Incarcari-macara-portic

Denumirea documentului: INCARCARI

MACARA PORTIC

3. EVALUAREA INCARCARILOR Structura de rezistenta este solicitata la actiunea greutatilor proprii, a sarcinii principale si auxiliare, la actiuni climatice din vant, si la actiuni din inertii . 3.1. Viteze de lucru PRINCIPAL : 3.1.1. VITEZA DE RIDICARE CARLIG PRINCIPAL: - toate sarcinile: v rQpmin := 0.4 ⋅ v rQpmax := 4 ⋅ - sarcini

≤

m min m

min

60t : m

v rQp60min := 0.8 ⋅ v rQp60max := 8 ⋅

min m

min

RIDICARE CA CARLIG RLIG AUXILIAR : 3.1.2. VITEZA DE RIDICARE v rQamin := 5 ⋅ v rQamax :=

m

min m 25 ⋅ min

BASCULA RE BRAT : 3.1.3. VITEZA DE BASCULA v bmin := 1.6 ⋅ v bmax := 8 ⋅

m

=

min m

=

min

0.0267

0.1333

m s

m s

MACARA : 3.1.4. VITEZA DE DEPLASARE MACARA: v dmin := 3.2 ⋅ v dmax := 32 ⋅

m min m min

3.1.5. VITEZA DE ROTIRE MACARA : v r.min := 0.06 0.06⋅ rpm rpm v r.max := 0.33 0.33⋅ rpm rpm 3.2. Incarcari si coeficienti de calcul 3.2.1. GREUTATI PROPRII STRUCTURA G p Greutatea proprie a structurii metalice este luata in calcul de catre programul AXIS VM11. Greutatile suplimentare se vor introduce dupa caz ca incarcari concentrate sau distribuite. 3.2.1.1. GREUTATI PROPRII DIN SISTEM ROLE PE BRAT SI CATARG R b Punctele de incarcare din sistemul de role de pe brat sunt conform schitei. 1/23


MACARA PORTIC

Rb1 := 351. 351.29 293 3 ⋅2 ⋅ kg ⋅ g = 689. 689.00 0015 15 ⋅daN daN

Rola ϕ 630 - Dc 40 (Role tiranti basculare basc ulare varf brat)

Rb2 := 323. 323.32 323 3 ⋅kg ⋅ g = 317.0 317.071 715 5 ⋅daN daN

Bloc role ϕ 800x3 - Dc 24 (sarcina auxiliara varf brat)

Rb3 := Rb4 :=

1273.194 4 836.482 3

⋅ kg ⋅ g =

⋅ kg ⋅ g =

312.1 312.144 442 2 ⋅daN daN

273.4 273.436 362 2 ⋅daN daN

Role palan 120t (varf brat inferior)

Bloc role ϕ 800x3 - Dc 28 (sarcina principala)

Rb5 := 455. 455.8 8 ⋅ kg ⋅ g = 446.9 446.987 871 1 ⋅daN daN

Rola de egalizare ϕ 800 - Dc 28 palan 120t

Rb6 := 330. 330.15 15 ⋅ kg ⋅ g = 323.7 323.766 665 5 ⋅daN daN

Rola ridicare 8t (cioc)

Rb7 := Rb8 := Rb9 :=

1986 4 194

⋅ kg ⋅ g =

2 1570

Rb10 :=

⋅ kg ⋅ g =

4 2

95.12 95.1245 45 ⋅daN daN

⋅ kg ⋅ g =

3578

486.9 486.900 002 2 ⋅daN daN

384.9 384.911 11 ⋅daN daN

⋅ kg ⋅ g =

1754.4 175 4.4097 097⋅daN

Cablu ridicare 120 t (turn-brat) Cablu ridicare 8 t (turn-brat) Cablu ran basculare (turn-brat) [ pe turn si pe varf brat) cara pe brat

Greutati din role si palan de ridicare de pe catarg:

2/23


MACARA PORTIC

1460

7

Rb12 :=

8

Rb13 := 330

6

Rb14 :=

9

Rb15 :=

5

Rb18 :=

4

 

1460 4 740 2

⋅ kg ⋅ g =

+

80  2 

⋅ kg ⋅ g =

⋅ kg ⋅ g =

⋅ kg ⋅ g =

 4500  2

+

Role ridicare 120t (pla!or"a catarg)

357.9427 ⋅daN

Rola ridicare 8 t (pla!or"a) # 1$2%&1' (Cablu ridicare 8t cata rg "ecanis")

362.846 ⋅daN

Role ran basculare (catarg)

