MultiPhysicsVault/.raw/AFirstCourseInTheFiniteElementMethod/AFirstCourseInTheFiniteElementMethod_079.md

Wide Flange Shapes (W Shapes)*: Theoretical Dimensions and Properties for Designing (Continued )

Section Number	Weight per Foot (lb)	Area of Section A (in.2)	Depth of Section d (in.)	Flange		Web Thickness $t_w$ (in.)	Axis X-X			Axis Y-Y
				Width $b_f$ (in.)	Thick-ness $t_f$ (in.)		$l_x$ (in.4)	$S_x$ (in.3)	$r_x$ (in.)	$l_y$ (in.4)	$S_y$ (in.3)	$r_y$ (in.)
W10 ×	45	13.3	10.10	8.020	0.620	0.350	248	49.1	4.33	53.4	13.3	2.01
	39	11.5	9.92	7.985	0.530	0.315	209	42.1	4.27	45.0	11.3	1.98
	33	9.71	9.73	7.960	0.435	0.290	170	35.0	4.19	36.6	9.20	1.94
W10 ×	30	8.84	10.47	5.810	0.510	0.300	170	32.4	4.38	16.7	5.75	1.37
	26	7.61	10.33	5.770	0.440	0.260	144	27.9	4.35	14.1	4.89	1.36
	22	6.49	10.17	5.750	0.360	0.240	118	23.2	4.27	11.4	3.97	1.33
W10 ×	19	5.62	10.24	4.020	0.395	0.250	96.3	18.8	4.14	4.29	2.14	0.874
	17	4.99	10.11	4.010	0.330	0.240	81.9	16.2	4.05	3.56	1.78	0.845
	15	4.41	7.99	4.000	0.270	0.230	68.9	13.8	3.95	2.89	1.45	0.810
	12	3.54	9.87	3.960	0.210	0.190	53.8	10.9	3.90	2.18	1.10	0.785
W8 ×	67	19.7	9.00	8.280	0.935	0.570	272	60.4	3.72	88.6	21.4	2.12
	58	17.1	8.75	8.220	0.810	0.510	228	52.0	3.65	75.1	18.3	2.10
	48	14.1	8.50	8.110	0.685	0.400	184	43.3	3.61	60.9	15.0	2.08
	40	11.7	8.25	8.070	0.560	0.360	146	35.5	3.53	49.1	12.2	2.04
	35	10.3	8.12	8.020	0.495	0.310	127	31.2	3.51	42.6	10.6	2.03
	31	9.13	8.00	7.995	0.435	0.285	110	27.5	3.47	37.1	9.27	2.02
W8 ×	28	8.25	8.06	6.535	0.465	0.285	98.0	24.3	3.45	21.7	6.63	1.62
	24	7.08	7.93	6.495	0.400	0.245	82.8	20.9	3.42	18.3	5.63	1.61
W8 ×	21	6.16	8.28	5.270	0.400	0.250	75.3	18.2	3.49	9.77	3.71	1.26
	18	5.26	8.14	5.250	0.330	0.230	61.9	15.2	3.43	7.97	3.04	1.23
W8 ×	15	4.44	8.11	4.015	0.315	0.245	48.0	11.8	3.29	3.41	1.70	0.876
	13	3.84	7.99	4.000	0.255	0.230	39.6	9.91	3.21	2.73	1.37	0.843
	10	2.96	7.89	3.940	0.205	0.170	30.8	7.81	3.22	2.09	1.06	0.841
W6 ×	25	7.34	6.38	6.080	0.455	0.320	53.4	16.7	2.70	17.1	5.61	1.52
	20	5.87	6.20	6.020	0.365	0.260	41.4	13.4	2.66	13.3	4.41	1.50
	15	4.43	5.99	5.990	0.260	0.230	29.1	9.72	2.56	9.32	3.11	1.45
W6 ×	16	4.74	6.28	4.030	0.405	0.260	32.1	10.2	2.60	4.43	2.20	0.967
	12	3.55	6.03	4.000	0.280	0.230	22.1	7.31	2.49	2.99	1.50	0.918
	9	2.68	5.90	3.940	0.215	0.170	16.4	5.56	2.47	2.20	1.11	0.905
W5 ×	19	5.54	5.15	5.030	0.430	0.270	26.2	10.2	2.17	9.13	3.63	1.28
	16	4.68	5.01	5.000	0.360	0.240	21.3	8.51	2.13	7.51	3.00	1.27
W4 ×	13	3.83	4.16	4.060	0.345	0.280	11.3	5.46	1.72	3.86	1.90	1.00

