Ejercicio de Concreto
December 14, 2022 | Author: Anonymous | Category: N/A
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DH]OÓI DO MIN_@GC] ACMTIZ DO ZOD_MMHIG O]TZHJI] O]TZHJI] O]VHZCN MIGQOGMHIGCNO] ρ6.5? ρ6.56
MI@JHGCMHIGO] DO MCZEC (3.4*M@+3.5*MQ (3.:?*M@+3.:?*MQ+M]) (3.:?*M@+3.:?*MQ-M]) (6.8*M@+M]) (6.8*M@-M])
MI@VZO]HIG Vcrc oxphrcn Vu0ρVg0 6.2? ρ \6.2?a´m (Ce-Cst) + ay Cst)P Vcrc oxphrcn Vu0ρVg0 6.26 ρ \6.2?a´m (Ce-Cst) + ay Cst)P Mucgc `àgh`c; σ`hg06.63 Cs`hg06.63Ce Mucgc `ãxh`c; σ`ãx06.61 Cs`cx06.61Ce TZCMMHÝG DHZOMTC ρ Tg ≯ Tu Tg0 Cs ay
OKOZMHMHI 3 Dotor`hgcr nc roshstogmhc hdocn do ugc minu`gc do ?6x?6m` quo ogo 2 jcrrs do 3". a'm0 :26 Le/m`: j ?6 m` a y0 4:66 Le/m`: d ?6 m` Zomuj.. nhjro Zomuj 4 m` Ostrhji do 3/: do Dhc`otri 3.:5 m` m` c) Mi`proshig j) Trcmmhýg
Migshdorcmhigos; Minu`gc mirtc Gi cmtûcg `i`ogtis omtiros
Vriphodcdos do ]ommhýg Trcgsvorscn Ce0 :?66 m`: Cs0 46.2 m`: c) Mi`proshig Vu0ρVg0 6.26 ρ \6.2?a´m (Ce-Cst) + ay Cst)P ρ0 6.56 ostrhjis migvogmhigcn ρVg0 Vu0
4:=5:=.551 le 4:=.5:4 tig 4:=.5:4 tig (mi`proshýg)
?6
vcnir `cxh`i do mcrec og mi`proshig quo so puodo cpnhmcr c nc minu`gc c) Trcmmhýg *on migmroti yc gi trcjckc, nc roshtogmhc gi`hgcn sorã hgtoerc`ogto don Cmori ρ Tg ≯ Tu Tg0 Cs ay ρ0 6.8 T g0 ρ Tg 0
353=16 le 353.=1 tig 3?4.::4 4 tig (trcmmhýg) (trcmmhýg) 3?4.:: vcnir `cxh`i do mcrec og trcmmhýg quo so puodo cpnhmcr cpnhmcr c nc minu`gc
Okormhmhi : ]o roquhoro vorhmcr nc sheuhogto minu`gc do migmroti migmroti cr`cdi quo ogo ncs sheuhogtos mcrcmtorhsmcs; a´m0 :3 @pc :36 le/m`: a y0 4:6 @pc 4:66 le/m`: 4ρ=/4" j =6 m` d0
=6 m`
Vm`0 Vmv0 Vms
:6 tig 2 tig :? tig
=6
=6 Mcnmuni do ncs auorzcs do dhsoói dhsoói (Ijtogor Vu y Tu) Mi`jhgcmhigos do mcrec Vu-30
(3.4*M@+3.5*MQ
Vu Vu-: -:00 Vu Vu-= -=00 Vu-40 Vu-?0
(3.:? (3. :?**M@+3. @+3.:? :?*M *MQ+ Q+M] M])) (3..:? (3 :?**M@+3. @+3.:? :?*M *MQQ-M M]) (6.8*M@+M]) (6.8*M@-M])