357.9427 ⋅daN

Role ridicare 120t (catarg)

362.846 ⋅daN

1030  2 ⋅ 2 

⋅ kg ⋅ g =

2459.0175 ⋅daN

&alan basculare-bateria "obila # 1$2%&20 (Cablu palan basculare)

3/23


MACARA PORTIC

10

15

Rb19 :=

 1000  5

+

1030  2 ⋅ 5 

2700 ⋅ kg ⋅ g Rb21 := 4.7 ⋅ m ⋅ 1.5 ⋅ m

=

⋅ kg ⋅ g =

297.1415 ⋅daN

375.5738 ⋅

daN m

2

Rb22 := 3500 ⋅kg ⋅ g = 3432.3275 ⋅daN 16581 ⋅kg ⋅ g

daN

Sala electrica (greutatea se distribuie uniform pe o suprafata de 2mx8m) *ecanis" ridicare 8t mecanism de ridicare principal + motor

12

Rb23 :=

11

Rb24 :=

6129.1563 ⋅daN

mecanism de basculare

14

Rb25 := 15060 ⋅kg ⋅ g = 14768.8149⋅daN

mecanism rotire + motor

Rb26 :=

5⋅m 12500 ⋅kg ⋅ g

=

=

2

2300 2

⋅ kg ⋅ g =

3252.0813 ⋅

&alan basculare-bateria  a # 1$2%&20 (Cablu palan basculare)

m

1127.7647 ⋅daN

13

Rb27 := ( 1500

16

Rb30 :=

17

daN Rb32 := 120000 ⋅kg ⋅ g = 117679.8 m ⋅ m

+

500 ) ⋅ kg ⋅ g = 1961.33 ⋅daN

22000 ⋅kg ⋅ g 15⋅ m ⋅ 2

=

719.1543 ⋅

daN m

scara pe brat

cabina de comanda+echipamente electrice cabina operator cabina masinilor (pe conturul platformei) contragreutate pe platforma ( la 14m de la axul turnului de rotire)

3.2.2. GREUTATE MUFLA SARCINA PRINCIPALA (+ cabluri in pozitia cea mai coborata) , Gmp Gmp := 6650 ⋅ kg ⋅ g = 6521.4222 ⋅daN

4/23


MACARA PORTIC

3.2.3. SARCINA PRINCIPALA, QP

g = 9.8066

Sarcina Q p (t)

Deschiderea bratului L (m)

120

16÷40

100

16÷45

75

16÷50

m s

2

QLb.40m := 120000⋅kg ⋅ g = 117679.8 ⋅daN

sarcina maxima pentru brat la deschiderea de 40m

QLb.45m := 100000⋅kg ⋅ g = 98066.5 ⋅daN


QLb.50m := 75000 ⋅ kg ⋅ g = 73549.875 ⋅daN


5/23


MACARA PORTIC

4+R/ (t) fortul / in tiranti &+, R./ si grup role "obile '5t$50" 100t$5" 120t$0" 120t$16" 65't$16" •

1506 167 1'12 1055 5''6

fortul / in tiranti si grup role "obile  coef 11

165,66

179,74

188,32

116,05

6,354

/ensiunea 4orta ce .pasarea pe in cablul /ensiunea ng3iul trage de calea rolelor palanului de in cablul de α rolele fie "obile basculare troliu 10 :;%sinα () 1000 1200 1500 000 000

13,49

134,95

14,64

146,42

15,34

153,41

9,45

94,53

0,52

5,18

in punctul 1:

2 2 2 2 2

179 16 157 95 052

2 2 2 2 2

27 70 79' 608 077

1.0732 este randamentul mecanismelor

(

Q75.1 := QLb.50m

+

(

+

(

+

Q100.1 := QLb.45m Q120.1 := QLb.40m

(

)⋅

Q0.1 := Gmp

)⋅

Gmp

1.0732

)⋅

Gmp

)⋅

Gmp

1.0732

=

2 1.0732 2 1.0732

42966.2581⋅daN

=

56121.8791⋅daN

=

66646.3759⋅daN

2

3499.3952 ⋅daN

=

2

Fortele sunt pe directia cablurilor •

in punctul 2: Q75.2 :=

Q75.1

10741.5645⋅daN

Q100.1

Q100.2 :=

=

14030.4698⋅daN

=

16661.594 ⋅daN

4 Q120.1

Q120.2 := Q0.2 :=

=

4

4

Q0.1 4

=

874.8488 ⋅daN


in punctul 3 (tirantii de basculare): Q75.3 :=

165660 ⋅daN

Q100.3 := Q120.3j := Q120.3s :=

=

2 179740 ⋅daN

=

2 188320 ⋅daN 2 116050 ⋅daN 2

82830 ⋅ daN

=

89870 ⋅ daN 94160 ⋅ daN

=

58025 ⋅daN

cu sarcina de 120t la deschiderea maxima (40m)

cu sarcina de 120t la deschiderea minima (16m) 6/23


MACARA PORTIC

Q0.3s :=

6353.74 ⋅daN

cu sarcina de 0t la deschiderea minima (16m)

