Long products - Channels - Parallel flange channels UPE - S355 - 6. Axial force + bending UPE

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Section designation	Cross-section resistance check													Member buckling check
and resistances	n Limit	Moment Resistance M_c,y,Rd, M_c,z,Rd (kNm) and Reduced Moment Resistance M_N,y,Rd, M_N,z,Rd (kNm)												n Limit	Compression resistance N_b,y,Rd, N_b,z,Rd (kN) and Buckling Resistance Moment M_b,Rd (kNm)
(kN, kNm)	Class 3	for Ratios of Design Axial Force to Design Axial Plastic Resistance n = N_Ed / N_pl,Rd												Class 3	for varying buckling lengths L (m) within the limiting value of n = N_Ed / N_pl,Rd
	Class 2	n	0.0	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0	Class 2	L (m)	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
UPE 400	n/a	M_c,y,Rd	435	435	435	435	435	435	435	435	435	435	435	0	N_b,y,Rd	3,170	3,170	3,170	3,150	3,080	3,010	2,940	2,800	2,650	2,490	2,330	2,160	1,990	1,820	1,670	1,520	1,380
N_pl,Rd = 3,170	1.000	M_c,z,Rd	65.9	65.9	65.9	65.9	65.9	65.9	65.9	65.9	65.9	65.9	65.9		N_b,z,Rd	2,870	2,540	2,170	1,790	1,460	1,180	965	670	488	370	290	233	192	160	136	117	101
														1.000	M_b,Rd	435	396	347	306	272	244	221	185	160	141	126	114	105	96.7	89.8	83.9	78.8
UPE 360	n/a	M_c,y,Rd	339	339	339	339	339	339	339	339	339	339	339	0	N_b,y,Rd	2,690	2,690	2,690	2,640	2,580	2,510	2,450	2,310	2,170	2,020	1,870	1,710	1,560	1,410	1,270	1,150	1,040
N_pl,Rd = 2,690	1.000	M_c,z,Rd	61.4	61.4	61.4	61.4	61.4	61.4	61.4	61.4	61.4	61.4	61.4		N_b,z,Rd	2,420	2,130	1,810	1,480	1,200	966	788	545	397	301	235	189	155	130	110	94.4	81.9
														1.000	M_b,Rd	339	304	266	234	208	186	169	142	123	108	97.2	88.2	80.8	74.6	69.3	64.8	60.8
UPE 330	n/a	M_c,y,Rd	281	281	281	281	281	281	281	281	281	281	281	0	N_b,y,Rd	2,410	2,410	2,400	2,340	2,270	2,210	2,140	2,010	1,860	1,710	1,560	1,400	1,260	1,120	1,000	896	803
N_pl,Rd = 2,410	1.000	M_c,z,Rd	55.4	55.4	55.4	55.4	55.4	55.4	55.4	55.4	55.4	55.4	55.4		N_b,z,Rd	2,140	1,860	1,560	1,260	1,000	801	650	447	324	245	192	154	126	105	89.2	76.6	66.4
														1.000	M_b,Rd	281	247	214	188	166	149	135	113	97.8	86.3	77.4	70.2	64.3	59.3	55.1	51.5	48.4
UPE 300	n/a	M_c,y,Rd	218	218	218	218	218	218	218	218	218	218	218	0	N_b,y,Rd	2,010	2,010	1,990	1,930	1,870	1,820	1,760	1,630	1,500	1,360	1,220	1,090	963	852	755	671	599
N_pl,Rd = 2,010	1.000	M_c,z,Rd	48.6	48.6	48.6	48.6	48.6	48.6	48.6	48.6	48.6	48.6	48.6		N_b,z,Rd	1,780	1,530	1,270	1,010	803	640	518	355	257	194	152	122	99.7	83.2	70.5	60.5	52.5
														1.000	M_b,Rd	218	188	162	141	125	112	101	84.8	73.2	64.6	57.8	52.5	48.0	44.3	41.2	38.5	36.1
