Назад
10
2 LjZi_p_b^Zevguc ijhnbevjbk [ M]he ijhnbey
.= qbkeh dmeZqdh\. Fmnlu k dmeZqdZfb ljZi_
p_b^Zevgh]h ijhnbeyijbf_gyxlky\ fZrbgZo j_\_jkb\gh]h
^_ckl\by LjZi_p_b^Zevgu_ dmeZqdb h[_ki_qb\Zxl [_aaZahj
gh_ kp_ie_gb_ ihemfmnl \ukhdmx \_jhylghklv \dexq_gby
g_agZqbl_evgmxkdehgghklvdkZfh\udexq_gbxkjZ\gbl_ev
ghmklhcqb\uijhlb\kfylbyijb\dexq_gbbih^gZ]jmadhc
3 Ijyfhm]hevguc ijhnbevjbk \ G_ h[_ki_qb\Z_l
[_aaZahjgh]h kp_ie_gby bf__l hq_gv fZemx \_jhylghklv
\dexq_gby ihwlhfm ijbf_gy_lky j_^dh ?]h _^bgkl\_ggh_
^hklhbgkl\h \hafh`ghklv gZj_aZgby dmeZqdh\ gZb[he__
jZkijhkljZgzggufbpbebg^jbq_kdbfb^bkdh\ufbnj_aZfb
4 G_kbff_ljbqgu_ijhnbebjbk]^Ijbf_gyxlky\
g_j_\_jkb\guo fZrbgZo Mf_gvr_gb_ m]eZ ijhnbey kh klh
jhgudhglZdlZkgb`Z_l\hafh`ghklvkZfh\udexq_gbyZih^
^_j`Zgb_^hklZlhqgh[hevrh]hh[s_]hm]eZ\debgb\Zgbydm
eZqdZ iha\hey_l khojZgblv agZqbl_evgmx \_jhylghklv \dex
q_gbyfmnlu
NhjfudmeZqdh\\hk_\hfk_q_gbbihemfmnluijb\_^_gu
gZjbk`abLj_m]hevgucdmeZqhd^he`_gbf_lvmf_gv
rZxsmxkydhkbfmnlu\ukhlmh (kfjbkaIjyfhm]hev
gu_ ljZi_p_b^Zevgu_ dmeZqdb qZs_ \k_]h bf_xl h^bgZdh
\mx\ukhlmhIjbg_qzlghfdhebq_kl\_dmeZqdh\lZdhcijh
nbeviha\hey_lgZj_aZlvihemfmnluh^ghklhjhggbfb^bkdh
\ufb nj_aZfbjbk 6). Kdhku gZ lhjpZo ljZi_p_b^Zevguo b
ijyfhm]hevguo dmeZqdh\jbk  _ ^_eZxl ^ey h[e_]q_gby
\dexq_gby fmnlu JZ[hqb_ ih\_joghklb dmeZqdh\ h[uqgh
11
\uihegyxliehkdbfbh^gZdhba\_klgukemqZbdh]^Zmfmnl
\dexqZ_fuo ih^ gZ]jmadhc b gZ oh^m jZ[hqb_ ih\_joghklb
dmeZqdh\hq_jqb\Zebkvih\bglh\hcebgbb GZb[hevr__jZk
ijhkljZg_gb_ihemqbebkp_igu_dmeZqdh\u_fmnlukljZi_
p_b^Zevgufb dmeZqdZfb Dhgkljmdlb\gu_ jZaf_ju dmeZqdh
\uo\_gph\lZdbofmnlihghjfZebklZgdhkljh_gbyijb\_^_
gu\lZ[e. 1 (h[hagZq_gbykfgZjbk1).
LZ[ebpZDhgkljmdlb\gu_jZaf_judmeZqdh\uo
\_gph\dmeZqdh\uofmnl
z
d
-
2)( dd
,
h
h
35 6
40
45
7
7
50
55
8
60
9
70
10
4 5
40 5...8
45
50
5
55
4 5
60
70
80
-
7
90
5...10
6 7
40 5...8
45
50
4 5
7
55
60
70
80
9
90
5...10
6 7
12
Ijbf_qZgby:
1 M]hejZ[hq_]hijhnbey\h\k_okemqZyo
. º (10º).
2 P_gljZevgu_m]eu\iZ^bgubdmeZqdZjZkkqblu\Z
xlkyihnhjfme_
z
2
360
°
==
γβ
b\uihegyxlkyk`zkldbf^himkdhf
.,
'40
'20
'40
'20
+
+
γβ
3
>ebgZklmibpumih^\b`ghcihemfmnlu
 «d.
