Long products - Channels - Taper flange channels UPN - S355 - 4. Buckling resistance moment UPN

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Section designation	C₁⁽¹⁾	Buckling resistance moment M_b,Rd (kNm)for length between lateral restraints, L (m)																	Second moment of area Axis y-y
Cross-section resistance (kNm)																			I_y
Classification		1.0	1.5	2.0	2.5	3.0	3.5	4.0	5.0	6.0	7.0	8.0	9.0	10.0	11.0	12.0	13.0	14.0	cm⁴
UPN 400	1.00	428	377	327	286	253	226	204	171	148	130	117	106	96.8	89.3	83.0	77.5	72.7	20,400
	1.13	428	398	350	310	276	248	225	189	162	142	128	116	107	98.4	91.5	85.6	80.4
M_c,y,Rd = 428	1.35	428	426	383	345	312	283	258	218	188	165	146	133	122	113	105	98.7	92.8
M_c,z,Rd = 65.6	1.50	428	428	402	365	333	304	279	238	206	181	160	143	132	122	114	107	101
	1.77	428	428	428	396	366	338	314	271	237	209	186	167	150	138	129	122	115
	2.00	428	428	428	418	390	364	339	297	262	233	208	187	169	154	141	133	126
Class = 1	2.50	428	428	428	428	428	408	386	346	311	281	254	231	211	193	177	162	150
UPN 380	1.00	355	301	258	223	195	173	156	130	111	97.7	87.2	78.9	72.1	66.5	61.7	57.5	54.0	15,800
	1.13	359	320	277	242	214	190	171	142	122	107	95.9	86.9	79.5	73.4	68.2	63.7	59.8
M_c,y,Rd = 359	1.35	359	345	306	272	243	218	198	165	141	122	109	99.6	91.4	84.6	78.7	73.6	69.2
M_c,z,Rd = 52.5	1.50	359	359	322	290	261	236	215	180	154	134	118	108	99.1	91.8	85.5	80.1	75.3
	1.77	359	359	347	317	289	265	243	207	179	156	137	122	112	104	97.1	91.2	85.9
	2.00	359	359	359	336	310	287	265	228	199	174	154	137	123	114	106	100	94.4
Class = 1	2.50	359	359	359	359	347	325	306	270	239	213	191	171	155	140	127	118	112
UPN 350	1.00	320	272	234	203	179	160	145	122	105	92.9	83.3	75.6	69.2	63.9	59.4	55.5	52.1	12,800
	1.13	326	289	252	221	196	176	160	134	115	102	91.4	83.1	76.3	70.5	65.6	61.3	57.6
M_c,y,Rd = 326	1.35	326	312	278	248	223	202	184	155	134	117	104	95.1	87.5	81.1	75.6	70.8	66.6
M_c,z,Rd = 50.8	1.50	326	325	293	264	239	218	200	170	146	128	113	103	94.7	87.9	82.0	77.0	72.5
	1.77	326	326	315	289	265	244	226	194	169	149	132	118	107	99.5	93.1	87.4	82.5
	2.00	326	326	326	306	284	264	245	214	188	166	148	133	120	109	102	95.9	90.6
Class = 1	2.50	326	326	326	326	317	299	282	251	225	202	182	165	150	136	125	114	107
UPN 320	1.00	285	246	215	190	170	154	141	120	105	93.4	84.2	76.8	70.6	65.4	60.9	57.0	53.6	10,900
	1.13	285	260	230	206	185	169	155	132	116	102	92.1	84.2	77.5	71.9	67.1	62.9	59.2
M_c,y,Rd = 285	1.35	285	279	252	229	209	192	177	153	134	119	106	95.8	88.5	82.3	76.9	72.3	68.2
