W = 2kN,T = W ΣFx = 0, FA = FB
ΣMi = 0, W ×300 ? FA ×800 = 0 ,F A = 3/8W = 0.75 kN ,FB = 0.75 kN. 2-6
F3 ? d ? M = 0 ,
F 3 = M/d, F = F3(压)
ΣFx = 0,F2 = 0, ΣFy = 0,
F = F1= M/d (拉) 2-7
6
解: W/2=4.6 kN
ΔF = 6.4?4.6 = 1.8 kN ΣMi = 0,?M +ΔF?l = 0
M=ΔF?l = 1.8× 2.5 = 4.5 kN·m
2-8
解:对于图(a)中的结构,CD 为二力杆,ADB 受力如图所示,根据力偶系平衡的要求,由
FRA?FRC?M2d2?2M d
对于图(b)中的结构,AB 为二力杆,CD 受力如习题3-6b 解1 图所示,根据力偶系 平衡的要求,由
FRC?FD?M/dFRA?FD'?M/d 2-9
7
解:BC 为二力构件,其受力图如图所示。考虑AB 平衡,A、B 二处的形成力偶与外加力偶平衡。
800?MFA?FB???269.4N
BD1.2?2?1.8/2 2-10
M1d
M2?F?F? DCd
F??FDDFD?FA?
M2=M1 2-11
8
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,
M?Fpd?M?0qd.d?Fpd?FBR.2d?Fp1.3d?02 1qd?Fp?2FBR?3Fp1?02FBR?21RA?Fy?0,F3-2
?15KN9
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
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(→)
10