BEAM DESIGN CALCULATION
Project Name : Sample
Client Name : Sample
Engineer Name : Sample
Analysis File : D:\Bentley\000 RCDC 2010\10.0.0\Standard model for Demo\Staad\RCDC-Staad-Demo -with RCC wall.std
Analysis Last Modified : 6/16/2020 4:07:28 PM
Level Designed : 7.858 m
 
Sr.No. Symbol Definitions
1 α = Angle formed with horizontal line along length of Beam
2 Ach = Cross sectional area of structural member measures to the outside edge of transverse reinforcement in 'sqmm'
3 Ag = Cross sectional area of concrete in 'sqmm'
4 Ash = Total cross sectional area transverse reinforcement (including cross ties) within spacing S in 'sqmm'
5 Avd = Area of diagonal reinforcement in coupler beam in 'sqmm'
6 As = Area of Tension reinforcement required in 'sqmm'
7 As,min = Minimum area of flexural reinforcement in 'sqmm'
8 As,nominal = Nominal area of reinforcement in 'sqmm'
9 Al = Area of longitudinal reinforcement required to resist torsion in 'sqmm'
10 Al,face = Area of longitudinal reinforcement required on each face to resist torsion in 'sqmm'
11 At Torsion = Area of closed stirrups resisting torsion in 'sqmm'
12 AstPrv = Area of longitudinal reinforcement provided at given section in 'sqmm'
13 Av = Area of shear reinforcement required per meter length in 'sqmm'
14 Av,min = Minimum area of shear reinforcement in as per clause 11.4.6.1 in 'sqmm'
15 Al,min = Minimum area of longitudinal torsional reinforcement as per clause 11.5.5.3 in 'sqmm'
16 Av Total Reqd = Total area of shear reinforcement required, including that for torsion in 'sqmm'
17 Av Total Prv = Total area of shear reinforcement provided, including that for torsion in 'sqmm'
18 Ao = Gross area enclosed by shear flow path in 'sqmm'
19 Aoh = Area enclosed by centerline of the outermost closed transverse torsional reinforcement as per clause 11.5.3.1 in 'sqmm'
20 Ast = Total area of longitudinal reinforcement calculated at a given section in 'sqmm'
21 Asr = Area of Skin reinforcement calculated for given section in 'sqmm'
22 Asc = Area of Compression reinforcement required for doubly reinforced section or if torsion exists in 'sqmm'
23 b = Width of the Beam in 'mm'
24 bw = Width of Web ( For flanged Beam ) in 'mm'
25 b' = C/C distance between longitudinal reinforcement along B in 'mm'
26 bc = Oustside dimension of transverse reinforcement in 'mm'
27 Cc = Effective Cover to tension reinforcement in 'mm'
28 Cmin = Clear cover in 'mm'
29 c' = Effective cover to reinforcement at compression face in 'mm'
30 d = Effective depth of Beam in 'mm'
31 d' = C/C distance between longitudinal reinforcement along D in 'mm'
32 D = Depth of Beam in 'mm'
33 Es = Modulus of elasticity of steel in 'N/sqmm'
34 f'c = Specified compressive strength of concrete in cylinder in 'N/sqmm'
35 fs = Calculated tensile stress in reinforcement at service loads, 'N/sqmm'
36 Hf = Thickness of Flange in 'mm'
37 hx = Maximum C/C horizontal spacing of hoops legs on all faces in 'mm'
38 Icr = Moment Of Inertia Of concrete crack section
39 l = Effective Length Of Beam (Clear Span) in 'mm'
40 Legs = Number Of legs Of the shear reinforcement
41 Mcr = Cracking Moment
42 Mpr1 = Hogging moments Of resistance Of member at the joint faces in 'kNm'
43 Mpr2 = Sagging moments Of resistance Of member at the joint faces in 'kNm'
44 Mu = Factored Bending Moment at a section in 'kNm'
45 Mubal = Nominal flexural strength Of Singly Reinforced Section At Balance Neutral Axis in 'kNm'
46 Ptmin = Minimum percentage steel As per clause 10.5
47 PtPrv = Provided percentage steel
48 Stirrup = Bar mark representing shear stirrup
49 S = spacing Of confining links in 'mm'
50 SCalc = Stirrup spacing calculated As per Asv in 'mm'
51 Sprv = Stirrup spacing provided in 'mm'
52 Tcr = Cracking torque under pure Torsion in 'kNm'
53 Tu = Factored Torsional Moment at a section in 'kNm'
54 Ve = Earthquake induced shear in 'kNm'
55 φVc = Reduced Shear strength provided by concrete in 'kN'
56 Vu = Factored Shear Force at a section in 'kN'
57 Vu-A1(sway Left) = VD+Lleft - (Mpr1left + Mpr2right / L ) in 'kN'
58 Vu-A2(sway Left) = VD+Lleft + (Mpr2left + Mpr1right / L ) in 'kN'
59 Vu-B1(sway Right) = VDLRight - (Mpr1left + Mpr2right / L ) in 'kN'
60 Vu-B2(sway Right) = VDLRight + (Mpr2left + Mpr1right / L ) in 'kN'
61 Vud = Design Shear Force in 'kN'
62 Vs = Nominal shear strength provided by shear reinforcement in 'kN'
63 Vu sway = Max (Vu-A1,Vu-A2) & (Vu-B1,Vu-B2) in 'kN'
64 y = Neutral axis depth.
65 Φ = Strength reduction factor
 