3176.87 ⋅daN

=

2


in punctul 4 (role de basculare pe varf catarg):

Q75.4 :=

165660 ⋅daN

179740 ⋅daN

Q100.4 :=

41415 ⋅ daN

=

4

Q120.4s :=

44935 ⋅ daN

=

4 188320 ⋅daN

Q120.4j :=

Q0.4s :=

=

4

116050 ⋅daN

29012.5 ⋅daN

=

4

6353.74 ⋅daN

=

4


47080 ⋅ daN



1588.435 ⋅daN


in punctul 5 (role ridicare sarcina pe varf catarg):

(

Q75.5 := QLb.50m

(

+

Q100.5 := QLb.45m

)⋅

Gmp

+

1.0732

)⋅

Gmp

=

8 1.0732 8

10741.5645⋅daN

=

14030.4698⋅daN

7/23


MACARA PORTIC

(

Q120.5j := QLb.40m

(

Q120.5s := QLb.40m

(

)⋅

Q0.5s := Gmp

1.1 2

)⋅

Gmp

+

+

=

1.0732

)⋅

Gmp

=

8 1.0732

16661.594 ⋅daN cu sarcina de 120t la deschid erea maxima (40m)

=

8

16661.594 ⋅daN cu sarcina de 120t la deschiderea minima (16m) fara sarcina la deschiderea minima (16m)

3586.7822 ⋅daN


in punctul 6 (role mobile de la palanul de basculare):

Se iau in considerare fortele perpendiculare pe tirant, valoarea acestora in puncul 6 sunt conf. tabel forte (N): N75 := 2340 ⋅kg N100 := 3040 ⋅ kg N120j := 3970 ⋅ kg N120s := 6070 ⋅kg N0s := 330 ⋅ kg

Q75.6 := N75⋅ g = 2294.7561 ⋅daN

Forta la cota de 20.1m in lungul tirantului

Q100.6 := N100 ⋅ g = 2981.2216 ⋅daN


Q120.6j := N120j ⋅ g = 3893.24 ⋅daN


Q120.6s := N120s ⋅ g = 5952.6366 ⋅daN


Q0.6s := N0s ⋅ g = 323.6194 ⋅daN


Fortele in punctul 6 sunt perpendiculare pe tirant. •

in punctul 7 (role fixe): 8/23


MACARA PORTIC

Valorile in punctul 7 ale fortelor din rolele fixe sunt conf. tabel forte: S75 := 13490 ⋅kg S100 := 14640 ⋅ kg S120j := 15340 ⋅ kg S120s := 9450 ⋅kg S0s := 520 ⋅kg Q75.7 := S75⋅ g ⋅ 2 = 26458.3417 ⋅daN Q100.7 := S100 ⋅ g ⋅ 2 = 28713.8712⋅daN

•

Q120.7j := S120j ⋅ g ⋅ 2 = 30086.8022⋅daN


Q120.7s := S120s ⋅ g ⋅ 2 = 18534.5685 ⋅daN


Q0.7s := S0s ⋅ g ⋅ 2 = 1019.8916 ⋅daN


in punctul 8 (forte in cablul troliului de basculare): Q75.8 := S75⋅ g ⋅ 2 = 26458.3417 ⋅daN Q100.8 := S100 ⋅ g ⋅ 2 = 28713.8712⋅daN

•

Q120.8j := S120j ⋅ g ⋅ 2 = 30086.8022⋅daN


Q120.8s := S120s ⋅ g ⋅ 2 = 18534.5685 ⋅daN


Q0.8s := S0s ⋅ g ⋅ 2 = 1019.8916 ⋅daN


in punctul 9 (forte in cablul troliului de ridicare):

(

Q75.9 := QLb.50m

+

(

Q100.9 := QLb.45m

+

(

Q120.9j := QLb.40m

(

Q120.9s := QLb.40m

(

)⋅

Q0.9s := Gmp

1.0732

)⋅

Gmp

)⋅

Gmp

+

)⋅

Gmp

+

1.0732

=

4

4 1.0732 4

21483.1291⋅daN

=

4 1.0732

)⋅

Gmp

=

4 1.0732

=

28060.9395⋅daN 33323.1879⋅daN cu sarcina de 120t la deschid erea maxima (40m)

