purlin and girt design

7/28/2019 Purlin and Girt Design

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1800

0

5000

1800 mm

0

5000

mm

mm

mm

mm

mm



Purlins Purlin Span 5000 mm

Building Roof Area 9.000 m2

4500

10000

LOADING

sheeting 5.0 kg/m2

safety mesh 0.0 kg/m2

purlins 5.0 kg/m2

services 5.0 kg/m2

insulation 2.0 kg/m2

TOTAL 0.170 kPa

UDL Roof -0.306 kN/m

Roof 0.320 kPa

-0.576 kN/m

ratio serv/ult 0.6

a 1000 mm

VECTORS Upwards Downwards

Cpe 0.9 0.4

Cpi 0 -0.3

Theta = 0

Upwards 2.121

Downwards -0.990

Ultimate Critical Up 2.156

mm

mm

Dead Load

Perimeter Zone

Hieght of Building

Breadth of

Building

Perimeter Start Zone

GEOMETRY

Live Load

Wind Load



Critical Down -0.990

Service Critical Up 1.293732

Critical Down -0.594

1.2DL+1.5LL Roof -1.231 kN/m

Perimeter Zone

Roof (-)0.9DL+Wu 1.881

1.2DL+Wu -1.357

Design For:

Ultimate Perimeter Zone

Max Uplift 1.88 kN/m

Max Gravity -2.13 kN/m

Serviceability L/150

Perimeter Zone

DL (Roof) -0.31 kN/mDL (Roof+Ceiling) -0.31 kN/m

DL (Roof) +Ws -0.90 kN/m

DL (Roof+Ceil) +Ws -0.90 kN/m

Ws -0.59 kN/m

DESIGN OF

PURLINS

Max

(0.9,1.2)G+Wu

LOAD

COMBINATIONS



1800

0

5000

ceiling 0 kg/m2

TOTAL 0.000 kPa

UDL Ceiling 0.000 kN/m

Theta = 0

kleq theta=0

Upwards Downwards Upwards Downwards

0.2 -0.2 0.5 -0.2 Cpe*kleq

0 -0.3 0 -0.3qult theta=0

qult theta=0

Theta = 90 Theta = 0

kN/m 2.156 kN/m Upwards 0.990

kN/m -0.990 kN/m Downwards -0.990

kN/m Ultimate Critical Up 0.990

Ceiling Load

Width

Depth of

Building

Middle Zone

Ceiling Equiv

UDL-0.600

Wt of Person +

Equip150

Purlin Centres

Middle ZonePerimeter End Zone

mm

mm

mm

kN/m

kg



kN/m Critical Down -0.990

kN/m Service Critical Up 0.594

kN/m Critical Down -0.594

-2.131 kN/m

Middle Zone Perimeter Zone Middle Zone

0.715 kN/m (-)0.9DL+Wu 1.881 0.715

-1.357 kN/m 1.2DL+Wu -1.357 -1.357

Middle Zone

Max Uplift 0.71 kN/m

Max Gravity -2.13 kN/m

Middle Zone

DL (Roof) -0.31 kN/mDL (Roof+Ceiling) -0.31 kN/m

DL (Roof) +Ws -0.90 kN/m

DL (Roof+Ceil) +Ws -0.90 kN/m

Roof + Ceiling

(Point Load)

Roof + Ceiling



Ceiling UDL 25 kg/m

-0.250 kN/m

Upwards Downwards Theta = 90 Upwards Downwards refer to struct

1.19 1 kleq theta=90 1.21 1

Upwards Downwards Upwards Downwards vector up +

1.071 -0.200 Cpe*kleq 1.089 -0.200 vector dow

assuming1.1 kPa qult theta=90 1.1 kPa may need t

1.980 kN/m qult theta=90 1.980 kN/m

Theta = 90

kN/m 0.990 kN/m

kN/m -0.990 kN/m

kN/m



kN/m

kN/m

kN/m

-1.606 kN/m

kN/m Upwards

kN/m Downwards

Roof + Ceiling

(UDL)



ural toolkit wind.xls

ve

n -ve

c=1o separate downwards Cpe into length and breadth of the building to accommodate for different zones.



