HSS Hollow Structural Sections DIMENSIONS AND SECTION PROPERTIES HSS: TECHNICAL BROCHURE ©2013 Steel Tube Institute 2516 Waukegan Road, Suite 172 Glenview, IL 60025 TEL: 847.461.1701 FAX: 847.660.7981 Technical Brochure: Dimensions & Section Properties HSS Manufacturing Methods The transformation of steel strip into hollow structural sections (HSS) is the result of a series of operations including forming, welding and sizing. Currently three methods are being used in North America for the manufacture of HSS. These methods are described below. Each method meets ASTM A-500 and CSA G-40.21-92 requirements for the the manufacture of HSS, and the sizes listed in this brochure may be produced to either standard. Electric Resistance Welding (ERW) Process In the tube mill, flat steel strip (1) is formed continuously around its longitudinal axis to produce a round tube. This is done by moving the strip through a progressive set of rolls (2-6). The strip edges (7) are heated by either high frequency induction or contact welding and then forged together by weld rolls to create a continuous longitudinal weld without the addition of filler metal. The weld seam (8) is then cooled and processed through a set of sizing shaping rolls which cold-form it into a round (9), square (10) or rectangular (11) section. Form-Square Weld-Square (ERW) Process In the tube mill, flat steel strip (1) is formed continuously around its longitudinal axis to produce a round tube. This is done by moving the strip through a progressive set of rolls (2-6). The strip edges (7) are heated by either high frequency induction or contact welding and then forged together by weld rolls to create a continuous longitudinal weld without the addition of filler metal. The weld seam (8) is then cooled and processed through a set of sizing shaping rolls which cold-form it into a round (9), square (10) or rectangular (11) section. Submerged Arc Weld (SAW) Process In the tube mill, flat steel strip (1) is formed continuously around its longitudinal axis to produce a round tube. This is done by moving the strip through a progressive set of rolls (2-6). The strip edges (7) are heated by either high frequency induction or contact welding and then forged together by weld rolls to create a continuous longitudinal weld without the addition of filler metal. The weld seam (8) is then cooled and processed through a set of sizing shaping rolls which cold-form it into a round (9), square (10) or rectangular (11) section. HSS Hollow Structural Sections STEELTUBEINSTITUTE.ORG/HSS Technical Brochure: Dimensions & Section Properties TITLE IF NECESSARY Foreword Note: The information presented in this publication has been prepared in accordance with recognized engineering principles and is for general information only.While it is believed to be accurate, this information should not be used or relied upon for any specific application without competent professional examination and verification of its accuracy, suitability, and applicability by a licensed professional engineer, designer, or architect.The publication of the material contained herein is not intended as a representation or warranty on the part of The Steel Tube Institute of North America or of any other person named herein, that this information is suitable for any general or particular use or of freedom from infringement of any patent or patents.Anyone making use of this information assumes all liability arising from such use. Caution must be exercised when relying upon other specifications and codes developed by other bodies and incorporated by reference herein since such material may be modified or amended from time to time subsequent to the printing of this edition.The Institute bears no responsibility for such material other than to refer to it and incorporate it by reference at the time of the initial publication of this edition. This publication presents tables of dimensions and section properties for rectangular, square, and round Hollow Structural Sections (HSS). HSS with a maximum periphery of 64 inches are manufactured by the electric-resistance welding (ERW) process. HSS with peripheries greater than 64 inches are manufactured by the submerged arc welding (SAW) process. See HSS Manufacturing Methods inside front cover in this publication. The dimensions, including nominal width, nominal depth, nominal diameter and nominal wall thickness are subject to the permissible variations stipulated in ASTM A500 “Standard Specification for Cold-Formed Welded and Seamless Carbon Steel Structural Tubing in Rounds and Shapes”. With today’s manufacturing methods, HSS are produced with more precision than in the past. The strip used to produce HSS is now ordered to thicknesses with tighter tolerances. As a result, ERW HSS manufactured to A500 will often have a wall thickness close to the Specification allowable value. In a change from past practice, section property data is now based upon the design wall thickness. The design wall thickness, t, for ERW HSS is less than the specified nominal wall thickness. For SAW HSS, the design wall thickness, t, is equal to the specified nominal wall thickness.The design wall thickness for each HSS size is included in the tabulated data. The section property data based upon the design wall thickness, t, results in variations in the published area data that do not exceed 3.50% of the data based upon the minimum permissible wall thickness stipulated in ASTM A500. This is consistent with the similar section property data published for hot rolled structural shapes and the manufacturing tolerances associated with those products. The section property data for rectangular and square ERW HSS are based upon outside corner radii equal to 2.0 times the design wall thickness. The section property data for rectangular and square SAW HSS are based upon outside corner radii equal to 3.6 times the design wall thickness for SAW sections with 5/8 inch nominal wall thicknesses; and 3.0 times the design wall thickness for SAW sections with nominal wall thicknesses equal to 1/2 inch and 3/8 inch. General availability information for each size of HSS manufactured to ASTM A500 Grade B is contained in The Steel Tube Institute’s companion publication “Principal Producers and Capabilities”. Tables, summarizing the capabilities of principal producers by specific size and wall thickness, are included for rectangular, square and round HSS. NOTE: The more universal terms “Hollow Structural Section”and “HSS”are used in this publication to designate rectangular, square and round structural steel tubing. These terms replace “structural tubing”and “pipe”, which had been used previously. The round Hollow Structural Sections include typical “pipe” size diameters and wall thicknesses, as well as typical HSS sizes. HSS Hollow Structural Sections STEELTUBEINSTITUTE.ORG/HSS Technical Brochure: Dimensions & Section Properties Table of Contents 2 14 2 Dimensions and Sections Properties of Rectangle HSS 14 Dimensions and Sections Properties of Square HSS 18 Dimensions and Sections Properties of Round HSS Nomenclature HSS Hollow Structural Sections STEELTUBEINSTITUTE.ORG/HSS b Nominal width minus 3 times the design wall thickness, t (in.) rx Radius of gyration with respect to the X-X axis (in.) C Torsional shear constant of cross-section (in.3) ry Radius of gyration with respect to the Y-Y axis (in.) D Outside diameter of round HSS (in.) S Elastic section modulus (in.3) h Nominal depth minus 3 times the design wall thickness, t (in.) Sx Elastic section modulus about the X-X axis (in.3) I Moment of inertia of cross-section (in.4) Sy Elastic section modulus about the Y-Y axis (in.3) Ix Moment of inertia of cross-section about the X-X axis (in.4) t Iy Moment of inertia of cross-section about the Y-Y axis (in.4) Plastic section modulus (in.3) J Torsional stiffness constant of cross-section (in.4) Z Zx r Governing radius of gyration (in.) Zy Plastic section modulus about the Y-Y axis (in.3) Design wall thickness (in.)