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计算支反力时,可将分布荷载q用等效的集中荷载P代替,
P的大小 =q.6m, P作用点到B的水平距离 =6m/2=3m
.
(1)取BC段为隔离体:
ΣMB =0, Rc(4m) -q(6m)(3m) =0
Rc(4m) -(4kN/m)(6m)(3m) =0
Rc =18kN(向上)
ΣFy =0, Rby -q(6m) +Rc =0
Rby -(4kN/m)(6m) +18kN =0
Rby =6kN(向上)
ΣFx =0, Rbx =0
.
(2)取AB段为隔离体:
Rby的反作用力Rby'大小与Rby相等,方向相反----向下
ΣFy =0, Ray -Rby' =0
Ray -6kN =0
Ray =6kN(向上)
ΣFx =0, Rax =0
ΣMA =0, Ma -M -Rby'(4m) =0
Ma -8kN.m -(6kN)(4m) =0
Ma =32kN.m(逆时针绕向)
P的大小 =q.6m, P作用点到B的水平距离 =6m/2=3m
.
(1)取BC段为隔离体:
ΣMB =0, Rc(4m) -q(6m)(3m) =0
Rc(4m) -(4kN/m)(6m)(3m) =0
Rc =18kN(向上)
ΣFy =0, Rby -q(6m) +Rc =0
Rby -(4kN/m)(6m) +18kN =0
Rby =6kN(向上)
ΣFx =0, Rbx =0
.
(2)取AB段为隔离体:
Rby的反作用力Rby'大小与Rby相等,方向相反----向下
ΣFy =0, Ray -Rby' =0
Ray -6kN =0
Ray =6kN(向上)
ΣFx =0, Rax =0
ΣMA =0, Ma -M -Rby'(4m) =0
Ma -8kN.m -(6kN)(4m) =0
Ma =32kN.m(逆时针绕向)
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