Добровольский В.И. Расчёты на прочность, жёсткость и устойчивость элементов конструкций
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6.3.
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l. BHqncrreM
,[onyc(aeMoe
HanptxeHHe
Ha cxarne
Ial-
a,
/
a=
250 /2
=
125 Mn^.
2. no m6nuqe
n.6 flaxoaxM
l(€Ooru eHr
npnBeA€Ht{t B6IcorhI xonoHHr'I K
ocHosHoMy
(mapHrpHoMy)
3axpelrjleHfilo
p
=
1,47.
3. noc(onhxy
KosoorqreHr
npolon6Hom
mrn6a saxoaurc, B rpe[enax
0
<
l'
<
I, ro B nepsoM npr6nnxeHnn
nprHI{MaeM
grn
=
0,5 L
!3 ycnoBl'n
ycror-
ceqeHnr r ceqeHxfi BerBefi
(HarpnMep,
a
-
(0,02
+
0,03)0, a 3ar€M
Bhl'rrcnflor
MIrEtMirnf,HHe
fnaBHHe
ueuTparl6Hlle
MoMeHrf,r
HHaPt\au J6in= Jn= Jf.
EJa
arrncnMMerprqHoro
ceqeHrd 9
(ra6n.
7-3) Tara(e MoxHo nplrutTL aHaroruq-
Hoe
paccrorHne
ar
(FarpHMep,
ar
=
(0,02
-
0,03)4, roraa
paccrotHqe
a) 86I-
qucnrErcr
lr3
ycnoBHr paBeHcrBa
m6aprros cocraaHoro
ceq€Hnt ar+xo=rr+),0,
rle .!o!
/o
(oopaHHarhr
qeHrpa
rrxecrt epaBso6oKofo
yfonKa (ra6n.
n3).
7.
no
rabnrqe n.7
Anr
lt> 220 u a,
=
231
+
290 Mna non) {aeM
pacqerEHfi
|(o3oouqu€Hr
npoaonbfioro t3rn6a
9rp
=
0,119,
Kompbrti cyuec, Befiso
(Ha
76
7o npr
peKoMeHAyeMbrx
ro
5
o/o)
orntqaerct
or
pafiee
nptHrrorro
9u
=
0,5.
8.
IIoBropHo nprHnMaeM
9m
=
0,5(9'n
+
9p)
=
0,5(0,5
+
0,119)
=
0,310 u
BHOBb AbrqrcnreM nnouaaL cocTaBsoro
ceqeHnx
-
P 300. tol
,
,
4 10-a Mz
-
71,4
cM'
.
"
ernlol
0,310
125.10"
9. H3 ra6nr{H
n.5 no
pacqerHofi
n outttrt{
Fr"D= 0,5F,
-
18.7 cM':HaxonflM
6nnxaf,drhlByraBp
Ne 2 7: F-
=
49,2
"uz
,
t,
-
tot0 cxn, .1,
=
266
""'.
10.
B6rqrcnreM MfiHfiMamHLIfi
paturyc
trHeplun cocmBBoro cetteHtt
I l. OnpelemeM
m6Kocr6 f,onolrrbl npt
B,ropoM nplr6nrixesns
. ul
1,47.
|
000
/r.r
_
L=-.l8l.
'
r"'r
810
12. no ra6nnqe n.7
art
L
=
l8l H o,
=
2ll
+
290
Mna tnHefiHHM ri&repno-
rxpoBaflneM nonyqaeM
pacq€rHhrft
Ko3oosul,eH,
npoaonEHoro x3r$6a:
anr
l,= 180
qrso=0,1?5,
l,= 190
grro=0,158;
16,"
-,6,"^,
9ul
9uo
1)., -
r s0)- 0.175
*
0159-91,?s
0
81. r 80)= 0.r
?J.
"'
''"
190-180
'
190-180
xoropbrfi mxxe cyrqecrBeHHo
(fia
44
o/o)
ornn{aer* or
npnntmro
92fl
=
0,3 r0.
13.
A,,tc
rperrero nprdrt{xeHHt
npuHI{MaeM
93n
=
0,5(9,n
+
9})
=
0,5(0,310
+
0,173)
=
0,241 lr BsIqtcJUIeM
Irnou.lalr cocraBsoro
ceqeHnt
_
P l00
r0r
-
'v,o.l0-'v'z
-
e9,6
cu?
.
' qrnlol
0.241
125 10"
14.
H3 ra6nru6r n.5 no
pacqerHofi
lr'ouaalt FB'=
0,5F3
=
49,8 cMz Haxo.[(M
turxafinrnn
Aeyrasp
Nq
3
0a: F-
-
4g,g cM2, J,
=
7780 cM', J'
=
436 cMn
15, BHqncnreM MsHrfiarhHhifi
pa&ryc
nHepqwr ceqefiIrt
*-=i't"l'
BbrqncrieM
nnouaab cocTaBHofo
ceqeHlit I(oJro{HbI
-
P too
tol
=ro.v
t0-'v7
48 cv?
