Angles - Truss design

7/23/2019 Angles - Truss design

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F M Engineering Ltd.

01/04

Use this sheet to determine the compressive resistance of a truss section of 4 anles.

!nput data in the "lue fields.

" t

a

#

x d

$

Data:

a % 1.& inches 38.1 mm 'enth of anle

" % 1.& inches 38.1 mm (idth of anle

t % 0.2& inches 6.4 mm )hic*ness of anle

$ % 48 inches 1219.2 mm +verall $idth of truss

d % 12 inches 304.8 mm +verall depth of truss

, % 1 -ffective 'enth actor from iure 1 pae 1137 8th -d

' % 163.4 inches 41&0 mm +verall lenth of truss

, mid % 0.8 verae for pinned ends *%15 and fixed ends *%0.&5 as per i 1' mid % 48 inches 1219 mm 'enth "et$een "races

aterial luminum teel luminum

0.9 aterial eduction actor

1220& l"s &4.3 * actored xial 'oad on )russ

Interaction Equation:

0.30 or overall truss

0.86 or each le "et$een "races

Calculated values:

rea % 0.688 444 rea of each anle

2.7&0 1774 om"ined ross ectional rea

! x % 0.14 &76&8 oment of inertia of each anle

! # % 0.14 &76&8

84.8 3.&3-:07 om"ined oment of inertia a"out hori;ontal axis

1&23.7 6.34-:08 om"ination oment of inertia a"out vertical axis

For Truss:

,' % 163.4 inches 41&0 mm -ffective lenth

&.6 inches 141 mm

23.& inches &98 mm adius of <#ration a"out vertical axis

30 30

7 7

rx / % 14=778 psi 101.9 >a Unit actored ompressive esistance

r# / % 17=100 psi 117.9 >a for luminum

rx / % 42=931 psi 296 >a Unit actored ompressive esistance

r# / % 4&=687 psi 31& >a for teel

40=640 l"s 180.8 * actored xial ompressive esistance of )russ

For Each Leg:

38.4 inches 97& mm -ffective lenth

0.44887&6 inches 11 mm

0.44887&6 inches 11 mm adius of <#ration a"out vertical axis

86 86

86 86

rx / % 6=206 psi 42.8 >a Unit actored ompressive esistance

r# / % 6=206 psi 42.8 >a for luminum

rx / % 23=496 psi 162 >a Unit actored ompressive esistance

r# / % 23=496 psi 162 >a for teel

4=267 l"s 19.0 * actored xial ompressive esistance of -ach 'e

φ %

f %

f / r) %

30? f / r' %

in2 mm2

total

% in2 mm2

in4 mm4

in4 mm4

!x tot

% in4 mm4

!# tot

% in4 mm4

r x % adius of <#ration a"out hori;ontal axis % √ !x /

r # %

,' / r x %

,' / r # %

r) %

,mid

@'mid

%

r x mid

% adius of <#ration a"out hori;ontal axis % √ !x /

r # mid

%

,m@'

m / r

x m %

,m@'

m / r

# m %

r' %



KL/r Fy [MPa from )a"le 44 pae 413 and"oo* of teel onstruction 7th -dition !

