Long products - Channels - Taper flange channels UPN - S355 - 6. Axial force + bending UPN

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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
UPN 400	n/a	M_c,y,Rd	428	428	428	428	428	428	428	428	428	428	428	0	N_b,y,Rd	3,160	3,160	3,160	3,130	3,060	2,990	2,920	2,780	2,630	2,470	2,300	2,130	1,960	1,790	1,630	1,490	1,350
N_pl,Rd = 3,160	1.000	M_c,z,Rd	65.6	65.6	65.6	65.6	65.6	65.6	65.6	65.6	65.6	65.6	65.6		N_b,z,Rd	2,790	2,410	1,990	1,600	1,260	1,010	815	559	404	306	239	192	157	131	111	95.3	82.6
														1.000	M_b,Rd	428	377	327	286	253	226	204	171	148	130	117	106	96.8	89.3	83.0	77.5	72.7
UPN 380	n/a	M_c,y,Rd	359	359	359	359	359	359	359	359	359	359	359	0	N_b,y,Rd	2,850	2,850	2,850	2,800	2,740	2,670	2,600	2,460	2,310	2,150	1,980	1,820	1,650	1,490	1,350	1,220	1,100
N_pl,Rd = 2,850	1.000	M_c,z,Rd	52.5	52.5	52.5	52.5	52.5	52.5	52.5	52.5	52.5	52.5	52.5		N_b,z,Rd	2,450	2,050	1,630	1,260	978	769	617	418	301	227	177	141	116	96.6	81.8	70.1	60.8
														1.000	M_b,Rd	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
UPN 350	n/a	M_c,y,Rd	326	326	326	326	326	326	326	326	326	326	326	0	N_b,y,Rd	2,740	2,740	2,740	2,670	2,600	2,530	2,450	2,300	2,140	1,970	1,800	1,620	1,460	1,300	1,170	1,040	938
N_pl,Rd = 2,740	1.000	M_c,z,Rd	50.8	50.8	50.8	50.8	50.8	50.8	50.8	50.8	50.8	50.8	50.8		N_b,z,Rd	2,340	1,950	1,540	1,190	915	718	575	389	280	211	164	131	108	89.7	75.9	65.1	56.4
														1.000	M_b,Rd	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
UPN 320	n/a	M_c,y,Rd	285	285	285	285	285	285	285	285	285	285	285	0	N_b,y,Rd	2,620	2,620	2,600	2,530	2,460	2,380	2,310	2,160	1,990	1,820	1,640	1,470	1,310	1,170	1,040	927	829
N_pl,Rd = 2,620	1.000	M_c,z,Rd	52.4	52.4	52.4	52.4	52.4	52.4	52.4	52.4	52.4	52.4	52.4		N_b,z,Rd	2,260	1,910	1,540	1,200	935	738	593	403	291	219	171	137	112	93.5	79.1	67.9	58.8
														1.000	M_b,Rd	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
UPN 300	n/a	M_c,y,Rd	224	224	224	224	224	224	224	224	224	224	224	0	N_b,y,Rd	2,090	2,090	2,060	2,000	1,940	1,880	1,820	1,690	1,550	1,400	1,260	1,120	990	876	775	688	614
N_pl,Rd = 2,090	1.000	M_c,z,Rd	46.2	46.2	46.2	46.2	46.2	46.2	46.2	46.2	46.2	46.2	46.2		N_b,z,Rd	1,820	1,540	1,250	980	766	605	487	332	239	180	141	113	92.4	77.1	65.3	56.0	48.5
														1.000	M_b,Rd	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
UPN 280	n/a	M_c,y,Rd	189	189	189	189	189	189	189	189	189	189	189	0	N_b,y,Rd	1,890	1,890	1,850	1,800	1,740	1,680	1,620	1,490	1,350	1,200	1,060	936	820	719	633	559	497
N_pl,Rd = 1,890	1.000	M_c,z,Rd	38.7	38.7	38.7	38.7	38.7	38.7	38.7	38.7	38.7	38.7	38.7		N_b,z,Rd	1,620	1,350	1,070	826	638	501	401	272	196	147	115	91.9	75.2	62.7	53.1	45.5	39.4
