1.150
57.293
1969.493
‐1.200
0.200
64.000
176.467
762.588
463.593
18310.675
39.497
762.588
24.011
286.209
13197.315
46.111
762.588
Factor of safety against overturning in tank empty condition (only wind, no seismic)
17.306
Inference: Since the factor of safety is greater than 1.550 for all tank full and tank empty conditions, the ring wall is safe against overturning.
10. Check for sliding of ring wall in tank full and empty conditions
Total weight of foundation in tank full condition, excluding compacted sand and tank ethanol inside inner edge of footing kN (conservative
3662.135
weight estimate)
Total weight of foundation in tank empty condition, excluding compacted sand and tank ethanol inside inner edge of footing kN (conservative
2639.463
weight estimate)
Total sliding force in tank full condition kN (only seismic, no wind)
622.000
Friction resistance offered by ring foundation in tank full condition excluding compacted sand and ethanol enclosed by inner edge of footing kN
1249.704
(API 650 2020, clause E.7.6‐1, page E‐28)
Factor of safety against sliding in tank full condition (only seismic, no wind)
2.009
Total sliding force in tank full condition kN (only wind, no seismic)
176.467
Factor of safety against sliding in tank full condition (only wind, no seismic)
7.082
Total sliding force in tank empty condition kN (only seismic, no wind)
285.512
Friction resistance offered by ring foundation in tank empty condition excluding compacted sand and ethanol enclosed by inner edge of footing
794.478
kN (API 650 2020, clause E.7.6‐1, page E‐28)
Factor of safety against sliding in tank empty condition (only seismic, no wind)
2.783
Factor of safety against sliding in tank empty condition (only wind, no seismic)
4.502
Inference: Since the factor of safety is greater than 1.550 for all tank full and tank empty conditions, the ring wall is safe against sliding
11. Check for subsidence of ring wall in tank full and empty conditions
Let the resultant force due to total gravity load and total horizontal force lie at a distance of x meters from the outer edge of the raft.
x when tank is full m (only seismic, no wind)
4.873
Eccentricity of the resultant force from raft outer edge when tank is full e m (only seismic, no wind)
0.127
x when tank is full m (only wind, no seismic)
4.792
Eccentricity of the resultant force from raft outer edge when tank is full e m (only wind, no seismic)
0.208
x when tank is empty m (only seismic, no wind)
4.892
Eccentricity of the resultant force from raft outer edge when tank is empty e m (only seismic, no wind)
0.108
x when tank is empty m(only wind, no seismic)
4.711
Eccentricity of the resultant force from raft outer edge when tank is empty e m (only wind, no seismic)
0.289
Inference: Outer diameter of raft/3 = 10000/3 = 3334mm. The value of x is more than (outer diameter of raft/3) for both tank full and tank empty conditions. The resultant force
shall be within a radial distance of (outer radius of raft)/3= 5000/3= 1666mm from tank center point (middle one‐third radial distance). In other words, the eccentricity shall be more
than 5000‐ 1666=3334mm from the outer edge of raft. This condition is satisfied for all load cases in tank full and empty situations. Hence the ring wall foundation is safe against
subsidence.
12. Required bearing capacity of subgrade after ground improvement for worst case‐ tank full and maximum eccentricity
Total weight of foundation in tank full condition per meter circumferential length kN (conservative worst case estimate)
251.480
Maximum presure acting under heel in tank full condition kN/sq.m
234.725
Bearing capacity required after ground improvement (kN/sq.m)
234.725
Bearing capacity required after ground improvement (ton/sq.m)
24.000
13. Check for minimum pressure under heel for worst case‐ tank empty and maximum eccentricity
Total weight in tank empty condition acting on 1 meter circumferential length of ring raft kN (conservative worst case estimate)
105.074
Minimum presure acting under toe in tank empty condition kN/sq.m
13.729
Inference: Since the minimum possible pressure under the toe is positive for all conditions, the ring wall is safe against tension or separation.