M_c,z,Rd = 52.4	1.50	285	285	265	243	223	206	191	166	146	130	116	105	95.5	89.0	83.3	78.3	73.9
	1.77	285	285	284	263	245	229	214	189	168	150	135	122	111	102	94.0	88.6	83.8
	2.00	285	285	285	278	261	245	231	206	185	166	151	137	125	115	105	97.1	91.6
Class = 1	2.50	285	285	285	285	285	275	262	238	218	199	182	167	154	142	132	122	113
UPN 300	1.00	222	190	164	143	127	114	103	87.1	75.5	66.7	59.9	54.4	49.8	46.0	42.8	40.0	37.6	8,030
	1.13	224	201	176	156	139	125	114	95.9	82.8	72.9	65.6	59.7	54.9	50.8	47.2	44.2	41.6
M_c,y,Rd = 224	1.35	224	217	194	174	157	143	131	111	95.9	84.1	74.7	68.3	62.9	58.3	54.4	51.0	48.0
M_c,z,Rd = 46.2	1.50	224	224	204	185	169	154	142	121	105	92.2	81.8	73.7	68.0	63.2	59.0	55.4	52.2
	1.77	224	224	220	202	186	172	160	138	121	107	95.3	85.4	77.0	71.4	66.8	62.8	59.3
	2.00	224	224	224	214	199	186	173	152	134	119	107	96.1	86.9	78.9	73.0	68.8	65.0
Class = 1	2.50	224	224	224	224	221	209	198	178	160	144	131	119	108	99.0	90.8	83.5	77.0
UPN 280	1.00	184	156	134	117	104	93.1	84.4	71.3	61.8	54.7	49.1	44.6	40.9	37.8	35.1	32.8	30.8	6,280
	1.13	189	166	145	128	114	102	93.0	78.4	67.7	59.8	53.8	49.0	45.0	41.6	38.8	36.3	34.1
M_c,y,Rd = 189	1.35	189	180	160	143	129	117	107	90.8	78.5	68.7	61.4	56.1	51.6	47.9	44.7	41.9	39.4
M_c,z,Rd = 38.7	1.50	189	187	169	153	139	127	116	99.2	86.0	75.4	66.8	60.5	55.9	51.9	48.5	45.5	42.8
	1.77	189	189	182	167	154	142	131	114	99.2	87.6	77.9	69.7	63.0	58.7	54.9	51.6	48.7
	2.00	189	189	189	177	165	153	143	125	110	97.8	87.3	78.5	70.9	64.3	60.1	56.6	53.5
Class = 1	2.50	189	189	189	189	184	173	164	147	132	119	107	97.3	88.5	80.8	74.1	68.0	63.0
UPN 260	1.00	150	127	109	94.7	83.8	75.2	68.2	57.7	50.0	44.3	39.8	36.1	33.1	30.6	28.5	26.6	25.0	4,820
	1.13	157	135	117	103	91.9	82.7	75.2	63.4	54.8	48.5	43.7	39.8	36.5	33.8	31.4	29.4	27.7
M_c,y,Rd = 157	1.35	157	147	130	116	105	94.9	86.7	73.5	63.4	55.5	49.8	45.5	41.9	38.9	36.2	34.0	32.0
M_c,z,Rd = 32.5	1.50	157	153	137	124	112	103	94.1	80.3	69.5	60.9	54.0	49.2	45.4	42.1	39.4	36.9	34.8
	1.77	157	157	149	136	125	115	107	92.1	80.4	70.8	62.9	56.3	51.2	47.7	44.6	42.0	39.6
	2.00	157	157	156	145	134	125	116	101	89.3	79.2	70.6	63.4	57.2	52.1	48.9	46.0	43.5
Class = 1	2.50	157	157	157	157	150	142	134	120	107	96.3	86.9	78.7	71.6	65.3	59.7	54.8	51.2
UPN 240	1.00	119	99.9	85.4	74.3	65.7	58.9	53.4	45.1	39.2	34.7	31.1	28.3	25.9	23.9	22.3	20.8	19.5	3,600
	1.13	125	107	92.4	81.1	72.1	64.8	58.8	49.6	42.8	38.0	34.2	31.1	28.6	26.4	24.6	23.0	21.6
M_c,y,Rd = 127	1.35	127	116	103	91.6	82.3	74.5	67.9	57.5	49.5	43.3	39.1	35.7	32.8	30.4	28.4	26.6	25.0