... “units added” Plastic section modulus about the X-X axis (in.3) Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. in. in. Weight Wall per Thickness Foot t Ib. b/t h/t Torsional Shear Constant Surface Area Per Foot Cross Sectional Area lx Sx rx Zx ly Sy ry Zy J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 in. Y-Y Axis X-X Axis 32 x 24 x 5/8* 1/2* 3/8* 225.80 183.50 138.95 0.625 0.500 0.375 35.4 45.0 61.0 48.2 61.0 82.3 66.4 53.9 40.8 9880 8160 6250 617 510 391 12.2 12.3 12.4 733 601 458 6390 5280 4050 533 440 337 9.81 9.89 9.96 604 495 378 12600 10100 7670 913 739 560 9.01 9.12 9.17 30 x 24 x 5/8* 1/2* 3/8* 217.30 176.70 133.84 0.625 0.500 0.375 35.4 45.0 61.0 45.0 57.0 77.0 63.9 51.9 39.3 8480 7010 5380 565 468 359 11.5 11.6 11.7 668 548 418 6050 5000 3840 504 417 320 9.73 9.82 9.88 575 472 360 11400 9220 6990 854 692 524 8.68 8.79 8.84 28 x 24 x 5/8* 1/2* 3/8* 208.79 169.89 128.74 0.625 0.500 0.375 35.4 45.0 61.0 41.8 53.0 71.7 61.4 49.9 37.8 7210 5970 4580 515 426 327 10.8 10.9 11.0 605 497 379 5710 4730 3630 476 394 302 9.65 9.73 9.79 546 448 342 10300 8330 6320 796 645 489 8.34 8.45 8.51 26 x 24 x 5/8* 1/2* 3/8* 200.28 163.08 123.64 0.625 0.500 0.375 35.4 45.0 61.0 38.6 49.0 66.3 58.9 47.9 36.3 6060 5020 3860 466 386 297 10.1 10.2 10.3 545 448 342 5370 4450 3420 447 371 285 9.55 9.64 9.70 517 425 324 9240 7460 5660 737 598 453 8.01 8.12 8.17 24 x 22 x 5/8* 1/2* 3/8* 183.27 149.47 113.43 0.625 0.500 0.375 35.4 45.0 61.0 35.4 45.0 61.0 53.9 43.9 33.3 4680 3900 3000 390 325 250 9.33 9.42 9.49 458 378 289 4110 3420 2630 373 311 239 8.73 8.82 8.89 432 356 273 7150 5780 4390 621 504 383 7.34 7.45 7.51 22 x 20 x 5/8* 1/2* 3/8* 166.25 135.86 103.22 0.625 0.500 0.375 35.4 45.0 61.0 32.2 41.0 55.7 48.9 39.9 30.3 3530 2950 2280 321 269 207 8.51 8.60 8.67 379 313 240 3060 2560 1970 306 256 197 7.91 8.00 8.07 355 294 225 5400 4370 3330 514 418 318 6.68 6.79 6.84 This size produced by the submerged arc weld (SAW) process 2 Torsional Stiffness Constant Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. in. in. 3 Weight Wall per Thickness Foot t b/t h/t Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot Cross Sectional Area lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 Ib. in. Y-Y Axis X-X Axis 20 x 18 x 5/8* 1/2* 3/8* 149.24 122.25 93.01 0.625 0.500 0.375 25.8 33.0 45.0 29.0 37.0 50.3 43.9 35.9 27.3 2590 2180 1690 259 218 169 7.69 7.78 7.85 307 255 196 2210 1850 1440 245 206 160 7.10 7.19 7.25 286 238 183 3960 3220 2450 417 340 259 6.01 6.12 6.17 20 x 16 x 5/8* 1/2* 3/8* 140.73 115.45 87.91 0.625 0.500 0.375 22.6 29.0 39.7 29.0 37.0 50.3 41.4 33.9 25.8 2360 1990 1540 236 199 154 7.55 7.65 7.72 283 236 181 1680 1410 1100 210 177 137 6.37 6.46 6.52 243 203 156 3280 2670 2040 368 301 229 5.68 5.79 5.84 20 x 12 x 5/8 1/2 3/8 5/16 127.37 103.30 78.52 65.87 0.581 0.465 0.349 0.291 17.7 22.8 31.4 38.2 31.4 40.0 54.3 65.7 35.0 28.3 21.5 18.1 1880 1550 1200 1010 188 155 120 101 7.33 7.39 7.45 7.48 230 188 144 122 851 705 547 464 142 117 91.1 77.3 4.93 4.99 5.04 5.07 162 132 102 85.8 1890 1540 1180 997 257 209 160 134 5.17 5.20 5.23 5.25 20 x 8 x 5/8 1/2 3/8 5/16 110.36 89.68 68.31 57.36 0.581 0.465 0.349 0.291 10.8 14.2 19.9 24.5 31.4 40.0 54.3 65.7 30.3 24.6 18.7 15.7 1440 1190 926 786 144 119 92.6 78.6 6.89 6.96 7.03 7.07 185 152 117 98.6 338 283 222 189 84.6 70.8 55.6 47.4 3.34 3.39 3.44 3.47 96.4 79.5 61.5 52.0 916 757 586 496 167 137 105 88.3 4.50 4.53 4.57 4.58 20 x 4 x 1/2 3/8 5/16 1/4 76.07 58.10 48.86 39.43 0.465 0.349 0.291 0.233 5.6 8.46 10.7 14.2 40.0 54.3 65.7 82.8 20.9 16.0 13.4 10.8 838 657 560 458 83.8 65.7 56.0 45.8 6.33 6.42 6.46 6.50 115 89.3 75.6 61.5 58.7 47.6 41.2 34.3 29.3 23.8 20.6 17.1 1.68 1.73 1.75 1.78 34.0 26.8 22.9 18.7 195 156 134 111 63.8 49.9 42.4 34.7 3.87 3.90 3.92 3.93 18 x 12 x 5/8* 1/2* 3/8* 115.21 95.03 72.59 0.625 0.500 0.375 16.2 21.0 29.0 25.8 33.0 45.0 33.9 27.9 21.3 1450 1240 971 161 138 108 6.55 6.67 6.75 199 168 130 783 668 524 131 111 87.3 4.81 4.89 4.95 152 127 98.6 1740 1430 1100 243 200 153 4.68 4.79 4.84 18 x 6 93.34 76.07 58.10 48.86 39.43 0.581 0.465 0.349 0.291 0.233 7.3 9.9 14.2 17.6 22.8 28.0 35.7 48.6 58.9 74.3 25.7 20.9 16.0 13.4 10.8 923 770 602 513 419 103 85.6 66.9 57.0 46.5 6.00 6.07 6.15 6.18 6.22 135 112 86.4 73.1 59.4 158 134 106 91.3 75.1 52.7 44.6 35.5 30.4 25.0 2.48 2.53 2.58 2.61 2.63 61.0 50.7 39.5 33.5 27.3 462 387 302 257 210 109 89.9 69.5 58.7 47.7 3.83 3.87 3.90 3.92 3.93 x 5/8 1/2 3/8 5/16 1/4 This size produced by the submerged arc weld (SAW) process DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Nominal Size in. in. in. b/t h/t Torsional Stiffness Constant Torsional Shear Constant lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 4.50 4.53 4.57 4.58 3.83 3.87 3.90 3.92 3.93 3.17 3.20 3.23 3.25 3.27 3.28 4.12 4.17 3.83 3.87 3.90 3.92 3.93 3.17 3.20 3.23 3.25 3.27 3.28 2.83 2.87 2.90 2.92 2.93 2.95 Ib. in. Y-Y Axis X-X Axis 110.36 89.68 68.31 57.36 0.581 0.465 0.349 0.291 17.7 22.8 31.4 38.2 24.5 31.4 42.8 52.0 30.3 24.6 18.7 15.7 1090 904 702 595 136 113 87.7 74.4 6.00 6.06 6.12 6.15 165 135 104 87.7 700 581 452 384 117 96.8 75.3 64 4.80 4.86 4.91 4.94 135 111 85.5 72.2 1370 1120 862 727 204 166 127 107 16 x 8 x 5/8 1/2 3/8 5/16 93.34 76.07 58.10 48.86 39.43 0.581 0.465 0.349 0.291 0.233 10.8 14.2 19.9 24.5 31.3 24.5 31.4 42.8 52.0 65.7 25.7 20.9 16.0 13.4 10.8 815 679 531 451 368 102 84.9 66.3 56.4 46.1 5.64 5.70 5.77 5.8 5.83 129 106 82.1 69.4 56.4 274 230 181 155 127 68.5 57.6 45.3 38.7 31.7 3.27 3.32 3.37 3.4 3.42 79.2 65.5 50.8 43.0 35.0 681 563 436 369 300 132 108 83.4 70.4 57.0 16 x 4 x 5/8 1/2 3/8 5/16 1/4 3/16 76.33 62.46 47.90 40.35 32.63 24.73 0.581 0.465 0.349 0.291 0.233 0.174 3.88 5.6 8.46 10.7 14.2 20.0 24.5 31.4 42.8 52.0 65.7 89.0 21.0 17.2 13.2 11.1 8.96 6.76 539 455 360 308 253 193 67.3 56.9 45.0 38.5 31.6 24.2 5.06 5.15 5.23 5.27 5.31 5.35 92.9 77.3 60.2 51.1 41.7 31.7 54.1 47 38.3 33.2 27.7 21.5 27.0 23.5 19.1 16.6 13.8 10.8 1.60 1.65 1.71 1.73 1.76 1.78 32.5 27.4 21.7 18.5 15.2 11.7 174 150 120 103 85.2 65.5 60.5 50.7 39.7 33.8 27.6 21.1 81.42 62.39 0.500 0.375 21.0 29.0 25.0 34.3 23.9 18.3 678 534 96.9 76.3 5.32 5.40 116 90.0 536 422 89.3 70.4 4.73 4.8 104 81.2 990 762 154 118 93.34 76.07 58.10 48.86 39.43 0.581 0.465 0.349 0.291 0.233 14.2 18.5 25.7 31.4 39.9 21.1 27.1 37.1 45.1 57.1 25.7 20.9 