Tables appendixEverything you need next to the exercise
All the tables of the route — on one page, to print and put in the binder. The values — the ones BST uses.
How to use each table — on the page of its step in the binder.
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01
Equivalent span — L0 = c · L
The coefficients follow the order of the spans in the drawing · orange = cantilever · cantilever on the other side — the same coefficients in reverse order Scheme Drawing c 2 supports 1 3 supports 0.8 · 0.8 4 supports 0.8 · 0.6 · 0.8 2 supports + cantilever (cantilever on the right) 0.9 · 2.2 Cantilever + 2 supports (cantilever on the left) 2.2 · 0.9 Cantilever + 2 supports + cantilever 2.2 · 0.8 · 2.2 Cantilever + 3 supports (cantilever on the left) 2.2 · 0.7 · 0.8 -
02
Transfer coefficients — load transfer to the beams
For each span: left|right — the share that goes to the beam on each side · cantilever: 1 — everything to the beam at the root Scheme Drawing Coefficients 2 supports 0.5|0.5 3 supports 0.4|0.6 · 0.6|0.4 4 supports 0.4|0.6 · 0.5|0.5 · 0.6|0.4 2 supports + cantilever (cantilever on the right) 0.4|0.6 · 1 Cantilever + 2 supports (cantilever on the left) 1 · 0.6|0.4 Cantilever + 2 supports + cantilever 1 · 0.5|0.5 · 1 Cantilever + 3 supports (cantilever on the left) 1 · 0.5|0.5 · 0.6|0.4 -
03
K13 — aggregate and concrete
K₁₃ Aggregate B20 B30 B40 B50 Limestone 0.97 1 1.02 1.05 Dolomite 1.01 1.04 1.07 1.09 -
04
K11 — ribbed slab
One-way solid slab: K11 = 1. Beam with a rectangular section: K11 = 1. Ribbed slab — from the table:
Row: h/tf · column: bf/bw · round to the nearest row and column, no interpolation h/tf 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 1.0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.1 0.981 0.981 0.980 0.980 0.980 0.979 0.979 0.978 0.978 0.978 0.977 0.977 0.976 0.976 0.976 0.975 0.975 0.974 0.974 0.974 1.2 0.962 0.961 0.961 0.960 0.959 0.958 0.958 0.957 0.956 0.955 0.955 0.954 0.954 0.953 0.952 0.951 0.950 0.949 0.948 0.947 1.3 0.943 0.942 0.941 0.940 0.938 0.937 0.936 0.935 0.934 0.933 0.932 0.930 0.929 0.928 0.927 0.926 0.925 0.923 0.922 0.921 1.4 0.924 0.923 0.921 0.920 0.918 0.917 0.915 0.914 0.912 0.910 0.909 0.907 0.906 0.904 0.903 0.901 0.899 0.898 0.896 0.895 1.5 0.906 0.904 0.902 0.900 0.898 0.896 0.894 0.892 0.890 0.888 0.885 0.884 0.882 0.880 0.878 0.876 0.874 0.872 0.870 0.869 1.6 0.887 0.884 0.882 0.880 0.877 0.875 0.873 0.870 0.868 0.866 0.863 0.861 0.859 0.856 0.854 0.852 0.849 0.847 0.845 0.842 1.7 0.868 0.865 0.862 0.860 0.857 0.854 0.851 0.849 0.846 0.843 0.840 0.838 0.835 0.832 0.830 0.827 0.824 0.821 0.819 