1.

A beam element which is fixed at support A and roller at Support B. what will be slope defection equation at support A?

A. \(M_{AB}=M_{FAB} + \dfrac{2EI}{l\left[\theta_A + 2\theta_B + \dfrac{3\delta}{l}\right]}\)
B. \({{\rm{M}}_{{\rm{AB}}}} = \overline {{{\rm{M}}_{{\rm{AB}}}}} + \frac{{2{\rm{EI}}}}{{\rm{l}}}\left( {2{{\rm{\theta }}_{\rm{A}}} + {{2\rm{\theta }}_{\rm{B}}} + \frac{{3{\rm{\Delta }}}}{{\rm{l}}}} \right)\)
C. \({{\rm{M}}_{{\rm{AB}}}} = \overline {{{\rm{M}}_{{\rm{AB}}}}} + \frac{{2{\rm{EI}}}}{{\rm{l}}}\left( {2{{\rm{\theta }}_{\rm{A}}} + {{\rm{\theta }}_{\rm{B}}} + \frac{{3{\rm{\Delta }}}}{{\rm{l}}}} \right)\)
D. \({{\rm{M}}_{{\rm{AB}}}} = \overline {{{\rm{M}}_{{\rm{AB}}}}} + \frac{{2{\rm{EI}}}}{{\rm{l}}}\left( {{{\rm{\theta }}_{\rm{A}}} + {{\rm{\theta }}_{\rm{B}}} + \frac{{3{\rm{\Delta }}}}{{\rm{l}}}} \right)\)
E. \({{\rm{M}}_{{\rm{AB}}}} = \overline {{{\rm{M}}_{{\rm{AB}}}}} + \frac{{{\rm{EI}}}}{{\rm{l}}}\left( {2{{\rm{\theta }}_{\rm{A}}} + {{\rm{\theta }}_{\rm{B}}} + \frac{{3{\rm{\Delta }}}}{{\rm{l}}}} \right)\)
Answer» D. \({{\rm{M}}_{{\rm{AB}}}} = \overline {{{\rm{M}}_{{\rm{AB}}}}} + \frac{{2{\rm{EI}}}}{{\rm{l}}}\left( {{{\rm{\theta }}_{\rm{A}}} + {{\rm{\theta }}_{\rm{B}}} + \frac{{3{\rm{\Delta }}}}{{\rm{l}}}} \right)\)


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