'
e,nlol
0.5 125 l0'
4. Hr rabnrubr n.5 flo
pacqerHon rlnourann FlD- 0,5Fr
-
24 cui uaxoasv
6n
xafiuxn trB),rasp,Ye
18 c m6nxqHllvt{
rHalreHutMn reoverpt{qecxnx xa-
paKt€pxc
fi
F-
=
21.8 cM'). J,
=
I330 cva: J, 94.6 cMa.
5, AHanB
OopMhr
cocmBHoro
ce{eHfit no(a3HBaeT,
qro
MhHxManhHLIfi
Mo-
MeHr nHepun[ 6yaer
orHoclIlenhHo
rnaBHoI
lefiTpattLHofi
oct
r0
J^'
=Ja-J,-Jt
1310 94.6-
1425cM"
6.
B6rqrcnreM MuriuMansHHfi
paaryc lrHeplrtt| coc
,-^,
-
/'''"
-.1
wL
=
5.at s.
'''"'
!
24".
\i2
23.8
n onp€aenreM
ru6xocr6
konoHHhl
. ul
1,47.1000
^
_!=--:69.
'
t-;r 541
I1PI-jMEr{AHI'IE.
A,rt
cocraBHHx ce.reHlti l,4, 6,
7
(ra6n.
7.3) I(onoHH
MuiMMarrEH6rtr
MoMeHT
LIH€p4{n 6yaerorHoctrrenLHo
mpmoHranbHoi taB-
Hoi
u€HmarbHofi
oc, J-i=
Jm=U' tae J,
rnaBHLIi
qeHrpanbHblfi
MoMeHT
uHepqnn cerreH t
serBn.
AIt
o6ecne'reHfit
paBHoycroi'rnBocru xotoHHEl
Bropotr rnasHHf, u€Hrpa,lbH6rfi
MoMerr HHepurr cocrbBHoro ce'reHl,t,
olHocH_
rerixo aeprnnansnoi
ocr.{
),0
npnH{Maercr
paBHhtM
Jla
=
2(4
+
dD
=
Q,l
+
l,2V,o,
rae F, J,
-
rlflouraab
r Bropofi InaBnlli MoMeHr
ltHepuHn ceqeHltt aer-
BUr
d=J[(LI+1.2V,
-J,.yF -
xcxoMoe
paccro'Hxe Me)*ay
uesrpaMx
lqxe-
crr cocraBHoro ceqeHHr
fi ceqeHxtMq
BerBefi-
Ant
cocraBHl'rx clrMMsrpfiqHbrx
ceqeHfin 2, 5, 8
(ra6n.
7.3) c
y.teroM
nparmKn npoexrlrpo8aHruI
IonoHH 3ana'
IoTCr
paquoHansHhrMx
paccrotHttMt
d Mexay
qeHfpaMx
TtJ{{ecrs
co{raBHom
["],
=,p,n[o]
ll8
9
16, OnDe,aenreM
rn6(ocrb KonoHHn
. u/
1,47
-100()
,.^
"
Lrn3
9,07
17.
no
ra6nnqe
n.7
Aru
l3
=
162 n o,
=
231
-
290 Mfla c
yqeroM
nnHef,soro
fiHTepnonlpoBaHruI
Haxo,qHM
pac'rerHErfi
xo3oor|urrcFT
npolonEHoro u3rt{6a
erp
=
0,215.
Bn{Ho,
qro
nplrl|trllfi xo3oqtuuenr
9rn
=
0,241 6onhlne
Pacqer'
Horo
{Ep
=
0,215 Bcero
Ha 12,l 70.
flpoBepreM BbrnonHeHne
ycnoBtsr ycroffqnaocu
p
10(),Inr
.lo{
o_.,
=
':
---"
'" '-:
=10,06Mna'
f"1,
=
e"lol
0,215 t25
=
-^
2F,,
2.499.t0-'
26,81 Mfla.
ycrroBHe
ycrof,qtBocrri H€ BElnonHtertt. IIpn
rB,"raBpax
Ne
304
rcnoHHa 6y_
aer
He[ofi]cr$Mo
neperpyxe]ra. nocxon6ky Maft cxMaiLHoe
pa6oqee
rlaflpt*e-
Hne 6onlu€
lorrycxaeMoro
flanptxeflrri
lra
.
6*
-t6'|,.^^
-.
30,06-2687
',o =
"""""""" 1ooo/o',ll9o/o
tol"
26.47
BaxHo nMerb
B
sne/,
qro
nplr noa6ope ceqesnfi I(oJIoHH
MaxcuManLHde
pa6oq|e
Hanprxer{Hr
He
Aonr(BM
npeBHuaTrr 6onee
,IeM
Ha 5 7o
lorryc(aertHx
BanprxeHsfi
Ha
ycroFlnBocrE.
nptr 3rioM
rorrycra€tc,
qro
oo* Mofyr 6NTL
cyqecrEeHso
(6otee,
qeM
Ha 5
o/o)
MeHBrI€
[ol,
18. npnHnMae
g.n=0,5(q!n+prr)=0,5(0,241
+
0,2 | 5)
=
0,228
u BHqrcnr-
eM ruorqalB cocTaBHom
ceqeHfit
9rntol
=
105,3.10-au2
=
105,1 cu?
