(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
(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