Long products - Bearing piles - Wide flange bearing piles - UBP - S460 - 6. Axial force + bending UBP

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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
UBP 356 x 368 x 174			M_c,y,Rd	1,240	1,240	1,240	1,240	1,240	1,240	1,240	1,240	1,240	1,240	1,240	1.000	N_b,y,Rd	9,750	9,750	9,750	9,660	9,550	9,440	9,330	9,070	8,760	8,390	7,930	7,380	6,760	6,100	5,470	4,880	4,350
N_pl,Rd = 9,750		1.000	M_c,z,Rd	429	429	429	429	429	429	429	429	429	429	429		N_b,z,Rd	9,750	9,660	9,480	9,290	9,070	8,820	8,530	7,770	6,770	5,690	4,710	3,900	3,260	2,760	2,350	2,030	1,770
f_yW_el,y = 1,240		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	1.000	M_b,Rd	1,240	1,240	1,240	1,240	1,240	1,220	1,190	1,130	1,080	1,020	962	908	857	808	763	722	684
f_yW_el,z = 429			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	1,400	1,400	1,400	1,400	1,390	1,360	1,320	1,250	1,180	1,110	1,040	974	912	855	803	756	713
UBP 356 x 368 x 152			M_c,y,Rd	1,090	1,090	1,090	1,090	1,090	1,090	1,090	1,090	1,090	1,090	1,090	1.000	N_b,y,Rd	8,520	8,520	8,520	8,440	8,350	8,250	8,150	7,920	7,650	7,320	6,910	6,420	5,870	5,290	4,730	4,220	3,760
N_pl,Rd = 8,520		1.000	M_c,z,Rd	372	372	372	372	372	372	372	372	372	372	372		N_b,z,Rd	8,520	8,440	8,290	8,120	7,920	7,700	7,440	6,760	5,870	4,920	4,070	3,360	2,810	2,370	2,020	1,750	1,520
f_yW_el,y = 1,090		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	1.000	M_b,Rd	1,090	1,090	1,090	1,090	1,080	1,060	1,030	979	925	870	816	763	714	668	627	589	555
f_yW_el,z = 372			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	1,220	1,220	1,220	1,220	1,200	1,170	1,140	1,080	1,010	942	875	812	754	702	654	612	574
UBP 356 x 368 x 133	∗		M_c,y,Rd	X	X	X	X	X	X	X	X	X	X	$	0.000	N_b,y,Rd	7,650	7,650	7,650	7,570	7,480	7,390	7,300	7,090	6,830	6,520	6,140	5,680	5,170	4,640	4,140	3,680	3,270
N_pl,Rd = 7,790		n/a	M_c,z,Rd	X	X	X	X	X	X	X	X	X	X	$		N_b,z,Rd	7,650	7,570	7,420	7,260	7,090	6,880	6,630	5,990	5,170	4,300	3,540	2,920	2,440	2,050	1,750	1,510	1,320
f_yW_el,y = 993		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	993	993	993	993	985	960	934	880	824	767	710	657	607	562	522	487	455
f_yW_el,z = 337			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	1,110	1,110	1,110	1,110	1,090	1,060	1,030	961	892	823	755	692	635	585	541	502	468
UBP 356 x 368 x 109	∗		M_c,y,Rd	X	X	X	X	X	X	X	X	X	X	$	0.000	N_b,y,Rd	5,760	5,760	5,760	5,710	5,650	5,590	5,520	5,370	5,190	4,970	4,700	4,390	4,020	3,640	3,260	2,920	2,600
N_pl,Rd = 6,380		n/a	M_c,z,Rd	X	X	X	X	X	X	X	X	X	X	$		N_b,z,Rd	5,760	5,710	5,610	5,490	5,370	5,220	5,050	4,600	4,020	3,380	2,800	2,320	1,940	1,640	1,400	1,210	1,050
f_yW_el,y = 814		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	814	814	814	814	805	782	760	712	661	608	556	507	462	423	389	359	333
f_yW_el,z = 272			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	900	900	900	900	882	856	829	771	710	647	586	530	480	437	400	368	341