Pipe: Dimensions and Properties*

Dimensions				Weight per Ft. Lbs. Plain Ends	Properties				Schedule No.
Nominal Diameter in.	Outside Diameter in.	Inside Diameter in.	Wall Thickness in.		$A$ in. $^2$	$I$ in. $^4$	$S$ in. $^3$	$r$ in.
Standard Weight
$1/2$	.840	.622	.109	.85	.250	.017	.041	.261	40
$3/4$	1.050	.824	.113	1.13	.333	.037	.071	.334	40
1	1.315	1.049	.133	1.68	.494	.087	.133	.421	40
$11/4$	1.660	1.380	.140	2.27	.669	.195	.235	.540	40
$11/2$	1.900	1.610	.145	2.72	.799	.310	.326	.623	40
2	2.375	2.067	.154	3.65	1.07	.666	.561	.787	40
$21/2$	2.875	2.469	.203	5.79	1.70	1.53	1.06	.947	40
3	3.500	3.068	.216	7.58	2.23	3.02	1.72	1.16	40
$31/2$	4.000	3.548	.226	9.11	2.68	4.79	2.39	1.34	40
4	4.500	4.026	.237	10.79	3.17	7.23	3.21	1.51	40
5	5.563	5.047	.258	14.62	4.30	15.2	5.45	1.88	40
6	6.625	6.065	.280	18.97	5.58	28.1	8.50	2.25	40
8	8.625	7.981	.322	28.55	8.40	72.5	16.8	2.94	40
10	10.750	10.020	.365	40.48	11.9	161	29.9	3.67	40
12	12.750	12.000	.375	49.56	14.6	279	43.8	4.38
Extra Strong
$1/2$	.840	.546	.147	1.09	.320	.020	.048	.250	80
$3/4$	1.050	.742	.154	1.47	.433	.045	.085	.321	80
1	1.315	.957	.179	2.17	.639	.106	.161	.407	80
$11/4$	1.660	1.278	.191	3.00	.881	.242	.291	.524	80
$11/2$	1.900	1.500	.200	3.63	1.07	.391	.412	.605	80
2	2.375	1.939	.218	5.02	1.48	.868	.731	.766	80
$21/2$	2.875	2.323	.276	7.66	2.25	1.92	1.34	.924	80
3	3.500	2.900	.300	10.25	3.02	3.89	2.23	1.14	80
$31/2$	4.000	3.364	.318	12.50	3.68	6.28	3.14	1.31	80
4	4.500	3.826	.337	14.98	4.41	9.61	4.27	1.48	80
5	5.563	4.813	.375	20.78	6.11	20.7	7.43	1.84	80
6	6.625	5.761	.432	28.57	8.40	40.5	12.2	2.19	80
8	8.625	7.625	.500	43.39	12.8	106	24.5	2.88	80
10	10.750	9.750	.500	54.74	16.1	212	39.4	3.63	80
12	12.750	11.750	.500	65.42	19.2	362	56.7	4.33
Double-Extra Strong
2	2.375	1.503	.436	9.03	2.66	1.31	1.10	.703
$21/2$	2.875	1.771	.552	13.69	4.03	2.87	2.00	.844
3	3.500	2.300	.600	18.58	5.47	5.99	3.42	1.05
4	4.500	3.152	.674	27.54	8.10	15.3	6.79	1.37
5	5.563	4.063	.750	38.55	11.3	33.6	12.1	1.72
6	6.625	4.897	.864	53.16	15.6	66.3	20.0	2.06
8	8.625	6.875	.875	72.42	21.3	162	37.6	2.76

*The listed sections are available in conformance with ASTM Specification A 53 Grade B or A501. Other sections are made to these specifications. Consult with pipe manufacturers or distributors for availability. Printed with permission AISC.

natural_image

Simple geometric diagram of a square with perpendicular and horizontal center lines (no text or symbols)

Structural Tubing--Square: Dimensions and Properties

Dimensions				Properties**
Nominal* Size	Wall Thickness		Weight per Ft	Area	I	S	r	J	Z
In.	In.		Lb.	$In.^2$	$In.^4$	$In.^3$	In.	$In.^4$	$In.^3$
16 × 16	0.6250	$\frac{5}{8}$	127.37	37.4	1450	182	6.23	2320	214
	0.5000	$\frac{1}{2}$	103.30	30.4	1200	150	6.29	1890	175
	0.3750	$\frac{3}{8}$	78.52	23.1	931	116	6.35	1450	134
	0.3125	$\frac{5}{16}$	65.87	19.4	789	98.6	6.38	1220	113
14 × 14	0.6250	$\frac{5}{8}$	110.36	32.4	952	136	5.42	1530	161
	0.5000	$\frac{1}{2}$	89.68	26.4	791	113	5.48	1250	132
	0.3750	$\frac{3}{8}$	68.31	20.1	615	87.9	5.54	963	102
	0.3125	$\frac{5}{16}$	57.36	16.9	522	74.6	5.57	812	86.1
12 × 12	0.6250	$\frac{5}{8}$	93.34	27.4	580	96.7	4.60	943	116
	0.5000	$\frac{1}{2}$	76.07	22.4	485	80.9	4.66	777	95.4
	0.3750	$\frac{3}{8}$	58.10	17.1	380	63.4	4.72	599	73.9
	0.3125	$\frac{5}{16}$	48.86	14.4	324	54.0	4.75	506	62.6
	0.2500	$\frac{1}{4}$	39.43	11.6	265	44.1	4.78	410	50.8
	0.1875	$\frac{3}{16}$	29.84	8.77	203	33.8	4.81	312	38.7
10 × 10	0.6250	$\frac{5}{8}$	76.33	22.4	321	64.2	3.78	529	77.6
	0.5625	$\frac{9}{16}$	69.48	20.4	297	59.4	3.81	485	71.3
	0.5000	$\frac{1}{2}$	62.46	18.4	271	54.2	3.84	439	64.6
	0.3750	$\frac{3}{8}$	47.90	14.1	214	42.9	3.90	341	50.4
	0.3125	$\frac{5}{16}$	40.35	11.9	183	36.7	3.93	289	42.8
	0.2500	$\frac{1}{4}$	32.63	9.59	151	30.1	3.96	235	34.9
	0.1875	$\frac{3}{16}$	24.73	7.27	116	23.2	3.99	179	26.6
9 × 9	0.6250	$\frac{5}{8}$	67.82	19.9	227	50.4	3.37	377	61.5
	0.5625	$\frac{9}{16}$	61.83	18.2	211	46.8	3.40	347	56.6
	0.5000	$\frac{1}{2}$	55.66	16.4	193	42.9	3.43	315	51.4
	0.3750	$\frac{3}{8}$	42.79	12.6	154	34.1	3.49	246	40.3
	0.3125	$\frac{5}{16}$	36.10	10.6	132	29.3	3.53	209	34.3
	0.2500	$\frac{1}{4}$	29.23	8.59	109	24.1	3.56	170	28.0
	0.1875	$\frac{3}{16}$	22.18	6.52	83.8	18.6	3.59	130	21.4
8 × 8	0.6250	$\frac{5}{8}$	59.32	17.4	153	38.3	2.96	258	47.2
	0.5625	$\frac{9}{16}$	54.17	15.9	143	35.7	3.00	238	43.6
	0.5000	$\frac{1}{2}$	48.85	14.4	131	32.9	3.03	217	39.7
	0.3750	$\frac{3}{8}$	37.69	11.1	106	26.4	3.09	170	31.3
	0.3125	$\frac{5}{16}$	31.84	9.36	90.9	22.7	3.12	145	26.7
	0.2500	$\frac{1}{4}$	25.82	7.59	75.1	18.8	3.15	118	21.9
	0.1875	$\frac{3}{16}$	19.63	5.77	58.2	14.6	3.18	90.6	16.8
7 × 7	0.5625	$\frac{9}{16}$	46.51	13.7	91.4	26.1	2.59	154	32.3
	0.5000	$\frac{1}{2}$	42.05	12.4	84.6	24.2	2.62	141	29.6
	0.3750	$\frac{3}{8}$	32.58	9.58	68.7	19.6	2.68	112	23.5
	0.3125	$\frac{5}{16}$	27.59	8.11	59.5	17.0	2.71	95.6	20.1
	0.2500	$\frac{1}{4}$	22.42	6.59	49.4	14.1	2.74	78.3	16.5
	0.1875	$\frac{3}{16}$	17.08	5.02	38.5	11.0	2.77	60.2	12.7

*Outside dimensions across flat sides.
**Properties are based upon a nominal outside corner radius equal to two times the wall thickness.