All Forces are in 'kN', 'kNm', Stress in 'N/sqmm' & Dimension are in 'mm'.
 
Code References
ACI 318M - 2014
Sr.No. Item Clause / Table
1. Ptmax : 7.3.3.1, 8.3.3.1, 9.3.3.1
2. As,min (flex) (B) : 9.6.1.1, 9.6.1.2
3. As,min : 9.6.1.3
4. Vc : 22.5
5. Asv : 22.5.10.5 & 22.6.7
6. Min Shear Reinf : 9.6.3.1
7. Max Stirrup Spacing : 9.7.62
8. Shear Reinf - Torsion : 22.7.3.1
9. Side Face Reinforcement : 9.7.2.3
10. Tcr : 9.5.4.1
11. fs,perm : 10.6.4
12. fc,perm : 10.2.7.1
13. Wcr : Eq 4.2(a)
                                
ACI 318M - 2014 Chapter 21
Sr.No. Item Clause / Table
1. Ptmin : 18.6.3.1
2. Asmin : 18.6.3.1
3. Sclc : 18.6.4.1 & 18.6.4.4

Group : G8
Beam No : B22
Analysis Reference (Member) 7.858 m : 5060
Beam Length : 5870 mm
Breadth (B) : 230 mm
Depth (D) : 750 mm
Effective Depth (d) : 680 mm
Design Code : ACI 318M - 2014
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C20 N/sqmm
Grade Of Steel : Fy420 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 538.66 kNm
As,min (flex) (B) : 521.33 sqmm
As,nominal (Bn) : 203.32 sqmm
As,min(user input)(B') : 203.32 sqmm
 
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - RCDC 4 2 2 5 - 4
Mu (kNm) 49.71 198.64 87.77 121.06 - 46.83
As (flex) (sqmm) (C) 196.44 826.78 351.22 489.96 - 184.89
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 1.19 1.74 1.74 1.7 - 1.19
Tcr/4 (kNm) 4.23 4.23 4.23 4.23 - 4.23
Al, min(sqmm)(Tor.) (D) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 261.27 826.78 467.12 521.33 203.32 245.91
AstCrack (sqmm) 261.27 1718.81 490.47 665.37 0 245.91
AstPrv (sqmm) 1013.42 2026.84 1013.42 1013.42 253.36 253.36
Reinforcement Provided 2-#25 2-#25
2-#25
2-#25 2-#25 2-#13 2-#13
 
