OPTERECENJE VETROMVECA

8/14/2019 OPTERECENJE VETROMVECA

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Analiza optere}enja vetrom

= 25 L = 9.600 m

"Mala kruta zgrada"

2 3 2.60 m

3.20 m

1 4

(G*Cpe)1= 1.1

(G*Cpe)2= 0.4

(G*Cpe)3= -0.8

(G*Cpe)4= -0.7

Vm,50,10(m/s)= 35.00

Kz2

= 1.40 Sz = 1.00referentna visina : h= 3,2+2,6/2= 4.50 m

umax = h/250 = 1.80 cm

qw=qm,T10 x Gz X Cp

qm,50,10 = 1/2 x 1,225 x 35 x 35 x 0,001 = 0,75kN/m2

Prora~un krovnih letvi 4,8/2,4cm (~etinar II klase)

q x

y

A B

l = 0.60 25o

Analiza optere}enja: razmak letvi: l = 0.345 m

1 krovni pokriva~, g = 0.65 kN/m2

= 0.436 rad

2 sneg, S = 0.70 kN/m2

SIN = 0.423

3 vetar, w= 0,4*0,75 = 0.30 kN/m2

COS = 0.906

qx=(g/cos+s)sin= 0.60 kN/m2

qy=(g/cos+s)cos+w= 1.58 kN/m2

optere}enje po m' letve:

qx' = qx*l= 0.207 kN/m'

qy' = qy*l= 0.547 kN/m'

Mx=0,125*qy' *l2

= 0.025 kNm

My=0,125*qx' *l2

= 0.009 kNm

maxTy =0,5*qy'*l= 0.164 kN

pretpostavlja se presek: b(cm)= 4.8h(cm)= 2.4

Wx=b*h2/6= 4.608 cm

3

Wy=h*b2/6= 9.216 cm

3

Ix=b*h3/12= 5.530 cm

4

Iy=h*b3/12= 22.118 cm

5

Sx =b*h2/8= 3.456 cm

3

s=Mx/Wx+My/Wy= 634.71 N/cm2

( < sdop)


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t=Ty*Sx/(b*Ix)= 21.352 N/cm2

( < tdop)

fx=5*qy'*l4/384EIx= 0.167 cm

fy=5*qx'*l4/384EIy= 0.016 cm

f= 0.168 cm

fdop=l/200= 0.300 cm

Prora~un da{~ane oplate d = 24 mm

Q q

A B

L= 1.40

pretpostavlja se presek: b(cm)= 100

h(cm)= 2.4

Wx=b*h2/6= 96.00 cm

3

Analiza optere}enja:

1 sopstvena te`ina, g = 0.15 kN/m2

2 sneg i vetar 1.00 kN/m2

3 pokriva~ 0.10 kN/m2

Mx = 0.31 kNm

Kontrola napona:

SIJMD= 319.01 (


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POS R 1 - drvena krovna re{etka

Optere}enje - gornji pojas qg: 1) krovni pokriva~ 0.72 kN/m2

2) letve 0.05 kN/m2

3)sopstvena te`ina 0.15 kN/m2

4) daska 24 mm 0.15 kN/m2

5) sneg i vetar 1.00 kN/m2

2.07 kN/m2

/po m' /qg= 2.48 kN/m'

Optere}enje - donji pojas qd: 1)sopstvena te`ina 0.15 kN/m2

2)mineralna vuna 0.10 kN/m2

3) letve 6/4 0.05 kN/m2

4) gips plo~e 0.10 kN/m2

0.40 kN/m2

/po m' /qd= 0.48 kN/m'

POS R 1 - dimenzionisanje = 0.436 rad

SIN = 0.422

GORNJI POJAS COS = 0.906

lix = 132.4 cm

presek liy = 0.0 cm

10 cm

E 38 /100 5

12

2,4 4,8 2,4

Presek 1: b = 2.4 cm Presek 2: b = 4.8 cm

h = 12.0 cm h = 5.0 cm

y st = 7.03 cm

A 1 = 28.80 cm2 I 1y = 13.82 cm4

A 2 = 24.00 cm2 I 2y = 46.08 cm4

A = 2 A 1 + A 2 = 81.60 cm2 I y = 627.26 cm4

I 1x = 345.6 cm4

I 2x = 50.0 cm4

d = 0.38 cm

a= 2,94 d 1.12


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Usvojeno: 4 E 38/100 , jednostruka podvezica 4,8 / 10 xL

