2.-Projektni-Tacka-2.2

8/19/2019 2.-Projektni-Tacka-2.2

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Strana 1. od 14

2,1. PRORAČUN RUČNE DIZALICE.

2.1.1 Odre đ evanje aksijalne sile u vreenu

Za našu dizalicu vrijedi F=F=60 kN

2.1.2. Di!en"i#nisanje nav#jn#$ vreena.

1ξ = 0.8

2ξ =0.76 F = 60 kN = 60 000 N S = 1,8

vσ =350 MPa ( 1.37 Smi!v dija"ram za #.06$5 % &&&&&&&&&&&&&&&&&&&&&&&&

)( DOZ P P

A

F σ σ ≤=

S d

F vσ

ξ ξ π 211

4

≤

π σ ξ ξ v

FS d

21

1

4≥

14,335076.08.0

8.16000041 ⋅⋅⋅

⋅⋅≥d

192.668

4320001 ≥d

mmd 4.251 ≥


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Strana 2. od 14

'vajam! (a)ela $.*% + d1=*5.706mm , -=1./$ mm d*=*7.7*7mm, =51/ mm*

P=3.5 mm , ϕ =*,3$ ( u"a! na"i)a %d=30 mm

2.1.% Pr#vjera sl#&en#$ na'#nsk#$ sanja.

1ξ = 0.8 F = 60 kN = 60 000 N S = 1.8

vσ =350 MPa za #.06$5 d = 30mm d1 = *5.706mm

d* = *7.7*7mm P= 3.5 mm µ = 0.1 &&&&&&&&&&&&&&&&&&&&&&&&

)(

2

2

DOZ P u

D

D P i σ τ

τ

σ σ σ ≤

⋅+=

3.2

14.375.45

8

2

=

⋅=

= arctg

d

P arctg

π α

( ) ( ) 71.51.0 === arctg arctg µ ϕ

MPad

F P 7.115

9.2074

240000

14.3706.25

600004422

1

==⋅

⋅==

π σ

MPa

S

v DOZ P D 55.155

8.1

3508.01)( =⋅===

σ ξ σ σ

( ) MPa

d

tg d F

W

M

O

O

u 9.3456.53337

4.186325416

2

1

3

1

2

==⋅

⋅+⋅⋅⋅==

π

ϕ α τ

MPa

S

v D 3.93

8.1

3506.08.0

6.01 =

⋅⋅=⋅=

σ ξ τ

MPai 5.1299.343.93

55.1557.115

2

2 ≤

⋅+=σ


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Strana 3. od 14

MPa55.1555.129 ≤

2.1.( Pr#vjera '#vr)insk#$ 'riiska u nav#jn#! s'#ju.

#.06$5 Pd = 11MPa ( za v=3002500 MPa % d* = *7.7*7mm -1= 1./$mm &&&&&&&&&&&&&&&&&&&

d P

H d z

F P ≤

⋅⋅⋅=

12 π

423.41

1.1451

60000

894.114.3727.2711

60000

12

≈==⋅⋅⋅

=⋅⋅⋅

= H d P

F z

d π

( uv!jim! $* %

7.8894.114.3727.2742

60000

12

=⋅⋅⋅

=⋅⋅⋅

= H d z

F P

π

P ≤P d

2.1.*. Pr#vjer nav#jn#$ vreena na i"vijanje.

d1= $1./mm = 300mm &&&&&&&&&&&&&

mini

Lr =λ

4265.6

4

706.25

4

1min ===

d i

mm L Lr 7002 =⋅=

9.1084265.6

700

min

===i

Lr λ

95>λ - provjera se vrši po Euler-u :

σ λ

π

⋅

⋅=

2

2 E S izv

E [ ] MPa -modul elasti!osti materijala vrete!a, "a #.06$%


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Strana 4. od 14

E=&.1 10 % '(a

MPa A

F 4.57

1045

60000===σ

Si"v =).1 * uslov ispu!je! +

d1=)6.$7mm, d & =).077mm, d=$&mm =&.$)6mm, (=$.%mm

2.1.+. Pr#vjera sa!#k#iv#si.

P = $.5

d* = 3/.077mm µ = 0.1

ϕ α <

29.214.3077.39

5.4

2

=⋅

=

=

π α

d

P arctg

( ) ( )

71.51.0' === arctg arctg µ ϕ

71.529.2 < -/slov je ispu!je!.


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Strana 5. od 14

2.1.-. Pr#raun navrke.

2.1.- Pr#raun navrke.

