Sample Problem - 2 Flat Plate
RCDC
FE
Mumbai. India. Web: www.S-cube.in: Email:
[email protected]
RCDC FE
Contents Analysis Model 3D & Plan ............... .......................... ..................... ..................... ..................... ..................... ..................... ..................... .............. ... 2 RCDC FE 3D &Plan ....................................................................................................... 3 Reinforcement Reinforce ment View ............................. .............. ............................. ............................ ........................... ........................... ............................ ................ ..4 Required Reinforcement Contour .................... .............................. ..................... ..................... ..................... ...................... ................. ......5 Provided Reinforcement Reinf orcement Contour ........................... ............. ............................ ............................ ............................ ......................... ........... 6 Reinforcement Efficiency............................................................................................. 7 Drawings ...................................................................................................................... 8 BOQ ........................................................................................................................... 11 Design Calculation ..................................................................................................... 12
Analysis Model 3D & Plan
RCDC FE
RCDC FE 3D &Plan
RCDC FE
Reinforcementt View Reinforcemen
RCDC FE
Required Reinforcement Contour
RCDC FE
Provided Reinforcement Contour
RCDC FE
Reinforcementt Efficiency Reinforcemen
RCDC FE
Drawings: Plan
RCDC FE
Drawings: Bottom Reinforcement Plan
RCDC FE
Drawings: Top Reinforceme Reinforcement nt Plan
RCDC FE
RCDC FE
BOQ File Type
: Flat Plate
Project Name
: Demo Project
Client Name
: Demo Client
Engineer Name
: Demo Engineer
Design File
: C:\Flat plate.RCFX
Analysis File
: C:\\Flat plate-5-1.mdb
Analysis Last Modified Modified : 15-11-2017 14:53:29 No.
Material
Unit
Quantity Rate ₹
1
Concrete M30
(cuM)
174.31
2
Steel T10 (Fe500) (kg)
4623.00 60.00
277380
3
Steel T12 (Fe500) (kg)
110.00
60.00
6600
4
Steel T16 (Fe500) (kg)
8.00
60.00
480
Sub Total 5
Shuttering Grand Total
Cost ₹
7000.00 1220170
2,84,460 (sq.M)
741.52
600.00 444911 19,49,541
Design Metrics
1 Consumption : Steel/Concrete ratio
= 27.20 kg/cuM
2 Concrete % M30
= 100.00 %
3 Shuttering
= 100.00 %
RCDC FE
Design Calculation File Type
: Flat Plate
Project Name
: Demo Project
Client Name
: Demo Client
Engineer Name
: Demo Engineer
Design File
: C:\ Flat plate.RCFX
Analysis File
: C:\ Flat plate-5-1.mdb
Analysis Last Modified : 15-11-2017 14:53:29
Definitions Of Terms: Maximum spacing of main steel is smaller of 3*Deff. and 300 mm. Maximum spacing of Distribution steel is smaller of 5*Deff and 450mm. All forces in units kN and m 1 a1i
=
Critical section dimension parallel to moment
2 a2i
=
Critical section dimension transverse to moment
3 acr
=
Distance from the point considered to the surface of the nearest longitudinal bar in mm
4 acs
=
Deflection due to Shrinkage
5 alpha1
=
Moment transfer factor along major direction
6 alpha2
=
Moment transfer factor along minor direction
7 Astx C
=
Area of reinforcement on Compression face in X direction
8 Astx T
=
Area of reinforcement on tension face in X direction
9 Asty C
=
Area of reinforcement on Compression face in Y direction
10 Asty T
=
Area of reinforcement on tension face in Y direction
11 barea
=
Effective punching area in Sqmm
12 Bc
=
Column/Wall Length to width ratio
13 bcDp
=
Dp length to width ratio
14 bpm
=