J_dhf_g^m_fu_ ^ey dmeZqdh\uo ihemfmnl fZl_jbZeu
klZevOOGOGAOGAbZgZeh]bqgu_kp_f_glZpb
_c jZ[hqbo ih\_joghkl_c dmeZqdh\ b aZdZedhc ^h l\zj^hklb
HRC 5460.
J:KQ,LUDME:QDH<UOFMNL
Ijbqbghc \uoh^Z ba kljhy dmeZqdh\hc fmnlu fh`_l
klZlv baghkkfylb_ jZ[hqbo ]jZg_c dmeZqdh\bebbo jZajm
r_gb_ Khhl\_lkl\_ggh ijbf_gbl_evgh d dmeZqdh\uf fmn
lZf\uihegyxlkylZdb_jZkqzlu
1 Ijh\_jhqguc jZkq_l gZ hlkmlkl\b_ kfylby jZ[hqbo
ih\_joghkl_cJZkqzlgZynhjfmeZ -
,][
zbh75,0
TK2000
F
d
σσ
=
]^_
T
i_j_^Z\Z_fuc fmnlhc ghfbgZevguc \jZsZx
13
sbcfhf_glGÂ f. ;109,55T
3
n
P
=
P i_j_^Z\Z_fZyfhsghklvd<l
n qZklhlZ\jZs_gbyih^dexqZ_fhc^_lZebfbg
1
;
K
F
dhwnnbpb_gl aZiZkZ mqblu\Zxsbc \hafh`gu_
^himkdZ_fu_ dhe_[Zgby ghfbgZevgh]h fhf_glZ <u[hj dh
wnnbpb_glZ \ dZdhc-lh kl_i_gb ijhba\he_g JZkijhkljZgzg
gu_ agZq_gby K
F
= 1,32, (`_eZl_evgh kh]eZkh\Zlv wlhl dh
wnnbpb_glkdjZlghklvxi_j_]jmadbf_oZgbafZ^himkdZ_fhc
ij_^hojZgbl_evgufb mkljhckl\Zfb beb k djZlghklvx fZd
kbfZevgh]h,hijhdb^u\Zxs_]h,fhf_glZ^\b]Zl_ey
d kj_^gbc^bZf_ljdmeZqdh\ff.
2)d(
+=
dd
;
z dhebq_kl\hdmeZqdh\
0,75 dhwnnbpb_gl g_jZ\ghf_jghklb gZ]jm`_gby dm
eZqdh\
b jZ^bZevgZyrbjbgZdmeZqdZff.
2)d(
=
db
h \ukhlZdmeZqdZ\ffbaf_j_ggZyiZjZee_evghhkb
fmnluijbdmeZqdZoi_j_f_gghc\ukhlukj_^gyy
1 , [1] ^_ckl\bl_evgu_b^himkdZ_fu_gZijy`_gby
gZjZ[hq_c]jZgbdmeZqdZ,FIZ
>ey j_dhf_g^h\Zgguo \ur_ fZl_jbZeh\ ihemqbeb
jZkijhkljZg_gb_ke_^mxsb_ijZdlbq_kdb_ghjfu
fmnlZ g_ \dexqZ_lky gZ oh^m
[1] =(180...220) FIZ
fmnlZ \dexqZ_lky gZ oh^m beb g_ ij_^mkfhlj_gZ
[ehdbjh\dZhllZdh]h\dexq_gby [1]  «FIZ
14
J_dhf_g^m_lky\_jogb_agZq_gby ijbgbfZlv^eyfmnl
k fZeuf qbkehf dmeZqdh\z = 35 gb`gb_ k [hevrbf
(z «b[he__
2 Ijh\_jhqguc jZkqzl gZ ba]b[gmxijhqghklv dmeZqdZ
JZkqzlgZynhjfmeZ -
[]
,
75,0
6TK2000
2
F
zbsd
h
σσ
=
]^_
s
ohj^ZevgZy rbjbgZdmeZqdZ
,
ff
,
gZhdjm`gh
klb kj_^g_]h ^bZf_ljZ b kj_^gyy ih \ukhl_ dmeZqdZ fh`_l
[ulvijb[eb`zgghjZkkqblZgZihnhjfme_
;
z2
d
S
π
=
1 , [1] ^_ckl\bl_evgu_ b ^himkdZ_fu_ gZijy`_gby
ba]b[ZFIZ;
[1] j_dhf_g^m_lkyjZkkqblu\Zlvihnhjfme_
[]
,
S
T
σ
σ
=
]^_1 ij_^_el_dmq_klbfZl_jbZeZ
S dhwnnbpb_gl aZiZkZ: ^ey fmnl \dexqZ_fuo gZ
oh^m - S = 56; ^eyfmnlg_\dexqZ_fuogZoh^m - S = 1,5.