16.0 13.4 10.8 687 573 447 380 310 98.2 81.8 63.9 54.3 44.3 5.17 5.23 5.29 5.32 5.35 120 98.8 76.3 64.6 52.4 407 341 267 227 186 81.5 68.1 53.4 45.5 37.2 3.98 4.04 4.09 4.12 4.14 95.1 78.5 60.7 51.4 41.8 832 685 528 446 362 146 120 91.8 77.4 62.6 76.33 62.46 47.90 40.35 32.63 24.73 0.581 0.465 0.349 0.291 0.233 0.174 7.3 9.9 14.2 17.6 22.8 31.5 21.1 27.1 37.1 45.1 57.1 77.5 21.0 17.2 13.2 11.1 8.96 6.76 478 402 317 271 222 170 68.3 57.4 45.3 38.7 31.7 24.3 4.77 4.84 4.91 4.94 4.98 5.01 88.7 73.6 57.3 48.6 39.6 30.1 124 105 84.1 72.3 59.6 45.9 41.2 35.1 28 24.1 19.9 15.3 2.43 2.48 2.53 2.55 2.58 2.61 48.4 40.4 31.6 26.9 22.0 16.7 334 279 219 186 152 116 83.7 69.3 53.7 45.5 36.9 28.0 67.82 55.66 42.79 36.10 29.23 22.18 0.581 0.465 0.349 0.291 0.233 0.174 3.88 5.60 8.46 10.7 14.2 20.0 21.1 27.1 37.1 45.1 57.1 77.5 18.7 15.3 11.8 9.92 8.03 6.06 373 317 252 216 178 137 53.3 45.3 36.0 30.9 25.4 19.5 4.47 4.55 4.63 4.67 4.71 4.74 73.1 61.0 47.8 40.6 33.2 25.3 47.2 41.2 33.6 29.2 24.4 19 23.6 20.6 16.8 14.6 12.2 9.48 1.59 1.64 1.69 1.72 1.74 1.77 28.5 24.1 19.1 16.4 13.5 10.3 148 127 102 87.7 72.4 55.8 52.6 44.1 34.6 29.5 24.1 18.4 14 x 10 x 5/8 1/2 3/8 5/16 1/4 14 x 6 14 x 4 x 5/8 1/2 3/8 5/16 1/4 3/16 x 5/8 1/2 3/8 5/16 1/4 3/16 Surface Area Per Foot Cross Sectional Area 16 x 12 x 5/8 1/2 3/8 5/16 14 x 12 x 1/2* 3/8* 4 Weight Wall per Thickness Foot t This size produced by the submerged arc weld (SAW) process DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Nominal Size in. in. in. 5 Weight Wall per Thickness Foot t b/t h/t Ib. in. Torsional Stiffness Constant Torsional Shear Constant Zx J C in. in.3 in.4 in.3 ft.2 Cross Sectional Area lx Sx rx Zx lx Sx rx in.2 in.4 in.3 in. in.3 in.4 in.3 Y-Y Axis X-X Axis Surface Area Per Foot 12 x 10 x 1/2 3/8 5/16 1/4 69.27 53.00 44.60 36.03 0.465 0.349 0.291 0.233 18.5 25.7 31.4 39.9 22.8 31.4 38.2 48.5 19.0 14.6 12.2 9.90 395 310 264 216 65.9 51.6 44.0 36.0 4.56 4.61 4.64 4.67 78.8 61.1 51.7 42.1 298 234 200 164 59.7 46.9 40.0 32.7 3.96 4.01 4.04 4.07 69.6 54.0 45.7 37.2 545 421 356 289 102 78.3 66.1 53.5 3.53 3.57 3.58 3.60 12 x 8 x 5/8 1/2 3/8 5/16 1/4 3/16 76.33 62.46 47.90 40.35 32.63 24.73 0.581 0.465 0.349 0.291 0.233 0.174 10.8 14.2 19.9 24.5 31.3 43.0 17.7 22.8 31.4 38.2 48.5 66.0 21.0 17.2 13.2 11.1 8.96 6.76 397 333 262 224 184 140 66.1 55.6 43.7 37.4 30.6 23.4 4.34 4.41 4.47 4.50 4.53 4.56 82.1 68.1 53.0 44.9 36.6 27.8 210 178 140 120 98.8 75.7 52.5 44.4 35.1 30.1 24.7 18.9 3.16 3.21 3.27 3.29 3.32 3.35 61.9 51.5 40.1 34.1 27.8 21.1 454 377 293 248 202 153 97.7 80.4 62.1 52.4 42.5 32.2 3.17 3.20 3.23 3.25 3.27 3.28 12 x 6 x 5/8 1/2 3/8 5/16 1/4 3/16 67.82 55.66 42.79 36.10 29.23 22.18 0.581 0.465 0.349 0.291 0.233 0.174 7.3 9.9 14.2 17.6 22.8 31.5 17.7 22.8 31.4 38.2 48.5 66.0 18.7 15.3 11.8 9.92 8.03 6.06 321 271 215 184 151 116 53.4 45.2 35.9 30.7 25.2 19.4 4.14 4.21 4.28 4.31 4.34 4.38 68.8 57.4 44.8 38.1 31.1 23.7 106 91.1 72.9 62.8 51.9 40.0 35.5 30.4 24.3 20.9 17.3 13.3 2.39 2.44 2.49 2.52 2.54 2.57 42.1 35.2 27.7 23.6 19.3 14.7 271 227 178 152 124 94.6 71.1 59.0 45.8 38.8 31.6 24.0 2.83 2.87 2.90 2.92 2.93 2.95 12 x 4 x 5/8 1/2 3/8 5/16 1/4 3/16 59.32 48.85 37.69 31.84 25.82 19.63 0.581 0.465 0.349 0.291 0.233 0.174 3.88 5.60 8.46 10.7 14.2 20.0 17.7 22.8 31.4 38.2 48.5 66.0 16.4 13.5 10.4 8.76 7.10 5.37 245 210 168 144 119 91.8 40.8 34.9 28.0 24.1 19.9 15.3 3.87 3.95 4.02 4.06 4.10 4.13 55.5 46.7 36.7 31.3 25.6 19.6 40.4 35.3 28.9 25.2 21.0 16.4 20.2 17.7 14.5 12.6 10.5 8.20 1.57 1.62 1.67 1.70 1.72 1.75 24.5 20.9 16.6 14.2 11.7 9.00 122 105 84.1 72.4 59.8 46.1 44.6 37.5 29.5 25.2 20.6 15.7 2.50 2.53 2.57 2.58 2.60 2.62 12 x 3 1/2 x 3/8 5/16 36.41 30.78 0.349 0.291 7.03 9.03 31.4 38.2 10.0 8.46 156 134 26.0 22.4 3.94 3.98 34.7 29.6 21.3 18.6 12.2 10.6 1.46 1.48 14.0 12.1 64.7 56.0 25.5 21.8 2.48 2.50 12 x 3 x 5/16 1/4 3/16 29.72 24.12 18.35 0.291 0.233 0.174 7.31 9.88 14.2 38.2 48.5 66.0 8.17 6.63 5.02 124 103 79.6 20.7 17.2 13.3 3.90 3.94 3.98 27.9 22.9 17.5 13.1 11.1 8.72 8.73 7.38 5.81 1.27 1.29 1.32 10.0 8.28 6.40 41.3 34.5 26.8 18.4 15.1 11.6 2.42 2.43 2.45 12 x 2 x 5/16 1/4 3/16 27.59 22.42 17.08 0.291 0.233 0.174 3.87 5.6 8.5 38.2 48.5 66.0 7.59 6.17 4.67 104 86.9 67.4 17.4 14.5 11.2 3.71 3.75 3.80 24.5 20.1 15.5 5.10 4.40 3.55 5.10 4.40 3.55 0.820 6.05 0.845 5.08 0.872 3.97 17.6 15.1 12.0 11.6 9.64 7.49 2.25 2.27 2.28 Nominal Size x 8 x 5/8 10 1/2 3/8 5/16 1/4 3/16 6 Weight Wall per Thickness Foot t b/t h/t 0.581 67.82 10.8 0.465 14.2 55.66 0.349 42.79 19.9 0.291 24.5 36.10 0.233 31.3 29.23 0.174 22.18 43.0 14.2 18.5 25.7 31.4 39.9 54.5 Cross Sectional Area Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot lx X-X Axis Sx rx Zx lx Y-Y Axis Sx rx Zx J C in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 15.3 11.8 9.92 8.03 6.06 253 214 169 145 119 91.4 50.5 42.7 33.9 29.0 23.8 18.3 3.68 3.73 3.79 3.82 3.85 3.88 62.2 51.9 40.5 34.4 28.1 21.4 178 151 120 103 84.7 65.1 44.5 37.8 30.0 25.7 21.2 16.3 3.09 3.14 3.19 3.22 3.25 3.28 53.3 44.5 34.8 29.6 24.2 18.4 346 288 224 190 155 118 80.4 66.4 51.4 43.5 35.3 26.7 2.83 2.87 2.90 2.92 2.93 2.95 18.7 10 x 6 x 5/8 1/2 3/8 5/16 1/4 3/16 59.32 48.85 37.69 31.84 25.82 19.63 0.581 0.465 0.349 0.291 0.233 0.174 7.3 9.9 14.2 17.6 22.8 31.5 14.2 18.5 25.7 31.4 39.9 54.5 16.4 13.5 10.4 8.76 7.10 5.37 201 171 137 118 96.9 74.6 40.2 34.3 27.3 23.5 19.4 14.9 3.50 3.57 3.63 3.66 3.69 3.73 51.3 43.0 33.8 28.8 23.6 18.0 89.4 76.8 61.8 53.3 44.1 34.1 29.8 25.6 20.6 17.8 14.7 11.4 2.34 2.39 2.44 2.47 2.49 2.52 35.8 30.1 23.7 20.2 16.6 12.7 209 176 139 118 96.7 73.8 58.6 48.7 37.9 32.2 26.2 19.9 2.50 2.53 2.57 2.58 2.60 2.62 10 x 5 x 3/8 5/16 1/4 3/16 35.13 29.72 24.12 18.35 0.349 0.291 0.233 0.174 11.3 14.2 18.5 25.7 25.7 31.4 39.9 54.5 9.67 8.17 6.63 5.02 120 104 85.8 66.2 24.1 20.8 17.2 13.2 3.53 3.56 3.60 3.63 30.4 26.0 21.3 16.3 40.6 35.2 29.3 22.7 16.2 14.1 11.7 9.09 2.05 2.07 2.10 2.13 18.7 16.0 13.2 10.1 100 86.0 70.7 54.1 31.2 26.5 21.6 16.5 2.40 2.42 2.43 2.45 10 x 4 x 5/8 1/2 3/8 5/16 1/4 3/16 1/8 50.81 42.05 32.58 27.59 22.42 17.08 11.56 0.581 0.465 0.349 0.291 0.233 0.174 0.116 3.88 5.60 8.46 10.7 14.2 20.0 31.5 14.2 18.5 25.7 31.4 39.9 54.5 83.2 14.0 11.6 8.97 7.59 6.17 4.67 3.16 149 129 104 90.1 74.7 57.8 39.8 29.9 25.8 20.8 18.0 14.9 11.6 7.97 3.26 3.34 3.41 3.44 3.48 3.52 3.55 40.3 34.1 27.0 23.1 19.0 14.6 10.0 33.5 29.5 24.3 21.2 17.7 13.9 9.65 16.8 14.7 12.1 10.6 8.87 6.93 4.83 1.54 1.59 1.64 1.67 1.70 1.72 1.75 20.6 17.6 14.0 12.1 10.0 7.66 5.26 95.7 82.6 66.5 57.3 47.4 36.5 25.1 36.7 31.0 24.4 20.9 17.1 13.1 8.90 2.17 2.20 2.23 2.25 2.27 2.28 2.30 10 x 3 1/2 x 1/2 3/8 5/16 1/4 3/16 1/8 40.34 31.31 26.53 21.57 16.44 11.13 0.465 0.349 0.291 0.233 0.174 0.116 4.53 7.03 9.03 12.0 17.1 27.2 18.5 25.7 31.4 39.9 54.5 83.2 11.1 8.62 7.30 5.93 4.50 3.04 118 96.1 83.2 69.1 53.6 37.0 23.7 19.2 16.6 13.8 10.7 7.40 3.26 3.34 3.38 3.41 3.45 3.49 31.9 25.3 21.7 17.9 13.7 9.37 21.4 17.8 15.6 13.1 10.3 7.22 12.2 10.2 8.92 7.51 5.89 4.12 1.39 1.44 1.46 1.49 1.51 1.54 14.7 11.8 10.2 8.45 6.52 4.48 63.2 51.5 44.6 37.0 28.6 19.8 26.5 21.1 18.0 14.8 11.4 7.75 2.12 2.15 2.17 2.18 2.20 2.22 10 x 3 x 3/8 5/16 1/4 3/16 1/8 30.03 25.46 20.72 15.80 10.71 0.349 0.291 0.233 0.174 0.116 5.6 7.3 9.8 14.2 22.9 25.7 31.4 39.9 54.5 83.2 8.27 7.01 5.70 4.32 2.93 88.0 76.3 63.6 49.4 34.2 17.6 15.3 12.7 9.87 6.83 3.26 3.30 3.34 3.38 3.42 23.7 20.3 16.7 12.8 8.80 12.4 11.0 9.28 7.33 5.16 8.28 7.30 6.19 4.89 3.44 1.22 1.25 1.28 1.30 1.33 9.73 8.42 6.99 5.41 3.74 37.8 33.0 27.6 21.5 14.9 17.7 15.2 12.5 9.64 6.61 2.07 2.08 2.10 2.12 2.13 10 x 2 x 3/8 5/16 1/4 3/16 1/8 27.48 23.34 19.02 14.53 9.86 0.349 0.291 0.233 0.174 0.116 2.73 3.87 5.58 8.49 14.2 25.7 31.4 39.9 54.5 83.2 7.58 6.43 5.24 3.98 2.70 71.7 62.6 52.5 41.0 28.5 14.3 12.5 10.5 8.19 5.70 3.08 3.12 3.17 3.21 3.25 20.3 17.5 14.4 11.1 7.65 4.70 4.24 3.67 2.97 2.14 4.70 4.24 3.67 2.97 2.14 0.787 0.812 0.838 0.864 0.890 5.76 5.06 4.26 3.34 2.33 15.9 14.2 12.2 9.74 6.90 11.0 9.56 7.99 6.22 4.31 1.90 1.92 1.93 1.95 1.97 Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. 