=

33323.1879⋅daN cu sarcina de 120t la deschiderea minima (16m) cu sarcina de 0t la deschiderea min ima (16m)

1749.6976 ⋅daN

3.2.4. SARCINA AUXILIARA, Qa QLb.55m := 8000 ⋅ kg ⋅ g = 7845.32 ⋅daN

sarcina auxiliara pentru brat la deschiderea de 55m

3.2.5. GREUTATE MUFLA SARCINA AUXILIARA, Gma 9/23


MACARA PORTIC

Gma := 420 ⋅ kg ⋅ g = 411.8793 ⋅daN Forta la varful ciocului din sarcina auxiliara si mufla:

(

Q8t := QLb.55m

+

)

Gma ⋅ 1.0732

=

8861.6263 ⋅daN

3.2.6. FORTE PROVENITE DIN BASCULARE BRAT , Fb m viteza maxima de basculare brat v bmax = 0.1333 s timpul de basculare

t b := 4 ⋅ s ab :=

v bmax

=

tb

0.0333

m s

acceleratia

2

rezulta: - pentru sarcina de 120t la deschiderea maxima de L=40m: Fb.40 :=

QLb.40m g

⋅a

b = 4 ⋅ kN

- pentru sarcina de 100t la deschiderea maxima de L=45m: Fb.45 :=

QLb.45m g

50000kg ⋅ g

⋅a

b = 3.3333 ⋅ kN

=

49033.25 ⋅daN


QLb.50m g

⋅a

b = 2.5 ⋅ kN


QLb.55m g

⋅a

b = 0.2667 ⋅ kN

3.2.7. FORTE PROVENITE DIN ROTIRE Se ia in considerare fortele provenite din rotirea macaralei in jurul turnului: - forte provenite din sarcina, - respectiv forte provenite din greutatile proprii ale elementelor care se rotesc in jurul turnului (contragreutati, platforma rotitoare, casa mecanismelor, etc) v r.max

=

viteza maxima de rotire brat

0.33⋅rpm

timpul de accelerare/decelerare

t rb := 5 ⋅ s ω :=

2 ⋅ π ⋅ v r.max 60

=

0.0036 ⋅

rad s

acceleratia unghiulara

rezulta: - pentru sarcina de 120t+mufle+role din varf brat la deschiderea maxima de L=40m: Greutate role din varful bratului: Grole := 4 ⋅ Rb3 + 6 ⋅ Rb4 + Rb5 + Rb6 + Rb7 + Rb8 + 2 ⋅ Rb9 + Rb10 Greutate mufle (principala+auxiliara):

10/23

+

Rb11

=

⋅ daN


MACARA PORTIC

Gm := Gmp + Gma = 6933.3015 ⋅daN R120t := 40⋅ m v 120t := ω ⋅ R120t ar40 :=

v 120t

=

t rb

Frb.40 :=

=

0.1448

m s

m

0.029

s

2

(QLb.40m + Grole + Gm)

⋅a

r40

g

=

⋅ kN

- pentru sarcina de 100t la deschiderea maxima de L=45m: R100t := 45⋅ m v 100t := ω ⋅ R100t ar45 :=

v 100t

=

t rb

Frb.45 :=

=

0.1628

0.0326

m s

m s

2

QLb.45m + Grole

Gm

+

⋅a

r45

g

=

⋅ kN

- pentru sarcina de 75t la deschiderea maxima de L=50m: R75t := 50⋅ m v 75t := ω ⋅ R75t

=

v 75t ar50 := t rb

0.0362

Frb.50 :=

=

m

0.1809

s

m s

2

QLb.50m + Grole

Gm

+

⋅a

r50

g

=

⋅ kN

- pentru sarcina de 120t la deschiderea minima de L=16m: R120t.min := 16⋅ m v 120t.min := ω ⋅ R120t.min ar16 :=

v 120t.min

Frb.16 :=

Frb.16 :=

t rb

=

=

0.0116

0.0579

2

+

+

g

Gm

Gm

⋅a

r16

g Grole

s

m s

QLb.40m + Grole

m

⋅a

r16

=

=

⋅ kN

cu sarcina

fara sarcina

⋅ kN

11/23


MACARA PORTIC

- pentru sarcina de 8t la deschiderea maxima de L=55m: R8t := 55⋅ m v 8t := ω ⋅ R8t v 8t

