Ασκήσεις_θεωριών αστοχίας
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Transcript of Ασκήσεις_θεωριών αστοχίας
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94.6
4.6.1 4-8 F = 4540 N. Sy = 330 MPa, d = 37.5 mm, 150mm , a = 200 mm. Von Mises.
4-8:
: Mx = Fa, Mz =F, . x, z F. ,
4 3 364 32 32 4540 150 131.5
2 2 2 37.5x
xM d F d F d F MPaI I d d
,
4 3 332 16 16 4540 200 87.7
2 37.5z
xyp
M r Fa d Fa MPaJ d d
2 24 4 4540 4.1
37.5F F MPaA d
. ,
2 22 2
1131.5 0 131.5 0 87.7 175.35
2 2 2 2x y x y
xy MPa
2 0 2 2
2 23
131.5 0 131.5 0 87.7 43.852 2 2 2
x y x yxy MPa
:
-
10
2 22 2
max131.5 0 87.7 109.6
2 2x y
xy MPa
Von Mises ,
22 2 21 1 3 3 175.35 175.35 43.85 43.85 200.9 Pa Von Mises ,
330 1.64200.9
ySN
,
max max
330 1.512 2 109.6
sy yS SN
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11
4.6.2 F =10000 N . 3.1. Sut =
172 Pa Suc = 690 Pa, ) , ) Coulomb-Mohr ) Mohr.
2. Sy = 345 Pa, (Von Mises).
3. 1) ;
4-9:
: ( ). :
1
max4 4 4 4 4
10000 250 150 11.132 2150 113
64 64
ox
o i
dM F N mm mmy MPaI d d mm
,
2
4 4 4 4 4
10000 300 150 6.682 2150 113
32 32
oxy
o i
dT F N mm mmr MPaJ d d mm
:2
21,3
22
2 2
14.2611.13 0 11.13 0 6.683.132 2
x y x yxy
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12
4-10:
1 1
3 3
3 14.26 42.783 3.13 9.39
t
t
k MPak MPa
. . 1OA 3OA . . , Coulomb-Mohr, Coulomb. ,
1
172 4.042.78
utMOT
SN
: = 162 :
1
162 3.7842.78Co Mo
OB OB OBNOA OA
:
311 42.78 9.39 0.2623 3.81172 690 Co MoCo Mo ut uc
NN S S
. ,
-
13
1
172 4.042.78
utT Co
SN
2. Von Mises (): 2 2 2 21 1 3 3 14.26 14.26 3.13 3.13 16.05eq MPa
:345 21.5
16.05y
eq
SN
2 2
2 2max
11.13 6.68 8.692 2
xxy MPa
:
max
345/ 2 19.88.69
syM
SN
.
: :
2 2 2 23 11.13 3 6.68 16.05eq x xy MPa 345 21.5
16.05y
eq
SN
,2 2 2 24 11.13 4 6.68 17.38eq x xy MPa
345 19.817.38
yM
eq
SN