Determine the moments at A, B, and C by the moment-distribution method. Assume the supports at A
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8k/ft B 4' ft 4 ft 1 4 ft 2 ft 46 ft- |-6 ft4 4 ft 20 ft 4 ft -20 ft TABLE 13-1 Straight 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 wl? Coef x wal? Stiffness FEM Coef. X wl? 0.1 0.3 0.5 0.7 0.9 Factors CAB СвА kAB kBA Мав MBA MAB MBA MAs Мая МАв MBA MAB MBA Mas MBA МАв MBa MAB MBA aA- 0.3 as- variable TA- 1.0 re- variable 0.4 0.543 0.766 0.6 | 0.576 0.2 1.0 0.622 0.2185 0.0384 0.1955 0.0422 0.1883 0.0791 0.1147 0.0889 0.1601 0.0096 0.0870| 0.0133 0.1250 0.0798 0.1729 0.0075 0.0898 0.0133 0.0009 0.0005 0.1411 0.0668 0.1919 0.0047 0.0935 0.0132 0.0011| 0.0004 0.0062 0.1550 0.0559 0.2078 0.0028 0.0961 0.0130 0.0012 0.0002 0.0064 9.19 6.52 0.1194 0.0935 0.0034 0.0008 0.0006 0.0058 0.758 9.53 7.24 0.1152 0.0851 0.0934 0.0038 0.2158 0.0060 0.748 10.06 8.37 0.1089 0.0942 0.0931 0.0042 0.2118 0.0480 0.1771 15 0.660 0,740 10.52 9.38 0.1037 0.1018 0.0927 0.0047 0.2085 0.0530 0.1678 20 0.684 0.734 10,83 10.09 0.1002 0.1069 0.0924 0.0050 0.2062 0.0565 0.1614 0.1645 0.0487 0.2185 0.0019 0.0974 0.0129 0.0013 0.0001 0.0065 0.4 0.579 0,0822 0.0419 0.1909 0.1225 0.0856 0.1649 0.0100 0.0861 0.0133 0.1379 0.0747 0.1807 0.0080 0.0888 0.0132 0.0010 0.0018 0.0124 0.1640 0.0577 0.2063 0.0052 0.0924 0.0131 0.1892 0.0428 0.2294 0.0033 0.0953 0.0129 | 0.0015 0.0008 0.741 9.47 7.40 0.1175 0.0934 0.0037 0.2164 0.0009 0.0022 0.0118 0.6 0.629 1.0 0.705 0.1120 0.0902 0.0931 0.2126 0.0477 0.1808 0.0577 0.1640 0.726 9.98 8.64 0.0042 0.3 0.705 10.85 10.85 0.1034 0.1034 0.0924 0.0052 0.2063 0.0013 | 0.0013 0.0131 15 0.771 0.689 11.70 13.10 0.0956 0.1157 0.0917 0.0062 0.2002 0.0675 0.1483 0.0137 2.0 0.817 0.678 12.33 14.85 0.0901 0.1246 0.0913 0.0069 | 0.1957 | 0.0750 0.1368 0.2080 0.0326 0.2455 0.0022 0.0968 0.0128 0.0017| 0.0006 0.0141 aA- 0.2 as- variable TA- 1.5 re- variable 0.0966 0.0019 0.2186 0.0377 0.1847 0.0965 0.0021 | 0.2163 | 0.0413 0.1778 0.1288 0.0736 0.1752 0.0068 0.0901 0.0064 | 0.0001 | 0.0005 0.0060 0.1183 0.0821 0.1626 0.0088 0.0873 0.0064 0.4 0.569 0.6 0.603 0.707 0.714 7.97 6.35 0.1166 0.0799 0.0001 | 0.0006 0.0058 8.26 7.04 0.1127 0.0858 10 0.652 0.0947 0.0963 0.2127 0.0468 0.1675 0.1449 0.0616 0.1940 0.0043 0.0937| 0.0064 0.0002 0.0004 0.1587 0.0515 0.2097 0.0025 0.0962 0.0064 0.1681 0.0449 0.2202 0.0017 0.0975 0.0064 0.2 0.698 8.70 8.12 0.1069 0.0023 0.0062 0.0002 0.0002 0.0002 0.0001 15 0.691 0.0515 0.1587 0.0547 0.1528 0.691 9.08 9.08 0.1021 0.1021 0.0962 0.0025 0.2097 0.0064 20 0.716 0.686 9.34 9.75 0.0990 0.1071 0.0960 0.0028 0.2077 0.0065 0.4 0.607 0.692 8.21 7.21 0.1148 0.0829 0.0965 0.0021 0.2168 0.0409 0.1801 0.1263 0.0789 0.1674 0.0091 0.0866 | 0.0064 0.0002| 0.0020 0.0118 0.0002 0.0017 0.0002 0.0012 0.6 | 0.659 0.0024 0.2135 0.0464 0.1706 0.1418 0.0688 0.1831 0.0072 0.0892 0.0064 0.1678 0.0530 0.2085 0.0047 0.0927 0.0064 0.678 8.65 8.40 0.1098 0.0907 0.0964 0.0123 1.0 0.740 15 0,809 0.3 0.660 9.38 10.52 0.1018 0.1037 0.0961 0.0028 0.2078 0.0559 0.1550 0.0130 0.645 0.0651 0.1403 0.1928 0.0393 0.2311 0.0029 0.0950 | 0.0063 0.2119 0.0299 0.2469 0.0020 0.0968 0.0063 10.09 12.66 0.0947 0.1156 0.0958 0.0033 0.2024 0.0003 0.0008 0.0137 2.0 0.857 0.636 10.62 14.32 0.0897 0.1242 0.0955 0.0038 0.1985 0.0720 0.1296 0.0003 0.0005 0.0141
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a A 6 20 03 a B 4 20 02 r A r B 4 2 2 1 From Table 131 For span AB C AB 0622 C BA 0748 K AB 1006 K ...View the full answer
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