P = $.5mm 4 = $*mm &&&&&&&&&&&&

5.1035.423 =⋅=⋅= P z H

238.22

3.2630

60000

436.214.3077.398.8

60000

12

≈==⋅⋅⋅

=⋅⋅⋅

= H d P

F z

d π

Pd = 0. ∙11 =.

2.1.. Pr#vjera na'#na na 'riisak i s!i/anje ijela navrke

id ≥1,*d =1,* $*=50.$ mm


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Strana 6. od 14

( )π 22

4

iedod d d

F

A

F p

−==

≤ d p

24i

d

e d

p

F d +

⋅≥

π [ ]mm

mmd e 42.10616.25407.814.3

600004=+

⋅⋅

≥

(=8.7 '(a

2,1,.2 Pr#raun navrke na s!i/anje.

di = 50.$ mm - = 103.5 mm F = 60 kN &&&&&&&&&&&&&&

)( DOZ S S τ τ ≤

MPa

d H

F

A

F

i

S 105.614.34.501.624.0

60000

4.0=

⋅⋅⋅=

⋅⋅⋅==

π τ

MPa

S

V DOZ S 3.936.0)( ==

σ τ

MPa MPa 3.93105.6 ≤ - 'oe i"drati

2.1.0. Pr#raun se'ena isk#ri)enja nav#jn#$ 'ren#snika.

=α

*.*/

=ϕ 5.71

mm

d d sr 21

2==

d* = 3/.077mm µ = 0.1 &&&&&&&&&&&&&

( )21.0

194.0

04.0

054.014.0

04.0

2

==+

=⋅++

= µ δ α

α η

d

d tg

tg

sr

-skorište!je !avoj!o2 pre!os!ika i"!osi &13.


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Strana 7. od 14

2,1,1, Pr#raun rui/e

= 160mm S = 1.

=V σ &% 'pa * 1.)8 Smitov dija2ram "a #.0$$%+ -kod 1&3 preoptere4e!ja

=⋅=== R F M M M r r OS 16$1&).$Nmm

F r = Mr

R=10&%.8

)( DOZ S S σ σ ≤

S W

M v

X

S σ ⋅≤ 2.1

S d

M vS σ ⋅≤⋅

2.132

3

mmS M

d v

S 2.216.952364.617

4.5882182

2.129514.3

8.112.12.18381832

2.1

11.132 3333 ===⋅⋅

⋅⋅⋅=

⋅⋅⋅⋅⋅

≥σ π

mmd 2.21≥


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Strana 8. od 14

2,2. PRORAČUN ELA3IČNO4 5I67A

2.2.1. Određivanje radne sile '# jedn#! vijku.

Z = 3F = 30 kN = 30000 N &&&&&&&&&&&&&&&&&

k Z

F F r 10

3

30===

2.2.2. Određivanje sile 'rie"anja '# jedn#! vijku.ijak 1*./. (a)ela $.6%

MPav 1080=σ MPa A 70=σ

Fr = 10 kN &&&&&&&&&&&

5=r

o

F

F

k F F r o 501055 =⋅=⋅=

2.2.%. Di!en"i#nisanje elasin#$ vijka.

F! = 50 kN MPav 1080=σ

S = 1.3 (uvajam!%8 = 75 mm &&&&&&&&&&&&

)( DOZ Z Z σ σ ≤


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Strana 9. od 14

s

Z A

F =σ

S

v DOZ Z

σ σ =)(

S d F v

s

o σ π

≤24

mmS F

d v

o s 76.87.76

108014.3

3.15000044==

⋅⋅⋅

=⋅

⋅⋅=

σ π

mmd

d s 7.99.0

1 == * d1=/.7mm, d*=10.5mm, d=1*mm, P=1,5%

mmd H 2.7126.06.0 =⋅=⋅=

mm H X 6.32.75.05.01 =⋅=⋅= mm H X 2.72 ==

mm H X X L 182.76.32.7121 =++=++=mm X L L p 8.672.77522 =−=−=

2.2.(. O8ri !#!en 'rie"anja elasin#$ vijka.

d* = 10.5 mmF! = 50 kNP = 1.5 mm

= µ 0.14! = 13.* mmS = 1/ mm &&&&&&&&&&&&

µ M M M o +=

( ) mmtg d

F M o! 3797514.0425.5500002

2 =⋅⋅=+⋅⋅= ϕ α

( )

52.2044.014.385.10

5.1

2 ==

⋅=

⋅= arctg arctg d P

arctg π α

7.5== µ ϕ arctg

mm DS

d sr 1.162

2.1319

2=

+=

+=

mmd

F M sr o 402501.02

1.1650000

2=⋅⋅=⋅⋅= µ µ

m M M M o 225.78250.40975.37 =+=+= µ


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Strana 10. od 14

2.2.*.Određivanje kru#si ele!enaa.