UPE 270	n/a	M_c,y,Rd	160	160	160	160	160	160	160	160	160	160	160	0	N_b,y,Rd	1,590	1,590	1,560	1,510	1,460	1,410	1,350	1,240	1,130	1,000	887	778	681	597	524	463	411
N_pl,Rd = 1,590	1.000	M_c,z,Rd	39.8	39.8	39.8	39.8	39.8	39.8	39.8	39.8	39.8	39.8	39.8		N_b,z,Rd	1,400	1,200	978	775	610	484	390	267	193	145	114	91.1	74.6	62.3	52.7	45.2	39.2
														1.000	M_b,Rd	158	135	116	100	88.2	78.6	70.9	59.3	51.1	45.0	40.3	36.5	33.4	30.8	28.6	26.7	25.1
UPE 240	n/a	M_c,y,Rd	123	123	123	123	123	123	123	123	123	123	123	0	N_b,y,Rd	1,370	1,360	1,320	1,270	1,220	1,170	1,120	1,010	895	780	674	581	502	435	379	333	294
N_pl,Rd = 1,370	1.000	M_c,z,Rd	32.7	32.7	32.7	32.7	32.7	32.7	32.7	32.7	32.7	32.7	32.7		N_b,z,Rd	1,180	998	802	625	486	383	308	209	151	114	88.6	71.0	58.2	48.5	41.1	35.2	30.5
														1.000	M_b,Rd	120	101	86.7	75.3	66.3	59.2	53.5	45.0	38.9	34.3	30.7	27.9	25.5	23.6	21.9	20.4	19.2
UPE 220	n/a	M_c,y,Rd	99.8	99.8	99.8	99.8	99.8	99.8	99.8	99.8	99.8	99.8	99.8	0	N_b,y,Rd	1,200	1,190	1,150	1,100	1,050	1,000	954	846	735	629	536	456	390	336	292	255	225
N_pl,Rd = 1,200	1.000	M_c,z,Rd	27.8	27.8	27.8	27.8	27.8	27.8	27.8	27.8	27.8	27.8	27.8		N_b,z,Rd	1,020	852	671	515	397	311	249	168	121	91.1	71.0	56.8	46.5	38.8	32.8	28.1	24.4
														1.000	M_b,Rd	95.3	80.3	68.5	59.5	52.4	46.9	42.4	35.7	30.9	27.3	24.5	22.2	20.4	18.8	17.5	16.3	15.3
UPE 200	n/a	M_c,y,Rd	78.1	78.1	78.1	78.1	78.1	78.1	78.1	78.1	78.1	78.1	78.1	0	N_b,y,Rd	1,030	1,010	965	922	877	830	780	677	575	482	404	340	289	247	213	186	163
N_pl,Rd = 1,030	1.000	M_c,z,Rd	22.5	22.5	22.5	22.5	22.5	22.5	22.5	22.5	22.5	22.5	22.5		N_b,z,Rd	859	699	538	405	309	241	192	129	92.6	69.5	54.1	43.3	35.4	29.5	25.0	21.4	18.5
														1.000	M_b,Rd	72.9	60.9	51.8	44.8	39.5	35.3	31.9	26.8	23.2	20.5	18.4	16.7	15.3	14.1	13.1	12.3	11.5
UPE 180	n/a	M_c,y,Rd	61.4	61.4	61.4	61.4	61.4	61.4	61.4	61.4	61.4	61.4	61.4	0	N_b,y,Rd	891	860	820	778	734	687	638	539	446	367	303	252	212	181	155	135	118
N_pl,Rd = 891	1.000	M_c,z,Rd	18.6	18.6	18.6	18.6	18.6	18.6	18.6	18.6	18.6	18.6	18.6		N_b,z,Rd	727	578	434	322	243	188	149	100	71.6	53.7	41.7	33.4	27.3	22.7	19.2	16.5	14.3
														1.000	M_b,Rd	56.1	46.7	39.7	34.4	30.3	27.2	24.6	20.8	18.0	15.9	14.3	13.0	11.9	11.0	10.2	9.53	8.95
UPE 160	n/a	M_c,y,Rd	46.9	46.9	46.9	46.9	46.9	46.9	46.9	46.9	46.9	46.9	46.9	0	N_b,y,Rd	770	730	690	647	602	555	506	412	330	265	216	178	149	126	108	93.4	81.6
N_pl,Rd = 770	1.000	M_c,z,Rd	14.7	14.7	14.7	14.7	14.7	14.7	14.7	14.7	14.7	14.7	14.7		N_b,z,Rd	610	469	342	249	186	143	113	75.6	54.0	40.4	31.4	25.1	20.5	17.0	14.4	12.3	10.7