Vriphodcdos do ]ommhýg Trcgsvorscn Ce0 Cs0
866 m`: 33.=1 m`:
Mcrec cxhcn pir mi`proshig Vu0ρVg0 6.26 ρ \6.2?a´m (Ce-Cst) + ay Cst)P
43.1 43.1 tig 16 ti tig g 36 ti tig g 4= ti tig g -5 tig
trcmmhýg
ρ0 ρVg0 ρVg0
6.56 ostrhjis migvogmhigcn 33??45.354 le le 33?.?4 .?45 5 tig 33? (Mi`proshýg) ρVg7Vu
vcnir `cxh`i do mcrec og mi`proshig quo so puodo cpnhmcr c nc minu`g
Mcrec cxhcn og trcmmhýg ρ Tg ≯ Tu Tg0 Cs ay ρ0 T g0 ρ Tg0
6.8 4553: le 45.53: tig 4:.843 vcnir `cxh`i do mcrec og trcmmhýg quo so puodo cpnhmcr c nc mi minu`gc nu`gc 4:.843 tig (Trcmmhýg) ρTg7Tu so mi`pcrc og vcnir cjsinuti
Qcrhnnc 3" =/4" ?/2" 3/:" =/2"
2ρ3"
?6
Dhc`otri (m`) Croc (m`:) :.?4 ?.36 3.86 :.24 3.?8 :.66 3.:5 3.:8 6.8? 6.53
3"0
?.36 m`:
]o mmccnmunc nncc rrooshtogmhc c mi`proshig mi migshdorcgdi qu quo on on migmroti acnnc cn cnmcgzcr ugc doair`cmhýg ughtcrhc Ɩmu06.66=, soeûg bhpitoshs don jniquo oquhvcnogto do mi`proshigos on migmroti trcjckc cn 6.2?% do a'm
=/4"0
:.24 m`:
c
DHCEZC@C] DO HGTOZCMMHIG _GHCRHCN ACMTIZ DO ZOD_MMHIG O]TZHJI] O]TZHJI] O]VHZCN MIGQOGMHIGCNO] ρ6.5? ρ6.56
MI@JHGCMHIGO] DO MCZEC (3.4*M@+3.5*MQ (3.:?*M@+3.:?*MQ+M]) (3.:?*M@+3.:?*MQ-M]) (6.8*M@+M]) (6.8*M@-M])
MI@VCTHJHNHDCD DO DOAIZ@CMHIGO] ]h Ɩs>6 , on cmori ostcrc og trcmmhýg
Ɩ/0Ɩ3/(√3)0Ɩ:/ (√:)0Ɩ=/(√=) NOXO] MIG]THT_THQC] DO NI] @CTOZHCNO] Og cmori
A.cxhcn0
Csx as
(]h on vcnir cjsinuti do nc doair`cmhig ughtcrhc os `cyir Ɩy, as04:66 ogtigmos le/m`:) (]h on vcnir cjsinuti do nc doair`cmhig ughtcrhc os `ogir Ɩy, ogtigmos as0Ɩs*Os) Os0 :x36O61
Og migmroti
Mm06.2?xa'mxjxc
c0κ3xm
MCZEC GI@HGCN (Vg) CRHCN Vg0ƨ Cxhnos0Mm+M3+M:-T= Cxhnos0Mm+M3+M:-T= @I@OGTI GI@HGCN (@g) ANOMTIZ @g0ƨ @mogtrihdo
OKOZMHMHI 3 Dotor`hgo on dhcerc`c do hgtorcmmhýg ughcxhcn pcrc ugc minu`gc do :?x?6 m`, mig 1ρ =/4"< sh a'm0:36 le/m`:, ay0 4:66 le/m`:, romujrh`hogti 4m` y ostrhjis do ρ =/2"
1ρ=/4"
=/4"0
:?
:.24 m`:
Cs= :?
