MEMBER DESIGN. Key Words Seismic, Category, Earthquake, hot rolled

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Hot Rolled I Sections Seismic Classification Author: Kevin Cowie, Alistair Fussell Affiliation: Steel Construction New Zealand Inc. Date: 22 nd December 2009 Ref.: MEM1001 MEMBER DESIGN Key Words Seismic,, Earthquake, hot rolled Introduction All steel members which form part of a seismic resisting frame are classified into one of 4 categories for the purpose of seismic design. 1 members are capable of sustaining high displacement ductility demands. 2 members are capable of sustaining low ductility demands. 3 members are capable of developing their minal section capacity where required to in bending. 4 members need t be designed to sustain any displacement ductility demand. Limits are placed on member section geometry for the various categories and this is found in section 12.5 of the Steel Structures Standard (SNZ, 2007). Previous tables have been developed classifying I section members into the appropriate categories (Feeney, 1993). These tables were developed based on the 1992 version of the Steel Structures Standard. Hot rolled steel sections classified were grades 250 and 350. Welded sections classified were limited to WB and WC sections. This article updates the Member ductility category of I sections for seismic design tables for Grade 300 hot rolled sections in accordance with the latest Steel Structures Standard (SNZ, 2007). Member Ductility of Sections for Seismic Design The following tables show the minimum member ductility category for Grade 300 hot rolled sections complying with AS/NZS 3679.1 (SAA/SNZ, 1996). The minimum member ductility category for any section is determined in accordance with the requirements given in section 12.4 (material requirements) and section 12.5 (section geometry requirements) of NZS 3404:1997. The minimum member ductility category can then be used to satisfy the relationships given in Table 12.2.6. For the I sections given, the member ductility category is a function of both the web plate and flange plate slenderness limits. These slenderness values, modified by the ratio fy/250 are given in the tables. The corresponding minimum member category in accordance with Table 12.5 is tabulated for the: (i) Flange plate (ii) plate for a section in bending, without axial compression (iii) plate for a section in axial compression The member ductility category is then given for the section used as a: Beam (typically in a moment-resisting frame) Column or brace, without any limit on axial compression force (this gives an absolute limit for a member ductility) Active link in an eccentrically braced frame Note that for some sections, the web plate slenderness exceeds the upper limits for webs in compression (λ e4 =60) given in Table 12.5 for 4 members. These sections may still be used for columns in seismicresisting systems provided that the axial compression force on the column is small. Clause 8.1.4 of NZS 3404 specifies this limit as N * /φn s 0.05. Disclaimer: SCNZ and the author(s) of this document make warrantee, guarantee or representation in connection with this document and shall t be held liable or responsible for any loss or damage resulting from the use of this document Steel Construction New Zealand Inc. 2009 1