Structural Tubing--Square: Dimensions and Properties (Continued )

Dimensions				Properties**
Nominal* Size	Wall Thickness		Weight per Ft	Area	$I$	$S$	$r$	$J$	$Z$
In.	In.		Lb.	$In.^2$	$In.^4$	$In.^3$	In.	$In.^4$	$In.^3$
6 × 6	0.5625	$\frac{9}{16}$	38.86	11.4	54.1	18.0	2.18	92.9	22.7
	0.5000	$\frac{1}{2}$	35.24	10.4	50.5	16.8	2.21	85.6	20.9
	0.3750	$\frac{3}{8}$	27.48	8.08	41.6	13.9	2.27	68.5	16.8
	0.3125	$\frac{5}{16}$	23.34	6.86	36.3	12.1	2.30	58.9	14.4
	0.2500	$\frac{1}{4}$	19.02	5.59	30.3	10.1	2.33	48.5	11.9
	0.1875	$\frac{3}{16}$	14.53	4.27	23.8	7.93	2.36	37.5	9.24
5 × 5	0.5000	$\frac{1}{2}$	28.43	8.36	27.0	10.8	1.80	46.8	13.7
	0.3750	$\frac{3}{8}$	22.37	6.58	22.8	9.11	1.86	38.2	11.2
	0.3125	$\frac{5}{16}$	19.08	5.61	20.1	8.02	1.89	33.1	9.70
	0.2500	$\frac{1}{4}$	15.62	4.59	16.9	6.78	1.92	27.4	8.07
	0.1875	$\frac{3}{16}$	11.97	3.52	13.4	5.36	1.95	21.3	6.29
4.5 × 4.5	0.2500	$\frac{1}{4}$	13.91	4.09	12.1	5.36	1.72	19.7	6.43
	0.1875	$\frac{3}{16}$	10.70	3.14	9.60	4.27	1.75	15.4	5.03
4 × 4	0.5000	$\frac{1}{2}$	21.63	6.36	12.3	6.13	1.39	21.8	8.02
	0.3750	$\frac{3}{8}$	17.27	5.08	10.7	5.35	1.45	18.4	6.72
	0.3125	$\frac{5}{16}$	14.83	4.36	9.58	4.79	1.48	16.1	5.90
	0.2500	$\frac{1}{4}$	12.21	3.59	8.22	4.11	1.51	13.5	4.97
	0.1875	$\frac{3}{16}$	9.42	2.77	6.59	3.30	1.54	10.6	3.91
3.5 × 3.5	0.3125	$\frac{5}{16}$	12.70	3.73	6.09	3.48	1.28	10.4	4.35
	0.2500	$\frac{1}{4}$	10.51	3.09	5.29	3.02	1.31	8.82	3.70
	0.1875	$\frac{3}{16}$	8.15	2.39	4.29	2.45	1.34	6.99	2.93
3 × 3	0.3125	$\frac{5}{16}$	10.58	3.11	3.58	2.39	1.07	6.22	3.04
	0.2500	$\frac{1}{4}$	8.81	2.59	3.16	2.10	1.10	5.35	2.61
	0.1875	$\frac{3}{16}$	6.87	2.02	2.60	1.73	1.13	4.28	2.10
2.5 × 2.5	0.3125	$\frac{5}{16}$	10.58	3.11	3.58	2.39	1.07	3.32	1.96
	0.2500	$\frac{1}{4}$	7.11	2.09	1.69	1.35	0.899	2.92	1.71
	0.1875	$\frac{3}{16}$	5.59	1.64	1.42	1.14	0.930	2.38	1.40
2 × 2	0.3125	$\frac{5}{16}$	6.32	1.86	0.880	0.880	0.690	1.49	1.11
	0.2500	$\frac{1}{4}$	5.41	1.59	0.766	0.766	0.694	1.36	1.00
	0.1875	$\frac{3}{16}$	4.32	1.27	0.668	0.668	0.726	1.15	0.840