7 in. in. Weight Wall per Thickness Foot t Ib. b/t h/t in. Torsional Stiffness Constant Torsional Shear Constant Cross Sectional Area lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 Y-Y Axis X-X Axis Surface Area Per Foot ft.2 9 x 7 x 5/8 1/2 3/8 5/16 1/4 3/16 59.32 48.85 37.69 31.84 25.82 19.63 0.581 0.465 0.349 0.291 0.233 0.174 9.0 12.1 17.1 21.1 27.0 37.2 12.5 16.4 22.8 27.9 35.6 48.7 16.4 13.5 10.4 8.76 7.10 5.37 174 149 119 102 84.1 64.7 38.7 33.0 26.4 22.6 18.7 14.4 3.26 3.32 3.38 3.41 3.44 3.47 48.3 40.5 31.8 27.1 22.2 16.9 117 100 80.4 69.2 57.2 44.1 33.5 28.7 23.0 19.8 16.3 12.6 2.68 2.73 2.78 2.81 2.84 2.87 40.5 34.0 26.7 22.8 18.7 14.3 235 197 154 131 107 81.7 62.0 51.5 40.0 33.9 27.6 20.09 2.50 2.53 2.57 2.58 2.60 2.62 9 x 5 x 5/8 1/2 3/8 5/16 1/4 3/16 50.81 42.05 32.58 27.59 22.42 17.08 0.581 0.465 0.349 0.291 0.233 0.174 5.61 7.75 11.3 14.2 18.5 25.7 12.5 16.4 22.8 27.9 35.6 48.7 14.0 11.6 8.97 7.59 6.17 4.67 133 115 92.5 79.8 66.1 51.1 29.6 25.5 20.5 17.7 14.7 11.4 3.08 3.14 3.21 3.24 3.27 3.31 38.5 32.5 25.7 22.0 18.1 13.8 52 45.2 36.8 32.0 26.6 20.7 20.8 18.1 14.7 12.8 10.6 8.28 1.92 1.97 2.03 2.05 2.08 2.10 25.3 21.5 17.1 14.6 12.0 9.25 128 109 86.9 74.4 61.2 46.9 42.5 35.6 27.9 23.8 19.4 14.8 2.17 2.20 2.23 2.25 2.27 2.28 9 x 3 x 1/2 3/8 5/16 1/4 3/16 35.24 27.48 23.34 19.02 14.53 0.465 0.349 0.291 0.233 0.174 3.45 5.60 7.31 9.88 14.2 16.4 22.8 27.9 35.6 48.7 9.74 7.58 6.43 5.24 3.98 80.8 66.3 57.7 48.2 37.6 18.0 14.7 12.8 10.7 8.35 2.88 2.96 3.00 3.04 3.07 24.6 19.7 16.9 14.0 10.8 13.2 11.2 9.88 8.38 6.64 8.81 7.45 6.59 5.59 4.42 1.17 1.21 1.24 1.27 1.29 10.8 8.80 7.63 6.35 4.92 40.0 33.1 28.9 24.2 18.9 19.7 15.8 13.6 11.3 8.66 1.87 1.90 1.92 1.93 1.95 Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. 8 in. in. Weight Wall per Thickness Foot t Ib. b/t h/t in. Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot Cross Sectional Area lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 Y-Y Axis X-X Axis 8 x 6 x 5/8 1/2 3/8 5/16 1/4 3/16 50.81 42.05 32.58 27.59 22.42 17.08 0.581 0.465 0.349 0.291 0.233 0.174 7.3 9.9 14.2 17.6 22.8 31.5 7.3 9.9 14.2 17.6 22.8 31.5 14.0 11.6 8.97 7.59 6.17 4.67 114 98.2 79.1 68.3 56.6 43.7 28.5 24.6 19.8 17.1 14.2 10.9 2.85 2.91 2.97 3.00 3.03 3.06 36.1 30.5 24.1 20.6 16.9 13.0 72.3 62.5 50.6 43.8 36.4 28.2 24.1 20.8 16.9 14.6 12.1 9.39 2.27 2.32 2.38 2.40 2.43 2.46 29.5 24.9 19.8 16.9 13.9 10.7 150 127 100 85.8 70.3 53.7 46.0 38.4 30.0 25.5 20.8 15.8 2.17 2.20 2.23 2.25 2.27 2.28 8 x 4 x 5/8 1/2 3/8 5/16 x 1/4 3/16 1/8 42.30 35.24 27.48 23.34 19.02 14.53 9.86 0.581 0.465 0.349 0.291 0.233 0.174 0.116 3.8 5.6 8.46 10.7 14.2 20.0 31.5 3.8 5.6 8.46 10.7 14.2 20.0 31.5 11.7 9.74 7.58 6.43 5.24 3.98 2.70 82.0 71.8 58.7 51.0 42.5 33.1 22.9 20.5 17.9 14.7 12.8 10.6 8.27 5.73 2.64 2.71 2.78 2.82 2.85 2.88 2.92 27.4 23.5 18.8 16.1 13.3 10.2 7.02 26.6 23.6 19.6 17.2 14.4 11.3 7.90 13.3 11.8 9.80 8.58 7.21 5.65 3.95 1.51 1.56 1.61 1.63 1.66 1.69 1.71 16.6 14.3 11.5 9.91 8.20 6.33 4.36 70.3 61.1 49.3 42.6 35.3 27.2 18.7 28.7 24.4 19.3 16.5 13.6 10.4 7.10 1.83 1.87 1.90 1.92 1.93 1.95 1.97 8 x 3 x 1/2 3/8 5/16 1/4 3/16 1/8 31.84 24.93 21.21 17.32 13.25 9.01 0.465 0.349 0.291 0.233 0.174 0.116 3.45 5.60 7.31 9.88 14.2 22.9 3.45 5.60 7.31 9.88 14.2 22.9 8.81 6.88 5.85 4.77 3.63 2.46 58.5 48.5 42.4 35.5 27.8 19.3 14.6 12.1 10.6 8.88 6.94 4.83 2.58 2.65 2.69 2.73 2.77 2.80 20.0 16.1 13.9 11.5 8,87 6.11 11.7 10.0 8.81 7.49 5.94 4.20 7.81 6.63 5.87 4.99 3.96 2.80 1.15 1.20 1.23 1.25 1.28 1.31 9.64 7.88 6.84 5.70 4.43 3.07 34.3 28.5 24.9 20.8 16.2 11.3 17.4 14.0 12.1 10.0 7.68 5.27 1.70 1.73 1.75 1.77 1.78 1.80 8 x 2 x 3/8 5/16 1/4 3/16 1/8 22.37 19.08 15.62 11.97 8.16 0.349 0.291 0.233 0.174 0.116 2.73 3.87 5.58 8.49 14.2 2.73 3.87 5.58 8.49 14.2 6.18 5.26 4.30 3.28 2.23 38.2 33.7 28.5 22.4 15.7 9.56 8.43 7.12 5.61 3.93 2.49 2.53 2.57 2.61 2.65 13.4 11.6 9.68 7.51 5.19 3.73 3.38 2.94 2.39 1.72 3.73 3.38 2.94 2.39 1.72 0.777 0.802 0.827 0.853 0.879 4.61 4.06 3.43 2.70 1.90 12.1 10.9 9.36 7.48 5.30 8.65 7.57 6.35 4.95 3.44 1.57 1.58 1.60 1.62 1.63 Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. 9 in. in. Weight Wall per Thickness Foot t Ib. b/t h/t in. Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot Cross Sectional Area lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 Y-Y Axis X-X Axis 7 x 5 x 1/2 3/8 5/16 1/4 3/16 1/8 35.24 27.48 23.34 19.02 14.53 9.86 0.465 0.349 0.291 0.233 0.174 0.116 7.75 11.3 14.2 18.5 25.7 40.1 12.1 17.1 21.1 27.0 37.2 57.3 9.74 7.58 6.43 5.24 3.98 2.70 60.6 49.5 43.0 35.9 27.9 19.3 17.3 14.1 12.3 10.2 7.96 5.52 2.50 2.56 2.59 2.62 2.65 2.68 21.9 17.5 15.0 12.4 9.52 6.53 35.6 29.3 25.5 21.3 16.6 11.6 14.2 11.7 10.2 8.53 6.65 4.63 1.91 1.97 1.99 2.02 2.05 2.07 17.3 13.8 11.9 9.83 7.57 5.20 27.2 21.4 18.3 15.0 11.4 7.79 27.2 21.4 18.3 15.0 11.4 7.79 1.87 1.90 1.92 1.93 1.95 1.97 7 x 4 x 1/2 3/8 5/16 1/4 3/16 1/8 31.84 24.93 21.21 17.32 13.25 9.01 0.465 0.349 0.291 0.233 0.174 0.116 5.60 8.46 10.7 14.2 20.0 31.5 12.1 17.1 21.1 27.0 37.2 57.3 8.81 6.88 5.85 4.77 3.63 2.46 50.7 41.8 36.5 30.5 23.8 16.6 14.5 11.9 10.4 8.72 6.81 4.73 2.40 2.46 2.50 2.53 2.56 2.59 18.8 15.1 13.1 10.8 8.33 5.73 20.7 17.3 15.2 12.8 10.0 7.03 10.4 8.63 7.58 6.38 5.02 3.51 1.53 1.58 1.61 1.64 1.66 1.69 12.6 10.2 8.83 7.33 5.67 3.91 21.1 16.8 14.4 11.8 9.07 6.20 21.1 16.8 14.4 11.8 9.07 6.20 1.70 1.73 1.75 1.77 1.78 1.80 7 x 3 x 1/2 3/8 5/16 1/4 3/16 1/8 28.43 22.37 19.08 15.62 11.97 8.16 0.465 0.349 0.291 0.233 0.174 0.116 3.45 5.60 7.31 9.88 14.2 22.9 12.1 17.1 21.1 27.0 37.2 57.3 7.88 6.18 5.26 4.30 3.28 2.23 40.7 34.1 29.9 25.2 19.8 13.8 11.6 9.73 8.54 7.19 5.65 3.95 2.27 2.35 2.38 2.42 2.45 2.49 15.8 12.8 11.1 9.22 7.14 4.93 10.2 8.71 7.74 6.60 5.24 3.71 6.80 5.81 5.16 4.40 3.50 2.48 1.14 1.19 1.21 1.24 1.26 1.29 8.46 6.95 6.05 5.06 3.94 2.73 15.0 12.1 10.5 8.68 6.69 4.60 15.0 12.1 10.5 8.68 6.69 4.60 1.53 1.57 1.58 1.60 1.62 1.63 7 x 2 x 1/4 3/16 1/8 13.91 10.7 7.31 0.233 0.174 0.116 5.58 8.49 14.2 27.0 37.2 57.3 3.84 2.93 2.00 19.8 15.7 11.1 5.67 4.49 3.16 2.27 2.31 2.35 7.64 5.95 4.13 2.58 2.10 1.52 2.58 2.10 1.52 0.819 3.02 0.845 2.39 0.871 1.68 5.52 4.32 3.00 5.52 4.32 3.00 1.43 1.45 1.47 Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. 10 in. in. Weight Wall per Thickness Foot t Ib. b/t h/t in. Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot Cross Sectional Area lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 Y-Y Axis X-X Axis 6 x 5 x 1/2 3/8 5/16 1/4 3/16 1/8 31.84 24.93 21.21 17.32 13.25 9.01 0.465 0.349 0.291 0.233 0.174 0.116 7.75 11.3 14.2 18.5 25.7 40.1 9.90 14.2 17.6 22.8 31.5 48.7 8.81 6.88 5.85 4.77 3.63 2.46 41.1 33.9 29.6 24.7 19.3 13.4 13.7 11.3 9.85 8.25 6.44 4.48 2.16 2.22 2.25 2.28 2.31 2.34 17.2 13.8 11.9 9.87 7.62 5.24 30.8 25.5 22.3 18.7 14.6 10.2 12.3 10.2 8.91 7.47 5.84 4.07 1.87 1.92 1.95 1.98 2.01 2.03 15.2 12.2 10.5 8.72 6.73 4.63 59.8 48.1 41.4 34.2 26.3 18.0 23.0 18.2 15.6 12.8 9.76 6.66 1.70 1.73 1.75 1.77 1.78 1.80 6 x 4 x 1/2 3/8 5/16 1/4 3/16 1/8 28.43 22.37 19.08 15.62 11.97 8.16 0.465 0.349 0.291 0.233 0.174 0.116 5.6 8.4 10.7 14.2 20.0 31.5 9.9 14.2 17.6 22.8 31.5 48.7 7.88 6.18 5.26 4.30 3.28 2.23 34.0 28.3 24.8 20.9 16.4 11.4 11.3 9.43 8.27 6.96 5.46 3.81 2.08 2.14 2.17 2.20 2.23 2.26 14.6 11.9 10.3 8.53 6.60 4.56 17.8 14.9 13.2 11.1 8.76 6.15 8.89 7.47 6.58 5.56 4.38 3.08 1.50 1.55 1.58 1.61 1.63 1.66 11.0 8.94 7.75 6.45 5.00 3.46 40.3 32.8 28.4 23.6 18.2 12.6 17.8 14.2 12.2 10.1 7.74 5.30 1.53 1.57 1.58 1.60 1.62 1.63 6 x 3 x 1/2 3/8 5/16 1/4 3/16 1/8 25.03 19.82 16.96 13.91 10.70 7.31 0.465 0.349 0.291 0.233 0.174 0.116 3.45 5.60 7.31 9.88 14.2 22.9 9.9 14.2 17.6 22.8 31.5 48.7 6.95 5.48 4.68 3.84 2.93 2.00 26.8 22.7 20.1 17.0 13.4 9.43 8.95 7.57 6.69 5.66 4.47 3.14 1.97 2.04 2.07 2.10 2.14 2.17 12.1 9.90 8.61 7.19 5.59 3.87 8.69 7.48 6.67 5.70 4.55 3.23 5.79 4.99 4.45 3.80 3.03 2.15 1.12 1.17 1.19 1.22 1.25 1.27 7.28 6.03 5.27 4.41 3.45 2.40 23.1 19.3 16.9 14.2 11.1 7.73 12.7 10.3 8.91 7.39 5.71 3.93 1.37 1.40 1.42 1.43 1.45 1.47 6 x 2 x 3/8 5/16 1/4 3/16 1/8 17.27 14.83 12.21 9.42 6.46 0.349 0.291 0.233 0.174 0.116 2.73 3.87 5.58 8.49 14.2 14.2 17.6 22.8 31.5 48.7 4.78 4.10 3.37 2.58 1.77 17.1 15.3 13.1 10.5 7.42 5.71 5.11 4.37 3.49 2.47 1.89 1.93 1.97 2.01 2.05 7.93 6.95 5.84 4.58 3.19 2.77 2.52 2.21 1.80 1.31 2.77 2.52 2.21 1.80 1.31 0.760 0.785 0.810 0.836 0.861 3.46 3.07 2.61 2.07 1.46 8.42 7.60 6.55 5.24 3.72 6.35 5.58 4.70 3.68 2.57 1.23 1.25 1.27 1.28 1.30 Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. 11 in. in. Weight Wall per Thickness Foot t Ib. b/t h/t in. Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot Cross Sectional Area lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 Y-Y Axis X-X Axis 5 x 4 x 1/2 3/8 5/16 1/4 3/16 1/8 25.03 19.82 16.96 13.91 10.70 7.31 0.465 0.349 0.291 0.233 0.174 0.116 5.60 8.46 10.7 14.2 20.0 31.5 7.75 11.3 14.2 18.5 25.7 40.1 6.95 5.48 4.68 3.84 2.93 2.00 21.2 17.9 15.8 13.4 10.6 7.42 8.49 7.17 6.32 5.35 4.22 2.97 1.75 1.81 1.84 1.87 1.90 1.93 10.9 8.96 7.79 6.49 5.05 3.50 14.9 12.6 11.1 9.46 7.48 5.27 7.43 6.30 5.57 4.73 3.74 2.64 1.46 1.52 1.54 1.57 1.60 1.62 9.35 7.67 6.67 5.57 4.34 3.01 30.3 24.9 21.7 18.0 14.0 9.66 14.5 11.7 10.1 8.32 6.41 4.39 1.37 1.40 1.42 1.43 1.45 1.47 5 x 3 x 1/2 3/8 5/16 1/4 3/16 1/8 21.63 17.27 14.83 12.21 9.42 6.46 0.465 0.349 0.291 0.233 0.174 0.116 3.45 5.60 7.31 9.88 14.2 22.9 7.75 11.3 14.2 18.5 25.7 40.1 6.02 4.78 4.10 3.37 2.58 1.77 16.4 14.1 12.6 10.7 8.53 6.03 6.57 5.65 5.03 4.29 3.41 2.41 1.65 1.72 1.75 1.78 1.82 1.85 8.83 7.34 6.42 5.38 4.21 2.93 7.18 6.25 5.60 4.81 3.85 2.75 4.78 4.16 3.73 3.21 2.57 1.83 1.09 1.14 1.17 1.19 1.22 1.25 6.10 5.10 4.48 3.77 2.96 2.07 17.6 14.9 13.1 11.0 8.64 6.02 10.3 8.44 7.33 6.10 4.73 3.26 1.20 1.23 1.25 1.27 1.28 1.30 5 x 2 1/2 x 1/4 3/16 1/8 11.36 8.78 6.03 0.233 0.174 0.116 7.7 11.4 18.6 18.5 25.7 40.1 3.14 2.41 1.65 9.40 7.51 5.34 3.76 3.01 2.14 1.73 1.77 1.80 4.83 3.79 2.65 3.13 2.53 1.82 2.50 2.03 1.46 0.999 2.95 1.02 2.33 1.05 1.64 7.93 6.26 4.40 4.99 3.89 2.70 1.18 1.20 1.22 5 x 2 x 3/8 5/16 1/4 3/16 1/8 14.72 12.70 10.51 8.15 5.61 0.349 0.291 0.233 0.174 0.116 2.73 3.87 5.58 8.49 14.2 11.3 14.2 18.5 25.7 40.1 4.09 3.52 2.91 2.24 1.54 10.4 9.35 8.08 6.50 4.65 4.14 3.74 3.23 2.60 1.86 1.59 1.63 1.67 1.70 1.74 5.71 5.05 4.27 3.37 2.37 2.28 2.10 1.84 1.51 1.10 2.28 2.10 1.84 1.51 1.10 0.748 0.772 0.797 0.823 0.848 2.88 2.57 2.20 1.75 1.24 6.61 5.99 5.17 4.15 2.95 5.20 4.59 3.88 3.05 2.13 1.07 1.08 1.10 1.12 1.13 Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. 12 in. in. Weight Wall per Thickness Foot t Ib. b/t h/t in. Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot Cross Sectional Area lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 Y-Y Axis X-X Axis 4 x 3 x 3/8 5/16 1/4 3/16 1/8 14.72 12.70 10.51 8.15 5.61 0.349 0.291 0.233 0.174 0.116 5.60 7.31 9.88 14.2 22.9 8.46 10.7 14.2 20.0 31.5 4.09 3.52 2.91 2.24 1.54 7.93 7.14 6.15 4.93 3.52 3.97 3.57 3.07 2.47 1.76 1.39 1.42 1.45 1.49 1.52 5.12 4.51 3.81 3.00 2.11 5.01 4.52 3.91 3.16 2.27 3.34 3.02 2.61 2.10 1.51 1.11 1.13 1.16 1.19 1.21 4.18 3.69 3.12 2.46 1.73 10.6 9.41 7.96 6.26 4.38 6.59 5.75 4.81 3.74 2.59 1.07 1.08 1.10 1.12 1.13 4 x 2 1/2 x 3/8 5/16 1/4 3/16 1/8 13.44 11.64 9.66 7.51 5.18 0.349 0.291 0.233 0.174 0.116 4.16 5.59 7.73 11.4 18.6 8.46 10.7 14.2 20.0 31.5 3.74 3.23 2.67 2.06 1.42 6.77 6.13 5.32 4.30 3.09 3.38 3.07 2.66 2.15 1.54 1.35 1.38 1.41 1.44 1.47 4.48 3.97 3.38 2.67 1.88 3.17 2.89 2.53 2.06 1.49 2.54 2.32 2.02 1.65 1.19 0.922 0.947 0.973 0.999 1.030 3.20 2.85 2.43 1.93 1.36 7.57 6.77 5.78 4.59 3.23 5.32 4.67 3.93 3.08 2.14 0.98 1.00 1.02 1.03 1.05 4 x 2 x 3/8 5/16 1/4 3/16 1/8 12.17 10.58 8.81 6.87 4.75 0.349 0.291 0.233 0.174 0.116 2.73 3.87 5.58 8.49 14.2 8.46 10.7 14.2 20.0 31.5 3.39 2.94 2.44 1.89 1.30 5.60 5.13 4.49 3.66 2.65 2.80 2.56 2.25 1.83 1.32 1.29 1.32 1.36 1.39 1.43 3.84 3.43 2.94 2.34 1.66 1.80 1.67 1.48 1.22 0.898 1.80 1.67 1.48 1.22 0.898 0.729 0.754 0.779 0.804 0.830 2.31 2.08 1.79 1.43 1.02 4.83 4.40 3.82 3.08 2.20 4.04 3.59 3.05 2.41 1.69 0.90 0.92 0.93 0.95 0.97 Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. in. in. 31/2 x 2 1/2 x 3/8 5/16 1/4 3/16 1/8 b/t h/t Ib. in. Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot Cross Sectional Area lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 0.904 0.930 0.956 0.983 1.01 Y-Y Axis X-X Axis 12.17 10.58 8.81 6.87 4.75 0.349 0.291 0.233 0.174 0.116 4.16 5.59 7.73 11.4 18.6 7.03 9.03 12.0 17.1 27.2 3.39 2.94 2.44 1.89 1.30 4.75 4.34 3.79 3.09 2.23 2.72 2.48 2.17 1.76 1.28 1.18 1.22 1.25 1.28 1.31 3.59 3.20 2.74 2.18 1.54 2.77 2.54 2.23 1.82 1.33 2.21 2.03 1.78 1.46 1.06 2.82 2.52 2.16 1.72 1.22 6.16 5.53 4.75 3.78 2.67 4.57 4.03 3.40 2.67 1.87 0.90 0.92 0.93 0.95 0.97 x 1/4 3/16 1/8 7.96 6.23 4.33 0.233 0.174 0.116 7.73 11.4 18.6 9.88 14.2 22.9 2.21 1.71 1.19 2.57 2.11 1.54 1.72 1.41 1.03 1.08 1.11 1.14 2.16 1.73 1.23 1.93 1.59 1.16 1.54 0.935 1.90 1.27 0.963 1.52 0.931 0.990 1.09 3.74 3.00 2.13 2.87 2.27 1.59 0.85 0.87 0.88 31/2 x 1 1/2 x 1/4 3/16 1/8 7.11 5.59 3.90 0.233 0.174 0.116 3.44 5.62 9.93 12.0 17.1 27.2 1.97 1.54 1.07 2.55 2.12 1.57 1.46 1.14 1.21 1.17 0.896 1.21 1.98 1.60 1.15 0.638 0.544 0.411 0.851 0.569 1.06 0.725 0.594 0.867 0.548 0.619 0.630 1.79 1.49 1.09 1.88 1.51 1.08 0.77 0.78 0.80 3 x 2 1/2 x 5/16 1/4 3/16 1/8 9.51 7.96 6.23 4.33 0.291 0.233 0.174 0.116 5.59 7.73 11.4 18.6 7.31 9.88 14.2 22.9 2.64 2.21 1.71 1.19 2.92 2.57 2.11 1.54 1.94 1.72 1.41 1.03 1.05 1.08 1.11 1.14 2.51 2.16 1.73 1.23 2.18 1.93 1.59 1.16 1.74 1.54 1.27 0.931 0.908 0.935 0.963 0.990 2.20 1.90 1.52 1.09 4.34 3.74 3.00 2.13 3.39 2.87 2.27 1.59 0.83 0.85 0.87 0.88 3 x 2 x 5/16 1/4 3/16 1/8 8.45 7.11 5.59 3.90 0.291 0.233 0.174 0.116 3.87 5.58 8.49 14.2 7.31 9.88 14.2 22.9 2.35 1.97 1.54 1.07 2.38 2.13 1.77 1.30 1.59 1.42 1.18 0.867 1.01 1.04 1.07 1.10 2.11 1.83 1.48 1.06 1.24 1.11 0.932 0.692 1.24 1.11 0.932 0.692 0.725 0.751 0.778 0.804 1.58 1.38 1.12 0.803 2.87 2.52 2.05 1.47 2.60 2.23 1.78 1.25 0.75 0.77 0.78 0.80 3 x 1 1/2 x 1/4 3/16 1/8 6.26 4.96 3.48 0.233 0.174 0.116 3.44 5.62 9.93 9.88 14.2 22.9 1.74 1.37 0.96 1.68 1.42 1.06 1.12 0.982 0.945 1.02 0.706 1.05 1.51 1.24 0.895 0.543 0.467 0.355 0.725 0.559 0.911 0.622 0.584 0.752 0.474 0.610 0.550 1.44 1.21 0.886 1.58 1.28 0.920 0.68 0.70 0.72 31/2 x 2 13 Weight Wall per Thickness Foot t Y X X DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS Y Nominal Size in. in. Ib. b/t h/t in. Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot Cross Sectional Area lx Sx rx Zx lx Sx rx Zx J C in.2 in.4 in.3 in. in.3 in.4 in.3 in. in.3 in.4 in.3 ft.2 Y-Y Axis X-X Axis x 3/16 1/8 4.32 3.05 0.174 0.116 2.75 5.62 14.2 22.9 1.19 0.84 1.07 0.817 0.713 0.947 0.545 0.987 0.989 0.728 0.173 0.138 0.345 0.380 0.432 0.276 0.405 0.325 0.526 0.408 0.792 0.585 0.62 0.63 x 3/16 1/8 1/4 6.26 4.96 3.48 0.233 0.174 0.116 5.58 8.49 14.2 7.73 11.4 18.6 1.74 1.37 0.956 1.33 1.12 0.833 1.06 0.874 0.894 0.904 0.667 0.934 1.37 1.12 0.809 0.930 0.786 0.589 0.930 0.731 1.17 0.786 0.758 0.956 0.589 0.785 0.694 1.90 1.55 1.12 1.82 1.46 1.04 0.68 0.70 0.72 2 1/2 x 11/2 x 1/4 3/16 1/8 5.41 4.32 3.05 0.233 0.174 0.116 3.44 5.62 9.93 7.73 11.4 18.6 1.51 1.19 0.84 1.03 0.882 0.668 0.822 0.826 0.705 0.860 0.535 0.892 1.11 0.915 0.671 0.449 0.390 0.300 0.599 0.546 0.764 0.520 0.572 0.636 0.399 0.597 0.469 1.10 0.929 0.687 1.29 1.05 0.759 0.60 0.62 0.63 2 1/2 x 1 x 3/16 1/8 3.68 2.63 0.174 0.116 2.75 5.62 11.4 18.6 1.02 0.724 0.646 0.503 0.517 0.796 0.403 0.834 0.713 0.532 0.143 0.115 0.285 0.374 0.360 0.230 0.399 0.274 0.412 0.322 0.648 0.483 0.53 0.55 x 3/16 1/8 4.64 3.27 0.174 0.116 8.49 14.2 9.93 16.4 1.28 0.898 0.859 0.646 0.764 0.819 0.574 0.848 0.952 0.693 0.713 0.538 0.713 0.747 0.877 0.538 0.774 0.639 1.32 0.957 1.30 0.927 0.66 0.68 2 x 11/2 x 3/16 1/8 3.68 2.63 0.174 0.116 5.62 9.93 8.49 14.2 1.02 0.72 0.495 0.383 0.495 0.697 0.383 0.728 0.639 0.475 0.313 0.244 0.417 0.554 0.521 0.325 0.581 0.389 0.664 0.496 0.822 0.599 0.53 0.55 2 x 1 x 3/16 1/8 3.04 2.20 0.174 0.116 2.75 5.62 8.49 14.2 0.845 0.608 0.350 0.280 0.350 0.643 0.280 0.679 0.480 0.366 0.112 0.225 0.365 0.288 0.0922 0.184 0.390 0.223 0.301 0.238 0.505 0.380 0.45 0.47 3 x 1 2 1/2 x 2 2 1/4 x 2 14 in. Weight Wall per Thickness Foot t Y DIMENSIONS AND SECTION PROPERTIES ROPERTIES OF SQUARE HSS X Nominal Size in. 15 in. in. Weight Wall per Thickness Foot t Ib. b/t h/t Torsional Stiffness Constant Torsional Shear Constant Zx J C in. in.3 in.4 in.3 Cross Sectional Area lx Sx rx in.2 in.4 in.3 in. Surface Area Per Foot ft.2 32 x 32 x 5/8* 1/2* 3/8* 259.83 210.72 159.37 0.625 0.500 0.375 48.2 61.0 82.3 48.2 61.0 82.3 76.4 61.9 46.8 12300 771 10100 634 7750 485 12.7 12.8 12.9 890 727 553 19700 15900 12000 37 1230 991 750 10.34 10.45 10.51 30 x 30 x 5/8* 1/2* 3/8* 242.82 197.11 149.16 0.625 0.500 0.375 45.0 57.0 77.0 45.0 57.0 77.0 71.4 57.9 43,8 10100 673 8320 555 6370 424 11.9 12.0 12.1 778 637 485 16200 13000 9870 1070 869 658 9.68 9.79 9.84 28 x 28 x 5/8* 1/2* 3/8* 225.80 183.50 138.95 0.625 0.500 0.375 41.8 53.0 71.7 41.8 53.0 71.7 66.4 53.9 40.8 8140 6730 5150 582 480 368 11.1 11.2 11.2 674 552 421 13100 10600 8010 933 755 572 9.01 9.12 9.17 26 x 26 x 5/8* 1/2* 3/8* 208.79 169.89 128.74 0.625 0.500 0.375 38.6 49.0 66.3 38.6 49.0 66.3 61.4 49.9 37.8 6460 5350 4110 497 411 316 10.3 10.4 10.4 577 474 362 10500 8430 6400 801 649 492 8.34 8.45 8.51 24 x 24 x 5/8* 1/2* 3/8* 191.78 156.28 118.53 0.625 0.500 0.375 35.4 45.0 61.0 35.4 45.0 61.0 56.4 45.9 34.8 5030 4170 3210 419 348 268 9.44 9.53 9.60 487 401 307 8180 6610 5020 679 551 418 7.68 7.79 7.84 22 x 22 x 5/8* 1/2* 3/8* 174.76 142.67 108.32 0.625 0.500 0.375 32.2 41.0 55.7 32.2 41.0 55.7 51.4 45.9 31.8 3820 3190 2460 347 290 223 8.62 8.72 8.78 406 335 256 6260 5070 3850 567 461 350 7.01 7.12 7.17 20 x 20 x 5/8* 1/2* 3/8* 157.75 129.06 98.12 0.625 0.500 0.375 29.0 37.0 50.3 29.0 37.0 50.3 46.4 37.9 28.8 2830 2370 1830 283 237 183 6.99 7.90 7.97 264 275 211 4670 3790 2880 465 379 288 6.34 6.45 6.51 18 x 18 x 5/8* 1/2* 3/8* 140.73 115.45 87.91 0.625 0.500 0.375 25.8 33.0 45.0 25.8 33.0 45.0 41.4 33.9 25.8 2020 1700 1320 224 189 147 6.99 7.08 7.15 264 220 169 3370 2740 2090 373 305 232 5.68 5.79 5.84 16 x 16 x 5/8 1/2 3/8 5/16 127.37 103.30 78.52 65.87 0.581 0.465 0.349 0.291 24.5 31.4 42.8 52.0 24.5 31.4 42.8 52.0 35.0 28.3 21.5 18.1 1370 1130 873 739 171 141 109 92.3 6.25 6.31 6.37 63.9 200 164 126 106 2170 1770 1350 1140 276 224 171 144 5.17 5.20 5.23 5.25 This size produced by the submerged arc weld (SAW) process X Y DIMENSIONS AND SECTION PROPERTIES OF SQUARE HSS Nominal Size in. 16 in. in. Weight Wall per Thickness Foot t Ib. b/t h/t in. Y Torsional Stiffness Constant Torsional Shear Constant J C in.3 in.4 in.3 ft.2 Cross Sectional Area lx Sx rx Zx in.2 in.4 in.3 in. Surface Area Per Foot X X Y 14 x 14 x 5/8 1/2 3/8 5/16 110.36 89.68 68.31 57.36 0.581 0.465 0.349 0.291 21.1 27.1 37.1 45.1 21.1 27.1 37.1 45.1 30.3 24.6 18.7 15.7 897 743 577 490 128 106 82.5 69.9 5.44 5.49 5.55 5.58 151 124 95.4 80.5 1430 1170 900 759 208 170 130 109 4.50 4.53 4.57 4.58 12 x 12 x 5/8 1/2 3/8 5/16 1/4 3/16 93.34 76.07 58.10 48.86 39.43 29.84 0.581 0.465 0.349 0.291 0.233 0.174 17.7 22.8 31.4 38.2 48.5 66.0 17.7 22.8 31.4 38.2 48.5 66.0 25.7 20.9 16.0 13.4 10.8 8.15 548 457 357 304 248 189 91.4 76.2 59.5 50.7 41.4 31.5 4.62 4.68 4.73 4.76 4.79 4.82 109 89.6 69.2 58.6 47.6 36.0 885 728 561 474 384 290 151 123 94.6 79.7 64.5 48.6 3.83 3.87 3.90 3.92 3.93 3.95 10 x 10 x 5/8 1/2 3/8 5/16 1/4 3/16 76.33 62.46 47.90 40.35 32.63 24.73 0.581 0.465 0.349 0.291 0.233 0.174 14.2 18.5 25.7 31.4 39.9 54.5 14.2 18.5 25.7 31.4 39.9 54.5 21.0 17.2 13.2 11.1 8.96 6.76 304 256 202 172 141 108 60.8 51.2 40.4 34.5 28.3 21.6 3.80 3.86 3.92 3.94 3.97 4.00 73.2 60.7 47.2 40.1 32.7 24.8 498 412 320 271 220 167 102 84.2 64.8 54.8 44.4 33.6 3.17 3.20 3.23 3.25 3.27 3.28 9 x 9 x 5/8 1/2 3/8 5/16 1/4 3/16 1/8 67.82 55.66 42.79 36.10 29.23 22.18 14.96 0.581 0.465 0.349 0.291 0.233 0.174 0.116 12.5 16.4 22.8 27.9 35.6 48.7 74.6 12.5 16.4 22.8 27.9 35.6 48.7 74.6 18.7 15.3 11.8 9.92 8.03 6.06 4.09 216 183 145 124 102 78.2 53.5 47.9 40.6 32.2 27.6 22.7 17.4 11.9 3.40 3.45 3.51 3.54 3.56 3.59 3.62 58.1 48.4 37.8 32.1 26.2 20.0 13.6 356 296 231 196 159 121 82.0 81.6 67.4 52.1 44.0 35.8 27.1 18.3 2.80 2.87 2.90 2.92 2.93 2.95 2.97 8 x 8 x 5/8 1/2 3/8 5/16 1/4 3/16 1/8 59.32 48.85 37.69 31.84 25.82 19.63 13.26 0.581 0.465 0.349 0.291 0.233 0.174 0.116 10.8 14.2 19.9 24.5 31.3 43.0 66.0 10.8 14.2 19.9 24.5 31.3 43.0 66.0 16.4 13.5 10.4 8.76 7.10 5.37 3.62 146 125 100 85.6 70.7 54.4 37.4 36.5 31.2 24.9 21.4 17.7 13.6 9.34 2.99 3.04 3.10 3.13 3.15 3.18 3.21 44.7 37.5 29.4 25.1 20.5 15.7 10.7 244 204 