R
?6
DCTI] j0 d0 a'm0 a y0 romuj0 ostrh. ρ =/2"
:? m` ?6 :36 le/m`: 4:66 le/m`: 4 m` 6.8? mm` `
T=
Vriphodcdos do ]ommhýg Trcgsvorscn Ce0 3:?6 m`: Cs0 35.64 m`:
Vrh`or Vugti Gitcjno
(Mcrec cxhcn `cxh`c gi`hgcn)
Mi`proshig Vu0ρVg0 6.26 ρ \6.2?a´m (Ce-Cst) + ay Cst)P ρ0 6.56 ostrhjis migvogmhigcn Vg0 :831?3.=1 le 6.26xVg0 :===:3.622 le ρVg0 :643??.8?: le le ρx6. ρx6.26 26xV xVg0 g0 31== 31==:4 :4.5 .51: 1: le
:8: : tg :8 :== :== tg :64 :64 tg 31= 31= tg
]oeugdi Vugti Gitcjno (Trcmmhýg `cxh`c gi`hgcn) Trcmmhýg ρ Tg ≯ Tu Tg0 Csx ay ρ0 6.8
T g0 ρ Tg0
53?12 le 1? ti tig g
Tormor Vugti Gitcjno
5: ti tig g
(Acnnc Jcngmocdc)
MI@VCTHJHN y Cs =
Cs 3 1ρ=/4"
Cs :
=/4"0
:.24 m`:
:?
6,66=/0Ɩ (√:?)0(√ Og cmori
R m0 ?6 1 m` :? m` 44m`
Ɩs30 m Ɩs:0 m Ɩs:0 m Og migmroti
Mm06.2?xa'mx κ30 c0
T= c/:
Mm0
M: Mm
M3
BCNNCGDI CRHCN Vg0ƨ Cxhnos0 Vg0 ρVg0
@I@OGTI ANOMTIZ
@g0ƨ @mogt @g0 ρ@g0
Mucrti Vugti Gitcjno
(Anoxhig Vurc)
]h Ɩs>6 , on cmori ostcrc og trcmmhýg
MI@VCTHJHNHDCD DO DOAIZ@CMHIGO] Ɩu0 Ɩs0 Os0
6,66=/0Ɩ3/(√1)0Ɩ:/ (√:?)0(√6.66:3)/(√44)
6.66= 6.66:3 :666666
Og cmori
m0
8.=1 m` as0Ɩs*Os
Ɩs30 m
6.6633 8.=1
as0Ɩs*Os
::66 le/m`:
M30
Ɩs:0 m
-6.66?6 8.=1
as0Ɩs*Os0
-4:66 le/m`:
M:0
Ɩs:0 m
-6.6333 8.=1
as0
-4:66 le/m`:
M:0
Og migmroti
Mm06.2?xa'mxjxc κ30 c0 Mm0
c0κ3xm 6.2? 5.81 m` =??6=.1? le
=?.?6 =?. ?6 tg
BCNNCGDI MCZEC GI@HGCN (Vg) CRHCN Vg0ƨ Cxhcnos0Mm+M3+M:-T= Cxhcnos0Mm+M3+M:-T= Ijsorvcmhýg; Vg0 ρVg0
6.66 6.66 tg 6 tg
@I@OGTI GI@HGCN (@g) ANOMTIZ @g0ƨ @mogtrihdo
]o puo puodo do ijs ijsor orvc vcrr nis nis vcni vcniro ross do mcr mcrec ec gi` gi`hh ]h on cxhcn ostc og og on hgtorvc hgtorvcni ni do 6 c :1 tig o ρ sorhc ogtro 6.5 c 6.8 ]h on cxhcn os 6, ρ06.8
Os domhr sh Vg03=tig, on acmtir sorc ρ06.2
@g0 ρ@g0
34.66 tig 34.66 tig.` .` 3= tig tig.` .`
ITZI] DCTI] On dhcerc`c dhcerc`c do hgtorcm hgtorcmmhigo mhigoss pidrhc pidrhc sor sor `cs ckustcdc ckustcdc mig mig `cyiros `cyiros vcniros, vcniros, hgmro hgmro`ogtc `ogtcgdi gdi nc nc mcgdcd mcgdcd do do mcnm mcnm m0 m0
:?.22 ` 8.=1 `
acnnc jcncgmocdi oxhig purc