UBP 305 x 305 x 223			M_c,y,Rd	1,610	1,610	1,610	1,610	1,610	1,610	1,610	1,610	1,610	1,610	1,610	0	N_b,y,Rd	12,500	12,500	12,500	12,300	12,200	12,000	11,800	11,400	10,900	10,300	9,520	8,640	7,710	6,810	5,990	5,280	4,660
N_pl,Rd = 12,500		n/a	M_c,z,Rd	739	739	739	739	739	739	739	739	739	739	739		N_b,z,Rd	12,500	12,300	12,000	11,700	11,300	10,900	10,300	8,960	7,350	5,900	4,750	3,880	3,210	2,690	2,290	1,970	1,710
f_yW_el,y = 1,370		1.000	M_N,y,Rd	1,610	1,610	1,520	1,330	1,140	947	758	568	379	189	0	1.000	M_b,Rd	1,610	1,610	1,610	1,610	1,580	1,550	1,510	1,450	1,390	1,330	1,270	1,220	1,170	1,120	1,070	1,020	982
f_yW_el,z = 475			M_N,z,Rd	739	739	739	739	725	680	605	499	363	197	0
UBP 305 x 305 x 186			M_c,y,Rd	1,320	1,320	1,320	1,320	1,320	1,320	1,320	1,320	1,320	1,320	1,320	0	N_b,y,Rd	10,400	10,400	10,400	10,300	10,100	9,980	9,830	9,490	9,060	8,520	7,860	7,100	6,310	5,560	4,880	4,290	3,790
N_pl,Rd = 10,400		n/a	M_c,z,Rd	601	601	601	601	601	601	601	601	601	601	601		N_b,z,Rd	10,400	10,200	9,990	9,720	9,410	9,020	8,560	7,350	5,990	4,790	3,850	3,130	2,590	2,170	1,850	1,590	1,380
f_yW_el,y = 1,140		1.000	M_N,y,Rd	1,320	1,320	1,250	1,090	936	780	624	468	312	156	0	1.000	M_b,Rd	1,320	1,320	1,320	1,320	1,290	1,260	1,230	1,170	1,110	1,050	997	945	896	850	808	768	732
f_yW_el,z = 388			M_N,z,Rd	601	601	601	601	590	554	493	408	297	161	0
UBP 305 x 305 x 149			M_c,y,Rd	1,040	1,040	1,040	1,040	1,040	1,040	1,040	1,040	1,040	1,040	1,040	0	N_b,y,Rd	8,360	8,360	8,320	8,210	8,110	7,990	7,870	7,580	7,220	6,780	6,220	5,600	4,960	4,350	3,820	3,350	2,960
N_pl,Rd = 8,360		n/a	M_c,z,Rd	469	469	469	469	469	469	469	469	469	469	469		N_b,z,Rd	8,360	8,190	8,000	7,770	7,510	7,190	6,790	5,790	4,680	3,720	2,980	2,420	2,000	1,680	1,430	1,230	1,060
f_yW_el,y = 913		1.000	M_N,y,Rd	1,040	1,040	988	864	741	617	494	370	247	123	0	1.000	M_b,Rd	1,040	1,040	1,040	1,040	1,010	980	951	894	839	785	734	687	643	604	568	535	506
f_yW_el,z = 304			M_N,z,Rd	469	469	469	469	461	434	387	320	233	126	0
UBP 305 x 305 x 126			M_c,y,Rd	772	772	772	772	772	772	772	772	772	772	772	1.000	N_b,y,Rd	7,070	7,070	7,030	6,940	6,850	6,750	6,640	6,400	6,090	5,700	5,220	4,680	4,140	3,620	3,170	2,780	2,460
N_pl,Rd = 7,070		1.000	M_c,z,Rd	253	253	253	253	253	253	253	253	253	253	253		N_b,z,Rd	7,070	6,920	6,750	6,560	6,330	6,050	5,710	4,840	3,890	3,090	2,470	2,010	1,660	1,390	1,180	1,010	881
f_yW_el,y = 772		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	1.000	M_b,Rd	772	772	772	772	751	730	709	666	624	583	543	507	473	443	415	391	369
f_yW_el,z = 253			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	874	874	874	866	840	813	787	733	680	629	581	537	498	463	433	405	381
UBP 305 x 305 x 110			M_c,y,Rd	704	704	704	704	704	704	704	704	704	704	704	1.000	N_b,y,Rd	6,440	6,440	6,400	6,320	6,230	6,140	6,040	5,800	5,500	5,110	4,650	4,140	3,630	3,170	2,760	2,420	2,130
N_pl,Rd = 6,440		1.000	M_c,z,Rd	228	228	228	228	228	228	228	228	228	228	228		N_b,z,Rd	6,440	6,300	6,140	5,950	5,730	5,460	5,120	4,270	3,400	2,680	2,130	1,730	1,430	1,190	1,010	871	756
