BEAM DESIGN CALCULATION
Project Name : Sample
Client Name : Sample
Engineer Name : Sample
Design File : D:\Bentley\Common data\Bentley Communities\IS\Validation Sheets\IS code_Validation problem_Updated\STAAD File\standard model-05-Beam-1-16.258 m.rcdx
Analysis File : D:\Bentley\Common data\Bentley Communities\IS\Validation Sheets\IS code_Validation problem_Updated\STAAD File\standard model-05.std
Analysis Last Modified : 10/1/2015 4:37:14 PM
Level Designed : 16.258 m
 
Sr.No. Symbol Definitions
1 α = Angle formed with horizontal by diagonal reinforcement
2 ε1 = Strain at level considered, Calculated ignoring the stiffening of the concrete in tension zone
3 εm = Average steel strain at level considered
4 Acr = Distance from the point considered to the surface of the nearest longitudinal bar
5 Adr = Area of diagonal reinforcement in coupler beam
6 AstCalc = Area of Tension reinforcement required in sqmm
7 Ast comp = Ast at compression side
8 AstCrack = Area of Tension reinforcement for Crack Width required in sqmm
9 AstPrv = Area of reinforcement provided at given section in sqmm
10 Asv = Area of shear reinforcement required per meter length in sqmm
11 Asv Reqd = Min area shear reinforcement as per clause 41.4.3
12 Asv Total Prv = Total area of shear reinforcement provided, including that for torsion
13 Asv Torsion = Area of Stirrups over the corner bars to resist shear and torsion as per clause 41.4.3
14 Asv Torsion Prv = Area of shear reinforcement resisting torsion (outer legs only)
15 b = Width of the Beam in mm
16 bw = Width of Web in mm
17 Ceff = Effective Cover of Beam in mm
18 Cmin = Clear cover
19 d = Effective depth of Beam in mm
20 d' = Clear cover to reinforcement at compression side.
21 D = Depth of Beam in mm
22 D' = Distance (c/c) between top-most and bottom-most layer
23 Df = Thickness of Flange in mm
24 Ec = Modulus of elasticity of concrete
25 Es = Modulus of elasticity of steel
26 FcPerm = Permissible Stress in Concrete required in N/sqmm
27 Fst = Stress in steel
28 FstPerm = Permissible Stress in Steel required in N/sqmm
29 Legs = Number of legs of the shear reinforcement
30 lo = Effective Length of Beam in mm
31 Mh = Hogging Moment of Resistance in kNm
32 Ms = Sagging Moment of Resistance in kNm
33 MTu = Converted Bending Moment due to Torsion at a section in kNm
34 Mu = Factored Bending Moment in Limit State at a section in kNm
35 Mud = Total Design Moment = Mu + MTu in kNm
36 MuLim = Limiting Moment of Resistence of Singly Reinforced Section
37 NA angle (φ) = It is a neutral axis angle corresponding to load angle to find out MCap
38 Pcclc = Calculated percentage compression steel
39 Ptclc = Calculated percentage tension steel
40 Ptmin = Minimum percentage steel as per code
41 PtPrv = provided percentage steel
42 R = Moment Ratio Mud/Bd2
43 Reinf = Rebar arrangement provided
44 sp = Spacing Between bars at outer most layer
45 Spc1 to Spc6 = Max Stirrup Criteria in mm
46 Stirrup Dia = Diameter of shear stirrups in mm
47 SvCalc = Stirrup spacing calculated as per Asv in mm
48 SvPrv = Stirrup spacing provided in m
49 Tc = Permissible Shear stress in concrete at a given section in N/sqmm Calculated as per Tensile reinforcement
50 Τce = Earthquake inducted shear stress in N/sqmm
51 Τcep = Permissible value of shear stress for checking of coupling action in N/sqmm
52 Tu = Factored Torsional Moment in Limit State at a section in kNm
53 Tv = Shear stress due to Vud in N/sqmm
54 VD+L = Shear force 1.2x(Dead Load + Live Load) in kN
55 Vc = Shear capacity of concrete section due to Tc in kN
56 Vu = Factored Shear Force in Limit State at a section in kN
57 Vu-A1 = VD+LLeft - 1.4 x (MsLeft + MhRight)/L in kN
58 Vu-A2 = VD+LLeft + 1.4 x (MhLeft + MsRight)/L in kN
59 Vu-B1 = VD+LRight + 1.4 x (MsLeft + MhRight)/L in kN
60 Vu-B2 = VD+LRight - 1.4 x (MhLeft + MsRight)/L in kN
61 Vud = Design Shear Force (Max of Vus and Vu-sway) in kN
62 Vue = Earthquake inducted shear in kN
63 Vu-sway = Max of (Vu-A1 and Vu-A2) & (Vu-B1 and Vu-B2) in kN
64 Vus = Vud - Vc Design Shear Force for reinforcement, in kN
65 Vut = Total Shear Force = Vu + VTu in kN
66 VTu = Converted Shear Force due to Torsion at a section in kN
67 Wcr = Surface Crack Width
68 WcrPerm = Permissible Crack Width required in mm
69 X1 = Smaller c/c dimension of outermost Stirrups
70 Y1 = Larger c/c dimension of outermost Stirrups
All 6mm diameter bars are assumed 250 grade with fy = 250 N/sqmm
 
All Forces are in 'kN', 'kNm', Stress in 'N/sqmm' & Dimension are in 'mm'.
 