POS R 1 - Dimenzionisanje {tapova ispune

[tapovi br. 25 , 26 , 27 , 28 , 29 , 30 , 32 , 35 , 38 , 40 , 41 , 42 , 43 , 45

presek

Presek : b = 4.8 cm

8 h = 8.0 cm

Potreban broj eksera za vezu sa pojasevima: 4 E 38/ 100

4.8

POS R 1 - [TAP br. 36

N= -6.04 kN li = 259.044 cm

presek

10 10cm 10

E 38 / 100

10

2,4 4,8 2,4


h = 10.0 cm h = 10.0 cm

x st = 4.80 cm

y st = 5.00 cm

A 1 = 24.00 cm2 I 1y = 11.52 cm4

A 2 = 48.00 cm2 I 2y = 92.16 cm4

A = 2 A 1 + A 2 = 96.00 cm2 I y = 576.48 cm4

a=2,94 d = 1.00

K= 2.52

g= 1/(1+K)= 0.284

I fy = SI iy+g 2A1 a12

I fy = 291.99 cm4

ify = 1.74 cm

W y= 60.83 cm3

lf= 148.53wx= 7.12

N merod= -6.04 kN

s= wN/A

s= 447.967 N/cm2 (s< sdop)


POS R 1 - [TAP br. 33 , 34


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N= -1.86 kN li = 204.978 cm

presek

10 10cm 10

E 38 / 100

8

2,4 4,8 2,4


h = 8.0 cm h = 8.0 cm



N= -6.49 kN li = 204.978 cm

presek

10 10cm 10

E 38 / 100

10

2,4 4,8 2,4


h = 10.0 cm h = 10.0 cm

x st = 4.80 cm

y st = 5.00 cm

A 1 = 24.00 cm2 I 1y = 11.52 cm4

A 2 = 48.00 cm2 I 2y = 92.16 cm4

A = 2 A 1 + A 2 = 96.00 cm2 I y = 576.48 cm4

a=2,94 d = 1.00

K= 4.02

g= 1/(1+K)= 0.199


2

I fy = 239.05 cm4

ify = 1.58 cm

W y= 49.80 cm3

lf= 129.90

wx= 5.45

N merod= -6.49 kN

s= wN/A

s= 368.443 N/cm2 (s< sdop)


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N= -7.23 kN li = 140.000 cm

presek

8

4.8

Presek : b = 4.8 cm I x = 204.80 cm4

h = 8.0 cm i x = 2.31 cm

x st = 2.40 cm I y = 73.73 cm4

y st = 4.00 cm i y = 1.39 cm

A = 38.40 cm2

ly= 101.04

wx= 3.29

N merod= -7.23 kN

s= wN/A

s= 619.445 N/cm2 (s< sdop)



N= -6.82 kN li = 82.073 cm


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presek

8

4.8

Presek : b = 4.8 cm I x = 204.80 cm4

h = 8.0 cm i x = 2.31 cm

x st = 2.40 cm I y = 73.73 cm4

y st = 4.00 cm i y = 1.39 cm

A = 38.40 cm2

ly= 59.23

wy= 1.42

N merod= -6.82 kN

s= wN/A

s= 252.198 N/cm2 (s< sdop)


POS R2 - drvena krovna re{etka

Optere}enje - gornji pojas qg: 1) krovni pokriva~ 0.72 kN/m2

2) letve 0.05 kN/m2

3)sopstvena te`ina 0.15 kN/m2

4) daska 24 mm 0.15 kN/m2

5) sneg i vetar 1.00 kN/m2

2.07 kN/m2

/po m' /qg= 2.48 kN/m'

Optere}enje - donji pojas qd: 1)sopstvena te`ina 0.15 kN/m2

2)mineralna vuna 0.10 kN/m2

3) letve 6/4 0.05 kN/m2

4) gips plo~e 0.10 kN/m2

0.40 kN/m2

/po m' /qd= 0.48 kN/m'

