Question: Solve Prob. 1311 using the slope-deflection equations. Data From 13-11. Use the moment-distribution method to determine the moment at each joint of the symmetric bridge

Solve Prob. 13€“11 using the slope-deflection equations.

40 ft 40 ft 40 ft 2 k/ft 3 ft 3 ft By 12 ft 2 ft 12 ft'4 ft 30 ft 4.

Data From 13-11.

Use the moment-distribution method to determine the moment at each joint of the symmetric bridge frame. Supports F and E are fixed and B and C are fixed connected. The haunches are straight so use Table 13€“2. Assume E is constant and the members are each 1 ft thick.

TABLE 13-2 Parabolic Haunches-Constant Width Note: All carry-over factors are negative and all stiffness factors are pos

40 ft 40 ft 40 ft 2 k/ft 3 ft 3 ft By 12 ft 2 ft 12 ft'4 ft 30 ft 4. 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 Left Right Unif. Load FEM FEM Right Haunch Carry-over Factors Stiffness Factors Coef x waL? Coef x wyl? FEM 0.1 0.3 0.5 0.7 0.9 Coet x wL? CAB KAB kBA Mas Ma. MeA MBA Maa MBA MA Maa MaA MAB MBA MAB Maa aA - 0.2 a- variable A- 1.0 a- variable 0.4 0.558 0.0502 0.1572 0.1261 0.0715 0.1618 0.0073 0.0877 0.0535 0.1527 0.1339 0.0663 0.1708 0.0058 0.0902 0.0584 0.1459 0.1459 0.0584 0.1844 0.0038 0.0935 0.627 6.08 5.40 0.1022 0.0841 0.0938 0.0033 0.1891 0.0032 0.0001 0.0002 0.0030 0.6| 0.582 0.0936 0.0036| 0.1872 0.0038 0.1844 0.624 6.21 5.80 0.0995 0.0887 0.0032 0.0001 | 0.0002 0,0031 0.2 1.0 0.619 0.619 6.41 6.41 0.0956 0.0956 0.0935 0.0032 0.000O1 0.0001 0.0032 1.5 0.649 2.0 0,671 0.1015 0.0933 0.0041| 0.1819 0.0044| 0.1801 0.0628 0.1399 0.1563 0.0518 0.1962 0.0025 0.0958 0.0660 0.138 0.1638 0.0472 0.2042 0.0017 0.0971 0.614 6.59 6.97 0.0921 0.0032 0.00O1 0.0001 0.0032 0.611 6.71 7.38 0.0899 0.1056 0.0932 0.0032 0.00O1 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 0.0587 0.1467 0.1455 0.06090.1808 0.0057 0.0902 0.0669 0.1365 0.1643 0.0502 0.2000 0.0037 0.0936 0.0746 0.1272 0.1819 0.0410 0.2170 0.0023 0.0959 0.6| 0.625 0.609 6.41 6.58 0.0966 0.0942 0.0935 0.0039 0.1845 0.0032 0.00O1 0.0005 0.0065 0.3 1.0 0.683 0.598 6.73 7.68 0.0911 0.1042 0.0932 0.0044| 0.1801 0.0031 0.0001 0.0004 0.0068 1.5 0.735 0.589 7.02 8.76 0.O862 0.1133 0.0929 0.0050| 0.1760 0.0031 0.0001 0.0003 0.0070 2.0 0.772 0.582 7.25 9.61 0.0827 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- 0.5 a- variable TA- 1.0 a- variable 0.4 0.488 0.6 0515 0.0371 0.2021 0.1061 0.0979 0.1506 0.0105 0.0863 0.0171 0.0017 0.0003 0.0030 0.0170 0.0018 0.0002 0.0030 0.0020 0.0001 0.0031 O.807 9.85 5.97 0.1214 0.0753 0.0929 0.0034 0.2131 0.0036 0.2110 0.0404 0.19690.1136 0.0917 0.1600 0.0083 0.0892 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 0.0506 0.1764 0.1417 0.0661 0.1948 0.0025 0.0968 0.803 10.10 6.45 0.1183 0.0795 0.0928 0.2 1.0 0.547 1.5 0.571 2.0 0.590 0.796 10.51 7.22 0.1138 0.0865 0.0926 0.0168 0.786 10.90 7.90 0.1093 0.0922 0.0923 0.0043 0.2055 0.0167 0.0021 | 0.0001 0.0032 0.784 11.17 8.40 0.1063 0.0961 0.0922 0.0046 0.2041 0.0166 0.0022 0.0001 0.0032 0.4 | 0.554 0.0040| 0.2O87 0.0442 0.1924 0.1205 0.0898 0.1595 0.0107 0.0853 0.0506 0.1820 0.1360 0.0791 0.1738 0.0086 0.0878 0.0626 0.1639 0.1639 0.0626 0.19700.0057 0.0915 0.0169 0.0020 0.0042 0.0145 0.0022 0.0036 0.0152 0.0028 0.0028 0.0164 0.753 10.42 7.66 0.1170 0.0811 0.0926 0.0046 0.2045 0.6 0.606 1.0 0.694 0.730 10.96 9.12 0.1115 0.0889 0.0922 0.0167 0.5 0.694 12.03 12.03 0.1025 0.1025 0.0915 0.0057| 0.1970 0.0164 1.5 0.781 0.664 13.12 15.47 0.0937 0.1163 0.0908 0.0070| 0.1891 0.0759 0.1456 0.1939 0.0479 0.2187 0.0039 0.0940 0.0160 0.0034 0.0021 0.0174 2.0 0850 0.642 14.09 18.64 0.0870 0.1275 0.0901 0.0082 0.1825 0.0877 0.1307 0.2193 0.0376 0.2348 0.0027 0.0957 0.0157 0.0039 0.0016 0.0181

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The necessary data for member BC can be found from Table 131 Here a B a C 12 40 03 r ... View full answer

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