Effective punching perimeter in mm
RCDC FE
15 CiCr
=
Correction factor for Creep deflection
16 CiDL
=
Correction factor for Instantaneous Dead Load Deflection
17 CiTL
=
Correction factor for Instantaneous Total loads Deflection
18 COLb
=
Column/ wall Minor dimension
19 COLd
=
Column/ wall Major dimension
20 Delta DL
=
Deflection due to Dead Loads
21 Delta TL
=
Deflection due to Total Loads
22 DeltaC
=
Deflection due to Creep
23 DeltaIDL
=
Deflection due Instantaneous Dead Load
24 DeltaITL
=
Deflection due to Instantaneous TL
25 DeltaLT
=
Deflection due to Total Long term Deflection
26 DeltaS
=
Deflection due to Shrinkage
27 DPd
=
Overall depth of DP in mm
28 DPdeff
=
Effective depth of DP in mm
29 DPx
=
Length of Drop Panel x Direction in mm
30 DPy
=
Width of Drop Panel y Direction in mm
31 Ec
=
Modulus of elasticity of concrete in N/Sqmm
32 Es
=
Modulus of elasticity of steel in N/Sqmm
33 Fc
=
Maximum Compressive Stress in the concrete
34 Fck
=
Characteristic compressive strength of concrete cube in N/Sqmm
35 Fst
=
Stress in steel in N/Sqmm
36 Fy
=
Yield Stress of Reinforcement in N/Sqmm
37 Icr
=
Moment of Inertia of Cracked Section
38 Igr
=
Gross moment of Inertia in mm
39 Ieff
=
Effective Moment of Inertia
40 Jxx1
=
Moment of inertia about centroid of the section in major direction (as per table no.8, SP24) in mm^4
41 Jxx2
=
Moment of inertia about centroid of the section in minor direction (as per table no.8, SP24) in mm^4
RCDC FE
42 Ks
=
Shear factor for Colun/Wall size
43 Mshear1
=
Part of unbalanced moment transferred to shear in major direction of Column/Wall in kN-m
44 Mshear2
=
Part of unbalanced moment transferred to shear in minor direction of Column/Wall in kN-m
45 Mu2
=
Factored bending moment in minor direction of column/ wall in kN-m
46 Mu3
=
Factored bending moment in major direction of column/ wall in kN-m
47 MubotCS
=
Design bending moment at bottom along length in CS from analysis in kN-m
48 MutopCS
=
Design bending moment at top across length in CS from analysis in kN-m
49 Mux
=
Design moment along X direction in kN-m
50 Mux CSJ
=
Design bending moment at top along X direction in CSJ from analysis in kN-m
51 Mux DP
=
Design bending moment at top along X direction in DP from analysis in kN-m
52 Mux.Design DP
=
Final design bending moment at top along X direction in DP including effect of unbalanced bending moment
53 MuxbotMS
=
Design bending moment at bottom along X direction in MS from analysis in kN-m
54 Muy
=
Design moment along Y direction in kN-m
55 Muy CSJ
=
Design bending moment at top along Y direction in CSJ from analysis in kN-m
56 Muy DP
=
Design bending moment at top along Y direction in DP from analysis in kN-m
57 Muy.Design DP
=
Final design bending moment at top along Y direction in DP including effect of unbalanced bending moment
Mux.DP + Ubm1 or Ubm2 in kN-m
Muy.DP + Ubm1 or Ubm2 in kN-m
RCDC FE
58 MuybotMS
=
Design bending moment at bottom along Y direction in MS from analysis in kN-m
59 MxDL
=
Moment due to DL in X direction for the location of maximum deflection
60 MxLL
=
Moment due to LL in X direction for the location of maximum deflection
61 MyDL
=
Moment due to DL in Y direction for the location of maximum deflection
62 MyLL
=
Moment due to LL in Y direction for the location of maximum
63 Ptx C
=
Percentage reinforcement on Compression face in X direction
64 Ptx T
=
Percentage reinforcement on tension face in X direction
65 Pty C
=
Percentage reinforcement on Compression face in Y direction
66 Pty T
=
Percentage reinforcement on tension face in Y direction
67 Pu
=
Factored axial load in column/Wall in kN
68 SLdeff
=
Effective depth of Slab in mm
69 sp
=
Spacing Between bars at outer most layer in mm
70 Tc
=
Permissible Shear stress in concrete in N/Sqmm
71 TceDp
=
Final Concrete Shear Stress of Dp in N/Sqmm
72 Tce
=
