A continuous loaded beam ABC rests on simple supports at A,B and C without yielding (AB = L1, and BC = L2). Which one of the following represents correct equation of claperyron's three moment's theorem?

\({M_A}{L_1} + 2{M_B}\left( {{L_1} + {L_2}} \right) + {M_c}{L_2}\frac{{12{A_1}{x_!}}}{{{L_1}}} + \frac{{12A + 2\;{x_2}}}{{{L_2}}} = 0\)

\({M_A}{L_1} + {M_B}\left( {{L_1} + {L_2}} \right) + {M_c}{L_2} + \frac{{6{a_1}{x_1}}}{{{L_1}}} + \frac{{6{A_2}{x_2}}}{{{L_2}}} = 0\)

\({M_B}\left( {{L_1} + {L_2}} \right) + \frac{{3{A_1}{x_!}}}{{{L_1}}} + \frac{{3{A_2}{x_2}}}{{{L_2}}} = 0\)

\({M_A}{L_1} + 2{M_B}\left( {{L_1} + {L_2}} \right) + {M_c}{L_2}\frac{{4{A_1}{x_1}}}{{{L_1}}} + \frac{{4{A_2}{x_2}}}{{{L_2}}} = 0\)

A continuous loaded beam ABC rests on simple supports at A,B and C wit

1.	A continuous loaded beam ABC rests on simple supports at A,B and C without yielding (AB = L1, and BC = L2). Which one of the following represents correct equation of claperyron's three moment's theorem?
A.	\({M_A}{L_1} + {M_B}\left( {{L_1} + {L_2}} \right) + {M_c}{L_2} + \frac{{6{a_1}{x_1}}}{{{L_1}}} + \frac{{6{A_2}{x_2}}}{{{L_2}}} = 0\)
B.	\({M_B}\left( {{L_1} + {L_2}} \right) + \frac{{3{A_1}{x_!}}}{{{L_1}}} + \frac{{3{A_2}{x_2}}}{{{L_2}}} = 0\)
C.	\({M_A}{L_1} + 2{M_B}\left( {{L_1} + {L_2}} \right) + {M_c}{L_2}\frac{{12{A_1}{x_!}}}{{{L_1}}} + \frac{{12A + 2\;{x_2}}}{{{L_2}}} = 0\)
D.	\({M_A}{L_1} + 2{M_B}\left( {{L_1} + {L_2}} \right) + {M_c}{L_2}\frac{{4{A_1}{x_1}}}{{{L_1}}} + \frac{{4{A_2}{x_2}}}{{{L_2}}} = 0\)
Answer» C. \({M_A}{L_1} + 2{M_B}\left( {{L_1} + {L_2}} \right) + {M_c}{L_2}\frac{{12{A_1}{x_!}}}{{{L_1}}} + \frac{{12A + 2\;{x_2}}}{{{L_2}}} = 0\)

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