text_image

Y X X Y

Structural Tubing--Rectangular: Dimensions and Properties

Dimensions				Properties**
Nominal* Size	Wall Thickness		Weight per Ft.	X-X Axis					Y-Y Axis				J
				Area	$I_x$	$S_x$	$Z_x$	$r_x$	$I_y$	$S_y$	$Z_y$	$r_y$
In.	In.		Lb.	In. $^2$	In. $^4$	In. $^3$	In. $^3$	In.	In. $^4$	In. $^3$	In. $^3$	In.	In. $^4$
20 × 12	0.6250	$\frac{5}{8}$	127.37	37.4	2000	200	245	7.30	904	151	172	4.91	2010
	0.5000	$\frac{1}{2}$	103.30	30.4	1650	165	201	7.37	750	125	141	4.97	1650
	0.3750	$\frac{3}{6}$	78.52	23.1	1280	128	154	7.45	583	97.2	109	5.03	1270
	0.3125	$\frac{5}{16}$	65.87	19.4	1080	108	130	7.47	495	82.5	91.8	5.06	1070
20 × 8	0.5000	$\frac{1}{2}$	89.68	26.4	1270	127	162	6.94	300	75.1	84.7	3.38	806
	0.3750	$\frac{3}{8}$	68.31	20.1	988	98.8	125	7.02	236	59.1	65.6	3.43	625
	0.3125	$\frac{5}{16}$	57.36	16.9	838	83.8	105	7.05	202	50.4	55.6	3.46	529
20 × 4	0.5000	$\frac{1}{2}$	76.07	22.4	889	88.9	123	6.31	61.6	30.8	36.0	1.66	205
	0.3750	$\frac{3}{8}$	58.10	17.1	699	69.9	95.3	6.40	50.3	25.1	28.5	1.72	165
	0.3125	$\frac{5}{16}$	48.86	14.4	596	59.6	80.8	6.44	43.7	21.8	24.3	1.74	143
18 × 6	0.5000	$\frac{1}{2}$	76.07	22.4	818	90.9	119	6.05	141	47.2	53.9	2.52	410
	0.3750	$\frac{3}{8}$	58.10	17.1	641	71.3	92.2	6.13	113	37.6	42.1	2.57	322
	0.3125	$\frac{5}{16}$	48.86	14.4	546	60.7	78.1	6.17	97.0	32.3	35.8	2.60	274
16 × 12	0.6250	$\frac{5}{8}$	110.36	32.4	1160	145	175	5.98	742	124	144	4.78	1460
	0.5000	$\frac{1}{2}$	89.68	26.4	962	120	144	6.04	618	103	118	4.84	1200
	0.3750	$\frac{3}{8}$	68.31	20.1	748	93.5	111	6.11	482	80.3	91.3	4.90	922
	0.3125	$\frac{5}{16}$	57.36	16.9	635	79.4	93.8	6.14	409	68.2	77.2	4.93	777
16 × 8	0.5000	$\frac{1}{2}$	76.07	22.4	722	90.2	113	5.68	244	61.0	69.7	3.30	599
	0.3750	$\frac{3}{8}$	58.10	17.1	565	70.6	87.6	5.75	193	48.2	54.2	3.36	465
	0.3125	$\frac{5}{16}$	48.86	14.4	481	60.1	74.2	5.79	165	41.2	45.9	3.39	394
16 × 4	0.5000	$\frac{1}{2}$	62.46	18.4	481	60.2	82.2	5.12	49.3	24.6	29.0	1.64	157
	0.3750	$\frac{3}{8}$	47.90	14.1	382	47.8	64.2	5.21	40.4	20.2	23.0	1.69	127
	0.3125	$\frac{5}{16}$	40.35	11.9	327	40.9	54.5	5.25	35.1	17.6	19.7	1.72	110
14 × 10	0.6250	$\frac{5}{8}$	93.34	27.4	728	104	127	5.15	431	86.2	101	3.96	885
	0.5000	$\frac{1}{2}$	76.07	22.4	608	86.9	105	5.22	361	72.3	83.6	4.02	730
	0.3750	$\frac{3}{8}$	58.10	17.1	476	68.0	81.5	5.28	284	56.8	64.8	4.08	564
	0.3125	$\frac{5}{16}$	48.86	14.4	405	57.9	69.0	5.31	242	48.4	54.9	4.11	477
14 × 6	0.5000	$\frac{1}{2}$	62.46	18.4	426	60.8	78.3	4.82	111	37.1	42.9	2.46	296
	0.3750	$\frac{3}{8}$	47.90	14.1	337	48.1	61.1	4.89	89.1	29.7	33.6	2.52	233
	0.3125	$\frac{5}{16}$	40.35	11.9	288	41.2	51.9	4.93	76.7	25.6	28.7	2.54	199
	0.2500	$\frac{1}{4}$	32.63	9.59	237	33.8	42.3	4.97	63.4	21.1	23.4	2.57	162
14 × 4	0.5000	$\frac{1}{2}$	55.66	16.4	335	47.8	64.8	4.52	43.1	21.5	25.5	1.62	134
	0.3750	$\frac{3}{8}$	42.79	12.6	267	38.2	50.8	4.61	35.4	17.7	20.3	1.68	108
	0.3125	$\frac{5}{16}$	36.10	10.6	230	32.8	43.3	4.65	30.9	15.4	17.4	1.71	93.1
	0.2500	$\frac{1}{4}$	29.23	8.59	189	27.0	35.4	4.69	25.8	12.9	14.3	1.73	77.0

*Outside dimensions across flat sides.
**Properties are based upon a nominal outside corner radius equal to two times the wall thickness.

Structural Tubing--Rectangular: Dimensions and Properties (Continued )