Q = 2.30 kN

Q1 = 1.00 kN


SIN = 0.422


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GORNJI POJAS COS = 0.906

lix = 132.4 cm

presek liy = 0.0 cm

10 cm

E 34 /90 5

12

2,4 3,8 2,4


h = 12.0 cm h = 5.0 cm

y st = 6.87 cm I 1y = 13.82 cm4

A 1 = 28.80 cm2 I 2y = 22.86 cm4

A 2 = 19.00 cm2 I y = 604.05 cm4

A = 2 A 1 + A 2 = 76.60 cm2 I 1x = 345.6 cm4

I 2x = 39.6 cm4

d = 0.34 cm

a= 2,94 d 1.00

C = 14000 a= 13994.40

K= 7.64

g= 1/(1+K)= 0.116

I f = SI ix +gSAi ai2

I f = 751.28 cm4

if = 3.13 cm

W f= 109.39 cm3

lf= 42.27

wf= 1.17

N merod= -10.62 kN

M odgov = 0.29 kNm

s= wN/A 0,85 M/W

s= 387.561 N/cm2 (s< sdop)

POS R 2-Nastavak gornjeg pojasa ( u ~voru 9 )

H= 4,84 * cos 72,12 +3,89 = 5.39 kN

N2= 860 N n =H/N2= 6.27

Usvojeno: 7 E 34/90

POS R 2 - Dimenzionisanje {tapova donjeg pojasa

[tapovi br. 22 , 23 , 24 , 25 , 26

presek

10

2,4 3,8 2,4

Presek 1: b = 2.4 cm max N = 9.92 kN


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h = 10.0 cm odg M = 0.07 kNm

e (cm) = 10

y st = 5.00 cm Me(kNm) = (9,92 - 7,73)*0,1*0,5

A 1 = 24.00 cm2 Me = 0.1095 kNm

A = 2 A 1 = 48.00 cm2 M uk = 0.180 kNm

W x = 80.00 cm3 s= N/A + 0,85 M/W

s= 397.385 N/cm2 (s< sdop)

[tapovi br. 17 , 18 , 19 , 20 , 21 , 28

presek

10

E 34 / 90 5

2,4 3,8 2,4 10 10

POS R 2-Nastavak donjeg pojasa ( u {tapu 23 )

n = 1,5 N 23/N2 N2=860N n= 9.38 kom

Usvojeno: 10E 34/90 , jednostruka podvezica 4,8 / 10 xL

POS R 2 - Dimenzionisanje {tapova ispune

[tapovi br. 25 , 26 , 27 , 28 , 29 , 30 , 32 , 35 , 38 , 40 , 41 , 42 , 43 , 45

presek

Presek : b = 3.8 cm

8 h = 8.0 cm


3.8


N= -6.49 kN li = 195.438 cm

presek

10 10cm 10

E 34 / 90

8

2,4 3,8 2,4


h = 10.0 cm h = 10.0 cm

x st = 4.30 cm

y st = 5.00 cm

A 1 = 24.00 cm2 I 1y = 11.52 cm4

A 2 = 38.00 cm2 I 2y = 45.73 cm4


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A = 2 A 1 + A 2 = 86.00 cm2 I y = 530.05 cm4

d = 0.34 cm

a=2,94 d = 1.00

C = 14000 a= 13994.40

K= 4.43

g= 1/(1+K)= 0.184


I fy = 183.40 cm4ify = 1.46 cm

W f= 42.65 cm3

lf= 133.83

wx= 5.78

N merod= -6.93 kN

s= wN/A

s= 465.760 N/cm2 (s< sdop)



N= -6.49 kN li = 195.438 cm

presek

10 10cm 10

E 34 / 90

8

2,4 3,8 2,4


h = 10.0 cm h = 10.0 cm



N= -6.49 kN li = 195.438 cm

presek

10 10cm 10

E 34 / 90

8

2,4 3,8 2,4


h = 10.0 cm h = 10.0 cm


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N= -3.71 kN li = 152.315 cm

presek

10

3.8

Presek : b = 3.8 cm I x = 316.67 cm4

h = 10.0 cm i x = 2.89 cm

x st = 1.90 cm I y = 45.73 cm4

y st = 5.00 cm i y = 1.10 cm

A = 38.00 cm2

ly= 138.85

wy= 6.22

N merod= -3.71 kN

s= wN/A

s= 607.268 N/cm2 (s< sdop)