Final Concrete Shear Stress in N/Sqmm
73 Tshear1
=
Shear Stress Deu to unbalanced moment along major direction in N/Sqmm
74 Tshear2
=
Shear Stress Deu to unbalanced moment along minor direction in N/Sqmm
75 Tv
=
Maximum design punching shear stress for Column/Wall in N/Sqmm
76 TvDp
=
Maximum Design punching shear Stress for Dp in N/Sqmm
77 Ubm1
=
Part of unbalanced moment transferred to bending moment in major direction of Column/Wall in kN-m
78 Ubm1T
=
Total unbalanced moment transferred to bending moment in major direction of Column/Wall in kN-m
RCDC FE
79 Ubm2
=
Part of unbalanced moment transferred to bending moment in minor direction of Column/Wall in kN-m
80 Ubm2T
=
Total unbalanced moment transferred to bending moment in minor direction of Column/Wall in kN-m
81 Vc
=
Shear resisted by Concrete in kN
82 VuShear
=
Shear Stress due to Vertical load in N/Sqmm
83 Vcr
=
Design shear force at critical section from the face of the column/Wall in kN
84 VcrDp
=
Design shear force at critical section from the face of the DP in kN
85 ksDp
=
Shear Stress Factor Of DP
86 Vs
=
Shear resisted by shear reinforcement in kN
87 Wcr
=
Surface Crack Width in mm
88 Wu
=
Ultimate loading intensity on DP/ CSJ in kN/Sqmm
89 Xact
=
Actual depth of natural axis
90 ycs
=
Shrinkage curvature
91
ε1
=
Strain at the level considered, calculated ignoring the stiffening of the concrete in the tension zone
92
εm
=
Average steel strain at the level considered
93
εcs
=
Ultimate shrinkage strain of concrete
RCDC FE
Code Reference IS 456 Element
Clause / table
1 Ptmin
=
26.5.2.1
2 Ptcalculated
=
38
3 Shear Strength Of Concrete
=
40.3
4 Modification Factor for Shear
=
40.2.1.1
5 Max Nominal Shear Stress
=
40.2.3
6 Basic Span To Depth Ratio
=
23.2.1
7 Spacing Between Main Bars
=
26.3.3
8 Spacing Between Distribution Bars
=
26.3.3
9 Transfer Of Bending Moment To Column//Wall
=
31.3.3
10 Shear In Flat Slab
=
31.6
11 Flat Slab Reinforcement
=
31.7
12 Calculation Of Deflection
=
Annex-C
13 Crack Width Calculation
=
Annex-F
14 Cracking of Concrete
=
Clause 35.3.2
15 Short Term Deflection
=
Annex-C, C-2
16 Ieff
=
Annex-C,C-2.1
17 Deflection Due To Shrinkage
=
Annex-C, C-3
18 Deflection Due to Creep
=
Annex-C, C-4
RCDC FE
General Data: Design Code
= IS 456
Grade Of Concrete
= M30
Grade Of Steel
= Fe500
Clear cover Top
= 25
mm
Clear cover Bottom
= 25
mm
BottomX Through Ast Required
= 260.53
sqmm/m
Ast Provided
= 261.8
sqmm/m
Reinforcement
= T10@300C/C (MESH)
Zone in Bottom @ X Critical Element
= Z69
Region
= S1
Critical Load Combination
= 1.5 Dead +1.5 Live
SLdeff
= 119
mm
Mux
= 13.09
kNm/m
Ast Required
= 262.65
sqmm/m
Ast Required - min
= 180
sqmm/m
Ast Provided Through
= 261.8
sqmm/m
Ast Provided Extra
= 261.8
sqmm/m
Ast Provided Total
= 523.6
sqmm/m
Reinforcement
= T10@300C/C
RCDC FE
BottomY Through Ast Required
= 261.37
sqmm/m
Ast Provided
= 261.8
sqmm/m
Reinforcement
= T10@300C/C (MESH)
Design For Punching Shear Around Column/Wall Critical Element
=
W26
COLd
=
1500
mm
COLb
=
200
mm
Critical Load Combination
=
1.5 Dead +1.5 Live
Load Factor (LF)
=
1.5
Load Intensity On Drop Panel In (kN/sqm) Self Wt
Dead Load
Live Load
Total Load
Ultimate Load (Wu)
(a)
(b)
(c)
TL=(a+b+c)
LF x TL
3.75
3.5
3.5
10.75
16.12
DPdeff
=
105
mm
bpm
=
3822
mm
barea
=
401310
sqmm kN
Pu
=
134.99
Vcr
=
127.07
kN
VuShear
=
0.32
N/sqmm
RCDC FE
Calculation Of Unbalanced Moment Direction
Major Minor
Section Dimension
Moment From Moment Moment Transferred Analysis Transfer Factor To Bending
ai
M
mm
kNm
1605
21.11
306
-7.82
alpha 0.4 0.77
Distributed Moment Transferred To Bending
Moment Transferred To Shear
UbmT
Ubm
Mshear
Jxx
Tshear
kNm
kNm
kNm
mm 4
N/sqmm
8.36
0.5
12.76
114.05 x 10
-1.76
9
-6.06
-0.41
Tv
=
0.44
N/sqmm N/sqmm
Tc
=
1.37
Bc
=
0.13
Ks
=
0.63
Tce
=
0.86
Tv < Tce
Ok
N/sqmm
Moment Of Inertia
8.45 x 10
9
Shear Stress
0.0898 0.0319