ar55 := trb Frb.50m :=

Frb.55m :=

=

=

m

0.199

s

0.0398

m s

Grole

+

2

Gm

QLb.55m g

⋅a

r50

g

⋅a

r55

=

⋅ kN

0.3185 ⋅kN

=

- forte provenite din rotirea bratului

Gbrat.varf := 27092 ⋅ g ⋅ kg

=

Gbrat.baza := 19193.8 ⋅g ⋅ kg •

FrGB.baza.50

:=

18822.6879⋅daN

g

⋅a

r50

Gbrat.baza

=

⋅a

r50

0.9804 ⋅kN

=

0.3473 ⋅kN

cand bratul este la 45m:

FrGB.baza.45

:=

Gbrat.varf g

⋅a

r45

Gbrat.baza

=

⋅a

r45

g⋅2

0.8824 ⋅kN

=

0.3126 ⋅kN


FrGB.varf.40 :=

FrGB.baza.40 •

Gbrat.varf

g⋅2

FrGB.varf.45 :=

•

=


FrGB.varf.50 :=

•

greutatea bratului la varf

26568.1762⋅daN

:=

Gbrat.varf g

⋅a

Gbrat.baza g⋅2

r40

⋅a

=

r40

0.7843 ⋅kN

=

0.2778 ⋅kN


12/23

greutatea bratului la varf


MACARA PORTIC

Gbrat.varf

FrGB.varf.16 :=

FrGB.baza.16

⋅a

r16

g

Gbrat.baza

:=

⋅a

=

r16

g⋅2

0.3137 ⋅kN

=

0.1111 ⋅kN

- pentru sarcina de 8t la deschiderea maxima de L=55m: R8t := 55 ⋅ m v 8t := ω ⋅ R8t v 8t ar55 := t rb

0.199

=

m s m

0.0398

=

s Grole

Frb.50m :=

+

2

Gm

QLb.55m

Frb.55m :=

⋅a

r50

g

⋅a

r55

g

=

=

⋅ kN

0.3185 ⋅ kN

- pentru contragreutate : Gcg := Rb32 ⋅ 8 ⋅ m

=

941438.4m ⋅daN

Rcg := 14⋅ m v cg := ω ⋅ Rcg v cg

arcg := t rb

=

=

0.0101

⋅a

rcg

g

=

m s

m s

Gcg

Frb.cg :=

0.0507

2

9.7275 m ⋅ kN

- pentru cabina mecanisme + platforma+mecanisme (basculare, ridicare, auxiliar) : Gcab := Rb30 ⋅ 15⋅ m ⋅ 2 + 45000 ⋅ kg ⋅ g + Rb23 ⋅ 5 ⋅ m

+

Rcab := 7.25 ⋅ m v cab := ω ⋅ Rcab = 0.0262 arcab :=

vcab

Frb.cab :=

=

t rb

0.0052

g

s

m s

Gcab

m

2

⋅a

rcab = 0.5225 ⋅ kN

3.2.8. FORTE PROVENITE DIN TRAGERE OBLICA , Hob - pentru sarcina de 120t la deschiderea maxima de L=40m:

13/23

Rb24 ⋅ 2 + Rb22

=

97655.6014⋅daN


MACARA PORTIC

Hob.40m := QLb.40m ⋅ 0.1 = 117.6798 ⋅kN - pentru sarcina de 100t la deschiderea maxima de L=45m: Hob.45m := QLb.45m ⋅ 0.1 = 98.0665 ⋅kN - pentru sarcina de 75t la deschiderea maxima de L=50m: Hob.50m := QLb.50m ⋅ 0.1 = 73.5499 ⋅kN Forta de ghidare care apare este: Fv := ν ⋅ f ⋅ m ⋅ g m ⋅ g - este forta gravitationala datorata masei instalatiei de ridicat incarcate f

- este coeficientul de frictiune al rotii de rulare f := 0.3 ⋅ 1

α

- este unghiul de oblicitate, in radiani α := αg

αg

( − 250⋅ α)

e

−

+

αw + αt

parte a unghiului de oblicitate datorat slabirii ghidajului sg αg := wb slabirea ghidajului

s g := 16 ⋅ mm

wb := 22000 ⋅ mm sg

αg := ⋅ rad wb αw

=

0.0007

parte a unghiului de oblicitate datorat uzurii bh

αw := 0.1 ⋅ wb

bh

latimea sinei de rulare bh := 104mm bh

αw := 0.1 ⋅ wb αt

=

0.0005

parte a unghiului de oblicitate datorat tolerantelor αt := 0.001 α := αg + αw + αt

