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Дано: P=150кН; L=1м; [G]=150мПа; E=2*10^5мПа; A=1.33*10^-3м2; Найти: N, G, ΔL-?
3.5A
2Aba
d1.5A
c
z3.5p1.5pz
Ra
d1c1
b1
a1L L 2L
1.88P 0.33P
N + +
0.94P/A
-1.67P + 0.0943P/A
G+
-1.33P/A 6.6*10^-4м
1,1*10^-4м
+ +
ΔL+
(Ra2L/3.5AE+RaL/2AE+RaL/1.5AE)+(1.5PL/2AE+1.5PL/1.5AE)-3.5PL/1.5AE=0
RaL/AE(2/3.5+0.5+1/1.5)+PL/AE(1.5/2+1.5/1.5)-3.5PL/1.5AE
1.74Ra+1.75P-2.33P=0
Ra=-P(1.75-2.33)/1.74=0.58P/1.74=0.33P
Ra-NZ1=0
Ra=NZ1=0.33P NZ1Ra,Z
Ra+1.5P-NZ2=0
NZ2=Ra+1.5P=0.33P+1.5P=1.88P NZ2 1.5P Ra,Z
Ra+1.5P-3.5P-NZ3=0
NZ3=Ra+1.5P-3.5P=Ra-2P
NZ3=0.33P-2P=-1.67P
3.5p 1.5pZ
NZ3 Ra
GZ1= NZ1/3.5A=0.33P/3.5A=0.0943P/A=0.0943*1.5*10^5/1.33*10^-3м2=1.1*10^7Н
GZ2= NZ2/2A=1.88P/2A=0.94P/A=0.94*1.5*10^5/1.33*10^-3=1.1*10^8Н
GZ3= NZ3/1.5A=-1.67P/1.5A=-1.113P/A=-1.113*1.5*10^5/1.33*10^-3=-1.3*10^8Н
Laa1=0
Lbb1=GZ1*2L/E=1.1*10^7Н*2м/2*10^5мПа=1,1*10^-4м
Lcc1= GZ2*L/E=1.1*10^8Н*1м/2*10^5мПа=5,5*10^-4м+1.1*10^-4м=6.6*10^-4м
Ldd1= GZ3*L/E=-1.3*10^8Н*1м/2*10^5мПа=-6,5*10^-4+6.6*10^-4=0
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