2.2.*,1. Određivanje kru#si vijka

9v = *.1 ⋅105 MPa

1 = 1 mm * = 67. mm d1 = /.7 mm d = .76 mm d =1* mm - = 7.*mm &&&&&&&&&&&&&&&&

! g sv " " " "

1111

++=

+⋅=

2

2

1

111

A

L

A

L

E " vv

2

2

11 86.73

4

14.309.94

4mm

d A =

⋅==

π

222

2 24.604

14.376.8

4mm

d A s =

⋅==

π

( ) 51065.0125.124.010000.2

1

24.60

8.67

86.73

18

210000

11 −⋅=+⋅=

+⋅=v"

5

1065.01 −⋅=v"

mm

" v 54.1=

2.2.*,2. Određivanje kru#si 'l#a,

9v = *.1 ⋅105 MPa 4! = 13.* mm

251 =α

S = 1/ mm 8 = 75 mm &&&&&&&&&&&&&&&&&


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Strana 11. od 14

( ) ( )( ) ( )

( )( )

mm

Dtg LS DS

Dtg LS DS

tg D E "

o po

o po

o p

p

5

1

1

1

1083.1643.2

4091000

248,32308.5

2.1325.35192.32log6,4

47,01914,3210000

log6,4

⋅==++⋅−+⋅⋅

⋅⋅⋅

=

=

+⋅+⋅−

−⋅+⋅+⋅

⋅⋅⋅=

α

α

α π

2.2.+. Cranje de9#r!a/i#ni: dija$ra!a.

mm

" v 154000=

mm

" p 1683000=

F! = 50 kN Fr = 10 kN &&&&&&&&&&&&&&

5105.32467154000

50000 −⋅===v

ov

"

F λ

51088.29701683000

50000 −⋅=== p

o p

"

F λ

31044.5183700010000 −⋅==+=∆ pv

r

" " F λ

P#ve;anje sile u vijku uslijed radne sile<

pv

vr vv

cc

c F c F

+=∆⋅=∆ λ

[ ]

F v 8.87800544,01054.31 5 =⋅⋅=∆ N

!anjenje sile u s'#jeni! dijel#vi!a uslijed radne silei!alna sila u vijku<

r

pv

vovov F

" "

" F F F F ⋅

++=∆+=

F v 32.5083832.83850000 =+=


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Strana 12. od 14

ila u s'#jeni! dijel#vi!a nak#n djel#vanja radne sile<

r

pv

p

o po p F " "

" F F F F ⋅

+−=∆−=

F p 68.4916132.83850000 =−=

k! ne :elim! da narušim! ;ermei p F .

rii


13/14

Strana 13. od 14

F a 9.4182

8.837==

95.6=a

σ MPa

Na'#n na uvijanje<

ud

o

uu

W

M τ τ ≤=

MPa zd ud 48.4988.8306,06,0 =⋅=⋅= σ τ

( )[ ] µ ρ α sr o

u d d tg F

M ++= 22 [ ] m

16

3π ⋅

= sd

Wo 28!larni m!men najmanje" 8rejeka a)la vijka

sd 2najmanji 8re


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Strana 14. od 14

MPa MPa 8.83047.902 ≤ 2ul!v nije i8unjen.

2.2.. aiki se'en si$urn#si.

vσ = 100 MPa

Z σ = 30.01 MPa

vτ = $/.$ MPa

uτ = *1*,17 MPa &&&&&&&&&&&&&&

3.101.830

1080===

Z

vS σ

σ σ

35.217.21248.498 ===

u

vS τ τ τ

14,1685.2

055.3

52.569.1

35,23.1

22==

+⋅

=+

⋅=

τ σ

τ σ

S S

S S S

2.2.0. Dina!iki se'en si$urn#si.

Aσ = 70 M8a (a)ela %F! = 50 kN

Fr = 10 kNd = .76mm &&&&&&&&&&&

MPad

F

A

F

s

v

S

v 96.84296.240

20312042max ==⋅

⋅==

π σ

MPad

F

A

F

sS

o 01.83096.240

2000042min ==⋅

⋅==

π σ

MPaa 475.6

2

01.83096.842

2

minmax =−

=−

= σ σ

σ

8.10475.6

70===

a

A AS

σ

σ

2.-Projektni-Tacka-2.2

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