Appendix A — Geometric Properties of Standard Beams

A.1 Wide-Flange (W) Shapes. US Customary Units.

Label	Area, A (in.²)	Depth, d (in.)	Flange Width, b_f (in.)	Flange Thickness, t_f (in.)	Web Thickness, t_w (in.)	I_x (in.⁴)	S_x (in.³)	r_x (in.)	I_y (in.⁴)	S_y (in.³)	r_y (in.)
W40x431	127	41.3	16.2	2.36	1.34	34800	1690	16.6	1690	208	3.65
W40x297	87.3	39.8	15.8	1.65	0.930	23200	1170	16.3	1090	138	3.54
W40x264	77.4	40.0	11.9	1.73	0.960	19400	971	15.8	493	82.6	2.52
W36x487	143	39.3	17.1	2.68	1.50	36000	1830	15.8	2250	263	3.96
W36x247	72.5	36.7	16.5	1.35	0.800	16700	913	15.2	1010	123	3.74
W36x210	61.9	36.7	12.2	1.36	0.830	13200	719	14.6	411	67.5	2.58
W30x326	95.9	32.4	15.4	2.05	1.14	16800	1040	13.2	1240	162	3.60
W30x173	50.9	30.4	15.0	1.07	0.655	8230	541	12.7	598	79.8	3.42
W30x99	29.0	29.7	10.5	0.670	0.520	3990	269	11.7	128	24.5	2.10
W24x279	81.9	26.7	13.3	2.09	1.16	9600	718	10.8	823	124	3.17
W24x131	38.6	24.5	12.9	0.960	0.605	4020	329	10.2	340	53.0	2.97
W24x84	24.7	24.1	9.02	0.770	0.470	2370	196	9.79	94.4	20.9	1.95
W21x201	59.3	23.0	12.6	1.63	0.910	5310	461	9.47	542	86.1	3.02
W21x122	35.9	21.7	12.4	0.960	0.600	2960	273	9.09	305	49.2	2.92
W21x68	20.0	21.1	8.27	0.685	0.430	1480	140	8.60	64.7	15.7	1.80
W18x130	38.3	19.3	11.2	1.20	0.670	2460	256	8.03	278	49.9	2.70
W18x76	22.3	18.2	11.0	0.680	0.425	1330	146	7.73	152	27.6	2.61
W18x40	11.8	17.9	6.02	0.525	0.315	612	68.4	7.21	19.1	6.35	1.27
W16x67	19.6	16.3	10.2	0.665	0.395	954	117	6.96	119	23.2	2.46
W16x40	11.8	16.0	7.00	0.505	0.305	518	64.7	6.63	28.9	8.25	1.57
W16x31	9.13	15.9	5.53	0.440	0.275	375	47.2	6.41	12.4	4.49	1.17
W14x90	26.5	14.0	14.5	0.710	0.440	999	143	6.14	362	49.9	3.70
W14x53	15.6	13.9	8.06	0.660	0.370	541	77.8	5.89	57.7	14.3	1.92
W14x34	10.0	14.0	6.75	0.455	0.285	340	48.6	5.83	23.3	6.91	1.53
W12x106	31.2	12.9	12.2	0.990	0.610	933	145	5.47	301	49.3	3.11
W12x53	15.6	12.1	10.0	0.575	0.345	425	70.6	5.23	95.8	19.2	2.48
W12x26	7.65	12.2	6.49	0.380	0.230	204	33.4	5.17	17.3	5.34	1.51

A.2 Wide-Flange (W) Shapes. SI Units.