														1.000	M_b,Rd	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
UPN 260	n/a	M_c,y,Rd	157	157	157	157	157	157	157	157	157	157	157	0	N_b,y,Rd	1,720	1,720	1,660	1,600	1,540	1,480	1,420	1,290	1,150	1,010	880	762	660	574	502	441	390
N_pl,Rd = 1,720	1.000	M_c,z,Rd	32.5	32.5	32.5	32.5	32.5	32.5	32.5	32.5	32.5	32.5	32.5		N_b,z,Rd	1,440	1,170	904	683	521	406	324	218	156	118	91.5	73.2	59.9	49.9	42.2	36.2	31.3
														1.000	M_b,Rd	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
UPN 240	n/a	M_c,y,Rd	127	127	127	127	127	127	127	127	127	127	127	0	N_b,y,Rd	1,500	1,490	1,440	1,380	1,330	1,270	1,210	1,080	946	816	699	598	514	444	386	338	298
N_pl,Rd = 1,500	1.000	M_c,z,Rd	26.9	26.9	26.9	26.9	26.9	26.9	26.9	26.9	26.9	26.9	26.9		N_b,z,Rd	1,230	984	742	552	417	324	257	173	124	92.7	72.0	57.6	47.1	39.2	33.2	28.4	24.6
														1.000	M_b,Rd	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
UPN 220	n/a	M_c,y,Rd	104	104	104	104	104	104	104	104	104	104	104	0	N_b,y,Rd	1,330	1,310	1,250	1,200	1,150	1,090	1,030	903	775	657	554	469	399	343	297	259	228
N_pl,Rd = 1,330	1.000	M_c,z,Rd	22.8	22.8	22.8	22.8	22.8	22.8	22.8	22.8	22.8	22.8	22.8		N_b,z,Rd	1,070	835	616	453	340	262	208	139	99.4	74.4	57.8	46.2	37.8	31.4	26.6	22.8	19.7
														1.000	M_b,Rd	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
UPN 200	n/a	M_c,y,Rd	80.9	80.9	80.9	80.9	80.9	80.9	80.9	80.9	80.9	80.9	80.9	0	N_b,y,Rd	1,140	1,110	1,060	1,010	957	901	843	721	604	501	417	349	295	251	217	189	165
N_pl,Rd = 1,140	1.000	M_c,z,Rd	18.4	18.4	18.4	18.4	18.4	18.4	18.4	18.4	18.4	18.4	18.4		N_b,z,Rd	890	673	483	349	260	199	157	105	74.8	55.9	43.4	34.7	28.3	23.6	19.9	17.0	14.8
														1.000	M_b,Rd	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
UPN 180	n/a	M_c,y,Rd	63.5	63.5	63.5	63.5	63.5	63.5	63.5	63.5	63.5	63.5	63.5	0	N_b,y,Rd	994	952	904	854	801	745	687	571	466	379	311	257	216	184	158	137	120
N_pl,Rd = 994	1.000	M_c,z,Rd	15.2	15.2	15.2	15.2	15.2	15.2	15.2	15.2	15.2	15.2	15.2		N_b,z,Rd	752	553	388	277	205	157	123	82.0	58.3	43.6	33.8	27.0	22.0	18.3	15.5	13.2	11.5
														1.000	M_b,Rd	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
UPN 160	n/a	M_c,y,Rd	49.0	49.0	49.0	49.0	49.0	49.0	49.0	49.0	49.0	49.0	49.0	0	N_b,y,Rd	847	802	755	705	653	597	541	434	344	275	223	183	153	129	111	95.6	83.5
N_pl,Rd = 852	1.000	M_c,z,Rd	12.5	12.5	12.5	12.5	12.5	12.5	12.5	12.5	12.5	12.5	12.5		N_b,z,Rd	621	441	302	213	157	119	93.7	62.1	44.1	32.9	25.5	20.3	16.6	13.8	11.7	9.97	8.63
														1.000	M_b,Rd	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