0.816 1.8 0.849 0.846 0.843 0.840 0.836 0.833 0.830 0.827 0.824 0.821 0.818 0.815 0.811 0.808 0.805 0.802 0.799 0.796 0.793 0.790 1.9 0.830 0.826 0.823 0.819 0.816 0.812 0.809 0.805 0.802 0.798 0.795 0.791 0.788 0.784 0.781 0.777 0.774 0.770 0.767 0.763 2.0 0.811 0.807 0.803 0.799 0.796 0.792 0.788 0.784 0.780 0.776 0.772 0.768 0.764 0.760 0.757 0.753 0.749 0.745 0.741 0.737 2.2 0.810 0.807 0.803 0.799 0.795 0.791 0.787 0.783 0.779 0.775 0.771 0.767 0.763 0.760 0.756 0.752 0.748 0.744 0.740 0.736 2.4 0.809 0.805 0.801 0.797 0.794 0.790 0.786 0.782 0.778 0.774 0.770 0.767 0.763 0.759 0.755 0.751 0.747 0.743 0.739 0.735 2.6 0.808 0.804 0.800 0.796 0.793 0.789 0.785 0.781 0.777 0.774 0.769 0.766 0.762 0.758 0.754 0.750 0.746 0.742 0.738 0.734 2.8 0.808 0.804 0.800 0.797 0.793 0.789 0.785 0.781 0.777 0.773 0.769 0.765 0.761 0.757 0.753 0.749 0.745 0.741 0.737 0.733 3.0 0.808 0.804 0.800 0.796 0.792 0.788 0.784 0.780 0.776 0.772 0.768 0.764 0.760 0.756 0.752 0.748 0.744 0.740 0.736 0.732 3.2 0.807 0.803 0.799 0.795 0.791 0.787 0.783 0.779 0.775 0.771 0.767 0.763 0.759 0.755 0.751 0.747 0.743 0.739 0.735 0.731 3.4 0.806 0.802 0.798 0.794 0.790 0.786 0.782 0.778 0.774 0.770 0.766 0.762 0.758 0.754 0.750 0.746 0.742 0.738 0.734 0.730 3.6 0.806 0.802 0.798 0.794 0.790 0.785 0.781 0.777 0.773 0.769 0.765 0.761 0.757 0.753 0.749 0.745 0.741 0.737 0.733 0.729 3.8 0.805 0.801 0.797 0.793 0.789 0.785 0.781 0.777 0.773 0.769 0.764 0.760 0.756 0.752 0.748 0.744 0.740 0.736 0.732 0.728 4.0 0.804 0.800 0.796 0.792 0.788 0.784 0.780 0.776 0.772 0.768 0.764 0.760 0.755 0.751 0.747 0.743 0.739 0.735 0.731 0.727 4.2 0.804 0.800 0.795 0.791 0.787 0.783 0.779 0.775 0.771 0.767 0.763 0.759 0.755 0.751 0.746 0.742 0.738 0.734 0.731 0.726 4.4 0.803 0.799 0.795 0.791 0.787 0.782 0.778 0.774 0.770 0.766 0.762 0.758 0.754 0.750 0.746 0.741 0.737 0.733 0.729 0.725 4.6 0.802 0.798 0.794 0.790 0.786 0.782 0.778 0.773 0.769 0.765 0.761 0.757 0.753 0.749 0.745 0.740 0.736 0.732 0.728 0.724 4.8 0.802 0.797 0.793 0.789 0.785 0.781 0.777 0.773 0.768 0.764 0.760 0.756 0.752 0.748 0.744 0.740 0.735 0.731 0.727 0.723 5.0 0.801 0.797 0.793 0.788 0.784 0.780 0.776 0.772 0.768 0.764 0.759 0.755 0.751 0.747 0.743 0.739 0.734 0.730 0.726 0.722 5.2 0.800 0.796 0.791 0.787 0.783 0.779 0.775 0.771 0.767 0.763 0.758 0.754 0.749 0.745 0.741 0.737 0.733 0.729 0.725 0.721 5.4 0.799 0.794 0.790 0.786 0.782 0.778 0.774 0.770 0.766 0.762 0.758 0.754 0.749 0.745 0.741 0.737 0.733 0.729 0.725 0.721 5.6 0.797 0.793 0.789 0.785 0.781 0.777 0.773 0.769 0.765 0.761 0.757 0.752 0.748 0.744 0.740 0.736 0.732 0.728 0.724 0.720 5.8 0.796 0.792 0.788 