2-11
FBy = FAy = 0 F BX=M/d
F RB = M /d(←)
由对称性知
F RA = M/ d(→)
3-1
A:
ΣFx=0,FAx=0
ΣMA=0,?M?FP×4+FRB×3.5=0,?60?20×4+FRB×3.5=0,
FRB=40kN(↑)ΣFy=0,FAy+FRB?FP=0, FAy=?20kN(↓) 对于图b中的梁,
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M?Fpd?M?0qd.d?Fpd?FBR.2d?Fp1.3d?02 1qd?Fp?2FBR?3Fp1?02FBR?21RA?Fy?0,F3-2
?15KN
解
Σ Fx = 0, FAx = 0 ΣFy = 0, FAy = 0(↑)
ΣMA = 0,MA + M ? Fd = 0 , MA = Fd ? M
3-3
解:
ΣMA (F) = 0 , ?W ×1.4 ? FS ×1+ FNB × 2.8 = 0 , FNB =13.6 kN
ΣFy = 0, FNA = 6.4 kN
3-4
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ΣFy = 0, FBy =W +W1 =13.5 kN
ΣMB = 0,5FA ?1W ?3W1 = 0 , FA = 6.7 kN(←),
Σ Fx = 0, FBx = 6.7 kN(→)
3-7
解:以重物为平衡对象:
图(a),ΣFy = 0,TC =W / cosα (1) 以整体为平衡对象:
图(b),ΣFx=0,FBx=TC’sinα=Wtanα ΣMB=0,?FRA?4h+TC′cosα?2h+TC′sinα?4h=0,
FRA=(1/2+tanα)W(↑)
ΣFy=0,
FBy=(1/2-tanα)W(↑)
3-9
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解:以整体为平衡对象,有 ΣMA = 0
FRB ×2×2.4cos 75° ? 600×1.8cos 75° ?W(1.2 + 3.6) cos 75° = 0, FRB = 375 N
ΣFy = 0,FRA = 525 N 以BC 为平衡对象,有
?TEF ×1.8sin 75° ?150×1.2 cos75° + FRB ×2.4 cos75° = 0
TEF = 107 N 3-11
:以托架CFB 为平衡对象,有 ΣFy = 0,FBy = FW2 (1) 以杠杆AOB 为平衡对象,有 ΣMO = 0, FW?l?FBy?a=0
Fw1/Fw2=a/l
4-2 图示直杆ACB在两端A、B处固定。关于其两端的约束力有四种答案。试分析哪一种答案最合理。
正确答案是 D 。
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