UPN 140	n/a	M_c,y,Rd	36.6	36.6	36.6	36.6	36.6	36.6	36.6	36.6	36.6	36.6	36.6	0	N_b,y,Rd	709	665	618	569	516	461	408	314	242	190	152	124	103	86.8	74.1	64.0	55.8
N_pl,Rd = 724	1.000	M_c,z,Rd	10.0	10.0	10.0	10.0	10.0	10.0	10.0	10.0	10.0	10.0	10.0		N_b,z,Rd	503	342	229	159	116	88.3	69.2	45.7	32.4	24.2	18.7	14.9	12.2	10.1	8.53	7.30	6.31
														1.000	M_b,Rd	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
UPN 120	n/a	M_c,y,Rd	25.8	25.8	25.8	25.8	25.8	25.8	25.8	25.8	25.8	25.8	25.8	0	N_b,y,Rd	578	534	486	434	381	329	282	207	156	120	95.2	77.2	63.7	53.5	45.5	39.2	34.1
N_pl,Rd = 604	1.000	M_c,z,Rd	7.53	7.53	7.53	7.53	7.53	7.53	7.53	7.53	7.53	7.53	7.53		N_b,z,Rd	391	252	164	113	81.7	61.8	48.3	31.8	22.5	16.8	13.0	10.3	8.41	6.99	5.89	5.04	4.36
														1.000	M_b,Rd	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
UPN 100	n/a	M_c,y,Rd	17.4	17.4	17.4	17.4	17.4	17.4	17.4	17.4	17.4	17.4	17.4	0	N_b,y,Rd	446	403	356	306	258	214	179	127	93.3	71.3	56.1	45.2	37.2	31.2	26.5	22.7	19.8
N_pl,Rd = 479	1.000	M_c,z,Rd	5.75	5.75	5.75	5.75	5.75	5.75	5.75	5.75	5.75	5.75	5.75		N_b,z,Rd	290	179	114	78.0	56.3	42.5	33.2	21.8	15.4	11.4	8.84	7.04	5.73	4.76	4.02	3.43	2.97
														1.000	M_b,Rd	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
UPN 80	n/a	M_c,y,Rd	11.5	11.5	11.5	11.5	11.5	11.5	11.5	11.5	11.5	11.5	11.5	0	N_b,y,Rd	346	299	248	199	157	126	102	69.8	50.5	38.2	29.8	23.9	19.6	16.4	13.9	11.9	10.3
N_pl,Rd = 390	1.000	M_c,z,Rd	4.22	4.22	4.22	4.22	4.22	4.22	4.22	4.22	4.22	4.22	4.22		N_b,z,Rd	214	126	78.7	53.2	38.2	28.8	22.4	14.7	10.3	7.69	5.93	4.72	3.84	3.19	2.69	2.30	1.99
														1.000	M_b,Rd	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
UPN 65	n/a	M_c,y,Rd	7.70	7.70	7.70	7.70	7.70	7.70	7.70	7.70	7.70	7.70	7.70	0	N_b,y,Rd	267	216	166	125	95.0	73.9	58.9	39.6	28.4	21.3	16.6	13.3	10.9	9.05	7.65	6.56	5.68
N_pl,Rd = 321	1.000	M_c,z,Rd	3.33	3.33	3.33	3.33	3.33	3.33	3.33	3.33	3.33	3.33	3.33		N_b,z,Rd	164	93.8	58.1	39.1	28.0	21.0	16.4	10.7	7.54	5.60	4.32	3.43	2.79	2.32	1.95	1.67	1.44
														1.000	M_b,Rd	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
UPN 50	n/a	M_c,y,Rd	4.65	4.65	4.65	4.65	4.65	4.65	4.65	4.65	4.65	4.65	4.65	0	N_b,y,Rd	186	133	91.8	64.9	47.7	36.4	28.6	19.0	13.5	10.1	7.80	6.22	5.08	4.22	3.57	3.05	2.64
N_pl,Rd = 253	1.000	M_c,z,Rd	2.41	2.41	2.41	2.41	2.41	2.41	2.41	2.41	2.41	2.41	2.41		N_b,z,Rd	115	62.8	38.4	25.6	18.3	13.7	10.6	6.95	4.89	3.63	2.80	2.22	1.81	1.50	1.26	1.08	0.933
														1.000	M_b,Rd	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

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 - Taper flange channels UPN - S355 - 6. Axial force + bending UPN