Girts Girt Span Girt Centres 1800 mm

Wall 1 10000 mm

Wall 2 50000 mm

Building Roof Area 18.000 m2

LOADING

ratio serv/ult 0.6

a 1000 mm

Cpe 1.24 -1.24 0 0 0

Cpi 0 0 0 0 0

mm

Hieght of

Building4500 mm

Depth of

Building5000 mm

Breadth of

Building10000 mm

Ceiling Load

Width

GEOMETRY

0

Wind Load

Windward Wall Side Wall

OutwardsVECTORS Inwards OutwardsInwards

Wall 1Inwards Wall 2



Wall 1 kleq theta=0 1.05 1.25 Wall 2 kleq the 1.21

Wall 1 kleq theta=9 1.21 Wall 2 kleq the 1.01 1.25

Inwards Outwards Inwards Outwards

Cpe*kleq 1.299 -1.240

Wall 2 Side Cpe*kle 0.000 0.000

Cpe*kleq 0.000 0.000 Wall 2 Windwa Cpe*kle 1.252 -1.240

qult theta=0 1.1 kPa qult theta=90 1.1 kPa

qult theta=0 1.980 kN/m qult theta=90 1.980 kN/m

Theta = 0 Theta = 90 Theta = 0 T

Inwards 2.572 kN/m 0.000 kN/m Inwards 0.000 kN/m

Outwards -2.455 kN/m 0.000 kN/m Outwards 0.000 kN/m

Ultimate Critical 2.572 kN/m Critical 2.480 kN/m

Critical -2.455 kN/m Critical -2.455 kN/m

Service Critical 1.543 kN/m Design Critical 1.488 kN/m

Critical -1.473 kN/m Critical -1.473 kN/m

LOAD

COMBINATI

ONS

Wu Inwards Outwards

Wall 1 2.572 -2.455

Wall 2 2.480 -2.455

Ws Inwards Outwards

Wall 1 1.543 -1.473

Wall 2 1.488 -1.473

Design For:

Wall 1

Wall 1

Windward

Wall 1 Side

DESIGN OF

PURLINS

Wall 2



Ultimate Inwards Outwards

Wall 1 2.57 -2.46

Wall 2 2.48 -2.46

Serviceability Inwards Outwards

Wall 1 1.54 -1.47

Wall 2 1.49 -1.47



refer to structural toolkit wind.xls

windward at theta=0 = sidewall at theta=90

vector up +ve

vector down -ve

assuming kc=1



kN/m

kN/m



Purlin Design

Approximate Local Pressure Calculator

Refer to Cl 5.4.4 and D1.6 for local pressure factors

Local Pressure Zone (a) = 1000 mm

Windward Long Edge theta=0

Internal Span (L) = 5000 mm

kl = 1.50 kl = 2.00

a = 1000 mm a / 2 = 500 mm

kl.eqv = 1.18 kl.eqv = 1.19

Edge theta=90

End Span (Le) = 5000 mm

kl = 1.50 kl = 2.00

a = 1000 mm a / 2 = 500 mm

kl.eqv = 1.21 kl.eqv = 1.14

Girt Design theta=0




Wall 1


kl = 1.25

a = 1000 mm

kl.eqv = 1.05

Wall 2




kl = 1.50 kl = 2.00

a = 1000 mm a / 2 = 500 mm

kl.eqv = 1.21 kl.eqv = 1.14

Girt Design theta=90




Wall 2


kl = 1.25

a = 1000 mm

kl.eqv = 1.01

Wall 1


kl = 1.50 kl = 2.00

a = 1000 mm a / 2 = 500 mm

kl.eqv = 1.21 kl.eqv = 1.14



Section properties V3.00

Default Section = 8 (Z200-15)