ogtigmos. sh m7:?,22 m`, nc acnnc og nc sommhýg trcgsvorscn sorc pir mi`proshýg sh, 8.=1> m > :?,22 m`, nc acnnc sorc pir oxhig sh, m > 8.=1 m`, nc acnnc og nc sommhýg trcgsvorscn sorc pir trcmmhýg ƨ Cxhcnos>6 Vcrc cgcr on dhcerc`c do hgtorcmmhig so tcjunc tros pugtis cdhmhigcnos ]h m0
=: m`
]h Ɩs>6 , on cmori ostcrc og trcmmhýg
MI@VCTHJHNHDCD DO DOAIZ@CMHIGO] Ɩu0 Ɩs0 Os0
6,66=/0Ɩ3/(√1)0Ɩ:/ (√:?)0(√6.66:3)/(√44)
6.66= 6.66:3 :666666
Og cmori
m0
=: m` as0Ɩs*Os
Ɩs30 m
6.66:4 =:.66
as0
4:66 le/m`:
M30
Ɩs:0 m
6.6665 =:.66
as0Ɩs*Os0
3466 le/m`:
M:0
Ɩs:0 m
-6.6633 =:.66
-::66 le/m`:
M:0
Og migmroti
Mm06.2?xa'mxjxc κ30 c0
c0κ3xm 6.2? :5.:6 m`
as0
Mm0
3:3=26 le
3:3.=2 3:3. =2 tg
BCNNCGDI MCZEC GI@HGCN (Vg) CRHCN Vg0ƨ Cxhcnos0Mm+M3+M:-T= Cxhcnos0Mm+M3+M:-T= Vg0 ρVg0
343.66 343.66 tg 88tg
@I@OGTI GI@HGCN (@g) ANOMTIZ @g0ƨ @mogtrihdo @g0 :3.66 :3.66 tig tig.` .` ρ@g0 3? tig tig.` .`
]h m0
3? m`
]h Ɩs>6 , on cmori ostcrc og trcmmhýg
MI@VCTHJHNHDCD DO DOAIZ@CMHIGO] Ɩu0 Ɩs0 Os0
6,66=/0Ɩ3/(√1)0Ɩ:/ (√:?)0(√6.66:3)/(√44)
6.66= 6.66:3 :666666
Og cmori
m0
3? m` as0Ɩs*Os
Ɩs30 m
6.6632
as0Ɩs*Os
=166 le/m`:
M30
3?.66
Ɩs:0 m
-6.66:6 3?.66
as0Ɩs*Os0
-4666 le/m`:
M:0
Ɩs:0 m
-6.66?2 3?.66
as0
-4:66 le/m`:
M:0
Og migmroti
c0κ3xm Mm06.2?xa'mxjxc κ30 6.2? c0 3:.5? m` Mm0 ?1281.25? le
?1.86 ?1. 86 tg
BCNNCGDI MCZEC GI@HGCN (Vg) CRHCN Vg0ƨ Cxhcnos0Mm+M3+M:-T= Cxhcnos0Mm+M3+M:-T= Vg0 ρVg0
=3.66 =3.66 tg ::tg
@I@OGTI GI@HGCN (@g) ANOMTIZ @g0ƨ @mogtrihdo @g0 38.66 38.66 tig tig.` .` ρ@g0 3= tig tig.` .`
]h m0
? m`
]h Ɩs>6 , on cmori ostcrc og trcmmhýg
MI@VCTHJHNHDCD DO DOAIZ@CMHIGO]
Ɩu0 Ɩs0 Os0
6,66=/0Ɩ3/(√1)0Ɩ:/ (√:?)0(√6.66:3)/(√44)
6.66= 6.66:3 :666666
Og cmori
m0
? m` as0Ɩs*Os
Ɩs30 m
-6.6661 ?.66
as0Ɩs*Os
-3:66 le/m`:
M30
Ɩs:0 m
-6.63:6 ?.66
as0
-4:66 le/m`:
M:0
Ɩs:0 m
-6.6:=4 ?.66
as0
-4:66 le/m`:
M:0
Og migmroti
Mm06.2?xa'mxjxc c0κ3xm κ30 6.2? c0 4.:? m` Mm0 3281?.1:? le
32.85 32. 85 tg
BCNNCGDI MCZEC GI@HGCN (Vg) CRHCN Vg0ƨ Cxhcnos0Mm+M3+M:-T= Cxhcnos0Mm+M3+M:-T= Vg0 ρVg0
-=1.66 -=1.66 tg -= -=: : tg
@I@OGTI GI@HGCN (@g) ANOMTIZ @g0ƨ @mogtrihdo @g0 2.66 2.66 tig tig.` .` ρ@g0 5 ti tig. g.` `
Migshdorcmhigos
Qcrhnnc 3" =/4" ?/2" 3/:" =/2"
Dhc`otri (m`) Croc (m`:) :.?4 ?.36 3.86 :.24 3.?8 :.66 3.:5 3.:8 6.8?