Label	Area, A (mm²)	Depth, d (mm)	Flange Width, b_f (mm)	Flange Thickness, t_f (mm)	Web Thickness, t_w (mm)	I_x (x10⁶ mm⁴)	S_x (x10³ mm³)	r_x (mm)	I_y (x10⁶ mm⁴)	S_y (x10³ mm³)	r_y (mm)
W1000x642	81900	1050	411	59.9	34.0	14500	27700	422	703	3410	92.7
W1000x443	56300	1010	401	41.9	23.6	9660	19200	414	454	2260	89.9
W1000x393	49900	1020	302	43.9	24.4	8070	15900	401	205	1350	64.0
W920x725	92300	998	434	68.1	38.1	15000	30000	401	937	4310	101
W920x368	46800	932	419	34.3	20.3	6950	15000	386	420	2020	95.0
W920x313	39900	932	310	34.5	21.1	5490	11800	371	171	1110	65.5
W760x484	61900	823	391	29.0	52.1	6990	17000	335	516	2650	91.4
W760x257	32800	772	381	27.2	16.6	3430	8870	323	249	1310	86.9
W760x147	18700	754	267	17.0	13.2	1660	4410	297	53.3	401	53.3
W610x415	52800	678	338	53.1	29.5	4000	11800	274	343	2030	80.5
W610x195	24900	622	328	24.4	15.4	1670	5390	259	142	869	75.4
W610x125	15900	612	229	19.6	11.9	986	3210	249	39.3	342	49.5
W530x300	38300	584	320	41.4	23.1	2210	7550	241	226	1410	76.7
W530x182	23200	551	315	24.4	15.2	1230	4470	231	127	806	74.2
W530x101	12900	536	210	17.4	10.98	616	2290	218	26.9	257	45.7
W460x193	24700	490	284	30.5	17.0	1020	4200	204	116	818	68.6
W460x113	14400	462	279	17.3	10.8	554	2390	196	63.3	452	66.3
W460x60	7610	455	153	8.00	13.3	255	1120	183	7.95	104	32.3
W410x100	12600	414	259	16.9	10.0	397	1920	177	49.5	380	62.5
W410x60	7610	406	178	12.8	7.75	216	1060	168	12.0	135	39.9
W410x46.1	5890	404	140	11.2	6.99	156	773	163	5.16	73.6	29.7
W360x134	17100	356	368	18.0	11.2	416	2340	156	151	818	94.0
W360x79	10100	353	205	16.8	9.40	225	1270	150	24.0	234	48.8
W360x51	6450	356	171	11.6	7.24	142	796	148	9.70	113	38.9
W310x158	20100	328	310	25.1	15.5	388	2380	139	125	808	79.0
W310x79	10100	307	254	14.6	8.76	177	1160	133	39.9	315	63.0
W310x38.7	4940	310	165	9.65	5.84	64.9	547	131	7.20	87.5	38.4

A.3 WT Shapes. US Customary Units.

Label	Area, A (in.²)	Depth, d (in.)	Flange Width, b_f (in.)	Flange Thickness, t_f (in.)	Web Thickness, t_w (in.)	\(\bar{y}\) ( in. below top)	I_x (in.⁴)	S_x (in.³)	r_x (in.)	I_y (in.⁴)	S_y (in.³)	r_y (in.)
WT22x184	54.0	22.2	16.0	2.17	1.22	5.57	2380	143	6.64	675	84.4	3.54
WT22x145	42.6	21.8	15.8	1.58	0.865	5.26	1830	111	6.54	521	65.9	3.49
WT22x115	33.9	21.5	15.8	1.22	0.710	5.17	1440	88.6	6.53	398	50.5	3.43
WT18x143	42.0	18.9	12.3	1.93	1.06	5.02	1360	98.0	5.69	301	48.9	2.68
WT18x105	30.9	18.3	12.2	1.36	0.830	4.87	985	73.1	5.65	206	33.8	2.58
WT18x85	25.0	18.1	12.0	1.10	0.680	4.73	786	58.9	5.61	160	26.6	2.53
WT15x117.5	34.7	15.7	15.1	1.50	0.830	3.41	674	55.1	4.41	427	5.8	3.51
WT15x74	21.8	15.3	10.5	1.18	0.650	3.84	466	40.6	4.63	114	21.7	2.28
WT15x58	17.1	15.0	10.5	0.850	0.565	3.94	373	33.7	4.67	82.1	15.6	2.19
WT13.5x89	26.3	13.9	14.1	1.19	0.725	3.04	414	38.2	3.97	278	39.4	3.25
WT13.5x57	16.8	13.6	10.1	0.930	0.570	3.42	289	28.3	4.15	79.3	15.8	2.18
WT13.5x47	13.8	13.5	10.0	0.745	0.490	3.41	239	23.8	4.16	62.0	12.4	2.12
WT12x73	21.5	12.4	12.9	1.09	0.650	2.66	264	27.2	3.50	195	30.3	3.01
WT12x52	15.3	12.0	12.8	0.750	0.500	2.59	189	20.0	3.51	130	20.3	2.91
WT12x42	12.4	12.1	9.02	0.770	0.470	2.97	166	18.3	3.67	47.2	10.5	1.95
WT10.5x66	19.4	10.9	12.4	1.04	0.650	2.33	181	21.1	3.06	166	26.7	2.93
WT10.5x50.5	14.9	10.7	12.3	0.800	0.500	2.18	135	15.8	3.01	124	20.2	2.89
WT10.5x34	10.0	10.6	8.27	0.685	0.430	2.59	103	12.9	3.20	32.4	7.83	1.80
WT9x79	23.2	9.86	11.3	1.44	0.810	2.17	160	20.8	2.63	174	30.7	2.74
WT9x53	15.6	9.37	11.2	0.940	0.590	1.97	104	14.1	2.59	110	19.7	2.66
WT9x38	11.1	9.11	11.0	0.680	0.425	1.80	71.8	9.83	2.54	76.2	13.8	2.61
WT7x88	25.9	7.61	15.7	1.31	0.830	1.43	80.5	13.0	1.76	419	53.5	4.02
WT7x60	17.7	7.24	14.7	0.940	0.590	1.24	51.7	8.61	1.71	247	33.7	3.74
WT7x41	12.0	7.16	10.1	0.855	0.510	1.39	41.2	7.14	1.85	74.1	14.6	2.48
WT5x44	13.0	5.42	10.3	0.990	0.605	1.06	20.8	4.77	1.27	89.9	17.4	2.63
WT5x30	8.84	5.11	10.1	0.680	0.420	0.884	12.9	3.04	1.21	58.1	11.5	2.57
WT5x15	4.42	5.24	5.81	0.510	0.300	1.10	9.28	2.24	1.45	8.35	2.87	1.37