M_c,z,Rd = 26.9	1.50	127	122	109	97.9	88.6	80.7	73.9	62.9	54.3	47.5	42.1	38.6	35.6	33.0	30.8	28.9	27.2
	1.77	127	127	118	108	98.8	90.9	83.9	72.2	62.9	55.3	49.0	43.7	40.2	37.4	35.0	32.9	31.0
	2.00	127	127	125	115	106	98.6	91.7	79.8	70.0	61.9	55.1	49.3	44.4	40.9	38.4	36.1	34.1
Class = 1	2.50	127	127	127	127	120	113	106	94.4	84.3	75.5	68.0	61.4	55.7	50.7	46.3	42.5	40.3
UPN 220	1.00	95.2	79.6	68.0	59.2	52.4	47.1	42.7	36.2	31.4	27.8	25.0	22.7	20.8	19.3	17.9	16.7	15.7	2,690
	1.13	100	85.3	73.7	64.7	57.6	51.8	47.1	39.7	34.3	30.5	27.5	25.0	23.0	21.3	19.8	18.5	17.4
M_c,y,Rd = 104	1.35	104	93.2	82.2	73.3	65.8	59.6	54.4	46.0	39.7	34.7	31.4	28.7	26.4	24.5	22.8	21.4	20.1
M_c,z,Rd = 22.8	1.50	104	97.7	87.2	78.4	71.0	64.7	59.2	50.4	43.5	38.1	33.9	31.0	28.6	26.6	24.8	23.3	21.9
	1.77	104	104	94.9	86.6	79.3	73.0	67.4	58.0	50.4	44.3	39.3	35.0	32.4	30.1	28.2	26.5	25.0
	2.00	104	104	100	92.5	85.5	79.3	73.7	64.1	56.2	49.6	44.2	39.5	35.5	33.0	30.9	29.1	27.5
Class = 1	2.50	104	104	104	103	96.5	90.8	85.5	76.0	67.8	60.7	54.6	49.3	44.7	40.6	37.0	34.2	32.4
UPN 200	1.00	72.6	60.3	51.4	44.7	39.5	35.5	32.2	27.3	23.7	21.0	18.8	17.1	15.7	14.5	13.5	12.6	11.8	1,910
	1.13	76.5	64.8	55.8	48.9	43.5	39.1	35.5	29.9	25.9	23.0	20.7	18.8	17.3	16.0	14.9	13.9	13.1
M_c,y,Rd = 80.9	1.35	80.9	71.1	62.5	55.5	49.8	45.0	41.0	34.6	29.8	26.2	23.7	21.6	19.9	18.5	17.2	16.1	15.2
M_c,z,Rd = 18.4	1.50	80.9	74.7	66.4	59.6	53.8	48.9	44.7	37.9	32.7	28.5	25.6	23.4	21.6	20.0	18.7	17.5	16.5
	1.77	80.9	80.1	72.5	66.0	60.3	55.4	51.0	43.7	37.9	33.2	29.4	26.4	24.4	22.7	21.3	20.0	18.8
	2.00	80.9	80.9	76.8	70.7	65.2	60.3	55.9	48.4	42.3	37.3	33.1	29.5	26.7	24.9	23.3	21.9	20.7
Class = 1	2.50	80.9	80.9	80.9	78.8	73.9	69.4	65.2	57.7	51.3	45.8	41.0	36.9	33.4	30.3	27.6	25.9	24.5
UPN 180	1.00	55.8	46.4	39.6	34.6	30.7	27.6	25.1	21.3	18.5	16.4	14.8	13.4	12.3	11.4	10.6	9.88	9.28	1,350
	1.13	59.0	49.9	43.1	37.9	33.7	30.4	27.6	23.3	20.3	18.0	16.2	14.8	13.6	12.6	11.7	10.9	10.3
M_c,y,Rd = 63.5	1.35	63.2	54.9	48.4	43.0	38.7	35.0	32.0	27.1	23.3	20.5	18.6	17.0	15.6	14.5	13.5	12.7	11.9
M_c,z,Rd = 15.2	1.50	63.5	57.8	51.5	46.2	41.8	38.1	34.9	29.6	25.6	22.3	20.1	18.4	16.9	15.7	14.7	13.8	13.0
	1.77	63.5	62.1	56.3	51.3	46.9	43.1	39.8	34.2	29.7	26.0	23.0	20.7	19.2	17.9	16.7	15.7	14.8
	2.00	63.5	63.5	59.7	55.0	50.8	47.0	43.6	37.9	33.1	29.2	25.9	23.1	21.0	19.5	18.3	17.2	16.3
Class = 1	2.50	63.5	63.5	63.5	61.4	57.7	54.2	50.9	45.1	40.1	35.9	32.2	29.0	26.2	23.8	21.6	20.3	19.3
UPN 160	1.00	42.0	34.9	29.9	26.1	23.2	20.9	19.0	16.2	14.1	12.5	11.2	10.2	9.37	8.66	8.05	7.53	7.07	925