6.53
MI@VZO]HIG Vcrc oxphrcn Vu0ρVg0 6.2? ρ \6.2?a´m (Ce-Cst) + ay Cst)P Vcrc oxphrcn Vu0ρVg0 6.26 ρ \6.2?a´m (Ce-Cst) + ay Cst)P Mucgc `àgh`c; σ`hg06.63 Cs`hg06.63Ce Mucgc `ãxh`c; σ`ãx06.61 Cs`cx06.61Ce
Cs3
s:
R
?6
1 m` :?m` 44m`
c/:
: Mm
M3
HDCD DO DOAIZ@CMHIGO] Ɩu0 Ɩs0 O s0
3/(√1)0Ɩ:/ 6.66:3)/(√44)
6.66= 6.66:3 :666666
]h Ɩs>6 , on cmori ostcrc og
:? :?.2 .22 2 m` as0Ɩs*Os 6.66:= :?.22
a s0
6.6663 :?.22
as0Ɩs*Os0
-6.66:3 :?.22
xc
a s0
M30
:=2?1
:66 le/m`:
M:0
33=1
-4:66 le/m`:
M:0
-:=2?1
c0κ3xm 6.2? ::.66 8235? 823 5? le
82.32 82. 32 tg
CZEC GI@HGCN (Vg)
4:66 le/m`:
Mcrec do vorhmcmhýg 6.3 ∘ a › m ∘ Ce0
:1:?6 le le
:1
m+M3+M:-T= ]h nc cxhcn cxhcn os su supo porh rhir ir c :1 :1 ttig ig ogti ogtigm gmos os on ac acmt mtir ir do rosh roshtt 88.=3 tg 56tg
I@HGCN (@g)
88.66 tg
ihdo
::.23 tig.` 31 tig tig.` .`
:=.66 tg
3:481 3:4 81 le
3:.?6 tig (mi`proshýg)
-:=2?1 -:=2 ?1 le
-:=.21 tig (trcmmhýg) (trcmmhýg)
-:=2?1 -:=2 ?1 le
-:=.21 tig (trcmmhýg) (trcmmhýg)
gcn vcrhcg og augmhig do "m" g mi`proshig, on acmtir do rodummhig do roshstogmhC
nis mig nc vcrhcjno "m"
:=2?1 :=2 ?1 le
:=.21 tig (mi`proshýg)
58?: 58? : le
5.8? tig (mi`proshýg)
-3:481 -3:4 81 le
-3:.?6 tig (trcmmhýg) (trcmmhýg)
:6442 :64 42 le
:6.4? tig (mi`proshýg)
-::5:6 -::5 :6 le
-::.5: tig (trcmmhýg) (trcmmhýg)
-:=2?1 -:=2 ?1 le
-:=.21 tig (trcmmhýg) (trcmmhýg)
-1 -123 231 1 le
-1.2: tig (mi`proshýg)
-:=2?1 -:=2 ?1 le
-:=.21 tig (trcmmhýg) (trcmmhýg)
-:=2?1 -:=2 ?1 le
-:=.21 tig (trcmmhýg) (trcmmhýg)
IKI; Vcrc ug juog dhsoói ogo quo ostcr dogtri do nc roshstogmhc do dhsoói sh on dhsoói gi os on osporcdi so puodo cu`ogtcr nc mucgc mig mc`jhi do dhc`otri do cmori og nis oxtro`is
4ρ3"
:ρ=/4"
TZCMMHÝG DHZOMTC ρ Tg ≯ Tu Tg0 ρ 0 Cs 6.8ay
trcmmhýg
le
:=.21 tig (mi`proshýg) (mi`proshýg)
le
3.34 tig (mi`proshýg) (mi`proshýg)
le
tig
gmhc os ρ06.56
-:=.21 tig (trcmmhýg) (trcmmhýg)
CMOZI ZOS_OZHDI OG MIN_@GC]
MI@JHGCMHIGO] DO MCZEC (3.4*M@+3.5*MQ (3.:?*M@+3.:?*MQ+M]) (3.:?*M@+3.:?*MQ-M])
Qcrhnnc
Dhc`otri (m`) Croc (m`:) :.?4 ?.36 3.86 :.24 3.?8 :.66
3" =/4" ?/2"
((6 6..8 8**M M@ @+-MM]]))
3 =//: 2""
3 6..: 85 ?
y 6.42
6.== R
6.4?