														1.000	M_b,Rd	41.7	34.6	29.3	25.4	22.5	20.2	18.3	15.4	13.4	11.9	10.6	9.67	8.86	8.19	7.61	7.11	6.67
UPE 140	n/a	M_c,y,Rd	35.1	35.1	35.1	35.1	35.1	35.1	35.1	35.1	35.1	35.1	35.1	0	N_b,y,Rd	643	605	566	523	478	432	385	301	234	185	148	121	101	85.2	72.8	62.9	54.8
N_pl,Rd = 653	1.000	M_c,z,Rd	11.8	11.8	11.8	11.8	11.8	11.8	11.8	11.8	11.8	11.8	11.8		N_b,z,Rd	500	373	264	189	140	107	84.7	56.4	40.1	30.0	23.3	18.6	15.2	12.6	10.7	9.13	7.90
														1.000	M_b,Rd	30.5	25.3	21.6	18.8	16.7	15.0	13.6	11.6	10.1	8.92	8.02	7.29	6.68	6.17	5.74	5.37	5.04
UPE 120	n/a	M_c,y,Rd	25.0	25.0	25.0	25.0	25.0	25.0	25.0	25.0	25.0	25.0	25.0	0	N_b,y,Rd	527	489	449	405	359	314	271	202	153	119	94.3	76.5	63.3	53.2	45.3	39.0	34.0
N_pl,Rd = 547	1.000	M_c,z,Rd	8.98	8.98	8.98	8.98	8.98	8.98	8.98	8.98	8.98	8.98	8.98		N_b,z,Rd	400	285	195	138	101	77.3	60.7	40.3	28.6	21.3	16.5	13.2	10.8	8.95	7.56	6.47	5.60
														1.000	M_b,Rd	21.2	17.6	15.1	13.2	11.7	10.6	9.62	8.18	7.12	6.32	5.68	5.17	4.74	4.38	4.07	3.81	3.58
UPE 100	n/a	M_c,y,Rd	17.0	17.0	17.0	17.0	17.0	17.0	17.0	17.0	17.0	17.0	17.0	0	N_b,y,Rd	416	378	337	293	249	209	175	125	92.6	70.8	55.8	45.1	37.1	31.1	26.4	22.7	19.7
N_pl,Rd = 444	1.000	M_c,z,Rd	6.85	6.85	6.85	6.85	6.85	6.85	6.85	6.85	6.85	6.85	6.85		N_b,z,Rd	308	210	140	97.6	71.3	54.1	42.4	28.0	19.9	14.8	11.5	9.13	7.45	6.19	5.23	4.47	3.87
														1.000	M_b,Rd	14.2	11.8	10.2	8.95	7.99	7.21	6.58	5.61	4.90	4.35	3.91	3.56	3.27	3.02	2.81	2.63	2.47
UPE 80	n/a	M_c,y,Rd	11.1	11.1	11.1	11.1	11.1	11.1	11.1	11.1	11.1	11.1	11.1	0	N_b,y,Rd	321	281	237	193	155	125	101	69.9	50.8	38.4	30.1	24.1	19.8	16.5	14.0	12.0	10.4
N_pl,Rd = 359	1.000	M_c,z,Rd	5.08	5.08	5.08	5.08	5.08	5.08	5.08	5.08	5.08	5.08	5.08		N_b,z,Rd	232	150	97.3	67.0	48.5	36.7	28.7	18.9	13.4	9.96	7.70	6.13	5.00	4.15	3.50	2.99	2.59
														1.000	M_b,Rd	9.15	7.75	6.74	5.97	5.36	4.87	4.46	3.82	3.34	2.98	2.68	2.44	2.25	2.08	1.93	1.81	1.70

N_Ed = Design value of the axial force

n = N_Ed / N_pl,Rd

The values in this table are conservative for tension as the more onerous compression section classification limits have been used

Under combined axial compression and bending the resistances are only valid up to the given N_Ed / N_pl,Rd limit. For higher values of n = N_Ed / N_pl,Rd the section would be overloaded due to N_Ed alone even when M_Ed is zero, because N_Ed would exceed the local buckling resistance of the section

Design Data

Long products

Flat products

Other

Long products - Channels - Parallel flange channels UPE - S355 - 6. Axial force + bending UPE