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STATI^KI PRORA^UN

Prora~un da{~ane oplate d = 24 mm

q

A B

L= 1.40

pretpostavlja se presek: b(cm)= 100

h(cm)= 2.4

Wx=b*h2/6= 96.00 cm

3

Analiza optere}enja:

1 sopstvena te`ina, g = 0.15 kN/m2

2 sneg i vetar 1.00 kN/m2

3 pokriva~ 0.10 kN/m2

Mx = 0.31 kNm

Kontrola napona:

SIJMD= 319.01 (


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lx


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I f = SI iy+g 2A1 a12

I f = 884.74 cm4

if = 2.77 cm

W f= 184.32 cm3

lf= 47.77

wf= 1.22

N merod= -3.80 kNM odgov = 0.31 kNm

s= wN/A 0,85 M/W

s= 183.201 N/cm2 (s< sdop)


SIN = 0.422

PRIMER ZA [TAP KOJI IMA IZVIJANJE OKO OBE O COS = 0.906

lix = 132.4 cm

presek liy = 0.0 cm

A1 A2 A1 10 10 cm

E 38 / 100

12

2,4 4,8 2,4


h = 12.0 cm h = 12.0 cm

y st = 7.75 cm

A 1 = 28.80 cm2 I 1y = 13.82 cm4

A 2 = 57.60 cm2 I 2y = 110.59 cm4A1 ' = 0.00 cm2

A = 2 A 1 + A 2 = 115.20 cm2 a= 2,94 d 1.12

C = 14000 a= 15640.80

K= 0.00

g= 1/(1+K)= 1.000

I f = SI iy+g 2A1 a12

I f = 884.74 cm4

if = 2.77 cm

W f= 184.32 cm3

lf= 47.77

wf= 1.22

N merod= -3.80 kN

M odgov = 0.31 kNm

s= wN/A 0,85 M/W

s= 183.201 N/cm2 (s< sdop)


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Veza sa pojasima izvodi se ekserima E 34/90 sa : N1 = 1050 N

N36= -6.04 KN Potreban broj eksera za vezu: ( E 38/ 100)

n = D/N1= 5.75 kom.


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N= -6.49 kN li = 204.978 cm

presek

12

4.8

Presek : b = 4.8 cm I x = 691.20 cm4

h = 12.0 cm i x = 3.46 cm

x st = 2.40 cm I y = 110.59 cm4

y st = 6.00 cm i y = 1.39 cm

A = 57.60 cm2

ly= 147.93

wx= 7.08

N merod= -6.49 kN

s= wN/A

s= 797.729 N/cm2 (s< sdop)



N= -4.14 kN li = 152.315 cm

presek


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8

4.8

Presek : b = 4.8 cm I x = 204.80 cm4

h = 8.0 cm i x = 2.31 cm

x st = 2.40 cm I y = 73.73 cm4

y st = 4.00 cm i y = 1.39 cm

A = 38.40 cm2

ly= 109.92

wx= 3.9

N merod= -4.14 kN

s= wN/A

s= 420.469 N/cm2 (s< sdop)


POS R 1 - [TAP br. 33,34

N= -1.86 kN li = 204.978 cm

presek

12

4.8

Presek : b = 4.8 cm I x = 691.20 cm4

h = 12.0 cm i x = 3.46 cm

x st = 2.40 cm I y = 110.59 cm4

y st = 6.00 cm i y = 1.39 cm

A = 57.60 cm2

ly= 147.93

wx= 7.08

N merod= -1.86 kN

s= wN/A

s= 228.625 N/cm2 (s< sdop)



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POS R 1 - [TAP br. 26 , 44

N= -6.82 kN li = 82.073 cm

presek

8

4.8

Presek : b = 4.8 cm I x = 204.80 cm4

h = 8.0 cm i x = 2.31 cm

x st = 2.40 cm I y = 73.73 cm4

y st = 4.00 cm i y = 1.39 cm

A = 38.40 cm2

ly= 59.23

wx= 1.42

N merod= -6.82 kN

s= wN/A

s= 252.198 N/cm2 (s< sdop)



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GOTOVO

GOTOVO

GOTOVO


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Potreban broj eksera za vezu: ( E 38/ 100)

n = D/N1= 6.60 kom.


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OPTERECENJE VETROMVECA