Dimensions				Properties**
Nominal* Size	Wall Thickness		Weight per Ft.	Area	X-X Axis				Y-Y Axis				J
					$I_x$	$S_x$	$Z_x$	$r_x$	$I_y$	$S_y$	$Z_y$	$r_y$
In.	In.		Lb.	$In.^2$	$In.^4$	$In.^3$	$In.^3$	In.	$In.^4$	$In.^3$	$In.^3$	In.	$In.^4$
12×8	0.6250	$5/8$	76.33	22.4	418	69.7	87.1	4.32	222	55.3	65.6	3.14	481
	0.5625	$9/16$	69.48	20.4	387	64.5	79.9	4.35	205	51.3	60.3	3.17	442
	0.5000	$1/2$	62.46	18.4	353	58.9	72.4	4.39	188	46.9	54.7	3.20	401
	0.3750	$3/8$	47.90	14.1	279	46.5	56.5	4.45	149	37.3	42.7	3.26	312
	0.3125	$5/16$	40.35	11.9	239	39.8	47.9	4.49	128	32.0	36.3	3.28	265
	0.2500	$1/4$	32.63	9.59	196	32.6	39.1	4.52	105	26.3	29.6	3.31	216
	0.1875	$3/16$	24.73	7.27	151	25.1	29.8	4.55	81.1	20.3	22.7	3.34	165
12×6	0.6250	$5/8$	67.82	19.9	337	56.2	72.9	4.11	112	37.2	44.5	2.37	286
	0.5625	$9/16$	61.83	18.2	313	52.2	67.1	4.15	104	34.7	41.0	2.39	264
	0.5000	$1/2$	55.66	16.4	287	47.8	60.9	4.19	96.0	32.0	37.4	2.42	241
	0.3750	$3/8$	42.79	12.6	228	38.1	47.7	4.26	77.2	25.7	29.4	2.48	190
	0.3125	$5/16$	36.10	10.6	196	32.6	40.6	4.30	66.6	22.2	25.1	2.51	162
	0.2500	$1/4$	29.23	8.59	161	26.9	33.2	4.33	55.2	18.4	20.6	2.53	132
	0.1875	$3/16$	22.18	6.52	124	20.7	25.4	4.37	42.8	14.3	15.8	2.56	101
12×4	0.6250	$5/8$	59.32	17.4	257	42.8	58.6	3.84	41.8	20.9	25.8	1.55	127
	0.5625	$9/16$	54.17	15.9	240	39.9	54.2	3.88	39.6	19.8	24.0	1.58	119
	0.5000	$1/2$	48.85	14.4	221	36.8	49.4	3.92	36.9	18.5	22.0	1.60	110
	0.3750	$3/8$	37.69	11.1	178	29.6	39.0	4.01	30.5	15.2	17.6	1.66	89.0
	0.3125	$5/16$	31.84	9.36	153	25.5	33.3	4.05	26.6	13.3	15.1	1.69	76.9
	0.2500	$1/4$	25.82	7.59	127	21.1	27.3	4.09	22.3	11.1	12.5	1.71	63.6
	0.1875	$3/16$	19.63	5.77	98.2	16.4	21.0	4.13	17.5	8.75	9.63	1.74	49.3
12×2	0.2500	$1/4$	22.42	6.59	92.2	15.4	21.4	3.74	4.62	4.62	5.38	0.837	15.9
	0.1875	$3/16$	17.08	5.02	72.0	12.0	16.6	3.79	3.76	3.76	4.24	0.865	12.8
10×8	0.6250	$5/8$	67.82	19.9	266	53.2	65.9	3.65	187	46.8	56.4	3.07	367
	0.5625	$9/16$	61.83	18.2	247	49.3	60.6	3.68	174	43.5	52.0	3.09	337
	0.5000	$1/2$	55.66	16.4	226	45.2	55.1	3.72	160	39.9	47.2	3.12	306
	0.3750	$3/8$	42.79	12.6	180	35.9	43.1	3.78	127	31.8	37.0	3.18	239
	0.3125	$5/16$	36.10	10.6	154	30.8	36.7	3.81	109	27.3	31.5	3.21	203
	0.2500	$1/4$	29.23	8.59	127	25.4	30.0	3.84	90.2	22.5	25.8	3.24	166
	0.1875	$3/16$	22.18	6.52	97.9	19.6	23.0	3.87	69.7	17.4	19.7	3.27	127
10×6	0.6250	$5/8$	59.32	17.4	211	42.2	54.2	3.48	93.5	31.2	37.7	2.32	221
	0.5625	$9/16$	54.17	15.9	197	39.3	50.0	3.51	87.5	29.2	34.9	2.34	204
	0.5000	$1/2$	48.85	14.4	181	36.2	45.6	3.55	80.8	26.9	31.9	2.37	187
	0.3750	$3/8$	37.69	11.1	145	29.0	35.9	3.62	65.4	21.8	25.2	2.43	147
	0.3125	$5/16$	31.84	9.36	125	25.0	30.7	3.65	56.5	18.8	21.5	2.46	126
	0.2500	$1/4$	25.82	7.59	103	20.6	25.1	3.69	46.9	15.6	17.7	2.49	103
	0.1875	$3/16$	19.63	5.77	79.8	16.0	19.3	3.72	36.5	12.2	13.6	2.51	79.1
10×5	0.6250	$5/8$	55.06	16.2	183	36.7	48.3	3.37	60.0	24.0	29.3	1.93	157
	0.5625	$9/16$	50.34	14.8	171	34.3	44.7	3.40	56.5	22.6	27.2	1.95	146
	0.5000	$1/2$	45.45	13.4	158	31.6	40.8	3.44	52.5	21.0	25.0	1.98	134
	0.3750	$3/8$	35.13	10.3	128	25.5	32.3	3.51	42.9	17.1	19.9	2.04	10.7
	0.3125	$5/16$	29.72	8.73	110	22.0	27.6	3.55	37.2	14.9	17.0	2.07	91.5
	0.2500	$1/4$	24.12	7.09	91.2	18.2	22.7	3.59	31.1	12.4	14.0	2.09	75.2
	0.1875	$3/16$	18.35	5.39	70.8	14.2	17.4	3.62	24.3	9.71	10.8	2.12	58.0
10×4	0.5625	$9/16$	46.51	13.7	146	29.3	39.4	3.27	32.9	16.4	20.1	1.55	93.8
	0.5000	$1/2$	42.05	12.4	136	27.1	36.1	3.31	30.8	15.4	18.5	1.58	86.9
	0.3750	$3/8$	32.58	9.58	110	22.0	28.7	3.39	25.5	12.8	14.9	1.63	70.4
	0.3125	$5/16$	27.59	8.11	95.5	19.1	24.6	3.43	22.4	11.2	12.8	1.66	60.8

All printed with permission of American Institute of Steel Construction

Structural Tubing--Rectangular: Dimensions and Properties (Continued )