160 136 111 84.5 57.3 63.2 52.4 40.7 34.5 28.1 21.3 14.4 2.50 2.53 2.57 2.58 2.60 2.62 2.63 7 x 7 x 5/8 1/2 3/8 5/16 1/4 3/16 1/8 50.81 42.05 32.58 27.59 22.42 17.08 11.56 0.581 0.465 0.349 0.291 0.233 0.174 0.116 9.05 12.1 17.1 21.1 27.0 37.2 57.3 9.05 12.1 17.1 21.1 27.0 37.2 57.3 14.0 11.6 8.97 7.59 6.17 4.67 3.16 93.4 80.5 65.0 56.1 46.5 36.0 24.8 26.7 23.0 18.6 16.0 13.3 10.3 7.09 2.58 2.63 2.69 2.72 2.75 2.77 2.80 33.1 27.9 22.1 18.9 15.5 11.9 8.13 158 133 105 89.7 73.5 56.1 38.2 47.1 39.3 30.7 26.1 21.3 16.2 11.0 2.17 2.20 2.23 2.25 2.27 2.28 2.30 Y DIMENSIONS AND SECTION PROPERTIES OF SQUARE HSS Nominal Size in. in. Ib. b/t h/t in. Torsional Stiffness Constant Torsional Shear Constant J C in.3 in.4 in.3 ft.2 Cross Sectional Area lx Sx rx Zx in.2 in.4 in.3 in. Surface Area Per Foot x 5/8 1/2 3/8 5/16 1/4 3/16 1/8 42.30 35.24 27.48 23/34 19.02 14.53 9.86 0.581 0.465 0.349 0.291 0.233 0.174 0.116 7.3 9.9 14.2 17.6 22.8 31.5 48.7 7.3 9.9 14.2 17.6 22.8 31.5 48.7 11.7 9.74 7.58 6.43 5.24 3.98 2.70 55.2 48.3 39.5 34.3 28.6 22.3 15.5 18.4 16.1 13.2 11.4 9.54 7.42 5.15 2.17 2.23 2.28 2.31 2.34 2.37 2.39 23.2 19.8 15.8 13.6 11.2 8.63 5.92 94.9 81.1 64.6 55.4 45.6 35.0 23.9 33.4 28.1 22.1 18.9 15.4 11.8 8.03 1.83 1.87 1.90 1.92 1.93 1.95 1.97 5 1/2 x 5 1/2 x 3/8 5/16 1/4 3/16 1/8 24.93 21.21 17.32 13.25 9.01 0.349 0.291 0.233 0.174 0.116 12.8 15.9 20.6 28.6 44.4 12.8 15.9 20.6 28.6 44.4 6.88 5.85 4.77 3.63 2.46 29.7 25.9 21.7 17.0 11.8 10.8 9.43 7.90 6.17 4.30 2.08 2.11 2.13 2.16 2.19 13.1 11.3 9.32 7.19 4.95 49.0 42.2 34.8 26.7 18.3 18.4 15.7 12.9 9.85 6.72 1.73 1.75 1.77 1.78 1.80 5 x 1/2 3/8 5/16 1/4 3/16 1/8 28.43 22.37 19.08 15.62 11.97 8.16 0.465 0.349 0.291 0.233 0.174 0.116 7.75 11.3 14.2 18.5 25.7 40.1 7.75 11.3 14.2 18.5 25.7 40.1 7.88 6.18 5.26 4.30 3.28 2.23 26.0 21.7 19.0 16.0 12.6 8.80 10.4 8.68 7.62 6.41 5.03 3.52 1.82 1.87 1.90 1.93 1.96 1.99 13.1 10.6 9.16 7.61 5.89 4.07 44.6 36.1 31.2 25.8 19.9 13.7 18.7 14.9 12.8 10.5 8.08 5.53 1.53 1.57 1.58 1.60 1.62 1.63 4 1/2 x 4 1/2 x 1/2 3/8 5/16 1/4 3/16 1/8 25.03 19.82 16.96 13.91 10.70 7.31 0.465 0.349 0.291 0.233 0.174 0.116 6.68 9.89 12.5 16.3 22.9 35.8 6.68 9.89 12.5 16.3 22.9 35.8 6.95 5.48 4.68 3.84 2.93 2.00 18.1 15.3 13.5 11.4 9.02 6.35 8.03 6.79 6.00 5.08 4.01 2.82 1.61 1.67 1.70 1.73 1.75 1.78 10.2 8.36 7.27 6.06 4.71 3.27 31.3 25.7 22.3 18.5 14.4 9.92 14.8 11.9 10.2 8.44 6.49 4.45 1.37 1.40 1.42 1.43 1.45 1.47 4 21.63 17.27 14.83 12.21 9.42 6.46 0.465 0.349 0.291 0.233 0.174 0.116 5.60 8.46 10.7 14.2 20.0 31.5 5.60 8.46 10.7 14.2 20.0 31.5 6.02 4.78 4.10 3.37 2.58 1.77 11.9 10.3 9.14 7.80 6.21 4.40 5.97 5.13 4.57 3.90 3.10 2.20 1.41 1.47 1.49 1.52 1.55 1.58 7.70 6.39 5.59 4.69 3.67 2.56 21.0 17.5 15.3 12.8 10.0 6.91 11.2 9.14 7.91 6.56 5.07 3.49 1.20 1.23 1.25 1.27 1.28 1.30 6 17 in. Weight Wall per Thickness Foot t X x 6 x 5 x 4 x 1/2 3/8 5/16 1/4 3/16 1/8 X Y Y DIMENSIONS AND SECTION PROPERTIES OF SQUARE HSS X X Y Nominal Size in. 18 in. in. Weight Wall per Thickness Foot t Ib. b/t h/t in. Cross Sectional Area lx Sx rx Zx in.2 in.4 in.3 in. in.3 J C in.4 in.3 x Torsional Stiffness Constant Torsional Shear Constant Surface Area Per Foot ft.2 3 1/2 x 3 1/2 x 3/8 5/16 1/4 3/16 1/8 14.72 12.70 10.51 8.15 5.61 0.349 0.291 0.233 0.174 0.116 7.03 9.03 12.0 17.1 27.2 7.03 9.03 12.0 17.1 27.2 4.09 3.52 2.91 2.24 1.54 6.49 5.84 5.04 4.05 2.90 3.71 3.34 2.88 2.31 1.66 1.26 1.29 1.32 1.35 1.37 4.69 4.14 3.50 2.76 1.93 11.2 9.89 8.35 6.56 4.58 6.77 5.90 4.92 3.83 2.65 1.07 1.08 1.10 1.12 1.13 3 12.17 10.58 8.81 6.87 4.75 0.349 0.291 0.233 0.174 0.116 5.60 7.31 9.88 14.2 22.9 5.60 7.31 9.88 14.2 22.9 3.39 2.94 2.44 1.89 1.30 3.78 3.45 3.02 2.46 1.78 2.52 2.30 2.01 1.64 1.19 1.06 1.08 1.11 1.14 1.17 3.25 2.90 2.48 1.97 1.40 6.64 5.94 5.08 4.03 2.84 4.74 4.18 3.52 2.76 1.92 0.90 0.92 0.93 0.95 0.97 2 1/2 x 2 1/2 x 5/16 1/4 3/16 1/8 8.45 7.11 5.59 3.90 0.291 0.233 0.174 0.116 5.59 7.73 11.4 18.6 5.59 7.73 11.4 18.6 2.35 1.97 1.54 1.07 1.82 1.63 1.35 1.00 1.46 1.30 1.08 0.80 0.88 0.91 0.94 0.97 1.88 1.63 1.32 0.95 3.20 2.79 2.25 1.61 2.74 2.35 1.86 1.31 0.75 0.77 0.78 0.80 2 1/4 x 3 1/4 x 1/4 3/16 1/8 6.26 4.96 3.48 0.233 0.174 0.116 6.66 9.93 16.4 6.66 9.93 16.4 1.74 1.37 0.96 1.13 0.95 0.71 1.01 0.85 0.63 0.81 0.84 0.86 1.28 1.04 0.76 1.96 1.60 1.15 1.85 1.48 1.05 0.68 0.70 0.72 2 5.41 4.32 3.05 0.233 0.174 0.116 5.58 8.49 14.2 5.58 8.49 14.2 1.51 1.19 0.84 0.75 0.64 0.49 0.75 0.64 0.49 0.70 0.73 0.76 0.96 0.80 0.58 1.31 1.09 0.796 1.41 1.14 0.817 0.60 0.62 0.63 x 3 x 2 x 3/8 5/16 1/4 3/16 1/8 x 1/4 3/16 1/8 Y X DIMENSIONS AND SECTION PROPERTIES OF ROUND HSS Nominal Size Outside Diameter in. 19 Y Wall Thickness Wall Weight per Foot t CrossSectional Area in. lb. in. in.2 in.4 D/t X lx x S x Torsional Stiffness Constant Torsional Shear Constant rx Zx in.3 in. in.3 in.4 in.3 J C Surface Area Per Foot ft.2 20.000 0.500 0.375 104 78.67 0.465 0.349 43.0 57.3 28.5 21.5 1360 1040 136 104 6.91 6.95 177 135 2720 2080 272 208 5.24 5.24 18.000 0.500 0.375 93.54 70.65 0.465 0.349 38.7 51.6 25.6 19.4 985 754 109 83.8 6.20 6.24 143 109 1970 1510 219 168 4.71 4.71 16.000 0.500 0.438 0.375 0.312 82.85 72.86 62.64 52.32 0.465 0.407 0.349 0.291 34.4 39.3 45.8 55.0 22.7 19.9 17.2 14.4 685 606 526 443 85.7 75.8 65.7 55.4 5.49 5.51 5.53 5.55 112 99.0 85.5 71.8 1370 1210 1050 886 171 152 131 111 4.19 4.19 4.19 4.19 14.000 0.500 0.375 0.312 72.16 54.62 45.65 0.465 0.349 0.291 30.1 40.1 48.1 19.8 15.0 12.5 453 349 295 64.8 49.8 42.1 4.79 4.83 4.85 85.2 65.1 54.7 907 698 589 130 100 84.2 3.67 3.67 3.67 12.750 0.500 0.375 0.250 65.48 49.61 33.41 0.465 0.349 0.233 27.4 36.5 54.7 17.9 13.6 9.16 339 262 180 53.2 41.0 28.2 4.35 4.39 4.43 70.2 53.7 36.5 678 523 359 106 82.1 56.3 3.34 3.34 3.34 Y X DIMENSIONS AND SECTION PROPERTIES OF ROUND HSS Nominal Size Outside Diameter in. Wall t CrossSectional Area in. lb. in. in.2 in.4 28.5 21.5 0.500 0.375 0.188 54.79 41.59 28.06 0.465 0.349 0.233 15.0 11.4 7.70 10.000 0.625 0.500 0.375 0.312 0.250 0.188 62.64 50.78 38.58 32.31 26.06 19.72 0.581 0.465 0.349 0.291 0.233 0.174 17.2 13.9 10.6 8.88 7.15 5.37 0.500 0.375 0.312 0.250 0.188 48.77 37.08 31.06 25.05 18.97 0.465 0.349 0.291 0.233 0.174 13.4 10.2 8.53 6.87 5.17 0.500 0.375 0.312 0.250 0.188 43.43 33.07 28.58 22.38 16.96 0.465 0.349 0.300 0.233 0.174 11.9 9.07 7.85 6.14 4.62 8.625 20 Wall Thickness 10.750 9.625 Y Weight per Foot D/t X 25.6 19.4 22.7 19.9 17.2 14.4 19.8 15.0 12.5 17.9 13.6 9.16 Torsional Shear Constant Surface Area Per Foot rx Zx in.3 in. in.3 in.4 in.3 199 154 106 37.0 28.7 19.8 3.64 3.68 3.72 49.2 37.8 25.8 398 309 213 74.1 57.4 39.6 2.81 2.81 2.81 191 159 123 105 85.3 64.8 38.3 31.7 24.7 20.9 17.1 13.0 3.34 3.38 3.41 3.43 3.45 3.47 51.6 42.3 32.5 27.4 22.2 16.8 383 317 247 209 171 130 76.6 63.5 49.3 41.9 34.1 25.9 2.62 2.62 2.62 2.62 2.62 2.62 141 110 93.0 75.9 57.7 29.2 22.8 19.3 15.8 12.0 3.24 3.28 3.30 3.32 3.34 39.0 30.0 25.4 20.6 15.5 281 219 186 152 115 58.5 45.5 38.7 31.5 24.0 2.52 2.52 2.52 2.52 2.52 100 77.8 68.1 54.1 41.3 23.1 18.0 15.8 12.5 9.57 2.89 2.93 2.95 2.97 2.99 31.0 23.9 20.8 16.4 12.4 199 156 136 108 82.5 46.2 36.1 31.6 25.1 19.1 2.26 2.26 2.26 2.26 2.26 lx x S x Torsional Stiffness Constant J