4-30 解:整体及部分受力如图示: 取OA段:∑MA=0 m+Fox×=0 ∴Fox=-10m 取OAB段:∑MB=0 m-Foy×°=0 ∴Foy=10取EF及滑块:∑ME=0 FNF×取整体:∑MD=0 FNF×∴m/P=0.1155m
4-31解:取整体:∑MB=0 -FRA×4+W1×4+G1×3+G2×2cos30°×cos30°=0 ∴FRA= ∑Fx=0 FBx=0
∑Fy=0 FBy+FRA-W1-W2-G1-G2=0 ∴FBy=
取A点:∑Fy=0 FRA+S2cos30°-W1=0 ∴S2=-26kN
3/3m
3°+P×3°=0 ∴FNF=-3P/3
3 cos30°+m-Fox×× ctg30°=0
∑Fx=0 S1+S2sin30°=0 ∴S1=13kN
取C点:∑Fx=0 -S2cos60°+S4cos30°+S3cos60°=0 ∑Fy=0 -S2sin60°-S3sin60°-S4sin30°-G1=0 联立上两式得:S3= S4=-25kN
取O点:∑Fx=0 -S3cos60°-S1+S5cos60°+S6=0 ∑Fy=0 S3sin60°+S5sin60°=0 联立上两式得:S5= S6=
取E点:∑Fx=0 -S5cos60°-S4cos30°+S7cos30°=0 ∴S7=-35kN
4-32 解:取整体:∑MA=0 F1×+F2×3+F3×+F4×6+F5××9=0 ∑Fy=0 FRA+FRB-(4×30+40)=0 ∴FRA=80kN
取A点:∑Fx=0
FRA?S1?S1?1.51.5?0.6622?S2?0
0.661.5?0.6622∑Fy=0
?0
联立后解得:S1=-197kN S2=180kN
(S3?S4)?1.51.5?0.6622取C点:∑Fx=0
?S1?1.51.5?0.6622?0
∑Fy=0
S4?0.661.5?0.6622?(S1??S3)0.661.5?0.6622?F1?0
联立后解得:S3=-37kN S4=-160kN
S6?1.51.5?0.6622取E点:∑Fx=0
??S41.51.5?0.6622?0
∑Fy=0
S6?0.661.5?0.6622??S40.661.5?0.6622?S5?F2?0
联立后解得:S5=-30kN S6=-160kN
S7?S8?1.51.5?222取D点:∑Fx=0
??S3??S21.51.5?0.6622?0
∑Fy=0
S8?21.5?222??S30.661.5?0.6622??0?S5
联立后解得:S7=112kN S8= 由对称性可知:S9=S8= S10=S6=-160kN S11=S5=-30kN S12=S4=-160kN S13=S2=180kN S14=S3=-37kN S15=S1=-197kN
4-33 解:取整体:∑MA=0 FRB×4-P1×2-P2×3=0 ∑Fy=0 FRA+FRB-P1-P2=0 ∴FRA= 取A点:∑Fx=0 S1+S2cos45°=0 ∑Fy=0 FRA-S2sin45°=0 解得:S1= S2=
取C点:∑Fx=0 S4-S2cos45°=0 ∑Fy=0 S3+S2sin45°=0 解得:S3= S4=
FRB =∴