Note: Calculation of Ast
  
Ast = Max {B, C+D, A+D} (for Mu > 0 and C x 1.33 > B)
Ast = Max{B', C x 1.33 + D, A+D} (for Mu > 0 and C x 1.33 < B)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) = Compression reinforcement required for bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) = Total area of longitudinal reinforcement calculated at a given section
D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered
Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
 
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 2 1 2
PtPrv (%) 0.648 1.296 0.162
Vu (kN) 175.34 68.06 151.26
Mu-Sect (kNm) 116.02 121.87 45.36
Φ Vc (kN) 96.85 93.75 87.16
Vs (kN) 104.65 - 85.46
Av (sqmm/m) 366.4 191.67 299.22
Tu (kNm) 1.74 1.1 1.74
Aoh (sqmm) - - -
At (sqmm/m) - - -
Legs 2 2 2
Stirrup Rebar 10 10 10
At Torsion (sqmm/m) 0 0 0
Av Total Reqd (sqmm/m) 366.4 191.67 299.22
Asv Reqd (sqmm/m) 366.4 191.67 299.22
SCalc (mm) 210 210 210
SPrv (mm) 210 210 210
Av Total Prv (sqmm/m) 675.05 675.05 675.05
 
Maximum Spacing Criteria
    
       Basic                               
                Spc1 = 340 mm
                Spc2 = 300 mm
       For Torsion                                 
                (X1 = 159.5, Y1 = 679.5)
                Spc3 = 300 mm
                Spc4=(X1+Y1)/4 = 210 mm
 
Skin reinforcement
  
Beam Width = 230 mm
Beam Depth = 750 mm
Depth = 750 <= 900,    Hence Skin Reinforcement is not required.
Crack width as per ACI -224R-01
  Beam Bottom Beam Top
  Left Mid Right Left Mid Right
Critical L/C - RCDC 10002 10002 10002 10002 - 10002
BM (Unfactored) (kNm) 31.34 152.68 67.97 89.61 0 34.66
Reinf. In 1st layer 2-#25 2-#25 2-#25 2-#25   2-#13
sp (mm) 124.6 124.6 124.6 124.6   137.3
AstPrv (sqmm) 1013.42 2026.84 1013.42 1013.42   253.36
y () 200.51 264.1 200.51 200.51   109.37
Icr (mm4) 2835037440.5 4748161591.79 2835037440.5 2835037440.5   885290547.42
dc (mm) 52.7 52.7 52.7 52.7   46.35
Check for Stress in Concrete            
fc (N/sqmm) 2.22 8.49 4.81 6.34   4.28
fc,perm (N/sqmm) 9 9 9 9   9
Check for Stress in Reinforcement            
Fst (N/sqmm) 50.43 127.25 109.38 144.2   212.59
fs,perm (N/sqmm) 280 280 280 280   280
Crack Width Check            
Wcr (mm) 0.0472 0.1213 0.1023 0.1348   0.1977
WcrPerm(mm) 0.2 0.2 0.2 0.2   0.2
 

Stress Limit Check as per ACI 224R-01
  Beam Bottom Beam Top
  Left Mid Right Left Mid Right
Critical L/C - RCDC 10002 10002 10002 10002 - 10002
BM (Unfactored) (kNm) 31.34 152.68 67.97 89.61 0 34.66
Reinf. In 1st layer 2-#25 2-#25 2-#25 2-#25   2-#13
sp (mm) 124.6 124.6 124.6 124.6   137.3
AstPrv (sqmm) 1013.42 2026.84 1013.42 1013.42   253.36
Check for Stress in Concrete            
fc (N/sqmm) 2.22 8.49 4.81 6.34   4.28
fc,Perm (N/sqmm) 9 9 9 9   9
Check for Stress in Reinforcement            
Fst (N/sqmm) 50.43 127.25 109.38 144.2   212.59
fs,perm(N/sqmm) 280 280 280 280   280