6.1
Vcrc (@u y-y< Vu)
Vcrc (@u x-x< Vu)
t0 j0 et0 e0
16 4? 42 6.2
0( √)/
t0 j0 et0 e0
4? 16 == 6.5=
0( √)/
OKOZMHMHI 3 Dotor`hgo nc cr`cdurc roquorhdc pcrc ugc minu`gc do 16x16 m` si`odc c ncs shehogtos mcrecs. a'm0 :36 le/m`:
M@ MQ M] Vcrc (@u x-x< Vu)
MCZEC CR CRHCN (t (tig) :3? 1? 4?
@I@OGTI AN ANOMTIZ xx-x ((ttig.`) 3: ? ??
3 6..: 58 3
t0 j0 et0 e0
16 16 42 6.26
16
0( √)/
Migjhgcmhýg do Mcrecs G¶ M3 M: M= M4 M?
Migjhgcmhýg do Mcrecs (3.4*M@+3.5*MQ (3.:?*M@+3.:?*MQ+M]) (3.:?*M@+3.:?*MQ-M]) (6.8*M@+M]) (6.8*M@-M])
V_
@_ 433.? =8? =6? :=2.? 342.?
l
o :?.= 51.:? -==.5? 1?.2 -44.:
1.3? 38.=6 33.65 :5.?8 :8.51
6.?4 6.?: 6.46 6.=: 6.:6
hgcmhigos ujhmcdcs og on cjcmi nc mucgc roquorhdc vc sor 4% Cs roq0 ρ3" Cs minimcdi0 Cs min0
344 ?.36
m`: m`:
16
:2.:4 =6ρ3"
16
OKOZMHMHI : MI@VIZTC@HOGTI X DH]OÓI DO MIGMZOTI
DCTI]; d'0 a'm0
2 m` :36 le/m`:
Mcrec Cxhcn (Tig) M@; Mcrec @uortc MQ; Mcrec Qhvc M]; ]hs`i
MI@JHGCMHIGO] 3.4*(M@)+3.5*(MQ) M@)+3.:?*(MQ)+M] M@)+3.:?*(MQ)-M]
8? 4? =6
V_
6.8*(M@)+M] 6.8*(M@)-M]
MI@JHGCMHIGO]
@i`ogti omtir R-R (Tig.`) 4? 3? =?
V_
@_ x-x
ox
lx
:68.? :6? 34?
22.? 336 46
4:.:4 ?=.11 :5.?8
6.:3 6.:6 6.34
33?.? ??.?
5?.? ?.?
1?.=5 8.83
6.33 6.61
@_ y-y
oy
ly
3.4*(M@)+3.5*(MQ) 3.:?*(M@)+3.:?*(MQ)+M] 3.:?*(M@)+3.:?*(MQ)-M] 6.8*(M@)+M] 6.8*(M@)-M]
:68.? :6? 34? 33?.? ??.?
2= 8=.5? 4=.5? ?1.? 1.?
=8.1: 4?.5= =6.35 42.8: 33.53
6.:3 6.:6 6.34 6.33 6.61
IKI;
Vcrc quo soc `cs omhogto t`cyir c j
16 R
l*o/t 6.61 6.35 6.65 6.3? 6.36
Cs min0 σ su`hghstrcdc0
:2ρ3" =.85%
Zopuostc vcnhdc, yc quo soeûg ncs migjhgcmhigos ujhmcdcs og on cjcmi so roquhoro ugc mucgc cprixh`cdc`ogto do =.?%
Vcrc (@u x-x< Vu)
@i`ogti omtir X-X (Tig.`) =? :6 :?
t0 j0 et0 e0
16 m` 26 m` 44 6.5= ]o trcjckc mig cjcmi do 6.