d1

Description Weight d bf tf tw r1 d1 tw

kg/m mm mm mm mm mm mm mm

Z350-30 15.19 350 129 3.0 3.0 5.00 334

Z300-30 12.69 300 100 3.0 3.0 5.00 284

Z300-24 10.18 300 100 2.4 2.4 5.00 285

Z250-24 8.17 254 79 2.4 2.4 5.00 239

Z250-19 6.50 254 79 1.9 1.9 5.00 240

Z200-24 7.21 203 79 2.4 2.4 5.00 188

Z200-19 5.74 203 79 1.9 1.9 5.00 189

Z200-15 4.50 203 79 1.5 1.5 5.00 190

Z150-24 5.67 152 66 2.4 2.4 5.00 137

Z150-19 4.51 152 65 1.9 1.9 5.00 138

Z150-15 3.59 152 65 1.5 1.5 5.00 139

Z150-12 2.90 152 65 1.2 1.2 5.00 140

Z150-10 2.43 152 65 1.0 1.0 5.00 140

Z100-19 3.29 102 53 1.9 1.9 5.00 88

Z100-15 2.61 102 53 1.5 1.5 5.00 89

Z100-12 2.11 102 53 1.2 1.2 5.00 90

Z100-10 1.77 102 53 1.0 1.0 5.00 90



(bf-tw)

2tf Ag Ix Zx Sx rx Iy Zy Sy

mm mm2 x106 mm4 x103 mm3 x103 mm3mm x106 mm4 x103 mm3 x103 mm3

1905 35.8 207 137 5.95 49

1593 21.4 144 116 3.05 32.8

1268 17 115 116 2.32 24.8

1022 9.62 76.8 96.9 1.07 14.7

808 7.65 60.9 97.2 0.85 11.4

903 5.68 56.9 79.3 1.08 14.8

713 4.53 45.2 79.6 0.86 11.5

555 3.54 35.3 79.7 0.63 8.45

710 2.53 34 59.6 0.63 10.5

561 2.02 26.9 59.9 0.5 8.11

443 1.61 21.4 60.1 0.39 6.34

355 1.29 17.2 60.3 0.31 5.04

295 1.08 14.4 60.4 0.26 4.17

409 0.67 13.5 40.5 0.25 5.23

323 0.54 10.8 40.8 0.2 4.05

258 0.44 8.68 41.0 0.16 3.21

215 0.36 7.27 41.1 0.13 2.66



ry J Iw flange web kf C,N,S Zex C,N,S

mm x103 mm4 x109 mm6MPa MPa x103 mm3

55.8 5.715 130 450 450 151

43.7 4.77 50.9 450 450 119

42.8 2.419 38.5 450 450 89

32.3 1.958 13.1 450 450 60.6

32.3 0.972 10.3 450 450 45.2

34.6 1.728 8.06 450 450 43.3

34.6 0.857 6.34 450 450 33.8

33.6 0.416 4.64 450 450 23

29.8 1.359 2.62 450 450 28.4

29.7 0.674 2.05 450 450 19.9

29.6 0.332 1.61 450 450 15.6

29.5 0.17 1.28 500 500 11.2

29.5 0.098 1.06 550 550 8.12

24.8 0.492 0.46 450 450 11.4

24.8 0.242 0.36 450 450 7.88

24.8 0.124 0.29 500 500 6.09

24.7 0.072 0.24 550 550 4.78



Zey Doubler Stiffener ZeyR Bf (Bot.) αb Fu xL Xo

x103 mm3mm mm MPa

32.8 121 1.0 480 0

22.1 93 1.0 480 0

17.1 93 1.0 480 0

10.2 74 1.0 480 0

8.01 74 1.0 480 0

9.69 74 1.0 480 0

7.61 74 1.0 480 0

5.67 74 1.0 480 0

6.35 61 1.0 480 0

4.96 61 1.0 480 0

3.91 61 1.0 480 0

3.1 61 1.0 520 0

2.55 61 1.0 550 0

2.98 49 1.0 480 0

2.35 49 1.0 480 0

1.87 49 1.0 520 0

1.55 49 1.0 550 0



r2 ZeyD In Ip ZexC nL



pB Residual Lip Ae βy

Stress mm mm2mm

LCF 30.0

LCF 31.5

LCF 28.0

LCF 20.5

LCF 19.0

LCF 21.0

LCF 19.5

LCF 16.0

LCF 18.5

LCF 17.0

LCF 16.0

LCF 15.0

LCF 14.5

LCF 15.0

LCF 14.0

LCF 13.0

LCF 12.5



Section properties V3.00

Default Section = 8 (C200-15)