Dimensions				Properties**
Nominal* Size	Wall Thickness		Weight per Ft.	Area	X-X Axis				Y-Y Axis				J
					$I_x$	$S_x$	$Z_x$	$r_x$	$I_y$	$S_y$	$Z_y$	$r_y$
In.	In.		Lb.	In. $^2$	In. $^4$	In. $^3$	In. $^3$	In.	In. $^4$	In. $^3$	In. $^3$	In.	In. $^4$
	0.2500	$\frac{1}{4}$	22.42	6.59	79.3	15.9	20.2	3.47	18.8	9.39	10.6	1.69	50.4
	0.1875	$\frac{3}{16}$	17.08	5.02	61.7	12.3	15.6	3.51	14.8	7.39	8.20	1.72	39.1
10 × 2	0.3750	$\frac{3}{8}$	27.48	8.08	75.4	15.1	21.5	3.06	4.85	4.85	6.05	0.775	16.5
	0.3125	$\frac{5}{16}$	23.34	6.86	66.1	13.2	18.5	3.10	4.42	4.42	5.33	0.802	14.9
	0.2500	$\frac{1}{4}$	19.02	5.59	55.5	11.1	15.4	3.15	3.85	3.85	4.50	0.830	12.8
	0.1875	$\frac{3}{16}$	14.53	4.27	43.7	8.74	11.9	3.20	3.14	3.14	3.56	0.858	10.3
9 × 7	0.6250	$\frac{5}{8}$	59.32	17.4	183	40.6	51.0	3.24	123	35.1	42.8	2.66	248
	0.5625	$\frac{9}{16}$	54.17	15.9	170	37.9	47.1	3.27	115	32.8	39.5	2.69	229
	0.5000	$\frac{1}{2}$	48.85	14.4	157	34.8	42.9	3.30	106	30.2	36.1	2.71	209
	0.3750	$\frac{3}{8}$	37.69	11.1	126	27.9	33.8	3.37	85.1	24.3	28.4	2.77	164
	0.3125	$\frac{5}{16}$	31.84	9.36	108	24.0	28.8	3.40	73.5	21.0	24.3	2.80	140
	0.2500	$\frac{1}{4}$	25.82	7.59	89.4	19.9	23.6	3.43	60.8	17.4	19.9	2.83	114
	0.1875	$\frac{3}{16}$	19.63	5.77	69.2	15.4	18.1	3.46	47.2	13.5	15.3	2.86	87.7
9 × 6	0.6250	$\frac{5}{8}$	55.06	16.2	161	35.8	45.8	3.15	84.5	18.2	34.4	2.28	189
	0.5625	$\frac{9}{16}$	50.34	14.8	150	33.4	42.3	3.19	79.2	26.5	31.9	2.31	175
	0.5000	$\frac{1}{2}$	45.45	13.4	139	30.8	38.7	3.22	73.2	24.4	29.1	2.34	160
	0.3750	$\frac{3}{8}$	35.13	10.3	112	24.8	30.6	3.29	59.4	19.8	23.1	2.40	127
	0.3125	$\frac{5}{16}$	29.72	8.73	96.4	21.4	26.1	3.32	51.4	17.1	19.8	2.43	108
	0.2500	$\frac{1}{4}$	24.12	7.09	79.8	17.7	21.4	3.36	42.7	14.2	16.2	2.46	88.8
	0.1875	$\frac{3}{16}$	18.35	5.39	61.9	13.8	16.5	3.39	33.3	11.1	12.5	2.48	68.2
9 × 5	0.5625	$\frac{9}{16}$	46.51	13.7	130	29.0	37.6	3.09	50.9	20.4	24.7	1.93	126
	0.5000	$\frac{1}{2}$	42.05	12.4	121	26.8	34.4	3.12	47.4	18.9	22.7	1.96	115
	0.3750	$\frac{3}{8}$	32.58	9.58	97.8	21.7	27.3	3.20	38.8	15.5	18.1	2.01	92.2
	0.3125	$\frac{5}{16}$	27.59	8.11	84.6	18.8	23.4	3.23	33.8	13.5	15.6	2.04	79.2
	0.2500	$\frac{1}{4}$	22.42	6.59	70.3	15.6	19.3	3.27	28.2	11.3	12.8	2.07	65.2
	0.1875	$\frac{3}{16}$	17.08	5.02	54.7	12.1	14.8	3.30	22.1	8.84	9.90	2.10	50.2
9 × 3	0.5000	$\frac{1}{2}$	35.24	10.4	84.4	18.8	25.9	2.86	13.7	9.11	11.3	1.15	41.6
	0.3750	$\frac{3}{8}$	27.48	8.08	69.9	15.5	20.9	2.94	11.7	7.79	9.29	1.20	34.9
	0.3125	$\frac{5}{16}$	23.34	6.86	61.0	13.6	18.0	2.98	10.4	6.92	8.08	1.23	30.5
	0.2500	$\frac{1}{4}$	19.02	5.59	51.1	11.4	14.9	3.02	8.84	5.90	6.73	1.26	25.6
	0.1875	$\frac{3}{16}$	14.53	4.27	40.1	8.91	11.5	3.06	7.06	4.70	5.26	1.29	20.1
8 × 6	0.5625	$\frac{9}{16}$	46.51	13.7	112	27.9	35.2	2.86	70.8	23.6	28.8	2.28	147
	0.5000	$\frac{1}{2}$	42.05	12.4	103	25.8	32.2	2.89	65.7	21.9	26.4	2.31	135
	0.3750	$\frac{3}{8}$	32.58	9.58	83.7	20.9	25.6	2.96	53.5	17.8	21.0	2.36	107
	0.3125	$\frac{5}{16}$	27.59	8.11	72.4	18.1	21.9	2.99	46.4	15.5	18.0	2.39	91.3
	0.2500	$\frac{1}{4}$	22.42	6.59	60.1	15.0	18.0	3.02	38.6	12.9	14.8	2.42	74.9
	0.1875	$\frac{3}{16}$	17.08	5.02	46.8	11.7	13.9	3.05	30.1	10.0	11.4	2.45	57.6
8 × 4	0.5625	$\frac{9}{16}$	38.86	11.4	80.5	20.1	26.9	2.65	26.2	13.1	16.2	1.51	69.0
	0.5000	$\frac{1}{2}$	35.24	10.4	75.1	18.8	24.7	2.69	24.6	12.3	15.0	1.54	64.1
	0.3750	$\frac{3}{8}$	27.48	8.08	61.9	15.5	19.9	2.77	20.6	10.3	12.2	1.60	52.2
	0.3125	$\frac{5}{16}$	23.34	6.86	53.9	13.5	17.1	2.80	18.1	9.05	10.5	1.62	45.2
	0.2500	$\frac{1}{4}$	19.02	5.59	45.1	11.3	14.1	2.84	15.3	7.63	8.72	1.65	37.5
	0.1875	$\frac{3}{16}$	14.53	4.27	35.3	8.83	11.0	2.88	12.0	6.02	6.77	1.68	29.1
8 × 3	0.5000	$\frac{1}{2}$	31.84	9.36	61.0	15.3	21.0	2.55	12.1	8.05	10.1	1.14	35.7
	0.3750	$\frac{3}{8}$	24.93	7.33	51.0	12.7	17.0	2.64	10.4	6.92	8.31	1.19	29.9

(Continued )

Structural Tubing--Rectangular: Dimensions and Properties (Continued )

