Apply the moment-distribution method to determine the moment at each joint of the parabolic haunched frame. Supports
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2 ft 1.5 k/ft 4 ft 5 ft B 8 ft- –12 ft - 2 ft | 40 ft- 40 ft TABLE 13-2 Parabolic Haunches-Constant Width Note: All carry-over factors are negative and all stiffness factors are positive. Concentrated Load FEM-Coef. x PL Haunch Load at ь Left Right Unif. Load FEM FEM Right Haunch Carry-over Factors Coef x waL? Coef x wal? Stiffness FEM Coef x wL? 0.1 0.3 0.5 0.7 0.9 Factors CAB СвA KAB MAB MBA МAв MBA МАв Maa Мав Mea Мав Msa МАв МвA MAB Мал МAв MBA aA - 0.2 a- variable A- 1.0 - variable 0.4 | 0.558 0.6 0.582 0.0033 0.1891 0.0502 0.1572 0.1261 0.0715 0.1618 0.0073 0.0877 0.0032 0.0001| 0.0002 0.0030 0.0001| 0.0002 0.0031 0.0032 0.0001 0.0001 0.0032 0.627 6.08 5.40 0.1022 0.0841 0.0938 0.0036| 0.1872 0.0038 0.1844 0.0535 0.1527 0.1339 0.0663 0.17080.0058 0.0902 0.0584 0.1459 0.1459 0.0584 0.18440.0038 0.0935 0.624 6.21 5.80 0.0995 0.0887 0.0936 0.0032 0.2 1.0 0.619 0.619 6.41 6.41 0.0956 0.0956 0.0935 1.5 0.649 0.0041| 0.1819 0.0628 0.1399 0.1563 0.0518 0.1962 0.0025 0.0958 0.0032 0.0001| 0.0001 0.0032 0.0044 0.1801 0.614 6.59 6.97 0.0921 0.1015 0.0933 2.0 0.671 0.611 6.71 7.38 0.0899 0.1056 0.0932 0.0660 0.138 0.1638 0.0472 0.2042 0.0017 0.0971 0.0032 0.0001 0.0000 0.0033 0.4 0.588 0,616 6.22 5.93 0.1002 0.0877 0.0937 0.0035 0.1873 0.0537 0.1532 0.1339 0.0678 0.1686 0.0073 0.0877 0.0032 0.0001 | 0.0007 0.0063 0.6 0.625 0.0942 0.0039 0.1845 0.0587 0.1467 0.1455 0.0609 0.18Os 0.0057 0.0902 0.0032 0.0001| 0.0005 0.0065 0.0044| 0.1801 0.0669 0.1365 0.1643 0.0502 0.2000 0.0037 0.0936 0.0050 0.1760 0.0746 0.1272 0.1819 0.0410 0.2170 0.0023 0.0959 0.609 6.41 6.58 0.0966 0.0935 1.0 0.683 0.0031 0.0031 0.0001 0.0003 0.0070 0.3 0.598 6.73 7.68 0.0911 0.1042 0.0932 0.0001 0.0004 0.0068 1.5 0.735 0.589 7.02 8.76 0.0862 0.1133 0.0929 2.0 0.772 0.582 7.25 9.61 O.O827 0.1198 0.0927 0.0054 0.1730 0.0805 0.1203 0.1951 0.0345 0.2293 0.0016 0.0972 0.0031 0.0001 0.0002 0.0072 a- variable A- 1.0 - variable 0.4 0.488 0.6 | 0515 0.803 10.10 1.0 0.547 1.5 0.571 0.807 9.85 5.97 0.0034 0.2131 0.0371 0.2021 0.1061 0.0979 0.1506 0.0105 0.0863 0.0171 0.0017| 0.0003 0.0030 0.0036 0.2110 0.0404 0.19690.1136 0.0917 0.1600 0.0083 0.0892 0.0170 0.0018 0.0002 0.0030 0.0168 0.0020 0.0001 0.0031 0.1214 0.0753 0.0929 6.45 0.1183 0.0795 0.0928 0.0926 0.0040 0.2079 0.0448 0.1890 0.1245 0.0809 0.1740 0.0056 0.0928 0.0485 0.1818 0.1344 0.0719 0.1862 0.0035 0.0951 0.2 0.796 10.51 7.22 0.1138 0.0865 0.786 10.90 7.90 0.1093 0.0922 0.0923 0.0043 0.2055 0.0167 0.0021 | 0.0001 0.0032 2.0 0.590 0.784 11.17 8.40 0.1063 0.0961 0.0922 0.0046 0.2041 0.0506 0.1764 0.1417 0.0661 0.1948 0.0025 0.0968 0.0166 0.0022 0.0001 0.0032 0.0040 0.2087 0.0046 0.2045 0.4| 0.554 0.0442 0.1924 0.1205 0.0898 0.15950.0107 0.0853 0.0169 0.0020| 0.0042 0.0022 0.0036 0.0152 0.0028 0.0028 0.0164 0.753 10.42 7.66 0.1170 0.0811 0.0926 0.0145 0.6 0.606 0.730 10.96 9.12 0.1115 0.0889 0.0922 0.0506 0.1820 0.1360 0.0791 0.1738 0.0086 0.0878 0.0167 0.5 1.0 0.694 0.694 12.03 12.03 0.1025 0.1025 0.0915 0.0057| 0.1970 0.0626 0.1639 0.1639 0.0626 0.19700.0057 0.0915 0.0164 0.0759 0.1456 0.1939 0.0479 0.21870.0039 0.0940 0.2193 0.0376 0.2348 0.0027 0.0957 1.5 0.781 0.664 13.12 15.47 0.0937 0.1163 0.0908 0.0070| 0.1891 0.0160 0.0034 | 0.00021 0.0174 2.0 0.850 0.642 14.09 18.64 0.0870 0.1275 0.0901 0.0082 0.1825 0.0877 0.1307 0.0157 0.0039| 0.00016 0.0181
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The necessary data for member BC can be found from Table 132 Here a C 8 40 02 a B 12 40 03 r C 4 2 ...View the full answer
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