=

0.0022

( − 250⋅ α)

f := 0.3 ⋅ 1 − e

=

0.1269

14/23


MACARA PORTIC

3.2.9. FORTE PROVENITE DIN VANT, Fw 3.2.9.1. VANT IN STARE DE FUNCTIONARE 3.2.9.1.1. Vant pe sarcina , f wQ kg ρ := 1.25 ⋅ 3 m z := 100 m v ref := 20⋅

m s factor de recurenta conform SR EN 13001-2:2005

f rec := 0.8155 v 3 := 20⋅

m s 2

qz := 0.5 ⋅ ρ ⋅ v 3

=

250 Pa presiunea vantului

p := qz = 0.25⋅ kPa

Valoarea maxima a vantului asupra sarcinii se calculeaza cu relatia: f wQ := c 1 ⋅ p ⋅ Ag unde: f

wQ-

reprezinta forta exercitata de vant asupra sarcinii detasabile

c - coeficient aerodinamic c 1 := 2.4 A g- este proiectia sarcinii brute pe un plan normal pe directia vantului, in metri patrati m - masa sarcinii de lucru detasabile, in tone g - reprezinta acceleratia gravitationala g = 9.8066

m s

•

2

pentru sarcina de 120t la deschiderea maxima de L=40m: m1 := 120000⋅kg Ag120 := 0.0005 ⋅

m

2

kg

⋅m

1 = 60m

f wQ120 := c 1 ⋅ p ⋅ Ag120 •

=

2

36 ⋅ kN

pentru sarcina de 100t la deschiderea maxima de L=45m: m2 := 100000⋅kg Ag100 := 0.0005 ⋅

m

2

kg

⋅m

2 = 50m

2

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MACARA PORTIC

f wQ100 := c 1 ⋅ p ⋅ Ag100 •

=

30 ⋅ kN

pentru sarcina de 75t la deschiderea maxima de L=50m: m3 := 75000 ⋅ kg 2

Ag75 := 0.0005 ⋅

m

kg

⋅m

f wQ75 := c1 ⋅ p ⋅ Ag75 •

=

3 = 37.5m

2

22.5⋅ kN

pentru sarcina auxiliara de 8t la deschiderea maxima de L=55m: m4 := 8000 ⋅ kg 2

Ag8 := 0.0005 ⋅

m

kg

⋅m

4 = 4m

2

f wQ8 := c1 ⋅ p ⋅ Ag8 = 2.4 ⋅ kN 3.2.9.1.2. Vant pe brat , fwQ Conform SR ISO 4302 incarcarea determinata de actiunea vantului asupra unui element se calculeaza cu relatia: FwQb := A ⋅ p ⋅ C1 A- reprezinta suprafata neta, in metri patrati, a elementului considerat p - presiunea vantului, corespunzatoare conditiei de calcul impuse Vant in serviciu: p = 0.25 ⋅kPa C1 - reprezinta coeficientul de forma in directia vantului pt elementul considerat •

vant pe teava de Φ323.9:

- pentru suprafata direct batuta de vant: D := ( 323.9 + 60)mm = 0.3839 m v s := 20⋅

m s

conf. SR EN 13001-2-Tabel A.2 C1 := 1.2 Intrucat programul AXIS permite introducerea incarcarilor distribuite, vom calcula incarcarea astfel: f wQb := D ⋅ p ⋅ C1 = 11.517 ⋅

daN m

- pentru suprafata ecranata de cea batuta de vant: f wQbe := μ ⋅ D ⋅ p ⋅ C1

b :=

11 5 42  ( 5 + 1.68)  m2 ⋅ + ⋅ ⋅ 2   

a := 3 ⋅ m

53⋅ m

=

inaltimea suprafetei batute de vant (in cazul nostru este o inaltime medie)

3.6845 m

distanta dintre panoul batut de vant si urmatorul 16/23


MACARA PORTIC

c a := A1

1 2 7  5 6 '

a b

=

coeficient de amplasare

0.8142

suprafata direct batuta de vant

&R.4./. &.R/<=+R &=<: (barele bratului) &R.4./. C/<: C./< =:><* =./<* ("&) 41 2 500 20 020 42$47 2 1500 72 09'2 4RC. 4 2 1000 20 080 45 2 752 68 7298 46 2 2500 0' 2075 2 571 768 7775 2 5000 768 7680 /?@ 768 2 2079 768 7091