0.784 0.780 0.776 0.772 0.768 0.764 0.760 0.757 0.752 0.748 0.744 0.740 0.736 0.732 0.728 0.724 0.720 6.0 0.795 0.791 0.787 0.783 0.779 0.775 0.771 0.767 0.763 0.759 0.755 0.751 0.747 0.743 0.739 0.735 0.731 0.727 0.723 0.719 6.2 0.794 0.790 0.786 0.782 0.778 0.774 0.770 0.766 0.762 0.758 0.754 0.750 0.746 0.742 0.738 0.734 0.730 0.726 0.722 0.718 6.4 0.793 0.789 0.785 0.781 0.777 0.773 0.769 0.765 0.761 0.757 0.753 0.749 0.745 0.741 0.738 0.734 0.730 0.726 0.722 0.718 6.6 0.791 0.788 0.784 0.780 0.776 0.772 0.768 0.764 0.760 0.756 0.752 0.748 0.744 0.741 0.737 0.733 0.729 0.725 0.721 0.717 6.8 0.790 0.786 0.783 0.779 0.775 0.771 0.767 0.763 0.759 0.755 0.752 0.748 0.744 0.740 0.736 0.732 0.728 0.724 0.720 0.717 7.0 0.789 0.785 0.781 0.777 0.773 0.769 0.765 0.761 0.757 0.753 0.749 0.745 0.741 0.737 0.733 0.729 0.725 0.721 0.717 0.713 7.2 0.788 0.784 0.780 0.776 0.772 0.768 0.764 0.760 0.756 0.752 0.747 0.744 0.740 0.736 0.732 0.728 0.724 0.720 0.716 0.712 7.4 0.787 0.783 0.779 0.775 0.771 0.767 0.763 0.759 0.755 0.751 0.747 0.743 0.739 0.735 0.731 0.727 0.723 0.719 0.715 0.711 7.6 0.786 0.782 0.778 0.774 0.770 0.766 0.762 0.758 0.754 0.750 0.746 0.742 0.738 0.734 0.730 0.726 0.722 0.718 0.714 0.710 7.8 0.785 0.781 0.777 0.773 0.769 0.765 0.761 0.757 0.753 0.749 0.745 0.741 0.737 0.733 0.729 0.725 0.721 0.717 0.713 0.709 8.0 0.784 0.780 0.776 0.772 0.768 0.764 0.760 0.756 0.752 0.748 0.744 0.740 0.736 0.732 0.728 0.724 0.720 0.716 0.712 0.708 8.2 0.783 0.779 0.775 0.771 0.767 0.763 0.759 0.755 0.751 0.747 0.743 0.739 0.735 0.731 0.727 0.723 0.719 0.715 0.711 0.707 8.4 0.782 0.778 0.774 0.770 0.766 0.762 0.758 0.754 0.750 0.746 0.742 0.738 0.734 0.730 0.726 0.722 0.718 0.714 0.710 0.706 8.6 0.780 0.777 0.773 0.769 0.765 0.761 0.757 0.753 0.749 0.745 0.741 0.737 0.733 0.729 0.725 0.721 0.717 0.713 0.709 0.705 8.8 0.779 0.775 0.771 0.768 0.764 0.760 0.756 0.752 0.748 0.744 0.740 0.736 0.732 0.728 0.724 0.720 0.716 0.712 0.708 0.704 9.0 0.778 0.774 0.770 0.766 0.763 0.759 0.755 0.751 0.747 0.743 0.739 0.735 0.731 0.727 0.723 0.719 0.715 0.711 0.707 0.703 9.2 0.777 0.773 0.769 0.765 0.761 0.757 0.754 0.750 0.746 0.742 0.738 0.734 0.730 0.726 0.722 0.718 0.714 0.710 0.706 0.702 9.4 0.776 0.772 0.768 0.764 0.760 0.756 0.752 0.749 0.745 0.741 0.737 0.733 0.729 0.725 0.721 0.717 0.713 0.709 0.705 0.701 9.6 0.775 0.771 0.767 0.763 0.759 0.755 0.751 0.747 0.744 0.740 0.736 0.732 0.728 0.724 0.720 0.716 0.712 0.708 0.704 0.700 9.8 0.774 0.770 0.766 0.762 0.758 0.754 0.750 0.746 0.742 0.739 0.735 0.731 0.727 0.723 0.719 0.715 0.711 0.707 0.703 0.699 10.0 0.773 0.769 0.765 0.761 0.757 0.753 0.749 0.745 0.741 0.738 0.734 0.730 0.726 0.722 0.718 0.714 0.710 0.706 0.702 0.698 -