	1.13	44.5	37.6	32.6	28.6	25.5	23.0	21.0	17.7	15.4	13.7	12.4	11.3	10.3	9.57	8.91	8.34	7.84
M_c,y,Rd = 49.0	1.35	47.9	41.6	36.6	32.6	29.3	26.6	24.3	20.5	17.7	15.6	14.1	12.9	11.9	11.0	10.3	9.65	9.08
M_c,z,Rd = 12.5	1.50	49.0	43.8	39.0	35.1	31.7	28.9	26.5	22.5	19.4	17.0	15.3	14.0	12.9	12.0	11.2	10.5	9.89
	1.77	49.0	47.2	42.8	39.0	35.7	32.8	30.2	26.0	22.6	19.8	17.5	15.8	14.6	13.6	12.7	12.0	11.3
	2.00	49.0	49.0	45.5	41.8	38.6	35.8	33.2	28.8	25.2	22.2	19.7	17.6	16.0	14.9	14.0	13.1	12.4
Class = 1	2.50	49.0	49.0	49.0	46.9	44.0	41.3	38.8	34.4	30.6	27.3	24.5	22.0	19.9	18.0	16.4	15.5	14.7
UPN 140	1.00	30.8	25.7	22.0	19.3	17.2	15.6	14.2	12.1	10.5	9.35	8.42	7.66	7.03	6.49	6.04	5.65	5.30	605
	1.13	32.6	27.7	24.0	21.2	19.0	17.1	15.6	13.2	11.5	10.3	9.26	8.44	7.75	7.18	6.68	6.25	5.88
M_c,y,Rd = 36.6	1.35	35.2	30.6	27.0	24.2	21.8	19.8	18.1	15.3	13.2	11.7	10.6	9.69	8.92	8.28	7.72	7.24	6.81
M_c,z,Rd = 10.0	1.50	36.6	32.3	28.9	26.0	23.6	21.5	19.7	16.8	14.5	12.7	11.5	10.5	9.68	8.99	8.39	7.87	7.42
	1.77	36.6	34.9	31.7	28.9	26.5	24.4	22.5	19.4	16.9	14.8	13.1	11.8	11.0	10.2	9.55	8.97	8.46
	2.00	36.6	36.6	33.7	31.1	28.7	26.6	24.8	21.5	18.8	16.6	14.8	13.2	12.0	11.2	10.5	9.86	9.31
Class = 1	2.50	36.6	36.6	36.6	34.8	32.7	30.8	28.9	25.7	22.9	20.4	18.3	16.5	14.9	13.5	12.3	11.6	11.0
UPN 120	1.00	21.3	17.8	15.4	13.5	12.1	10.9	9.99	8.53	7.44	6.61	5.95	5.42	4.97	4.60	4.28	4.00	3.76	364
	1.13	22.6	19.2	16.8	14.9	13.3	12.1	11.0	9.34	8.15	7.26	6.55	5.97	5.49	5.08	4.73	4.43	4.16
M_c,y,Rd = 25.8	1.35	24.5	21.3	18.9	16.9	15.3	13.9	12.7	10.8	9.36	8.27	7.50	6.85	6.32	5.86	5.47	5.12	4.82
M_c,z,Rd = 7.53	1.50	25.5	22.5	20.2	18.2	16.6	15.1	13.9	11.9	10.3	8.99	8.10	7.42	6.85	6.36	5.94	5.58	5.25
	1.77	25.8	24.4	22.2	20.3	18.6	17.2	15.9	13.7	11.9	10.5	9.28	8.38	7.76	7.22	6.76	6.35	5.99
	2.00	25.8	25.6	23.6	21.8	20.2	18.7	17.4	15.2	13.3	11.8	10.4	9.34	8.48	7.91	7.41	6.98	6.59
Class = 1	2.50	25.8	25.8	25.8	24.5	23.0	21.7	20.4	18.1	16.1	14.4	13.0	11.7	10.6	9.60	8.75	8.23	7.80
UPN 100	1.00	14.1	11.9	10.3	9.09	8.14	7.37	6.74	5.76	5.03	4.47	4.03	3.67	3.37	3.11	2.90	2.71	2.54	206
	1.13	15.0	12.8	11.2	9.98	8.96	8.12	7.42	6.31	5.50	4.91	4.43	4.04	3.71	3.44	3.20	3.00	2.82
M_c,y,Rd = 17.4	1.35	16.3	14.3	12.7	11.4	10.3	9.37	8.59	7.31	6.32	5.59	5.07	4.64	4.27	3.97	3.70	3.47	3.26
M_c,z,Rd = 5.75	1.50	17.0	15.1	13.5	12.2	11.1	10.2	9.37	8.01	6.94	6.08	5.48	5.02	4.63	4.31	4.02	3.77	3.56
	1.77	17.4	16.3	14.9	13.6	12.5	11.6	10.7	9.24	8.06	7.08	6.28	5.67	5.25	4.89	4.57	4.30	4.06