8 9 10 11 12 17 1 15 16 1' 18 /? 12' 19 20 21 22 27 2 25 26 2' cioc

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1  1

2''1 1680 5'76 55' 5761 51'8 998 821 69 81 718 160 782' 780 7150 290 2598 77' 1900

&R.4./. /+/.=. ("p)

768 768 12' 12' 12' 12' 12' 12' 12' 12' 12' 12' 12' 12' 12' 12' 12' 12' 700

1020 0618 0'28 0'0 0681 0658 0675 0612 0590 0569 058 0528 086 02 000 0769 0770 1'1 81' 65,144

17/23

A1 := 65.144 ⋅m

2


MACARA PORTIC

 

A0 := 11 ⋅ 5 + 42 ⋅ A1

Csn := A0

=

 ( 5 + 1.68) 2  

+

 

1.9⋅ 4.3 ⋅ m

2

203.45 m

=

2

coeficient de suprafata neta

0.3202

Din SR ISO 4302, tabel 3 rezulta coeficientul pt. efectul de ecran, µ in functie de coeficientii: Csn

=

0.3202

c a = 0.8142 rezulta: μ := 0.4611

daN

f wQbe := μ ⋅ D ⋅ p ⋅ C1 = 5.3105 ⋅ •

m

vant pe teava de Φ127: D := 127 ⋅mm 2

C1 :=

1.2 if D ⋅ v s

<

6⋅

m

C1 = 1.2

s 2

0.8 if D ⋅ v s

≥

6⋅

m

s

- pentru suprafata direct batuta de vant: f wQb := D ⋅ p ⋅ C1 = 3.81 ⋅

daN m

- pentru suprafata ecranata de cea batuta de vant: f wQb := μ ⋅ D⋅ p ⋅ C1 = 1.7568 ⋅ •

daN m

vant pe cioc Lc := 3750 ⋅ mm

lungimea ciocului

hc := 1900 ⋅ mm

inaltimea ciocului pe directia direct batuta de vant

c c :=

Lc

=

hc

1.9737

din tabelul 2 rezulta coeficientul de forma: C1c := 1.3 f wQc := hc ⋅ p ⋅ C1c •

=

61.75 ⋅

daN m

vant pe varf cioc Lc := 4500 ⋅ mm

lungimea varfului ciocului

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MACARA PORTIC

inaltimea varfului ciocului pe directia direct batuta de vant

hc := 700 ⋅ mm c c :=

Lc

=

hc

6.4286

din tabelul 2 rezulta coeficientul de forma: C1c := 1.3143 f wQc := hc ⋅ p ⋅ C1c

=

23.0003 ⋅

f wQce := μ ⋅ hc ⋅ p ⋅ C1c •

=

daN m

10.6054 ⋅

daN

pe suprafata ecranata

m

vant pe furca brat Lc := 6300 ⋅ mm

lungimea furcii bratului

hc := 450 ⋅ mm

laltimea furcii bratului (medie) pe directia direct batuta de vant

c c :=

Lc

=

hc

14

din tabelul 2 rezulta coeficientul de forma: C1c := 1.45 f wQf := hc ⋅ p ⋅ C1c

=

16.3125 ⋅

f wQfe := μ ⋅ hc ⋅ p ⋅ C1c •

=

daN m

7.5217 ⋅

daN m


vant pe cheson furca brat (prima legatura la 6.5m) Lc := 5000 ⋅ mm

lungimea furcii bratului

hc := 450 ⋅ mm

laltimea furcii bratului (medie) pe directia direct batuta de vant

c c :=

Lc

=

hc

11.1111

din tabelul 2 rezulta coeficientul de forma: C1c := 1.3778 f wQf := hc ⋅ p ⋅ C1c

=

15.5002 ⋅

f wQfe := μ ⋅ hc ⋅ p ⋅ C1c •

=

daN m daN

7.1472 ⋅

m


vant pe cabina mecanismelor si contragreutate Lc := 8000 ⋅ mm

lungimea cabinei

hc := 4500 ⋅ mm

inaltimea cabinei pe directia direct batuta de vant

c c :=

Lc hc

=

1.7778

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MACARA PORTIC

din tabelul 2 rezulta coeficientul de forma: p = 250 Pa C1c := 1.3 f wcab := Lc ⋅ hc ⋅ p ⋅ C1c

