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  • 1 # 使用者61875307

    (1)取AC為隔離體,設FCx向左,FCy向上

    ΣMA =0, -20KN.2m +|FCx|.4m +|FCy|.4m =0……①

    .

    (2)取BC為隔離體,

    FCx的反作用力FCx"向右,FCy的反作用力FCy"向下:

    |FCx"|=|FCx|, |FCy"=|FCy|

    ΣMB =0, (4KN/m)4m(2m) -|FCx"|.4m +|FCy"|.4m =0……②

    ②-①得:72KN.m -2|FCx"|.4m =0,

    ΣFy =0,  FBy -(4KN/m).4m -1KN =0

             FBy = 17KN(向上)……④

    ΣFx =0,  FBx +FCx" =0

             FBx +9KN =0,

             FBx = -9KN(向左)

    .

    (3)取ABC整體為受力分析物件:

    ΣFx =0,  FAx +FBx +20KN =0

             FAx -9KN +20KN =0,

             FAx = -11KN(向左)

    ΣFy =0,  FAy +FBy -(4KN/m).4m =0

             FAy +17KN -16KN =0,

             FAy = -1kN(向下)……⑤

    驗算FAy:

    ΣMB =0,  |FAy|.8m -20KN.2m +(4KN/m)4m(2m) =0

             |FAy| =1KN , 驗算結果與⑤相同

    驗算FBy:

    ΣMA =0,  |FBy|.8m -20KN.2m -(4KN/m)4m(6m) =0

             |FBy| =17KN , 驗算結果與④相同

    .

    求得的支反力實際方向如下圖所示:

    向左轉|向右轉

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