d1

Description Weight d bf tf tw r1 d1 tw

kg/m mm mm mm mm mm mm mm

C350-30 15.19 350 125 3.0 3.0 5.00 334

C300-30 12.69 300 96 3.0 3.0 5.00 284

C300-24 10.18 300 96 2.4 2.4 5.00 285

C250-24 8.17 254 76 2.4 2.4 5.00 239

C250-19 6.50 254 76 1.9 1.9 5.00 240

C200-24 7.21 203 76 2.4 2.4 5.00 188

C200-19 5.74 203 76 1.9 1.9 5.00 189

C200-15 4.50 203 76 1.5 1.5 5.00 190

C150-24 5.67 152 64 2.4 2.4 5.00 137

C150-19 4.51 152 64 1.9 1.9 5.00 138

C150-15 3.59 152 64 1.5 1.5 5.00 139

C150-12 2.90 152 64 1.2 1.2 5.00 140

C150-10 2.43 152 64 1.0 1.0 5.00 140

C100-19 3.29 102 51 1.9 1.9 5.00 88

C100-15 2.61 102 51 1.5 1.5 5.00 89

C100-12 2.11 102 51 1.2 1.2 5.00 90

C100-10 1.77 102 51 1.0 1.0 5.00 90



(bf-tw)

2tf Ag Ix Zx Sx rx Iy Zy Sy

mm mm2 x106 mm4 x103 mm3 x103 mm3mm x106 mm4 x103 mm3 x103 mm3

1905 35.8 205 137.0 3.83 42.4

1593 21.3 142 116.0 1.97 28.6

1268 17 113 116.0 1.51 21.7

1022 9.62 75.7 96.9 0.72 12.8

808 7.64 60.2 97.1 0.57 10

903 5.69 56 79.3 0.68 12.7

713 4.53 44.6 79.6 0.54 9.92

555 3.54 34.8 79.7 0.4 7.26

710 2.54 33.5 59.7 0.39 8.78

561 2.03 26.7 60.0 0.3 6.86

443 1.61 21.2 60.2 0.24 5.36

355 1.3 17 60.4 0.19 4.26

295 1.08 14.2 60.5 0.16 3.53

409 0.68 13.2 40.5 0.15 4.3

323 0.54 10.6 40.8 0.11 3.35

258 0.44 8.52 41.0 0.09 2.66

215 0.36 7.14 41.1 0.08 2.2



ry J Iw flange web kf C,N,S Zex C,N,S

mm x103 mm4 x109 mm6MPa MPa x103 mm3

44.7 5.715 91.6 450 450 159

35.1 4.77 36.3 450 450 124

34.6 2.419 27.2 450 450 91.7

26.5 1.958 9.14 450 450 64.9

26.5 0.972 7.17 450 450 46.5

27.4 1.728 5.63 450 450 47.5

27.4 0.857 4.41 450 450 36.8

26.8 0.416 3.19 450 450 24.3

23.3 1.359 1.84 450 450 31

23.2 0.674 1.43 450 450 22

23.2 0.332 1.12 450 450 17.2

23.2 0.17 0.88 500 500 11.9

23.2 0.098 0.73 550 550 8.59

18.8 0.492 0.33 450 450 12.4

18.7 0.242 0.25 450 450 8.82

18.7 0.124 0.2 500 500 6.8

18.7 0.072 0.16 550 550 5.37



Zey Doubler Stiffener ZeyR αb Fu xL Xo

x103 mm3mm mm MPa

37.9 1.0 480 33.3

26.3 1.0 480 25.8

19.6 1.0 480 25.0

11.8 1.0 480 18.4

8.94 1.0 480 18.3

11.9 1.0 480 21.1

9.01 1.0 480 20.9

6.4 1.0 480 20.1

8.51 1.0 480 18.9

6.46 1.0 480 18.7

4.9 1.0 480 18.6

3.72 1.0 520 18.5

2.99 1.0 550 18.4

4.21 1.0 480 16.4

3.22 1.0 480 16.3

2.45 1.0 520 16.2

1.97 1.0 550 16.1



r2 ZeyD In Ip ZexC nL



pB Residual Lip Ae βy

Stress mm mm2mm

LCF 30.0

LCF 31.5

LCF 28.0

LCF 20.5

LCF 19.0

LCF 21.0

LCF 19.5

LCF 16.0

LCF 18.5

LCF 17.0

LCF 16.0

LCF 15.0

LCF 14.5

LCF 15.0

LCF 14.0

LCF 13.0

LCF 12.5

purlin and girt design

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