Code References
IS 456
Sr.No. Item Clause / Table
1. Ptmax : 26.5.1.1
2. Ptmin : 26.5.1.1
3. MTu : 41.4.2
4. VTu : 41.3.1
5. Ptclc : 38
6. Tc : 40.2.1
7. Tcmax : 40.2.3
8. Asv : 40.4
9. Min Shear Reinf : 26.5.1.6
10. Max Stirrup Spacing : 26.5.1.5
11. Shear Reinf - Torsion : 26.5.1.7
12. Side Face Reinforcement : 26.5.1.3
13. crack width calculation : Annex-F
14. cracking : Clause 35.3.2
                                
IS 13920 - 2016
Sr.No. Item Clause / Table
1. Ptmax : 6.2.2
2. Ptmin : 6.2.1
3. Astmin : 6.2.3 & 6.2.4
4. Svclc : 6.3.5
5. Shear Capacity : 6.3.4
6. Coupling Beams : 10.5

Group : G16
Beam No : B6
Analysis Reference (Member) 16.258 m : 7006
Beam Length : 8000 mm
Breadth (B) : 400 mm
Depth (D) : 900 mm
Effective Depth (d) : 845 mm
Design Code : IS 456
Beam Type : Regular Beam
Grade Of Concrete (Fck) : M25 N/sqmm
Grade Of Steel : Fe415 N/sqmm
Clear Cover (Cmin) : 25 mm
Es : 2x10^5 N/sqmm
 
Flexure Design
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 11 11 11 11 20 11
Critical L/C - RCDC 1 1 1 1 10 1
Mu (kNm) - 587.21 - 1026.51 20.12 1037.62
Tu (kNm) 61.05 1.04 58.97 61.05 17.36 58.97
MTu (kNm) 116.71 1.99 112.74 116.71 33.18 112.74
Mud (kNm) 116.71 589.19 112.74 1143.21 53.3 1150.36
MuLim (kNm) 986 986 986 986 986 986
R 0.409 2.063 0.395 4.003 0.187 4.028
   Ptmin (%) 0.2 0.205 0.2 0.205 0.205 0.205
   Ptclc (%) 0.2 0.64 0.2 1.357 0.205 1.365
   Pcclc (%) 0.115 0 0.111 0.172 0.013 0.179
  PtPrv (%) 0.372 0.744 0.372 1.387 0.238 1.387
AstCalc (sqmm) 676 2161.93 676 4587.13 692.29 4612.18
AstPrv (sqmm) 1256.64 2513.28 1256.64 4689.61 804.24 4689.61
Reinforcement Provided 4-T20 4-T20
4-T20
4-T20 4-T32
3-T25
4-T16 4-T32
3-T25
 
Shear Design
Left Mid Right
Critical L/C - Analysis 11 11 11
Critical L/C - RCDC 1 1 1
PtPrv (%) 1.387 0.744 1.387
Vu (kN) 628.28 357.97 631.06
Tu (kNm) 61.05 21.04 58.97
VTu (kN) 244.19 84.17 235.88
Vut (kN) 872.47 442.14 866.94
Tv (N/sqmm) 2.58 1.31 2.56
Tc (N/sqmm) 0.72 0.57 0.72
Vc (kN) 244.15 193.62 244.15
Vus=Vut-Vc (kN) 628.32 248.52 622.79
Legs 2 2 2
Stirrup Rebar 10 10 10
Asv Torsion (sqmm) 1500.93 690.592 1482.576
Asv Torsion Prv (sqmm) 2094.4 826.74 2094.4
Asv Reqd (sqmm/m) 2059.45 814.56 2041.33
SvCalc (mm) 75 190 75
SvPrv (mm) 75 190 75
Asv Total Prv (sqmm) 2094.4 826.74 2094.4
 
Maximum Spacing Criteria
    
       Basic                               
                Spc1 =0.75d = 634 mm
                Spc2 = 300 mm
       For Torsion                                 
                (X1 = 360, Y1 = 860)
                Spc3 = X1 = 360 mm
                Spc4=(X1+Y1)/4 = 305 mm
 
SFR Design
  
Beam Width = 400 mm
Beam Depth = 900 mm
Torsion = 61.05 > 0 kNm
Beam Depth >750 Or Torsion > 0,
Hence SFR Provided
Asr = 360 sqmm
SFR Provided = 2-T12EF
ASFR Provided = 452.4 sqmm
  
Spacing Criteria
           
Provided Spacing = 231.3 mm
1.<= beam Width = 400 mm
2. Not Greater Than = 300 mm