FZl_fZlbq_kdb_aZ\bkbfhklbwlh]hjZkqzlZg_kdhevdh
mkeh\gu Hkgh\gZy jZkqzlgZy nhjfmeZ ihemq_gZ \
ij_^iheh`_gbb qlh gZ dmeZqdb ^_ckl\m_l lhevdh
ghfbgZevgZy gZ]jmadZ[_a mqzlZ ^bgZfbq_kdhc
khklZ\eyxs_c ijb \dexq_gbb gZ oh^m ijbqzf ijbeh`_gZ
hgZ d \_jrbg_ dmeZqdZ fZdkbfZevgu_ gZijy`_gby
ij_^iheZ]Zxlky m hkgh\Zgby dmeZqdZ Z jZ[hq__ k_q_gb_
15
ijbgbfZ_lky f_gvrbf gZ kj_^g_c \ukhl_ dmeZqdZ
nZdlbq_kdh_ jZ[hq__ k_q_gb_k_dlhj dhevpZ aZf_gy_lky
ijyfhm]hevgbdhf k jZaf_jhf ^ebgghc klhjhgu jZ\guf
ohj^_ k_dlhjZ beb ^ebg_ kj_^g_c ^m]b Ihwlhfm b jZkqzl
^himkdZ_fuo gZijy`_gbc ke_^m_l kqblZlv mkeh\guf Z
agZq_gby dhwnnbpb_glZ aZiZkZ ijZdlbq_kdbfb
dhwnnbpb_glZfb
Ihfbfh g_^hklZlhqghc ijhqghklb dmeZqdh\ fmnlZ
fh`_l\j_f_ggh\uclbbakljhy\ke_^kl\b_kZfh\udexq_gby
Hkgh\gZy \ulZedb\ZxsZy kbeZ F \ aZp_ie_gbb dmeZqdh\
h[mkeh\e_gZ gZdehghf jZ[hqbo ]jZg_c m dmeZqdh\
hkljhm]hevghc nhjfu HgZ l_f [hevr_ q_f [hevr_ m]he .
jbk 7) LZd dZd klj_fe_gb_ m\_ebqblv \_jhylghklv
\dexq_gby ijb\h^bl d _kl_kl\_gghfm `_eZgbx k^_eZlv wlhl
m]he \hafh`gh [hevrbf kijh_dlbjh\Zggmx fmnlm ke_^m_l
ijh\_jblvgZhlkmlkl\b_kZfh\udexq_gby
ρ
α
Jbkmghd7 JZaeh`_gb_kbe\aZp_ie_gbbdmeZqdh\
JZkqzlgZynhjfmeZ
16
,
d
1
+
d
ftg
α
]^_ f dhwnnbpb_gl lj_gby f_`^mdmeZqdZfb b \ kh
ijy`_gbb k \Zehf ih^\b`ghc ihemfmnluijbgyl h^bgZdh
\uf-
;2,01,0
f
d ^bZf_lj\ZeZ\f_kl_khijy`_gby_]hkih^\b`ghc
ihemfmnlhc;
d kj_^gbc^bZf_ljdmeZqdh\
NhjfmeZ ihemq_gZ \ ij_^iheh`_gbb qlh \ulZedb
\ZxsZy kbeZ F
a
g_ ^he`gZ ij_\hkoh^blv kbeu lj_gby \ kh
ijy`_gbb\ZeZkih^\b`ghcihemfmnlhc
DjZkqzlmfmnluhlghkblkylZd`_\u[hjhkgh\guoiZ
jZf_ljh\f_oZgbafZmijZ\e_gby
Hk_\ZykbeZQ
H
dhlhjmxgm`ghijbeh`blvdih^\b`
ghc ihemfmnl_ ^ey \dexq_gby beb \udexq_gby fmnlu ih^
gZ]jmadhcjZkkqblu\Z_lkyihnhjfme_
()
,
d
d
f
2000
++=
ρα
tg
d
T
Q
]^_! arctg f m]helj_gby
AZ\bkbfhklvihemq_gZbamkeh\byqlhkbeZ\dexq_gby
^he`gZ ij_h^he_\Zlv \ulZedb\Zxsmx kbem \ aZp_ie_gbb b
kbemlj_gby\khijy`_gbbk\Zehfih^\b`ghcihemfmnlu
?keb mkbeb_ jZ[hq_]h gZ jmdhyld_ h]jZgbqblv agZq_
gb_f F = (60G lh i_j_^Zlhqgh_ qbkeh f_oZgbafZ
mijZ\e_gby
17
,
η
F
Q
i
=
]^_DI>§«
< f_oZgbafZo mijZ\e_gby juqZ`gh]h lbiZ lj_[m_fh_