Dimensions				Properties**
Nominal* Size	Wall Thickness		Weight per Ft.	Area	X-X Axis				Y-Y Axis				J
					$I_x$	$S_x$	$Z_x$	$r_x$	$I_y$	$S_y$	$Z_y$	$r_y$
In.	In.		Lb.	$In.^2$	$In.^4$	$In.^3$	$In.^3$	In.	$In.^4$	$In.^3$	$In.^3$	In.	$In.^4$
	0.3125	$5/16$	21.21	6.23	44.7	11.2	14.7	2.68	9.25	6.16	7.24	1.22	26.3
	0.2500	$1/4$	17.32	5.09	37.6	9.40	12.2	2.72	7.90	5.26	6.05	1.25	22.1
	0.1875	$3/16$	13.25	3.89	29.6	7.40	9.49	2.76	6.31	4.21	4.73	1.27	17.3
8 × 2	0.3750	$3/8$	22.37	6.58	40.1	10.0	14.2	2.47	3.85	3.85	4.83	0.765	12.6
	0.3125	$5/16$	19.08	5.61	35.5	8.87	12.3	2.51	3.52	3.52	4.28	0.792	11.4
	0.2500	$1/4$	15.62	4.59	30.1	7.52	10.3	2.56	3.08	3.08	3.63	0.819	9.84
	0.1875	$3/16$	11.97	3.52	23.9	5.97	8.02	2.60	2.52	2.52	2.88	0.847	7.94
7 × 5	0.5000	$1/2$	35.24	10.4	63.5	18.1	23.1	2.48	37.2	14.9	18.2	1.90	79.9
	0.3750	$3/8$	27.48	8.08	52.2	14.9	18.5	2.54	30.8	12.3	14.6	1.95	64.2
	0.3125	$5/16$	23.34	6.86	45.5	13.0	15.9	2.58	26.9	10.8	12.6	1.98	55.3
	0.2500	$1/4$	19.02	5.59	38.0	10.9	13.2	2.61	22.6	9.04	10.4	2.01	45.6
	0.1875	$3/16$	14.53	4.27	29.8	8.50	10.2	2.64	17.7	7.10	8.10	2.04	35.3
7 × 4	0.5000	$1/2$	31.84	9.36	52.9	15.1	19.8	2.38	21.5	10.8	13.3	1.52	53.0
	0.3750	$3/8$	24.93	7.33	44.0	12.6	16.0	2.45	18.1	9.06	10.8	1.57	43.3
	0.3125	$5/16$	21.21	6.23	38.5	11.0	13.8	2.49	16.0	7.98	9.36	1.60	37.5
	0.2500	$1/4$	17.32	5.09	32.3	9.23	11.5	2.52	13.5	6.75	7.78	1.63	31.2
	0.1875	$3/16$	13.25	3.89	25.4	7.26	8.91	2.55	10.7	5.34	6.06	1.66	24.2
7 × 3	0.5000	$1/2$	28.43	8.36	42.3	12.1	16.6	2.25	10.5	6.99	8.84	1.12	29.8
	0.3750	$3/8$	22.37	6.58	35.7	10.2	13.5	2.33	9.08	6.05	7.32	1.18	25.1
	0.3125	$5/16$	19.08	5.61	31.5	9.00	11.8	2.37	8.11	5.41	6.40	1.20	22.0
	0.2500	$1/4$	15.62	4.59	26.6	7.61	9.79	2.41	6.95	4.63	5.36	1.23	18.5
	0.1875	$3/16$	11.97	3.52	21.1	6.02	7.63	2.45	5.57	3.71	4.21	1.26	14.6
7 × 2	0.2500	$1/4$	13.91	4.09	20.9	5.98	8.10	2.26	2.69	2.69	3.19	0.812	8.36
	0.1875	$3/16$	10.70	3.14	16.7	4.77	6.36	2.31	2.21	2.21	2.54	0.839	6.74
6 × 5	0.5000	$1/2$	31.84	9.36	42.9	14.3	18.1	2.14	32.1	12.8	16.0	1.85	62.9
	0.3750	$3/8$	24.93	7.33	35.6	11.9	14.7	2.21	26.8	10.7	12.9	1.91	50.9
	0.3125	$5/16$	21.21	6.23	31.2	10.4	12.7	2.24	23.5	9.40	11.2	1.94	43.9
	0.2500	$1/4$	17.32	5.09	26.2	8.74	10.5	2.27	19.8	7.91	9.26	1.97	36.3
	0.1875	$3/16$	13.25	3.89	20.6	6.87	8.15	2.30	15.6	6.23	7.20	2.00	28.1
6 × 4	0.5000	$1/2$	28.43	8.36	35.3	11.8	15.4	2.06	18.4	9.21	11.5	1.48	42.1
	0.3750	$3/8$	22.37	6.58	29.7	9.90	12.5	2.13	15.6	7.82	9.44	1.54	34.6
	0.3125	$5/16$	19.08	5.61	26.2	8.72	10.9	2.16	13.8	6.92	8.21	1.57	30.1
	0.2500	$1/4$	15.62	4.59	22.1	7.36	9.06	2.19	11.7	5.87	6.84	1.60	25.0
	0.1875	$3/16$	11.97	3.52	17.4	5.81	7.06	2.23	9.32	4.66	5.34	1.63	19.5
6 × 3	0.3750	$3/8$	19.82	5.83	23.8	7.92	10.4	2.02	7.78	5.19	6.34	1.16	20.3
	0.3125	$5/16$	16.96	4.98	21.1	7.03	9.11	2.06	6.98	4.65	5.56	1.18	17.9
	0.2500	$1/4$	13.91	4.09	17.9	5.98	7.62	2.09	6.00	4.00	4.67	1.21	15.1
	0.1875	$3/16$	10.70	3.14	14.3	4.76	5.97	2.13	4.83	3.22	3.68	1.24	11.9
6 × 2	0.3750	$3/8$	17.27	5.08	17.8	5.94	8.33	1.87	2.84	2.84	3.61	0.748	8.72
	0.3125	$5/16$	14.83	4.36	16.0	5.34	7.33	1.92	2.62	2.62	3.22	0.775	7.94
	0.2500	$1/4$	12.21	3.59	13.8	4.60	6.18	1.96	2.31	2.31	2.75	0.802	6.88
	0.1875	$3/16$	9.42	2.77	11.1	3.70	4.88	2.00	1.90	1.90	2.20	0.829	5.56
5 × 4	0.3750	$3/8$	19.82	5.83	18.7	7.50	9.44	1.79	13.2	6.58	8.08	1.50	26.3
	0.3125	$5/16$	16.96	4.98	16.6	6.65	8.24	1.83	11.7	5.85	7.05	1.53	22.9
	0.2500	$1/4$	13.91	4.09	14.1	5.65	6.89	1.86	9.98	4.99	5.90	1.56	19.1
	0.1875	$3/16$	10.70	3.14	11.2	4.49	5.39	1.89	7.96	3.98	4.63	1.59	14.9