14. Ring wall vertical reinforcement for worst case (tank full)
Impulsive base shear in tank full condition per meter circumferential length kN/m
19.767
Moment exerted by this impulsive base shear at wall‐raft interface kN‐m
141.927
Total shell weight per meter circumferential length kN/m
2.929
Moment exerted by this shell weight at wall‐raft interface kN‐m
19.624
Total roof weight per meter circumferential length kN/m
2.734
Moment exerted by this roof weight at wall‐raft interface kN‐m
29.250
Convective base shear in tank full condition per meter circumferential length kN/m
5.808
Moment exerted by this convective base shear at wall‐raft interface kN‐m
35.037
Vertical impulsive seismic force in tank full condition per meter circumferential length kN/m
17.571
Moment exerted by this vertical impulsive seismic force about raft outer edge kN‐m
87.853
Vertical convective seismic force in tank full condition per meter circumferential length kN/m
5.163
Moment exerted by this vertical convective seismic force about raft outer edge kN‐m
25.813
Moment exerted by combined seismic force (convective, impulsive, vertical) at wall‐raft interface kN‐m
18.839
Wind load acting per circumferential length of shell kN (clause 7.3.1, page 10)
14.050
Moment exerted by this wind load at wall‐raft interface kN‐m
85.002
Moment exerted by active earth pressure of compacted sand at wall‐raft interface kN‐m
7.500
Moment exerted by ethanol surcharge udl at wall‐raft interface kN‐m
88.411
Moment exerted by structural steel surcharge udl about raft TOC kN‐m
19.735
Moment exerted by bitumen surcharge udl about raft TOC kN‐m
1.456
Moment exerted by vertical seismic force surcharge udl about raft TOC kN‐m
9.089
Total moment acting on the wall‐raft interface kN‐m
211.192
Factored moment Mu acting on the wall‐raft interface kN‐m
316.789
Grade of concrete MPa
30.000
Yield strength of steel MPa
500.000
Effective depth of wall d (center to center of vertical reinforcement) mm
477.000
Mu/(b*d*d) Mpa, b is unit circumference of wall= 1000mm
1.392
Percentage of steel required (SP 16:1980, table 4, page 50)
0.341
Diameter of vertical bars used in ring wall mm
25.000
Spacing of vertical bars used mm
205.000
Number of vertical bars per face of ring wall
130.000
Total area of vertical bars provided per face of wall sq.mm
63781.250
Percentage of steel provided
0.532
Inference: Area of steel provided > Area of steel required for wall vertical bars. The value of Mu/(b*d*d) is less than the limiting value of 3.980 MPa for M30 concrete and Fe500
steel. The percentage of reinforcement adopted is less than the limiting value of 1.132 for M30 concrete and Fe 500 steel. Hence the section is under reinforced. The spacing of wall
vertical reinforcement is less than the lesser value of 300mm and 3d.
Shear force at wall‐raft interface because of combined seismic force per meter circumferential length (impulsive, convective and vertical) Kn
27.565
Shear force at wall‐raft interface because of wind load per meter circumferential length kN
Shear force at wall‐raft interface because of compacted sand's earth pressure Kn
Shear force at wall‐raft interface due to ethanol surcharge outwards kN
Shear force at wall‐raft interface due to structural steel surcharge outwards kN
Shear force at wall‐raft interface due to bitumen surcharge outwards kN
Shear force at wall‐raft interface due to vertical seismic force surcharge outwards Kn
Maximum shear force at wall‐raft interface kN
Factored shear force at junction kN
Shear stress at wall‐raft interface Mpa
For percentage of provided reinforcement = 0.532, design shear stress in M30 concrete, MPa (IS 456:2000, Table 19, page 73) =
Inference: Since nominal shear stress is less than design shear stress for M30 concrete, the ring wall section is safe in shear.
15. Ring wall circumferential reinforcement for hoop tension for worst case (tank full)
Hoop tension udl per meter height because of compacted sand fill kN/m
Total hoop tension because of compacted sand acting on ring wall per meter height Kn
Total combined seismic force acting on ring wall kN
Outward lateral pressure induced by this seismic load on ring wall kN/sq.m
14.050
11.250
88.411
19.735
1.456
9.089
157.506
236.259
0.495
0.511
192.589
192.589
622.000
13.295
Hoop stress because of combined seismic lateral pressure kN/sq.m (thick walled cylinder)
97.145
Total hoop tension because of combined seismic load acting on ring wall per meter height Kn
53.430
Total surcharge acting on the wall (ethanol, structural steel, bitumen, vertical seismic force) kN/sq.m
89.678
Total udl along height of wall because of total surcharge kN/m
59.345
Outward lateral pressure induced by total surcharge kN/sq.m
59.345
Hoop stress because of total surcharge acting on ring wall per meter height kN/sq.m
433.643
Total hoop tension because of all surcharges acting on ring wall per meter height Kn
238.504
Total hoop tension acting per meter height of the wall kN
484.522
Factored hoop tension acting per meter height of the wall kN
726.783
Allowable stress in Fe500 steel, Mpa (working stress for crack free design of wall) (IS 456:2000, note 1 below table 22, page 82)
275.000
Total area of steel required per meter height for hoop reinforcement sq.mm
2642.847
Total area of steel required per meter height per face for hoop reinforcement sq.mm
1321.423
Total area of steel required per face for entire 2 meters height of ring wall sq.mm
2642.847
Diameter of steel used for circumferential wall reinforcement mm
16.000
Center to center spacing of circumferential bars mm
150.000
Total number of circumferential bars per face of ring wall
15.000
Total area of steel provided as hoop reinforcement per face sq.mm
3014.400
Total area of steel provided as hoop reinforcement for both faces sq.mm
6028.800
Percentage of steel provided as circumferential reinforcement
0.746
Inference: Area of steel provided > Area of steel required for wall hoop bars. The percentage of reinforcement adopted is less than the limiting value of 1.132 for M30 concrete and
Fe 500 steel. Hence the section is under reinforced. The spacing of wall hoop reinforcement is less than the lesser value of 300mm and 3d.
