Project                                                                                Job Ref.
Section                                                                                Sheet no./rev.
                                                                                                                           1
                                    Calc. by               Date                  Chk'd by           Date                   App'd by         Date
                                    D                      8/20/2017
RC TWO-WAY SLAB DESIGN (ACI318-11)
                                                                                                                             TEDDS calculation version 1.2.01
                                                                       lx                                              x
                                                                                                      Column strip
                                                                                                     Middle strip
                               ly
                                                                                                       Column strip
                                           Column strip          Middle strip      Column strip
                                                           TWO-WAY SLAB PANEL
                                                                                                                                147 mm
              175 mm
                              250 mm
                                                  Section at middle strip along X axis
Slab definition
Slab thickness;                                            h = 175 mm
Span along x  dir;                                        lx = 6000 mm
Span along y  dir;                                        ly = 3000 mm
                                                                    Long span to short span ratio less than 2, hence two-way slab
Clear cover to positive reinforcement;                     cc = 20 mm
Clear cover to negative reinforcement;                     cc = 20 mm
Effective flanged beam section
Flange width;                                              bf = 1000 mm
Beam depth;                                                hb = 650 mm
Beam width;                                                bw = 450 mm
Materials
Specified compressive strength of concrete;                fc = 28 MPa
Specified yield strength of reinforcement;                 fy = 415 MPa
Modulus of elasticity;                                     ESACI = 199948MPa
Concrete type;                                             Normal weight
                                        Project                                                               Job Ref.
                                        Section                                                               Sheet no./rev.
                                                                                                               2
                                        Calc. by       Date                Chk'd by          Date             App'd by         Date
                                        D              8/20/2017
Concrete modification factor;                            = 1.00
Loads
Total factored ultimate load on slab;                   wu = 15.00 kN/m2
Check for the depth of slab provided
Clear span x  dir (13.6.2.5);                          lnx = max(0.65  lx, (lx - bw / 2 - bw / 2)) = 5550 mm
Clear span y  dir (13.6.2.5);                          lny = max(0.65  ly, (ly - bw / 2 - bw / 2)) = 2550 mm
Ratio;                                                   = max(lnx, lny) / min(lnx, lny) = 2.176
Moment of inertia of beam;                              Ib = 14628994381 mm4
Moment of inertia of slab along x  axis;               Isx = 1339843750 mm4
Moment of inertia of slab along y  axis;               Isy = 2679687500 mm4
Flexural stiffness ratio along x  axis;                fx = Ib / Isx = 10.918
Flexural stiffness ratio along y  axis;                fy = Ib / Isy = 5.459
Average flexural stiffness ratio;                       fm = (fx  2 + fy  2) / 4 = 8.189
Minimum depth required (9.5.3);                         hmin = 110 mm
                                                                    PASS - slab thickness provided is sufficient for deflection
Moment computation (x  direction)
Width of column strip (half) (13.2.1);                  lcol_stp = min(0.25  lx, 0.25  ly) = 750 mm
Width of middle strip (13.2.2);                         lmid_stp_x = ly - 2  lcol_stp = 1500 mm
Factored moment (Eqn 13-4);                             Mox = wu  ly  lnx2 / 8 = 173.26 kNm
Moment distribution for interior panel (13.6.3.2);      Mux = 0.65  Mox = 112.62 kNm
                                                        Mux = 0.35  Mox = 60.64 kNm
Moment distribution in column and middle strips
                                                        ly / lx = 0.50
                                                        fx  ly / lx = 5.46
Moment distribution factors;                            fx_neg = 0.90
                                                        fx_pos = 0.90
Total column strip design moments;                      Mx_col_stp = fx_neg  Mux = 101.36 kNm
                                                        Mx_col_stp = fx_pos  Mux = 54.58 kNm
Column strip beam moments;                              Mx_beam = 86.16 kNm
                                                        Mx_beam = 46.39 kNm
Column strip slab moments;                              Mx_slab = Mx_col_stp - Mx_beam = 15.20 kNm
                                                        Mx_slab = Mx_col_stp - Mx_beam = 8.19 kNm
Total middle strip design moments;                      Mx_mid_stp = (1 - fx_neg)  Mux = 11.26 kNm
                                                     Mx_mid_stp = (1 - fx_pos)  Mux = 6.06 kNm
Required flexural nominal strength in column strip per 1 m width of slab
                                                        Mnx_col = Mx_slab / (0.9  (2  lcol_stp - bf)) = 33.79 kNm/m
                                                     Mnx_col = Mx_slab / (0.9  (2  lcol_stp - bf)) = 18.19 kNm/m
Required flexural nominal strength in middle strip per 1 m width of slab
                                                        Mnx_mid = Mx_mid_stp / (0.9  lmid_stp_x) = 8.34 kNm/m
                                                        Mnx_mid = Mx_mid_stp / (0.9  lmid_stp_x) = 4.49 kNm/m
Moment computation (y  direction)
Width of column strip (half) (13.2.1);                  lcol_stp = min(0.25  lx, 0.25  ly) = 750 mm
Width of middle strip (13.2.2);                         lmid_stp_y = lx - 2  lcol_stp = 4500 mm
Factored moment (Eqn 13-4);                             Moy = wu  lx  lny2 / 8 = 73.15 kNm