	2.00	17.4	17.2	15.9	14.7	13.6	12.6	11.8	10.2	8.99	7.95	7.07	6.32	5.73	5.35	5.02	4.72	4.46
Class = 1	2.50	17.4	17.4	17.4	16.5	15.5	14.6	13.8	12.2	10.9	9.77	8.78	7.91	7.16	6.50	5.93	5.57	5.28
UPN 80	1.00	9.37	8.01	7.02	6.24	5.62	5.11	4.69	4.03	3.53	3.15	2.84	2.59	2.38	2.20	2.05	1.92	1.81	106
	1.13	9.97	8.65	7.64	6.84	6.18	5.63	5.17	4.43	3.86	3.45	3.12	2.85	2.62	2.43	2.27	2.12	2.00
M_c,y,Rd = 11.5	1.35	10.8	9.57	8.59	7.77	7.08	6.49	5.98	5.13	4.47	3.94	3.56	3.26	3.01	2.80	2.61	2.45	2.31
M_c,z,Rd = 4.22	1.50	11.3	10.1	9.15	8.35	7.65	7.04	6.51	5.61	4.90	4.32	3.84	3.53	3.26	3.04	2.84	2.67	2.51
	1.77	11.5	10.9	10.0	9.26	8.57	7.96	7.40	6.45	5.67	5.02	4.48	4.02	3.69	3.44	3.22	3.03	2.86
	2.00	11.5	11.5	10.7	9.93	9.26	8.66	8.10	7.13	6.31	5.62	5.03	4.53	4.09	3.76	3.53	3.32	3.14
Class = 1	2.50	11.5	11.5	11.5	11.1	10.5	9.94	9.41	8.45	7.60	6.86	6.21	5.63	5.13	4.68	4.29	3.94	3.71
UPN 65	1.00	6.38	5.52	4.87	4.36	3.95	3.61	3.32	2.86	2.52	2.25	2.03	1.86	1.71	1.58	1.47	1.38	1.30	57.5
	1.13	6.78	5.94	5.30	4.77	4.34	3.97	3.66	3.15	2.76	2.46	2.23	2.04	1.88	1.74	1.63	1.53	1.44
M_c,y,Rd = 7.70	1.35	7.33	6.56	5.93	5.40	4.95	4.56	4.22	3.65	3.20	2.83	2.54	2.33	2.15	2.00	1.87	1.76	1.66
M_c,z,Rd = 3.33	1.50	7.64	6.91	6.31	5.79	5.34	4.94	4.58	3.98	3.50	3.10	2.77	2.52	2.33	2.17	2.03	1.91	1.80
	1.77	7.70	7.44	6.89	6.40	5.96	5.56	5.19	4.57	4.04	3.60	3.23	2.91	2.64	2.45	2.30	2.17	2.05
	2.00	7.70	7.70	7.30	6.84	6.41	6.02	5.66	5.03	4.48	4.02	3.62	3.28	2.97	2.71	2.51	2.37	2.25
Class = 1	2.50	7.70	7.70	7.70	7.60	7.22	6.87	6.53	5.91	5.36	4.87	4.44	4.05	3.71	3.40	3.13	2.89	2.67
UPN 50	1.00	3.94	3.45	3.07	2.77	2.52	2.31	2.14	1.85	1.64	1.47	1.33	1.21	1.12	1.04	0.969	0.908	0.855	26.4
	1.13	4.17	3.70	3.33	3.02	2.76	2.54	2.35	2.04	1.80	1.60	1.45	1.33	1.23	1.14	1.07	1.00	0.944
M_c,y,Rd = 4.65	1.35	4.50	4.07	3.71	3.41	3.14	2.91	2.71	2.36	2.08	1.86	1.67	1.52	1.41	1.31	1.23	1.15	1.09
M_c,z,Rd = 2.41	1.50	4.65	4.28	3.93	3.64	3.37	3.14	2.93	2.57	2.28	2.04	1.83	1.66	1.52	1.42	1.33	1.25	1.18
	1.77	4.65	4.59	4.28	4.00	3.74	3.51	3.30	2.93	2.62	2.35	2.13	1.93	1.76	1.61	1.50	1.41	1.34
	2.00	4.65	4.65	4.51	4.26	4.02	3.79	3.59	3.22	2.90	2.62	2.37	2.16	1.98	1.81	1.67	1.55	1.47
Class = 1	2.50	4.65	4.65	4.65	4.65	4.49	4.29	4.10	3.75	3.43	3.14	2.88	2.65	2.44	2.26	2.09	1.94	1.80

⁽¹⁾ C₁ is the factor dependent on the loading and end restraints

Section classification given applies to members subject to bending about the y-y axis only

Design Data

Long products

Flat products

Other

Long products - Channels - Taper flange channels UPN - S355 - 4. Buckling resistance moment UPN