05
Moments and reactions by scheme
F = Fd,max (ribbed — per rib), L in metres Scheme Reactions Over a support (−) In the span (+) 2 supports R = 0.5·F·L — 0.125·F·L² 3 supports, equal (0.375 | 1.25 | 0.375) · F·L −0.125·F·L² 0.07·F·L² 4 supports, equal (0.4 | 1.1 | 1.1 | 0.4) · F·L −0.1·F·L² 0.08·F·L² · middle 0.025·F·L² 3 supports, unequal 0.4·F·L₁ | 0.6·F·(L₁+L₂) | 0.4·F·L₂ −F·(L₁+L₂)²/36 F·L₁²/11 · F·L₂²/11 4 supports, unequal 0.4·F·L₁ | F(0.6L₁+0.5L₂) | F(0.5L₂+0.6L₃) | 0.4·F·L₃ −F·(L₁+L₂)²/36 · −F·(L₂+L₃)²/36 F·L₁²/11 · F·L₂²/15 · F·L₃²/11 Cantilever (Lz) — −0.5·F·Lz² — -
06
Bar table — solid slab
Reinforcement area per 1 m width (cm²/m) — diameter (mm) × spacing (cm), maximum spacing 25 Φ @7 @8 @9 @10 @11 @12 @13 @14 @15 @16 @17 @18 @19 @20 @21 @22 @23 @24 @25 8 7.18 6.28 5.59 5.03 4.57 4.19 3.87 3.59 3.35 3.14 2.96 2.79 2.65 2.51 2.39 2.28 2.18 2.09 2.01 10 11.22 9.82 8.73 7.85 7.14 6.54 6.04 5.61 5.24 4.91 4.62 4.36 4.13 3.93 3.74 3.57 3.41 3.27 3.14 12 16.16 14.14 12.57 11.31 10.28 9.42 8.70 8.08 7.54 7.07 6.65 6.28 5.95 5.65 5.38 5.14 4.91 4.71 4.52 14 21.99 19.24 17.10 15.39 13.99 12.83 11.84 11.00 10.26 9.62 9.05 8.55 8.10 7.69 7.33 6.99 6.69 6.41 6.15 16 28.73 25.14 22.34 20.11 18.28 16.76 15.47 14.36 13.41 12.57 11.83 11.17 10.58 10.05 9.55 9.12 8.72 8.36 8.03 18 36.36 31.81 28.28 25.45 23.14 21.21 19.57 18.18 16.97 15.90 14.97 14.14 13.39 12.72 12.11 11.56 11.06 10.60 10.17 20 44.87 39.26 34.90 31.41 28.55 26.17 24.16 22.44 20.94 19.64 18.48 17.46 16.54 15.72 14.96 14.28 13.66 13.09 12.57 22 54.28 47.50 42.22 38.00 34.55 31.67 29.23 27.14 25.33 23.76 22.35 21.11 20.00 19.00 18.09 17.27 16.52 15.83 15.20 -
07
Bar table — ribbed slab
Reinforcement area per rib (cm²) — diameter (mm) × number of bars, at least 2 per rib Φ 2 3 4 5 6 7 8 9 10 8 1.01 1.51 2.01 2.51 3.02 3.52 4.02 4.52 5.03 10 1.57 2.36 3.14 3.93 4.71 5.50 6.28 7.07 7.85 12 2.26 3.39 4.52 5.65 6.79 7.92 9.05 10.18 11.31 14 3.08 4.62 6.16 7.70 9.24 10.78 12.32 13.85 15.39 16 4.02 6.03 8.04 10.05 12.06 14.07 16.08 18.10 20.11 18 5.09 7.63 10.18 12.72 15.27 17.81 20.36 22.90 25.45 20 6.28 9.42 12.57 15.71 18.85 21.99 25.13 28.27 31.42 22 7.60 11.40 15.21 19.01 22.81 26.61 30.41 34.21 38.01 24 9.05 13.57 18.10 22.62 27.14 31.67 36.19 40.72 45.24 25 9.82 14.73 19.63 24.54 29.45 34.36 39.27 44.18 49.09 -
08
Material data
B30 B40 B50 fcd 13 17.4 21.7 ρ (As,min) 0.0013 0.00157 0.0018 Steel: fsd = 4350 (P500) — and in booklets that use 10⁴: 435. Concrete weight 2.5 t/m³, block 0.5 t/m³.
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