16. Heel reinforcement
Weight of compacted sand backfill resting on heel per meter length kN
24.650
Moment exerted by compacted sand weight about heel edge of ring raft kN‐m
8.936
Weight of heel projection per meter length kN
11.781
Moment exerted by heel projection weight about heel edge kN‐m
4.271
Weight of pressure distribution rectangle per meter length kN
‐9.953
Moment exerted by pressure distribution rectangle about heel edge kN‐m
‐3.608
Weight of pressure distribution triangle per meter length kN
‐29.040
Moment exerted by pressure distribution triangle about heel edge kN‐m
‐14.036
Total moment at heel‐stem interface kN‐m
‐4.438
Factored moment Mu acting at heel‐stem interface kN‐m
‐6.657
Absolute value of Mu kN‐m
6.657
Effective depth of heel d (center to center of main reinforcement) mm
504.000
Mu/(b*d*d) Mpa, b is unit circumference of heel= 1000mm
0.026
Percentage of steel required (SP 16:1980, table 4, page 50)
0.070
Area of steel required per meter circumferential length of heel sq.mm
352.800
Total area of steel required per face of raft sq.mm
10916.182
Diameter of short raft bars used mm
16.000
Spacing of raft short bars provided mm
200.000
Number of short bars provided per face of raft
156.000
Area of steel provided per face of raft sq.mm
31349.760
Percentage of steel provided, considering both faces
0.660
Inference: Area of steel provided > Area of steel required for raft bars. The percentage of reinforcement adopted is less than the limiting value of 1.132 for M30 concrete and Fe 500
steel. Hence the section is under reinforced. The spacing of raft reinforcement is less than the lesser value of 300mm and 3d.
Total area of distribution steel required per face of raft sq.mm
1560.000
Diameter of distribution bars used per face of raft mm
16.000
Spacing of distribution bars provided per face of raft mm
200.000
Number of distribution bars provided per face of raft
11.000
Area of distribution steel provided per face of raft sq.mm
2210.560
Inference: Area of steel provided > Area of steel required for raft distribution bars.
Shear at stem‐heel junction kN
‐2.563
Absolute value of Mu kN
2.563
Shear stress at stem‐heel interface Mpa
0.005
Factored shear stress at junction kN
0.008
For percentage of steel=0.330 (per face of raft), design shear stress in M30 concrete MPa (IS 456:2000, table 19, page 73)
0.411
Inference: Since factored shear stress is less than design shear stress of concrete, the section is safe in shear at the wall‐heel junction
17. Toe reinforcement for worst case (tank full)
Weight of toe slab per meter length kN
11.781
Moment exerted by toe projection weight about toe edge kN‐m
‐4.271
Weight of pressure distribution rectangle per meter length kN
9.953
Moment exerted by pressure distribution rectangle about toe edge kN‐m
3.608
Shorter side of pressure distribution trapezium kN/sq‐m
140.885
Longer side of pressure distribution trapezium kN/sq‐m
220.996
Height of pressure distribution trapezium m
0.725
Weight of pressure distribution trapezoid per meter length kN
131.182
Lever arm of pressure distribution trapezoid m
0.336
Moment exerted by pressure distribution trapezoid about toe edge kN‐m
44.044
Total moment at toe‐stem interface kN‐m
43.382
Factored moment Mu acting at toe‐stem interface kN‐m
65.073
Mu/(b*d*d) Mpa, b is unit circumference of toe= 1000mm
0.256
Percentage of steel required (SP 16:1980, table 4, page 50)
0.099
Area of steel required per meter circumferential length of toe sq.mm
643.500
Total area of steel required per face of raft sq.mm
19910.894
Diameter of short bars used per face of raft mm
16.000
Spacing of short bars provided per face of raft mm
200.000
Number of short bars provided per face of raft
156.000
Area of steel provided per face of raft sq.mm
31349.760
Percentage of steel provided, considering both faces
0.660
Inference: Area of steel provided > Area of steel required for raft bars. The percentage of reinforcement adopted is less than the limiting value of 1.132 for M30 concrete and Fe 500
steel. Hence the section is under reinforced. The spacing of raft reinforcement is less than the lesser value of 300mm and 3d.
Total area of distribution steel required per face of raft sq.mm
1560.000
Diameter of distribution bars used per face of raft mm
16.000
Spacing of distribution bars provided per face of raft mm
200.000
Number of distribution bars provided per face of raft
11.000
Area of distribution steel provided per face of raft sq.mm
2210.560
Inference: Area of steel provided > Area of steel required for raft distribution bars.
Distance between critical shear section and toe‐raft junction mm
0.404
Height of pressure distribution diagram at this critical section kN/sq‐m
185.526
Net shear force at the section kN
62.234
Shear stress at critical section of toe Mpa
0.123
Factored shear stress at critical section Mpa
0.185
Percentage of steel provided per raft face
0.330
For percentage of steel=0.330 (per face of raft), design shear stress in M30 concrete MPa (IS 456:2000, table 19, page 73)
0.411
Inference: Since factored shear stress is less than design shear stress of concrete, the section is safe in shear at the critical toe junction.
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