All printed with permission of American Institute of Steel Construction

Structural Tubing--Rectangular: Dimensions and Properties (Continued )

Dimensions				Properties**
Nominal* Size	Wall Thickness		Weight per Ft.	Area	X-X Axis				Y-Y Axis				J
					$I_x$	$S_x$	$Z_x$	$r_x$	$I_y$	$S_y$	$Z_y$	$r_y$
In.	In.		Lb.	$In.^2$	$In.^4$	$In.^3$	$In.^3$	In.	$In.^4$	$In.^3$	$In.^3$	In.	$In.^4$
5 × 3	0.5000	$1/2$	21.63	6.36	16.9	6.75	9.20	1.63	7.33	4.88	6.35	1.07	18.2
	0.3750	$3/8$	17.27	5.08	14.7	5.89	7.71	1.70	6.48	4.32	5.35	1.13	15.6
	0.3125	$5/16$	14.83	4.36	13.2	5.27	6.77	1.74	5.85	3.90	4.72	1.16	13.8
	0.2500	$1/4$	12.21	3.59	11.3	4.52	5.70	1.77	5.05	3.37	3.99	1.19	11.7
	0.1875	$3/16$	9.42	2.77	9.06	3.62	4.49	1.81	4.08	2.72	3.15	1.21	9.21
5 × 2	0.3125	$5/16$	12.70	3.73	9.74	3.90	5.31	1.62	2.16	2.16	2.70	0.762	6.24
	0.2500	$1/4$	10.51	3.09	8.48	3.39	4.51	1.66	1.92	1.92	2.32	0.789	5.43
	0.1875	$3/16$	8.15	2.39	6.89	2.75	3.59	1.70	1.60	1.60	1.86	0.816	4.40
4 × 3	0.3125	$5/16$	12.70	3.73	7.45	3.72	4.75	1.41	4.71	3.14	3.88	1.12	9.89
	0.2500	$1/4$	10.51	3.09	6.45	3.23	4.03	1.45	4.10	2.74	3.30	1.15	8.41
	0.1875	$3/16$	8.15	2.39	5.23	2.62	3.20	1.48	3.34	2.23	2.62	1.18	6.67
4 × 2	0.3125	$5/16$	10.58	3.11	5.32	2.66	3.60	1.31	1.71	1.71	2.17	0.743	4.58
	0.2500	$1/4$	8.81	2.59	4.69	2.35	3.09	1.35	1.54	1.54	1.88	0.770	4.01
	0.1875	$3/16$	6.87	2.02	3.87	1.93	2.48	1.38	1.29	1.29	1.52	0.798	3.26
3.5 × 2.5	0.2500	$1/4$	8.81	2.59	3.97	2.27	2.88	1.24	2.33	1.86	2.28	0.948	4.99
	0.1875	$3/16$	6.87	2.02	3.26	1.86	2.31	1.27	1.93	1.54	1.83	0.977	4.02
3 × 2	0.2500	$1/4$	7.11	2.09	2.21	1.47	1.92	1.03	1.15	1.15	1.44	0.742	2.63
	0.1875	$3/16$	5.59	1.64	1.86	1.24	1.57	1.06	0.977	0.977	1.18	0.771	2.16

text_image

Y B t_f R t X X A Y

Aluminum Association Standard I-Beams: Dimensions, Areas, Weights, and Section Properties

Size		Area $^{1}$	Weight $^{2}$	Flange Thickness $t_f$	Web Thickness $t$	Fillet Radius $R$	Section Properties $^{3}$
Depth A	Width B						Axis X-X			Axis Y-Y
							$I$	$S$	$r$	$I$	$S$	$r$
in.	in.	in. $^{2}$	lb/ft	in.	in.	in.	in. $^{4}$	in. $^{3}$	in.	in. $^{4}$	in. $^{3}$	in.
3.00	2.50	1.392	1.637	0.20	0.13	0.25	2.24	1.49	1.27	0.52	0.42	0.61
3.00	2.50	1.726	2.030	0.26	0.15	0.25	2.71	1.81	1.25	0.68	0.54	0.63
4.00	3.00	1.965	2.311	0.23	0.15	0.25	5.62	2.81	1.69	1.04	0.69	0.73
4.00	3.00	2.375	2.793	0.29	0.17	0.25	6.71	3.36	1.68	1.31	0.87	0.74
5.00	3.50	3.146	3.700	0.32	0.19	0.30	13.94	5.58	2.11	2.29	1.31	0.85
6.00	4.00	3.427	4.030	0.29	0.19	0.30	21.99	7.33	2.53	3.10	1.55	0.95
6.00	4.00	3.990	4.692	0.35	0.21	0.30	25.50	8.50	2.53	3.74	1.87	0.97
7.00	4.50	4.932	5.800	0.38	0.23	0.30	42.89	12.25	2.95	5.78	2.57	1.08
8.00	5.00	5.256	6.181	0.35	0.23	0.30	59.69	14.92	3.37	7.30	2.92	1.18
8.00	5.00	5.942	7.023	0.41	0.25	0.30	67.78	16.94	3.37	8.55	3.42	1.20
9.00	5.50	7.110	8.361	0.44	0.27	0.30	102.02	22.67	3.79	12.22	4.44	1.31
10.00	6.00	7.352	8.646	0.41	0.25	0.40	132.09	26.42	4.24	14.78	4.93	1.42
10.00	6.00	8.747	10.286	0.50	0.29	0.40	155.79	31.16	4.22	18.03	6.01	1.44
12.00	7.00	9.925	11.672	0.47	0.29	0.40	255.57	42.60	5.07	26.90	7.69	1.65
12.00	7.00	12.153	14.292	0.62	0.31	0.40	317.33	52.89	5.11	35.48	10.14	1.71

1 Areas listed are based on nominal dimensions.

2 Weights per foot area are based on nominal dimensions and a density of 0.098 pound per cubic inch which is the density of alloy 6061.

3 I ¼ moment of inertia; S ¼ section modulus; r ¼ radius of gyration.

4 Users are encouraged to ascertain current availability of particular structural shapes through inquires to their suppliers.

Printed with permission of the Aluminum Association from 1988 Ed., Aluminum Standards and Data