Vcrc (@u y-y< Vu) t0 j0 et0 e0
26 m` 16 m` 14 6.26 ]o trcjckc mig cjcmi do 6.
lx*ox/tx 6.3? 6.32 6.65 6.3: 6.63
Cs roq0 Cs roq0 Cs roq0
ly*oy/ty
38: m`: =5.1 =2 Ƿ 3"
6.36 6.3: 6.6? 6.65 6.63
Cs roq0 Cs roq0 Cs roq0
81 m`: 32.2 38 Ƿ 3"
5=
26
ANORI MI@VZO]HÝG JHCRHCN
(ZGO GT O-616)
BHVITO]H] 3 Osproshýg vcnhdc pcrc Vu7ρ*6.3*Vig ANORHÝG JHCRHCN Cntorgcvc`ogto so pidrã uscr nc sheuhogto omucmhýg cprixh`cdc, cpnhmcjno c minu`gcs mucdrcdcs i romtcgeuncros mig cr`cdurc nigetudhgcn sh`otrhmc.
3/ 03/+3/√3/
ρVg7Vu Digdo; Vg0 Vg Vgx0 x0 Vg Vgy0 y0 Vig0 Vig0
os nncc ro roshstogmhc g gi i`hgcn c mcrec cx cxhcn og o oxhýg jh jhcxh xhccn. os nc rosh roshst stog ogmh mhcc gi` gi`hg hgcn cn jcki jcki nc cmmh cmmhig ig do `i`o `i`ogt gti iû ûgh ghmc mc`o `ogt gtoo oog g R (o (oy0 y06) 6) os nc rosh roshst stog ogmh mhcc gi` gi`hg hgcn cn jcki jcki nc cmmh cmmhig ig do `i`o `i`ogt gti iû ûgh ghmc mc`o `ogt gtoo oog g X (o (ox0 x06) 6) os nc rosh roshst stog ogmh mhcc g gi` i`hg hgcn cn jc jcki ki nc cmmh cmmhýg ýg do mcrec mcrec cxhc cxhcnn ugh ughmc mc`o `ogt gtoo ((ox ox0o 0oy0 y06) 6) qu quoo ssoo mcnmunc `odhcgto; 6.2?*a'm*(Ce-Cst)+ay*Cst
IKI;
Osproshýg vcnhdc pcrc Vu7ρ*6.3*Vig
BHVITO]H] : Osproshýg vcnhdc pcrc Vu>ρ*6.3*Vig ]o uscrc nc sheuhogto omucmhýg;
/(ǹ" " )+/(ǹ" " )≤3.6 digdo ǹ@gx y ǹ@gy sig ncs roshstogmhcs do dhsoói do nc sommhýg mig rospomti c nis okos Ro X rospomvc`ogto. Nc omucmhýg os cpnhmcjno tc`jhog cvhecs si`odcs c oxhig jhcxhcn.
OKOZMMHI 3 a´m0 a y0
:36 le/m`: 4:66 le/m`:
Vcrc (@u x-x< Vu) t0 j0 et0 e0
16 26 42 6.26
Cs roq0 Cs roq0 Cs roq0
38: =5.1 =2
0( √)/ BHVITO]H] 3
Vcrc mi`jhg Vu0 lx0 ly0 ρ0 Vrip Vripho hodc dcdo do Ce0 Cst0 Mcnmuni don V Vig06.2?*a'm Vig0 Qorhmcmhýg Qorhmcmh ýg s Vu7ρ*6.3*V :36 Mcnmuni don V ϟVgx 0L ∘ a›m Vgx0 Mcnmuni don V ϟVgy 0L ∘ a›m Vgy0
Vcrc (@u y-y< Vu) t0 j0 et0 e0
0( √)/
16 4? 42 6.2
MI@JHGCMHIGO] 3.4*(M@)+3.5*(MQ) 3.:?*(M@)+3.:?*(MQ)+M] 3.:?*(M@)+3.:?*(MQ)-M] 6.8*(M@)+M] 6.8*(M@)-M]
V_
@_ y-y :68.? :6? 34? 33?.? ??.?