=

1170⋅ daN

VANT PE CATARG •


C1 :=

1.2 if D ⋅ v s

<

6⋅

m

s

C1 = 0.8

2

0.8 if D ⋅ v s

≥

6⋅

m

s

- pentru suprafata direct batuta de vant: f wc := D ⋅ p ⋅ C1 = 10.16 ⋅ •

daN m


C1 :=

1.2 if D ⋅ v s

<

6⋅

m

s

C1 = 0.8

2

0.8 if D ⋅ v s

≥

f wc := D ⋅ p ⋅ C1 = 17.28 ⋅

6⋅

m

s

daN m

- pentru suprafata ecranata pe directia batuta de vant: f wc := μ ⋅ D ⋅ p ⋅ C1 = 7.9678 ⋅ •

daN m


C1 :=

1.2 if D ⋅ v s

<

6⋅

m

s

C1 = 1.2

2

0.8 if D ⋅ v s

≥

6⋅

m

s

- pentru suprafata ecranata pe directia batuta de vant:

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MACARA PORTIC

daN

f wc := D ⋅ p ⋅ C1 = 3.81 ⋅ •

m


C1 :=

1.2 if D ⋅ v s

<

6⋅

m

s

C1 = 0.8

2

0.8 if D ⋅ v s

≥

6⋅

m

s

- pentru suprafata ecranata pe directia batuta de vant: f wc := D ⋅ p ⋅ C1 = 10.16 ⋅ •

daN m

vant pe teava de Φ 323.9: D := 323.9 ⋅ mm 2

C1 :=

1.2 if D ⋅ v s

<

6⋅

m

s

C1 = 0.8

2

0.8 if D ⋅ v s

≥

6⋅

m

s

- pentru suprafata ecranata pe directia batuta de vant: f wc := D ⋅ p ⋅ C1 = 6.478 ⋅ •

daN m

vant pe teava de Φ 3800: D := 3800 ⋅ mm 2

C1 :=

1.2 if D ⋅ v s

<

6⋅

m

s

C1 = 0.8

2

0.8 if D ⋅ v s

≥

6⋅

m

s

- pentru suprafata ecranata pe directia batuta de vant: f wc := D ⋅ p ⋅ C1 = 76⋅

•

daN m

vant pe teava de Φ 1400: D := 1400 ⋅ mm 2

C1 :=

1.2 if D ⋅ v s

<

6⋅

m

s

C1 = 0.8

2

0.8 if D ⋅ v s

≥

6⋅

m

s 21/23


MACARA PORTIC

- pentru suprafata ecranata pe directia batuta de vant: f wc := D ⋅ p ⋅ C1 = 28⋅

daN m

Vant in repaus: kg

ρ := 1.25 ⋅

m

3

z := 40⋅ m f rec := 1 v ref := 28⋅

m s

v ( z) := frec ⋅

z :=

 − 1  0.14 z⋅m

  5 ⋅ m   40⋅ m 



10

 50⋅ m   36.6105  v ( z) =  45.1975   46.2763 

 +

0.4 ⋅ v ref



m s

50

40

30 z 20

10

0

0

10

20

30

40

v( z)

q ( z)

:=

0.5 ⋅ ρ ⋅ v ( z)

2

 0.8377  kN q ( z) =  1.2768  ⋅  1.3384 

2

m

22/23


MACARA PORTIC

3.2.10. CALCULUL COEFICIENTILOR DINAMICI Coeficientii sunt calculati conform SR EN 13001-2:2005 1.

Coeficientul dinamic al greutatii proprii al instalatiei de ridicat: δ1 := 0.1 φ1 := 1

+

δ1 = 1.1

Coeficienti totali de incarcare: γA := φ1 = 1.1

γA := 0.9φ1 = 0.99

γB := φ1 = 1.1

γB := 0.9φ1 = 0.99

γC := φ1 = 1.1

γC := 0.9φ1 = 0.99

2. Coeficientul dinamic al sarcinii la ridicare (pt clasa de ridicare HC3) ϕ2 := ϕ2.min

+

β2 ⋅ v h

v h := 0.5v rQpmin v h = 0.0033

pt. combinatii de in carcari A si B, tipul mec. de rid icare HD4 (conf SR EN -13001-2, tabel 3

m s

ϕ2.min := 1.15 β2 := 0.51 ϕ2 := ϕ2.min

+

s β2 ⋅ v h ⋅ m

=

1.1517

Coeficienti γ p de securitate: γpA := 1.34 γpB := 1.22 γpC := 1.1

Coeficienti totali de incarcare: γA := ϕ2 ⋅ γpA

=

1.5433

γB := ϕ2 ⋅ γpB

=

1.4051

γC := ϕ2 ⋅ γpC = 1.2669

23/23

Incarcari-macara-portic

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