Table 1: NZS3404:1997/2007 Seismic Member Ductility Universal Beams Grade 300 AS/NZS 3679.1:1996 Universal Beams - Grade 300 Modified Slenderness Modified Flange Slenderness d 1 /t w * (f y /250) (b f -t w )/2t f * (f y /250) Flange (Bending) (Compn) 52.7 5.9 610 UB 125 1 1 4 1 4 1 55.9 6.6 610 UB 113 1 1 4 1 4 1 61.1 8.0 610 UB 101 1 1 * 1 n. p. 1 55.7 7.0 530 UB 92.4 1 1 4 1 4 1 59.2 8.3 530 UB 82 1 1 4 1 4 1 48.9 6.2 460 UB 82.1 1 1 4 1 4 1 53.3 6.8 460 UB 74.6 1 1 4 1 4 1 57.1 7.8 460 UB 67.1 1 1 4 1 4 1 55.3 7.3 410 UB 59.7 1 1 4 1 4 1 56.8 8.8 410 UB 53.7 1 1 4 1 4 1 47.1 6.9 360 UB 56.7 1 1 4 1 4 1 51.7 7.8 360 UB 50.7 1 1 4 1 4 1 54.6 9.6 360 UB 44.7 3 1 4 3 4 3 48.0 7.4 310 UB 46.2 1 1 4 1 4 1 52.7 8.8 310 UB 40.4 1 1 4 1 4 1 58.0 10.1 310 UB 32 4 1 4 4 4 4 41.4 7.2 250 UB 37.3 1 1 4 1 4 1 43.4 9.2 250 UB 31.4 3 1 4 3 4 3 52.5 8.4 250 UB 25.7 1 1 4 1 4 1 33.8 7.5 200 UB 29.8 1 1 3 1 3 1 36.7 9.2 200 UB 25.4 3 1 3 3 3 3 42.5 10.3 200 UB 22.3 4 1 4 4 4 4 46.3 7.6 200 UB 18.2 1 1 4 1 4 1 30.0 4.8 180 UB 22.2 1 1 3 1 3 1 36.0 6.0 180 UB 18.1 1 1 3 1 3 1 40.0 6.9 180 UB 16.1 1 1 3 1 3 1 25.7 4.1 150 UB 18 1 1 2 1 2 1 30.8 5.7 150 UB 14 1 1 3 1 3 1 Notes 1. This classification is based on uniform compression. For beam-column elements the limiting web slenderness values are a function of the applied axial load. Refer to table 3. 2. Sections with "n. p." are t permitted by NZS 3404 to be used as members in seismic-resisting systems. 3. Sections deted * exceed the slenderness limits for webs in compression in 4 members Member Ductility Beam (MRF) Column or Brace (Axial Force Unlimited) 1 Active Link (EBF) Steel Construction New Zealand Inc. 2009 2

Table 2: NZS3404:1997/2007 Seismic Member Ductility Universal Columns Grade 300 AS/NZS 3679.1:1996 Universal Columns - Grade 300 Modified Slenderness Modified Flange Slenderness d 1 /t w * (f y /250) (b f -t w )/2t f * (f y /250) Flange Member Ductility Column or Brace (Axial Force Unlimited) 1 Beam (MRF) Active Link (EBF) 19.3 6.3 310 UC 158 1 1 1 1 1 1 22.0 7.2 310 UC 137 1 1 1 1 1 1 25.5 8.4 310 UC 118 1 1 2 1 2 1 31.7 10.5 310 UC 96.8 4 1 3 4 4 4 24.2 7.5 250 UC 89.5 1 1 1 1 1 1 29.6 9.5 250 UC 72.9 3 1 2 3 3 3 22.0 7.5 200 UC 59.5 1 1 1 1 1 1 25.6 8.6 200 UC 52.2 1 1 2 1 2 1 28.1 9.7 200 UC 46.2 3 1 2 3 3 3 19.4 6.9 150 UC 37.2 1 1 1 1 1 1 23.8 8.8 150 UC 30 1 1 1 1 1 1 25.8 12.1 150 UC 23.4 4 1 2 4 4 4 18.8 7.6 100 UC 14.8 1 1 1 1 1 1 Notes 1. This classification is based on uniform compression. For beam-column elements the limiting web slenderness values are a function of the applied axial load. Refer to table 4 Section Classification for Beam Columns The Steel Structures Standard presents limiting web slenderness ratios as a function of the constant applied axial load N * g for category 1, 2 and 3 members. The background to these requirements is discussed in the commentary section of clause 12.8.3.1(c) (SNZ, 2007). The principle reason for a constant load limitation is to control inelastic shortening of the yielding region of beam columns subject to inelastic bending. This inelastic shortening increases the extent of local combined web and flange buckling which has an undesirable effect on the overall member performance as it tends to accelerate the loss of member capacity. The following tables classifies I sections for beam columns in accordance with Table 12.5 NZS 3404 and clause 12.8.3.1(c) for additional axial compression force limitations. Figure 1 shows a flowchart to classify webs of beam columns to NZS3404 (SNZ, 2007). Steel Construction New Zealand Inc. 2009 3