19. l,l3 Ta6nfiuFr
I1.5 no
pacqernof
llnou$rr F-
=
52,6
cM'zBH6npaeM
aBy-
mBp ffe 3 3: FD
=
53,8 cM'
,
J,
=
9840 c*t'
,
J,
=
llg
cr'
.
20. BHqr.rcnieM
MnHlrMant8un
palHyc
l,IHepqxn ceqeHHt
21. OnpeA€nreM
ru6rccrL
rcnoHH6r npn
qertseproM
npt6nl,u(eHxn
-
ul
1.47 1000
l/
=
-L
=
j-
:
150,6 .
'
i..r 9,76
22. no ra6n|ue
II.7
anr
la
=
150,6 ri o.
=
231
-
290
Mna c
J
reroM tnaefiHoro
nflTepnonfpoBaHm
HaxorfiM
pacqeHLltr
Ko3oonuteHr
npoAon6lroro rcrH6a
qrp
=
0,248. npHHrrL|ft rosoouuHeKr
9.n
=
0,228 MeHBrre
pacqerHoro
9r!
=
0.248
',,a8.l'/o.
23. npoBepreM
BHnonfi€Htre
yctoB{t
ycrofiqsBocrn
BI{4Ho,
,rro
ycnoBse ycrolqxBocr!
B[inorl]rercq,
npH ,roM
pa6oqee
Hanpr-
xeHne MeH6rne
aorrycfaeMoro
HarrprxeHfir Ha
a=o-i''tf r oo
"r"
=
27 8.1-,1 l 0
r00 %..
-r0,r
%.
t"l,
31,0
Eonee To.{Bo norc6parb
rtyraapotle
ceqeH[rr xonoHHH He
yaanocb.
24. Heo6xoArMo,
qro6u
xoJro8sa 6bua
ycmfiqxBa
He ronlxo s
qenoM,
so
ycrof,"nBbor
6Hfli l' ee ortersHUe aeftH.
ycnoBHe
paBHoycrof,r{nBocr
xoronHh| t Beraef, 6yrer BLlnorHexo, ecrll rr6ftocrlt xoto HLI I aerBei I,
6yryr
paaHsr
'
),."=fi;E;
I.
3lrnepa
o
-
n' EJ
^.
-
r,r 4' 2i!q:!qlf!1gil!!Il!1
=
e36. r 0, H
=
e36 xH.
'*=
tur
=-----(l;tn-
npn )i
<
I
S
\to
anr
oryeaeneBrt Pa npxMenterct
Ooplryta
o.C. ,IcHHcxo-
ro. npr rroM l,
=
(a
- 6") / b. np'i a
=2,31(a,-
107)
=
2,31(250
- 107)
=
330
Mna,
,
=
0,0197(0. - 321)
=
0,0197(420
-
321)
=
1,95
Mna nojy'iaeM
L
=
(330-250)/1,95=41.
26. Haxoar.rM rc3oorqrcHr 3aflaca
ycrot'rnBocrr
xonon H
nY
=
P'o
/P
=
9361300
=3't2
'
300.103.t0{
2.53,8. rO-r
=
27.88 Mfla<[a]y=9apt6l=0,248
125=3 l,oMna.
30o. t0r
r!€ /.
-
BLrcora BerBH:
tr.
*
r(o50o
unerr
npfiBeAeHnr BHcorht BerBr
(np
fi&-
Maercr
Fr
=
l);
ii.i..
-
MnI ManlHllfi
patnyc
nnepurx teqeHnr
BerBn.
,qnt
noao6paHHHx
aB).raBpoB
M3 ro ra6nrue n.5 Haxoar*r ,;.
=
i
=
2,?9 cM.
BHqficrreM rlpeaenLay|o aLrcory BerBx
/-.
=
,;h,L
=
2,79.150,6
=
420 cM,'
trro
eHbue B6rcorH xojroHHu I
=
l00O
cM. Cne,qoBar€nLHo,
anr
o6€cne.r€Hris
paBHoycrofi'rnEosm
BeBcii r xoroHH$ B
uenoM
xeo6xoAxMo npelycMorperL
onpereneHHoc
qncno
rperr,exun
(cBapu&
6orro8ux)
I t000
,rp
=-:+
I
=
jii:+l
=
3.38n
4.
Pesnf,Har
E[lcoTa BerBn
pasnu
t
=
IOOO Z:
=
::: cM. Hasoc{M Ha
xonoHHy
(pnc.
7.2)
qcrupe
cxpemrrcurc ntafirtr.
25. BLrqrcjrreM xprrxqecryo
crjry. nocxonlKy rn6xocr! xonoBBH l.
=
150,6
0,228.125.t06
142
.2.tos
fo,8.250
=99.3,
ro ncnonL3ycM
OopMyny
120
121