C ft.2 Y X DIMENSIONS AND SECTION PROPERTIES OF ROUND HSS Nominal Size Outside Diameter in. 21 Y Wall Thickness Wall Weight per Foot t CrossSectional Area in. lb. in. in.2 in.4 D/t X lx x S x Torsional Stiffness Constant Torsional Shear Constant rx Zx in.3 in. in.3 in.4 in.3 J C Surface Area Per Foot ft.2 7.625 0.375 0.328 29.06 25.59 0.349 0.305 21.8 25.0 7.98 7.01 52.9 47.1 13.9 12.3 2.58 2.59 18.5 16.4 106 94.1 27.8 24.7 2.00 2.00 7.500 0.500 0.375 0.312 0.250 0.188 37.42 28.56 23.97 19.38 14.70 0.465 0.349 0.291 0.233 0.174 16.1 21.5 25.8 32.2 43.1 10.3 7.84 6.59 5.32 4.00 63.9 50.2 42.9 35.2 26.9 17.0 13.4 11.4 9.37 7.17 2.49 2.53 2.55 2.57 2.59 23.0 17.9 15.1 12.3 9.34 128 100 85.8 70.3 53.8 34.1 26.8 22.9 18.7 14.3 1.96 1.96 1.96 1.96 1.96 7.000 0.500 0.375 0.312 0.250 0.188 0.125 34.74 26.56 22.31 18.04 13.69 9.19 0.465 0.349 0.291 0.233 0.174 0.116 15.1 20.1 24.1 30.0 40.2 60.3 9.55 7.29 6.13 4.95 3.73 2.51 51.2 40.4 34.6 28.4 21.7 14.9 14.6 11.6 9.88 8.11 6.21 4.25 2.32 2.35 2.37 2.39 2.41 2.43 19.9 15.5 13.1 10.7 8.11 5.50 102 80.9 69.1 56.8 43.5 29.7 29.3 23.1 19.8 16.2 12.4 8.49 1.83 1.83 1.83 1.83 1.83 1.83 Y X DIMENSIONS AND SECTION PROPERTIES OF ROUND HSS Nominal Size Outside Diameter in. 22 Y Wall Thickness Wall Weight per Foot t CrossSectional Area in. lb. in. in.2 in.4 D/t X lx x S x Torsional Stiffness Constant Torsional Shear Constant rx Zx in.3 in. in.3 in.4 in.3 J C Surface Area Per Foot ft.2 6.875 0.500 0.375 0.312 0.250 0.188 34.07 26.06 21.89 17.71 13.44 0.465 0.349 0.291 0.233 0.174 14.8 19.7 23.6 29.5 39.5 9.36 7.16 6.02 4.86 3.66 48.3 38.2 32.7 26.8 20.6 14.1 11.1 9.51 7.81 5.99 2.27 2.31 2.33 2.35 2.37 19.1 14.9 12.6 10.3 7.81 96.7 76.4 65.4 53.7 41.1 28.1 22.2 19.0 15.6 12.0 1.80 1.80 1.80 1.80 1.80 6.625 0.500 0.432 0.375 0.312 0.280 0.250 0.188 0.125 32.74 28.60 25.05 21.06 18.99 17.04 12.94 8.69 0.465 0.402 0.349 0.291 0.260 0.233 0.174 0.116 14.2 16.4 19.0 22.8 25.4 28.4 38.1 57.1 9.00 7.88 6.88 5.79 5.22 4.68 3.53 2.37 42.9 38.2 34.0 29.1 26.4 23.9 18.4 12.6 13.0 11.5 10.3 8.79 7.96 7.22 5.54 3.79 2.18 2.20 2.22 2.24 2.25 2.26 2.28 2.30 17.7 15.6 13.8 11.7 10.5 9.52 7.24 4.92 85.9 76.4 68.0 58.2 52.7 47.9 36.7 25.1 25.9 23.1 20.5 17.6 15.9 14.4 11.1 7.59 1.73 1.73 1.73 1.73 1.73 1.73 1.73 1.73 6.000 0.500 0.375 0.312 0.280 0.250 0.188 0.125 29.40 22.55 18.97 17.12 15.37 11.68 7.85 0.465 0.349 0.291 0.260 0.233 0.174 0.116 12.9 17.2 20.6 23.1 25.8 34.5 51.7 8.09 6.20 5.22 4.69 4.22 3.18 2.14 31.2 24.8 21.3 19.3 17.6 13.5 9.28 10.4 8.28 7.11 6.45 5.86 4.51 3.09 1.96 2.00 2.02 2.03 2.04 2.06 2.08 14.3 11.2 9.49 8.57 7.75 5.91 4.02 62.4 49.7 42.6 38.7 35.2 27.0 18.6 20.8 16.6 14.2 12.9 11.7 9.02 6.19 1.57 1.57 1.57 1.57 1.57 1.57 1.57 Y X DIMENSIONS AND SECTION PROPERTIES OF ROUND HSS Nominal Size Outside Diameter in. Wall Thickness Wall t CrossSectional Area in. lb. in. in.2 in.4 lx x S x Torsional Stiffness Constant Torsional Shear Constant rx Zx in.3 in. in.3 in.4 in.3 J C Surface Area Per Foot ft.2 5.563 0.500 0.375 0.258 0.188 0.134 27.06 20.80 14.63 10.80 7.78 0.465 0.349 0.240 0.174 0.124 12.0 15.9 23.2 32.0 44.9 7.45 5.72 4.01 2.95 2.12 24.4 19.5 14.2 10.7 7.84 8.77 7.02 5.12 3.85 2.82 .1.81 1.85 1.88 1.91 1.92 12.1 9.50 6.80 5.05 3.67 48.8 39.0 28.5 21.4 15.7 17.5 14.0 10.2 7.70 5.64 1.46 1.46 1.46 1.46 1.46 5.500 0.500 0.375 0.258 26.73 20.54 14.46 0.465 0.349 0.240 11.8 15.8 22.8 7.36 5.65 3.98 23.5 18.8 13.7 8.55 6.84 5.00 1.79 1.83 1.86 11.8 9.27 6.64 47.0 37.6 27.6 17.1 13.7 10.0 1.44 1.44 1.44 5.000 0.500 0.375 0.312 0.258 0.250 0.188 0.125 24.05 18.54 15.64 13.08 12.69 9.67 6.51 0.465 0.349 0.291 0.240 0.233 0.174 0.116 10.8 14.3 17.2 20.8 21.5 28.7 43.1 6.62 5.10 4.30 3.59 3.49 2.64 1.78 17.2 13.9 12.0 10.2 9.94 7.69 5.31 6.88 5.55 4.79 4.08 3.97 3.08 2.12 1.61 1.65 1.67 1.69 1.69 1.71 1.73 9.60 7.56 6.46 5.44 5.30 4.05 2.77 34.4 27.7 24.0 20.5 19.9 15.4 10.6 13.8 11.1 9.58 8.18 7.95 6.15 4.25 1.31 1.31 1.31 1.31 1.31 1.31 1.31 0.375 0.337 0.237 0.188 0.125 16.54 15.00 10.80 8.67 5.85 0.349 0.313 0.220 0.174 0.116 12.9 14.4 20.5 25.9 38.8 4.55 4.12 2.96 2.36 1.60 9.87 9.07 6.79 5.54 3.84 4.39 4.03 3.02 2.46 1.71 1.47 1.48 1.52 1.53 1.55 6.03 5.50 4.03 3.26 2.23 19.7 18.1 13.6 11.1 7.68 8.78 8.06 6.04 4.93 3.41 1.18 1.18 1.18 1.18 1.18 0.313 0.250 0.237 0.226 0.220 0.188 0.125 12.34 10.02 9.53 9.12 8.89 7.66 5.18 0.291 0.233 0.220 0.210 0.205 0.174 0.116 13.7 17.2 18.1 19.0 19.5 23.0 34.5 3.39 2.76 2.61 2.50 2.44 2.09 1.42 5.87 4.91 4.68 4.50 4.41 3.83 2.67 2.93 2.45 2.34 2.25 2.21 1.92 1.34 1.32 1.33 1.34 1.34 1.34 1.35 1.37 4.01 3.31 3.15 3.02 2.96 2.55 1.75 11.7 9.82 9.36 9.01 8.83 7.67 5.34 5.87 4.91 4.68 4.50 4.41 3.83 2.67 1.05 1.05 1.05 1.05 1.05 1.05 1.05 4.5000 4.000 23 Y Weight per Foot D/t X Y X X DIMENSIONS AND SECTION PROPERTIES OF ROUND HSS Y Nominal Size Outside Diameter in. 24 Wall Thickness Wall Weight per Foot t CrossSectional Area in. lb. in. in.2 in.4 D/t lx x S x Torsional Stiffness Constant Torsional Shear Constant rx Zx in.3 in. in.3 in.4 in.3 J C Surface Area Per Foot ft.2 3.500 0.313 0.300 0.250 0.216 0.203 0.188 0.125 10.66 10.26 8.69 7.58 7.15 6.66 4.51 0.291 0.279 0.233 0.201 0.189 0.174 0.116 12.0 12.5 15.0 17.4 18.5 20.1 30.2 2.93 2.83 2.39 2.08 1.97 1.82 1.23 3.81 3.69 3.21 2.84 2.70 2.52 1.77 2.18 2.11 1.83 1.63 1.54 1.44 1.01 1.14 1.14 1.16 1.17 1.17 1.18 1.20 3.00 2.90 2.49 2.19 2.07 1.93 1.33 7.61 7.38 6.41 5.69 5.41 5.04 3.53 4.35 4.22 3.66 3.25 3.09 2.88 2.02 0.92 0.92 0.92 0.92 0.92 0.92 0.92 3.000 0.250 0.216 0.203 0.188 0.152 0.134 0.125 7.35 6.43 6.07 5.65 4.63 4.11 3.84 0.233 0.201 0.189 0.174 0.141 0.124 0.116 12.9 14.9 15.9 17.2 21.3 24.2 25.9 2.03 1.77 1.67 1.54 1.27 1.12 1.05 1.95 1.74 1.66 1.55 1.30 1.16 1.09 1.30 1.16 1.10 1.03 0.865 0.774 0.730 0.982 0.992 0.996 1.00 1.01 1.02 1.02 1.79 1.58 1.50 1.39 1.15 1.03 0.965 3.90 3.48 3.31 3.10 2.59 2.32 2.19 2.60 2.32 2.21 2.06 1.73 1.55 1.46 0.79 0.79 0.79 0.79 0.79 0.79 0.79 2.875 0.250 0.203 0.188 0.125 7.02 5.80 5.40 3.67 0.233 0.189 0.174 0.116 12.3 15.2 16.5 24.8 1.93 1.59 1.48 1.01 1.70 1.45 1.35 0.958 1.18 1.01 0.941 0.667 0.938 0.952 0.957 0.976 1.63 1.37 1.27 0.884 3.40 2.89 2.70 1.92 2.37 2.01 1.88 1.33 0.75 0.75 0.75 0.75 2.500 0.250 0.188 0.125 6.01 4.65 3.17 0.233 0.174 0.116 10.7 14.4 21.6 1.66 1.27 0.869 1.08 0.865 0.619 0.862 0.806 1.20 0.692 0.825 0.943 0.495 0.844 0.660 2.15 1.73 1.24 1.72 1.38 0.990 0.65 0.65 0.65 2.375 0.250 0.218 0.188 0.154 0.125 0.250 0.218 0.188 0.154 0.125 0.233 0.203 0.174 0.143 0.116 10.2 11.7 13.6 16.6 20.5 1.57 1.39 1.20 1.00 0.82 0.910 0.824 0.733 0.627 0.527 0.766 0.694 0.617 0.528 0.443 1.82 1.65 1.47 1.25 1.05 1.53 1.39 1.23 1.06 0.887 0.62 0.62 0.62 0.62 0.62 1.900 0.188 0.145 0.120 3.44 0.145 2.28 0.174 0.135 0.111 10.9 14.1 17.1 0.943 0.75 0.624 0.355 0.293 0.251 0.374 0.613 0.520 0.309 0.626 0.421 0.264 0.634 0.356 0.710 0.586 0.501 0.747 0.617 0.527 0.50 0.50 0.50 1.660 0.140 0.140 0.130 12.8 .63 0.184 0.222 0.543 0.305 0.368 0.444 0.43 0.762 0.771 0.781 0.791 0.800 1.07 0.960 0.845 0.713 0.592 2516 Waukegan Road, Suite 172, Glenview, IL 60025 Tel: 847.461.1701 • Fax: 847.660.7981 www.steeltubeinstitute.org
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