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Problem 3 Compute the nominal compressive strength of the member shown. Use the theoretical value for K (Refer to table C-A-7.1). 14' HP 16 x 121 A572 Grade 55 ASTM Designation A572 Gr. 42 Gr. 50 Gr. 55 Gr. 60⁰ Gr. 65⁰ Fy Yield Stress (ksi) 42 50 55 60 65 Fu Tensile Stressª (ksi) 60 8 6 8 8 8 65 70 75 80

Problem 3 Compute the nominal compressive strength of the member shown. Use the theoretical value for K (Refer to table C-A-7.1). 14' HP 16 x 121 A572 Grade 55 ASTM Designation A572 Gr. 42 Gr. 50 Gr. 55 Gr. 60⁰ Gr. 65⁰ Fy Yield Stress (ksi) 42 50 55 60 65 Fu Tensile Stressª (ksi) 60 8 6 8 8 8 65 70 75 80

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Problem 3 Compute the nominal compressive strength of the member shown. Use the theoretical value for K (Refer to table C-A-7.1). 14' Buckled shape of column is shown by dashed line Theoretical K value Recommended design value when ideal conditions are approximated End condition code HP 16 x 121 A572 Grade 55 (a) wwwm 0.5 TABLE C-A-7.1 Approximate Values of Effective Length Factor, K 0.65 (b) i ਮਾਸਾਹਾਰ ਕਰਤਾਰ 0.7 0.80 www ASTM Designation www A572 (c) 1.0 1.2 Gr. 42 Gr. 50 1 C Gr. 55 Gr. 60⁰ Gr. 65⁰ (d) 1 ww randa 4 1.0 1.0 Fy Fu Yield Tensile Stress Stressa (ksi) (ksi) m 42 50 55 60 65 2.0 2.1 Rotation fixed and translation fixed Rotation free and translation fixed Rotation fixed and translation free Rotation free and translation free 1 RELA 60 65 70 75 80 (1) 2.0 2.0
Transcribed Image Text:Problem 3 Compute the nominal compressive strength of the member shown. Use the theoretical value for K (Refer to table C-A-7.1). 14' Buckled shape of column is shown by dashed line Theoretical K value Recommended design value when ideal conditions are approximated End condition code HP 16 x 121 A572 Grade 55 (a) wwwm 0.5 TABLE C-A-7.1 Approximate Values of Effective Length Factor, K 0.65 (b) i ਮਾਸਾਹਾਰ ਕਰਤਾਰ 0.7 0.80 www ASTM Designation www A572 (c) 1.0 1.2 Gr. 42 Gr. 50 1 C Gr. 55 Gr. 60⁰ Gr. 65⁰ (d) 1 ww randa 4 1.0 1.0 Fy Fu Yield Tensile Stress Stressa (ksi) (ksi) m 42 50 55 60 65 2.0 2.1 Rotation fixed and translation fixed Rotation free and translation fixed Rotation fixed and translation free Rotation free and translation free 1 RELA 60 65 70 75 80 (1) 2.0 2.0
8:57 Shape 3 of 3 X- Nom inal Wt. HP14x117 x102 x89 x73 - H- Y by Area, A k. -X Compact Section Criteria ..mit to the LORD whatever you do, and your plans will succeed. Proverbs 16:3 6 God bless. Ⓒ Depth, d in.² in. in. HP18x204 60.2 18.3 18% 1.13 1% x181 53.2 18.0 18 1.00 1 x157 46.2 17.7 x135 39.9 17.5 HP16x183 54.1 16.5 x162 47.7 16.3 x141 41.7 16.0 x121' 35.8 15.8 x101 29.9 15.5 x88 25.8 15.3 CE497_R3 FE Axis X-X by I h 20 t in. in. Table 1-4 HP-Shapes Dimensions Web Thickness, l lb/ft 204 8.01 12.1 3480 380 181 9.00 13.6 3020 336 157 10.3 15.6 2570 290 135 11.9 18.2 2200 251 183 7.21 10.5 2510 304 162 8.05 11.9 2190 269 141 9.14 13.6 1870 234 121 10.6 15.9 1590 201 101 12.6 19.0 1300 168 88 14.5 22.0 1110 145 17% 0.870 776 172 0.750 4 16% 1.13 1% %16 16.3 162 164 1.00 1 2 16.1 16% 16 0.875 77 16.0 16 15% 0.750 % 15.9 15% 15% 0.625 % 5/16 15.8 15% 0.625 15% 0.540 %/16 5/16 15.7 156 0.540 117 9.25 14.2 1220 172 102 10.5 16.2 1050 150 89 11.9 18.5 904 131 73 14.4 22.6 729 107 Sr in. in. 7.60 433 7.53 379 7.46 327 7.43 281 34.4 14.2 144 0.805 15/16 7/16 14.9 14% 0.805 14 0.705 116 14% 0.705 30.1 14.0 14.8 13% 0.615% 5/16 14.7 14% 0.615 26.1 13.8 5 17/ 1½ 21.4 13.6 13% 0.505 24 14.6 14% 0.505 12 14 16 . | ܐ 2 in. in. % 18.1 18% 2 18.0 18 17.9 17% 8 17.8 174 6.81 349 6.78 306 6.70 264 6.66 226 6.59 187 6.56 161 