1 31&

2 31&

3 31&

4 31&

& 31&

6 31&7 31&

8 314

9 314

10 314

11 314

12 313

13 313

14 312

1& 312

16 311

17 311

18 31019 309

20 308

21 307

22 307

23 30&

24 304

2& 303

26 302

27 301

28 299

29 298

30 29631 29&

32 293

33 291

34 290

3& 288

36 286

37 284

38 282

39 280

40 278

41 27&

42 27343 271

44 269

4& 266

46 264

47 261

48 2&9

49 2&6



&0 2&4

&1 2&1

&2 249

&3 246

&4 243

&& 241

&6 238&7 23&

&8 233

&9 230

60 227

61 22&

62 222

63 219

64 217

6& 214

66 211

67 209

68 20669 203

70 201

71 198

72 196

73 193

74 191

7& 188

76 186

77 183

78 181

79 178

80 17681 173

82 171

83 169

84 166

8& 164

86 162

87 160

88 1&8

89 1&&

90 1&3

91 1&1

92 14993 147

94 14&

9& 143

1.112-:079 141

97 139

98 137

99 13&

400 134



101 132

102 130

1.03 128

104 127

106 123

108 120

109 118

110 117

111 11&

112 114

113 112

114 111

11& 109

116 108

117 106

118 10&

119 104120 102

121 101

122 99.7

123 98.4

124 97.2

12& 96

126 94.7

127 93.&

128 92.4

129 91.2

130 90.1

131 89132 87.9

133 86.8

134 8&.7

13& 84.7

136 83.6

137 82.6

138 81.6

139 80.7

140 79.7

141 78.7

142 77.8

143 76.9144 76

14& 7&.1

146 74.2

147 73.3

148 72.&

149 71.7

1&0 70.8

1&1 70



1&2 69.2

1&3 68.4

1&4 67.7

1&& 66.9

1&6 66.2

1&7 6&.4

1&8 64.71&9 64

160 63.3

161 62.6

162 61.9

163 61.2

164 60.6

16& &9.9

166 &9.3

167 &8.6

168 &8

169 &7.4

170 &6.8171 &6.2

172 &&.6

173 &&

174 &4.&

17& &3.9

176 &3.3

177 &2.8

178 &2.3

179 &1.7

180 &1.2

181 &0.7

182 &0.2183 49.7

184 49.2

18& 48.7

186 48.2

187 47.7

188 47.3

189 46.8

190 46.4

191 4&.9

192 4&.&

193 4&

194 44.619& 44.2

196 43.8

197 43.4

198 43

199 42.6

200 42.2







































































































































































































10& 12&





KL/r Fy [!si from pae 663 echanics of aterials 2nd -dition Aeer B Cohnston

1 19 %19 *si for '/r D 9.&

2 19

3 19

4 19

& 19

6 197 19

8 19

9 19

9.& 19

10 18.94 %20.2 0.126 @ '/r for 9.& D '/r D 66

11 18.814

12 18.688

13 18.&62

14 18.436

1& 18.31

16 18.184

17 18.0&818 17.932

19 17.806

20 17.68

21 17.&&4

22 17.428

23 17.302

24 17.176

2& 17.0&

26 16.924

27 16.798

28 16.672

29 16.&4630 16.42

31 16.294

32 16.168

33 16.042

34 1&.916

3& 1&.79

36 1&.664

37 1&.&38

38 1&.412

39 1&.286

40 1&.16

41 1&.03442 14.908

43 14.782

44 14.6&6

4& 14.&3

46 14.404

47 14.278

48 14.1&2



49 14.026

&0 13.9

&1 13.774

&2 13.648

&3 13.&22

&4 13.396

&& 13.27&6 13.144

&7 13.018

&8 12.892

&9 12.766

60 12.64

61 12.&14

62 12.388

63 12.262

64 12.136

6& 12.01

66 11.7

67 11.468 11.0

69 10.7

70 10.4

71 10.1

72 9.8

73 9.6

74 9.3

7& 9.1

76 8.8

77 8.6

78 8.4

79 8.280 8.0

81 7.8

82 7.6

83 7.4

84 7.2

8& 7.1

86 6.9

87 6.7

88 6.6

89 6.4

90 6.3

91 6.292 6.0

93 &.9

94 &.8

9& &.7

96 &.&

97 &.4

98 &.3

% &1000 / '/r52 for '/r E 66



99 &.2

100 &.1

101 &.0

102 4.9

103 4.8

104 4.7

10& 4.6106 4.&

107 4.&

108 4.4

109 4.3

110 4.2

111 4.1

112 4.1

113 4.0

114 3.9

11& 3.9

116 3.8

117 3.7118 3.7

119 3.6

120 3.&

121 3.&

122 3.4

123 3.4

124 3.3

12& 3.3

126 3.2

127 3.2

128 3.1

129 3.1130 3.0

131 3.0

132 2.9

133 2.9

134 2.8

13& 2.8

136 2.8

137 2.7

138 2.7

139 2.6

140 2.6

141 2.6142 2.&

143 2.&

144 2.&

14& 2.4

146 2.4

147 2.4

148 2.3

149 2.3



1&0 2.3

1&1 2.2

1&2 2.2

1&3 2.2

1&4 2.2

1&& 2.1

1&6 2.11&7 2.1

1&8 2.0

1&9 2.0

160 2.0

161 2.0

162 1.9

163 1.9

164 1.9

16& 1.9

166 1.9

167 1.8

168 1.8169 1.8

170 1.8

171 1.7

172 1.7

173 1.7

174 1.7

17& 1.7

176 1.6

177 1.6

178 1.6

179 1.6

180 1.6181 1.6

182 1.&

183 1.&

184 1.&

18& 1.&

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Angles - Truss design