A.4 WT Shapes. SI Units.

Label	Area, A (mm²)	Depth, d (mm)	Flange Width, b_f (mm)	Flange Thickness, t_f (mm)	Web Thickness, t_w (mm)	\(\bar{y}\) (mm below top)	I_x (x10⁶ mm⁴)	S_x (x10³ mm³)	r_x (mm)	I_y (x10⁶ mm⁴)	S_y (x10³ mm³)	r_y (mm)
WT550x274	34800	564	406	50.0	27.9	141	991	2340	169	281	1380	89.9
WT550x216.5	27500	554	401	40.1	22.0	134	762	1820	166	217	1080	88.6
WT550x171.5	21900	546	401	31.0	18.0	131	599	1450	166	166	828	87.1
WT460x212.5	27100	480	312	49.0	26.9	128	566	1610	145	125	801	68.1
WT460x156.5	19900	465	310	34.5	21.1	124	410	1200	144	85.7	554	65.5
WT460x126.5	16100	460	305	27.9	17.3	120	327	965	142	66.6	436	64.3
WT380x175	22400	399	384	38.1	21.1	86.6	281	903	112	178	931	89.2
WT380x110	14100	389	267	30.0	16.5	97.5	194	665	118	47.5	356	57.9
WT380x86.5	11000	381	267	21.6	14.4	100	155	552	119	34.2	256	55.6
WT345x132.5	17000	353	358	30.2	18.4	77.2	172	626	101	116	646	82.6
WT345x85	10800	345	257	23.6	14.5	86.9	120	464	105	33.0	259	55.4
WT345x70	8900	343	254	18.9	12.4	86.6	99.5	390	106	25.8	203	53.8
WT305x108.5	13900	315	328	27.7	16.5	67.6	110	446	88.9	81.2	497	76.5
WT305x77.5	9870	305	325	19.1	12.7	65.8	78.7	328	89.2	54.1	333	73.9
WT305x62.5	8000	307	229	19.6	11.9	75.4	69.1	300	93.2	19.6	172	49.5
WT265x98	12500	277	315	26.4	16.5	59.2	75.3	346	77.7	69.1	438	74.4
WT265x75	9610	272	312	20.3	12.7	55.4	56.2	259	76.5	51.6	331	73.4
WT265x50.5	6450	269	210	17.4	10.9	65.8	42.9	211	81.3	13.5	128	45.7
WT230x117.5	15000	250	287	36.6	20.6	55.1	66.6	341	66.8	72.4	503	69.6
WT230x79	10100	238	284	23.9	15.0	50.0	43.3	231	65.8	45.8	323	67.6
WT230x56.5	7160	231	279	17.3	10.8	45.7	29.9	161	64.5	31.7	226	66.3
WT180x131	16700	193	399	33.3	21.1	36.3	33.5	213	44.7	174	877	102
WT180x89.5	11400	184	373	23.9	15.0	31.5	21.5	141	43.4	103	552	95.0
WT180x61	7740	182	257	21.7	13.0	35.3	17.1	117	47.0	30.8	239	63.0
WT125x65.5	8390	138	262	25.1	15.4	26.9	8.66	78.2	32.3	37.2	285	66.8
WT125x44.5	5700	130	257	17.3	10.7	22.5	5.37	49.8	30.7	24.2	188	65.3
WT125x224	2850	133	148	13.0	7.62	27.9	3.86	36.7	36.8	3.48	47.0	34.8