f_yW_el,y = 704		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	1.000	M_b,Rd	704	704	704	700	679	657	636	592	547	504	463	426	393	364	339	317	297
f_yW_el,z = 228			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	791	791	791	778	753	727	700	645	590	537	489	447	410	378	350	326	305
UBP 305 x 305 x 95			M_c,y,Rd	607	607	607	607	607	607	607	607	607	607	607	1.000	N_b,y,Rd	5,560	5,560	5,520	5,450	5,370	5,290	5,200	4,990	4,730	4,390	3,980	3,540	3,100	2,700	2,350	2,060	1,810
N_pl,Rd = 5,560		1.000	M_c,z,Rd	195	195	195	195	195	195	195	195	195	195	195		N_b,z,Rd	5,560	5,430	5,290	5,130	4,930	4,690	4,390	3,650	2,890	2,270	1,810	1,470	1,210	1,010	859	738	641
f_yW_el,y = 607		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	1.000	M_b,Rd	607	607	607	601	582	563	543	501	458	417	379	345	315	290	268	249	232
f_yW_el,z = 195			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	678	678	678	665	642	618	594	543	491	442	397	359	326	299	275	255	234
UBP 305 x 305 x 88	∗		M_c,y,Rd	X	X	X	X	X	X	X	X	X	X	$	0.000	N_b,y,Rd	5,000	5,000	4,970	4,910	4,840	4,760	4,690	4,500	4,270	3,980	3,620	3,220	2,830	2,470	2,160	1,890	1,660
N_pl,Rd = 5,160		n/a	M_c,z,Rd	X	X	X	X	X	X	X	X	X	X	$		N_b,z,Rd	5,000	4,890	4,760	4,620	4,450	4,240	3,970	3,320	2,640	2,080	1,660	1,340	1,110	927	787	676	587
f_yW_el,y = 562		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	562	562	562	555	537	519	499	459	418	378	341	309	281	257	237	219	203
f_yW_el,z = 179			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	626	626	626	613	591	568	545	496	446	399	357	321	290	264	243	222	203
UBP 305 x 305 x 79	∗		M_c,y,Rd	X	X	X	X	X	X	X	X	X	X	$	0.000	N_b,y,Rd	4,300	4,300	4,280	4,220	4,170	4,110	4,040	3,890	3,700	3,460	3,160	2,830	2,490	2,180	1,910	1,680	1,480
N_pl,Rd = 4,620		n/a	M_c,z,Rd	X	X	X	X	X	X	X	X	X	X	$		N_b,z,Rd	4,300	4,210	4,100	3,980	3,840	3,660	3,450	2,900	2,320	1,840	1,470	1,190	982	823	699	600	521
f_yW_el,y = 506		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	506	506	506	499	482	465	446	408	368	330	295	265	240	218	200	183	167
f_yW_el,z = 160			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	560	560	560	548	528	507	485	439	391	347	307	274	247	223	203	183	167
UBP 254 x 254 x 85			M_c,y,Rd	444	444	444	444	444	444	444	444	444	444	444	1.000	N_b,y,Rd	4,990	4,980	4,900	4,820	4,720	4,620	4,510	4,230	3,850	3,390	2,910	2,460	2,090	1,780	1,530	1,320	1,160
N_pl,Rd = 4,990		1.000	M_c,z,Rd	149	149	149	149	149	149	149	149	149	149	149		N_b,z,Rd	4,940	4,800	4,640	4,440	4,190	3,860	3,470	2,660	2,010	1,540	1,210	973	798	666	564	484	419
f_yW_el,y = 444		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	1.000	M_b,Rd	444	444	444	430	415	400	385	355	325	298	273	251	232	216	201	188	177
f_yW_el,z = 149			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	502	502	499	480	462	443	423	385	349	316	288	263	241	223	207	193	180
UBP 254 x 254 x 71			M_c,y,Rd	371	371	371	371	371	371	371	371	371	371	371	1.000	N_b,y,Rd	4,160	4,150	4,080	4,010	3,940	3,850	3,760	3,510	3,190	2,800	2,400	2,030	1,720	1,460	1,250	1,090	948