Given significant axial load (see te 1) Calculate e,web Go to table 12.5 is category 1 element e,web 25? is category 2 element 25 e,web 30? is category 3 element 30 e,web 40 Axial load limited? is category 4 element 40< e,web 60 1 or 2 30 e,web 82? 3 40 e,web 101 Limit axial load * N g Limit axial load * N g according to table 12.8.2 according to table 12.8.2 Equation 8.4.3.3 (2) applies 30 e,web<45? 40 e,web<70? Equation 12.8.3.2 (2) applies Equation 8.4.3.3 (1) applies Equation 12.8.3.2 (1) applies Figure 1: seismic category flow diagram for beam columns Note 1 Refer to clause 8.1.4 for the definition of a significant axial load Steel Construction New Zealand Inc. 2009 4

Table 3: Seismic Section Classification for Beam Columns Grade 300 Universal Beams to AS/NZS 3679.1:1996 (Constant Axial Load Limit) Flange 1, 2 3 N* g /φn s N* g /φn s 610 UB 125 0.216 0.709 1 610 UB 113 0.192 0.634 1 610 UB 101 0.154 0.519 1 530 UB 92.4 0.194 0.640 1 530 UB 82 0.168 0.562 1 460 UB 82.1 0.243 0.795 1 460 UB 74.6 0.211 0.695 1 460 UB 67.1 0.183 0.608 1 410 UB 59.7 0.197 0.650 1 410 UB 53.7 0.185 0.615 1 360 UB 56.7 0.256 0.835 1 360 UB 50.7 0.223 0.731 1 360 UB 44.7 0.201 0.665 3 310 UB 46.2 0.250 0.815 1 310 UB 40.4 0.216 0.708 1 310 UB 32 0.177 0.588 4 250 UB 37.3 0.400 0.964 1 250 UB 31.4 0.326 0.918 3 250 UB 25.7 0.217 0.712 1 200 UB 29.8 0.678 1.000 1 200 UB 25.4 0.572 1.000 3 200 UB 22.3 0.357 0.938 4 200 UB 18.2 0.262 0.853 1 180 UB 22.2 0.814 1.000 1 180 UB 18.1 0.597 1.000 1 180 UB 16.1 0.451 1.000 1 150 UB 18 1.000-1 150 UB 14 0.787 1.000 1 - indicates axial load limit applies, web slenderness values comply with the requirements for category 1 or 2 elements. Refer to table 1 Steel Construction New Zealand Inc. 2009 5

Table 4: Seismic Section Classification for Beam Columns Grade 300 Universal Columns to AS/NZS 3679.1:1996 (Constant Axial Load Limit) Flange 1, 2 3 N* g /φn s N* g /φn s 310 UC 158 1.000-1 310 UC 137 1.000-1 310 UC 118 1.000-1 310 UC 96.8 0.755 1.000 4 250 UC 89.5 1.000-1 250 UC 72.9 1.000-3 200 UC 59.5 1.000-1 200 UC 52.2 1.000-1 200 UC 46.2 1.000-3 150 UC 37.2 1.000-1 150 UC 30 1.000-1 150 UC 23.4 1.000-4 100 UC 14.8 1.000-1 - indicates axial load limit applies, web slenderness values comply with the requirements for category 1 or 2 elements. Refer to table 2 References Feeney, M., Seismic Design Tables for Structural Steel I Sections, HERA Report R4-75, New Zealand Heavy Engineering Research Association, Manukau City, 1993 SAA / SNZ, Structural Steel Part 1: Hot-rolled bars and sections, AS/NZS 3679.1:1996, Homebush / Wellington, 1996 SNZ, Steel Structures Standard (Incorporating Amendments 1 and 2), NZS 3404:1997, Standards New Zealand, Wellington, 2007 Steel Construction New Zealand Inc. 2009 6