Width, b 5.96 194 5.92 169 5.88 146 5.84 118 Table 1-4 (continued) HP-Shapes Properties Flange in. Thickness, 1₁ in. 1.13 1% 1.00 1 0.870 / 0.750 34 in. 1120 124 974 108 833 93.1 706 79.3 443 380 326 261 Axis Y-Y SZ in. in.3 1.13 1% 2516 14 11% 5% 216 116 216 15/ 1.00 1 0.875 0.750 %4 115/16 1/16 $11/16 1/2 %/16 1/4 1/16 4.31 191 4.28 167 4.25 143 4.21 122 59.5 3.59 51.4 3.56 44.3 3.53 35.8 3.49 in. in. in. in. 216 14 13½ 7½ 2%/16 1/16 216 15 115/16 1/16 Distance 13/162/16 15/ 11% 5% 116 115/16 1/16 in. in. 5.03 17.2 4.96 17.0 818 100 3.89 156 4.55 15.4 697 86.6 3.82 134 4.45 15.3 599 74.9 3.79 116 4.40 15.1 504 63.4 3.75 97.6 4.34 15.1 412 52.2 3.71 80.1 4.27 14.9 349 44.5 3.68 68.2 4.21 14.8 4.92 16.8 4.85 16.8 91.4 4.15 13.4 78.8 4.10 13.3 67.7 4.05 13.2 54.6 4.00 13.1 5G 53 Workable Gage H J S.M. HP-SHAPES Torsional Properties 0.00451 29.5 0.00362 20.7 in. in. 0.00285 13.9 0.00216 9.12 82500 70400 59000 49500 0.00576 26.9 48300 0.00457 18.8 0.00365 12.9 40800 34300 0.00275 8.35 28500 0.00203 5.07 22800 0.00161 3.45 19000 0.00348 8.02 19900 0.00270 5.39 16800 0.00207 3.59 14200 0.00143 2.01 11200
Transcribed Image Text:8:57 Shape 3 of 3 X- Nom inal Wt. HP14x117 x102 x89 x73 - H- Y by Area, A k. -X Compact Section Criteria ..mit to the LORD whatever you do, and your plans will succeed. Proverbs 16:3 6 God bless. Ⓒ Depth, d in.² in. in. HP18x204 60.2 18.3 18% 1.13 1% x181 53.2 18.0 18 1.00 1 x157 46.2 17.7 x135 39.9 17.5 HP16x183 54.1 16.5 x162 47.7 16.3 x141 41.7 16.0 x121' 35.8 15.8 x101 29.9 15.5 x88 25.8 15.3 CE497_R3 FE Axis X-X by I h 20 t in. in. Table 1-4 HP-Shapes Dimensions Web Thickness, l lb/ft 204 8.01 12.1 3480 380 181 9.00 13.6 3020 336 157 10.3 15.6 2570 290 135 11.9 18.2 2200 251 183 7.21 10.5 2510 304 162 8.05 11.9 2190 269 141 9.14 13.6 1870 234 121 10.6 15.9 1590 201 101 12.6 19.0 1300 168 88 14.5 22.0 1110 145 17% 0.870 776 172 0.750 4 16% 1.13 1% %16 16.3 162 164 1.00 1 2 16.1 16% 16 0.875 77 16.0 16 15% 0.750 % 15.9 15% 15% 0.625 % 5/16 15.8 15% 0.625 15% 0.540 %/16 5/16 15.7 156 0.540 117 9.25 14.2 1220 172 102 10.5 16.2 1050 150 89 11.9 18.5 904 131 73 14.4 22.6 729 107 Sr in. in. 7.60 433 7.53 379 7.46 327 7.43 281 34.4 14.2 144 0.805 15/16 7/16 14.9 14% 0.805 14 0.705 116 14% 0.705 30.1 14.0 14.8 13% 0.615% 5/16 14.7 14% 0.615 26.1 13.8 5 17/ 1½ 21.4 13.6 13% 0.505 24 14.6 14% 0.505 12 14 16 . | ܐ 2 in. in. % 18.1 18% 2 18.0 18 17.9 17% 8 17.8 174 6.81 349 6.78 306 6.70 264 6.66 226 6.59 187 6.56 161 Width, b 5.96 194 5.92 169 5.88 146 5.84 118 Table 1-4 (continued) HP-Shapes Properties Flange in. Thickness, 1₁ in. 1.13 1% 1.00 1 0.870 / 0.750 34 in. 1120 124 974 108 833 93.1 706 79.3 443 380 326 261 Axis Y-Y SZ in. in.3 1.13 1% 2516 14 11% 5% 216 116 216 15/ 1.00 1 0.875 0.750 %4 115/16 1/16 $11/16 1/2 %/16 1/4 1/16 4.31 191 4.28 167 4.25 143 4.21 122 59.5 3.59 51.4 3.56 44.3 3.53 35.8 3.49 in. in. in. in. 216 14 13½ 7½ 2%/16 1/16 216 15 115/16 1/16 Distance 13/162/16 15/ 11% 5% 116 115/16 1/16 in. in. 5.03 17.2 4.96 17.0 818 100 3.89 156 4.55 15.4 697 86.6 3.82 134 4.45 15.3 599 74.9 3.79 116 4.40 15.1 504 63.4 3.75 97.6 4.34 15.1 412 52.2 3.71 80.1 4.27 14.9 349 44.5 3.68 68.2 4.21 14.8 4.92 16.8 4.85 16.8 91.4 4.15 13.4 78.8 4.10 13.3 67.7 4.05 13.2 54.6 4.00 13.1 5G 53 Workable Gage H J S.M. HP-SHAPES Torsional Properties 0.00451 29.5 0.00362 20.7 in. in. 0.00285 13.9 0.00216 9.12 82500 70400 59000 49500 0.00576 26.9 48300 0.00457 18.8 0.00365 12.9 40800 34300 0.00275 8.35 28500 0.00203 5.07 22800 0.00161 3.45 19000 0.00348 8.02 19900 0.00270 5.39 16800 0.00207 3.59 14200 0.00143 2.01 11200
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