N_pl,Rd = 4,160		1.000	M_c,z,Rd	123	123	123	123	123	123	123	123	123	123	123		N_b,z,Rd	4,120	4,000	3,860	3,700	3,480	3,200	2,870	2,180	1,640	1,260	988	794	651	544	460	395	342
f_yW_el,y = 371		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	1.000	M_b,Rd	371	371	371	357	343	329	315	286	258	232	210	190	174	160	148	138	127
f_yW_el,z = 123			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	416	416	411	395	378	361	343	307	274	244	218	197	179	164	151	138	127
UBP 254 x 254 x 63	∗		M_c,y,Rd	X	X	X	X	X	X	X	X	X	X	$	0.000	N_b,y,Rd	3,640	3,630	3,580	3,510	3,450	3,370	3,290	3,080	2,800	2,460	2,100	1,780	1,510	1,280	1,100	954	833
N_pl,Rd = 3,690		n/a	M_c,z,Rd	X	X	X	X	X	X	X	X	X	X	$		N_b,z,Rd	3,610	3,500	3,380	3,240	3,040	2,800	2,510	1,910	1,440	1,100	865	695	570	476	403	346	300
f_yW_el,y = 330		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	330	330	329	316	303	290	276	248	221	197	176	159	144	132	121	110	101
f_yW_el,z = 108			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	368	368	363	348	332	316	299	265	233	206	182	163	148	134	121	110	101
UBP 203 x 203 x 54			M_c,y,Rd	227	227	227	227	227	227	227	227	227	227	227	1.000	N_b,y,Rd	3,160	3,120	3,050	2,980	2,900	2,800	2,680	2,380	2,000	1,640	1,330	1,090	905	762	649	558	486
N_pl,Rd = 3,160		1.000	M_c,z,Rd	75.5	75.5	75.5	75.5	75.5	75.5	75.5	75.5	75.5	75.5	75.5		N_b,z,Rd	3,090	2,970	2,810	2,600	2,320	2,000	1,680	1,180	858	647	503	403	329	274	231	198	171
f_yW_el,y = 227		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	1.000	M_b,Rd	227	227	219	210	200	190	180	161	144	130	117	107	98.0	90.5	83.9	77.0	71.1
f_yW_el,z = 75.5			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	256	256	245	233	220	208	196	173	153	136	122	110	101	92.2	83.9	77.0	71.1
UBP 203 x 203 x 45			M_c,y,Rd	188	188	188	188	188	188	188	188	188	188	188	1.000	N_b,y,Rd	2,630	2,590	2,540	2,480	2,410	2,320	2,220	1,960	1,650	1,340	1,090	891	740	622	529	456	396
N_pl,Rd = 2,630		1.000	M_c,z,Rd	61.8	61.8	61.8	61.8	61.8	61.8	61.8	61.8	61.8	61.8	61.8		N_b,z,Rd	2,570	2,470	2,340	2,160	1,920	1,640	1,380	964	699	526	410	327	268	223	188	161	139
f_yW_el,y = 188		0.000	M_N,y,Rd	–	–	–	–	–	–	–	–	–	–	–	1.000	M_b,Rd	188	188	181	172	163	154	145	127	111	98.1	87.5	78.9	71.7	64.8	58.8	53.8	49.7
f_yW_el,z = 61.8			M_N,z,Rd	–	–	–	–	–	–	–	–	–	–	–	0.000	M_b,Rd	211	211	200	190	178	167	155	134	116	102	90.1	80.9	72.1	64.8	58.8	53.8	49.7

X Section becomes Class 4

$ For these 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

– Not applicable for Class 3 and Class 4 sections

∗ The section can become Class 4 under axial compression only. Under combined axial compression and bending the section becomes Class 4 when the Class 3 N_Ed / N_pl,Rd limit is exceeded

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

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Long products - Bearing piles - Wide flange bearing piles - UBP - S460 - 6. Axial force + bending UBP