2= 8=.5? 4=.5? ?1.? 1.?
?.
m`: Ƿ 3"
MI@JHGCMHIGO] 3.4*(M@)+3.5*(MQ) 3.:?*(M@)+3.:?*(MQ)+M] 3.:?*(M@)+3.:?*(MQ)-M] 6.8*(M@)+M] 6.8*(M@)-M]
Osproshýg vcnhdc pcrc Vu7ρ*6.3*Vig
V_
@_ x-x
ox
lx
:68.? :6? 34? 33?.?
22.? 336 46 5?.?
4:.:4 ?=.11 :5.?8 1?.=5
6.:3 6.:6 6.34 6.33
??.?
?.?
8.83
6.61
cmhýg 3.4*(M@)+3.5*(MQ) :36 tig 6.?2 6.2: 6.5 s do ]ommhýg Trcgsvorscn
Mcnmuncgdi Vg
3/ 03/+3/√3/
4266 m`: 4266 m`: 38 384 4 m`: m`:
Vg0 ρVg7Vu
ig *(Ce-Cst)+ay*Cst
428
31=5 tig g 31=5 ti
31=1853 31= 1853 le h nc nc oxproshýg oxproshýg os vcnhdc vcnhdc g 7
33? QCNHDC
gx ∘j∘t
2=?:66 2=? :66 le
2=? tig g 2=? ti
3326266 332 6266 le
3323 3323 ti tig g
gy ∘j∘t
¹Oxhsrã ugc mcrec Vu hgaorhir c ρ6.3Vig9
oy
ly =8.1: 4?.5= =6.35 42.8: 33.53
182 tig
ly*oy/ty 6.:3 6.36 6.:6 6.3: 6.34 6.6? 6.33 6.65 6.61 6.63
7
:36
BHVITO]H] : Osproshýg vcnhdc pcrc Vu>ρ*6.3*Vig Vcrc mi`jhgcmhýg 6.8*(M@)-M] Vu0 :36 tig Lx*ox/tx0 6.32 Ly*oy/ty0 6.:3 ρ0 6.5 Mcnmuni do
@gx
ϟgx0Lx*ox/tx∘ ›m ∘ ∘ tW:
ϟ@gx0 ux 0 Mcnmuni do
36221466 le le.m` ?.? tig tig.` .`
368 tig tig.` .`
@gy
ϟgx0Ly*oy/ty∘ ›m ∘ ∘ tW:
ϟ@gy0 uy 0
318=4466 le le.m` 1.? tig tig.` .`
318 tig tig.` .`
/(ǹ" " )0/(ǹ" " )≤3.6 /368+1.?/318≤3.6
6.68
≤
3
lx*ox/tx 6.3? 6.32 6.65 6.3: 6.63
ρVg7Vu
Dotor`hgo nc cr`cdurc roquorhdcd roquorhdcd pcrc ugc minu`gcg 26x16 m` d'0 2m` si`odc c ncs suheuhogtos mmcre cre Mcrec Cxhcn (Tig) DCTI]; a´m0 a y0
M@; Mcrec @uortc MQ; Mcrec Qhvc M]; ]hs`i
:36 le/m`: 4:66 le/m`:
8? 4? =6
y Vcrc (@u y-y< Vu) t0 j0 et0 e0
26 16 12 6.2?
26 R
0( √)/ 16
MI@JHGCMHIG 3.4*(M@)+3.5*( 3.:?*(M@)+3.:?*(M 3.:?*(M@)+3.:?*( 6.8*(M@)+M] 6.8*(M@)-M]
s @i`ogti omtir R-R (Tig.`) 4? 3? =?
O] Q) Q)+M] Q)-M]
V_
@i`ogti omtir X-X (Tig.`) =? :6 :?
@_ x-x :68.? :6? 34? 33?.? ??.?
2= 8=.5? 4=.5? ?1.? 1.?
ox
lx =8.1: 4?.5= =6.35 42.8: 33.53
lx*ox/tx 6.:3 6.36 6.:6 6.3: 6.34 6.6? 6.33 6.65 6.61 6.63
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