i_j_^Zlhqgh_qbkehh[_ki_qb\Z_lkyih^[hjhf^ebgujmdhyl
dbbih\h^dZ
Ijbf_jj ZkqzlZ
Kijh_dlbjh\Zlvkp_igmxdmeZqdh\mxfmnlm^eyi_j_
^Zqbk\ZeZgZk\h[h^ghgZkZ`_ggmxgZgzf^_lZevfhsghklb
Pd<lijbqZklhl_\jZs_gby nfbg JZkqzlguc
^bZf_lj\ZeZd ff<hafh`gh\dexq_gb_fmnlugZoh
^mMijZ\e_gb_fmnlhcjmqgh_
Ihjy^hdjZkqzlZ
1 IjbgylvgZjm`guc^bZf_ljfmnlud <dZ`^hfdhg
dj_lghfkemqZ_wlZ \_ebqbgZgZagZqZ_lky k mqzlhf ^bZf_ljZ
^_lZebgZdhlhjhcijb^_lkygZj_aZlvdmeZqdb^bZf_ljZ\ZeZ
(beb gZjm`gh]h ^bZf_ljZ rebp_\\ f_kl_ jZkiheh`_gby
ih^\b`ghcihemfmnlum^h[kl\Zk[hjdbbl^JZkijhkljZg_
gZghjfZ
()
.2,52 dd
>ey jZkkfZljb\Z_fh]h kemqZy ijbgbfZ_f:
.70352d2 ffd ===
2 <u[jZlv ijhnbev dmeZqdh\ G_ bkdexq_gZ j_\_jkb\
ghklv jZ[hlu fmnluijbgbfZ_f ljZi_p_b^Zevguc ijhnbev
Mqblu\Zyj_dhf_g^Zpbbbaeh`_ggu_\lZ[ebp_ijbgbfZ_f
dhebq_kl\h dmeZqdh\ z  jZ^bZevgmx rbjbgm dmeZqdh\
b=10 ff\ukhlmdmeZqdh\h ff
18
Lh]^Z \gmlj_ggbc ^bZf_lj
;50102702 ffbdd ===
kj_^gbc^bZf_lj
ff60
2
5070
2
=
+
=
+
=
dd
d
IjbgbfZ_fm]heijhnbey.º. (WJ. = 0,087).
Dhwnnbpb_gllj_gbyklZevihklZebkhkfZadhc) f=0,1
(!=arctgf=5º30').
3 Ijh\_jblvhlkmlkl\b_kZfh\udexq_gby.
.
d
1
+
d
ftg
α
Ij_^iheZ]Zy qlh ih^\b`gZy ihemfmnlZ dj_iblky gZ
\Zemkihfhsvxrebp_\h]hkh_^bg_gbyooijbgbfZ_f
^eyjZkqzlZ
45
2
4248
d
=
+
==
d
lh]^Z
;23,0
45
60
11,0
d
1
=
+=
+
d
f
tg
. = 0,087<0,23 mkeh\b_ hlkmlkl\bykZfh\udexq_
gbyh[_ki_q_gh
4 <uihegblvijhqghklgu_jZkqzludmeZqdh\
Ijh\_jdZgZba]b[gmxijhqghklv
[]
;
0,75zbS
62000
F
d
hTK
σσ
=
T=9,55 10
3
P/n = 9,55 10
3
 GÂ f
;
19
.10
92
60
z2
ff
d
S
=
=
π
π
IjbgbfZ_lky
K
F
= 1,5;
FIZ5
1010975,060
64275,12000
2
=
σ
[]
.110
6
650
S
T
==
σ
σ
<u[bjZ_lky^eydmeZqdh\klZevOp_f_glbjh\ZggZy
aZdZezggZyHRC 56:
6;S
;650
=
=
T
σ
[1] > 1 ba]b[gZyijhqghklvh[_ki_q_gZ
Ijh\_jdZgZhlkmlkl\b_kfylbyjZ[hqboih\_joghkl_c
[]
FIZ5
410975,060
275,12000
;
zbh75,0
2000TK
F
=
=
=
d
σ
σσ
IjbgbfZ_f
[
1
]
= 30 FIZ
[1] > 1 jZ[hlhkihkh[ghklvh[_ki_q_gZ
JZkqzlu ihdZau\Zxl qlh jZaf_ju dmeZqdh\ fh]ml
[ulvf_gvr_Ijb g_h[oh^bfhklbfmnlmke_^m_li_j_dhgkl
jmbjh\Zlv
5 <uihegblv jZkqzlu hkgh\guo iZjZf_ljh\ f_oZgbafZ
mijZ\e_gby
Hk_\ZykbeZg_h[oh^bfZy^ey\dexq_gbyfmnlu,
()
d
T
Q 286185,0
46
60
1,0
60
272000
tg
d
d
f
2000
=
+
=
++=
ρα
.