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Autodesk ™ Robot Structural Analysis Professional VERIFICATION MANUAL FOR AUSTRALIAN CODES March 2014
© 2014 Autodesk, Inc. All Rights Reserved. Except as otherwise permitted by Autodesk, Inc., this publication, or parts thereof, may not be reproduced in any form, by any method, for any purpose. Certain materials included in this publication are reprinted with the permission of the copyright holder. Disclaimer THIS PUBLICATION AND THE INFORMATION CONTAINED HEREIN IS MADE AVAILABLE BY AUTODESK, INC. “AS IS.” AUTODESK, INC. DISCLAIMS ALL WARRANTIES, EITHER EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE REGARDING THESE MATERIALS. Trademarks The following are registered trademarks of Autodesk, Inc., in the USA and/or other countries: Autodesk Robot Structural Analysis Professional, Autodesk Concrete Building Structures, Spreadsheet Calculator, ATC, AutoCAD, Autodesk, Autodesk Inventor, Autodesk (logo), Buzzsaw, Design Web Format, DWF, ViewCube, SteeringWheels, and Autodesk Revit. All other brand names, product names or trademarks belong to their respective holders. Third Party Software Program Credits ACIS Copyright© 1989-2001 Spatial Corp. Portions Copyright© 2002 Autodesk, Inc. Copyright© 1997 Microsoft Corporation. All rights reserved. International CorrectSpell™ Spelling Correction System© 1995 by Lernout & Hauspie Speech Products, N.V. All rights reserved. InstallShield™ 3.0. Copyright© 1997 InstallShield Software Corporation. All rights reserved. PANTONE® and other Pantone, Inc. trademarks are the property of Pantone, Inc.© Pantone, Inc., 2002. Portions Copyright© 1991-1996 Arthur D. Applegate. All rights reserved. Portions relating to JPEG © Copyright 1991-1998 Thomas G. Lane. All rights reserved. Portions of this software are based on the work of the Independent JPEG Group. Portions relating to TIFF © Copyright 1997-1998 Sam Leffler. © Copyright 1991-1997 Silicon Graphics, Inc. All rights reserved. Government Use Use, duplication, or disclosure by the U.S. Government is subject to restrictions as set forth in FAR 12.212 (Commercial Computer Software-Restricted Rights) and DFAR 227.7202 (Rights in Technical Data and Computer Software), as applicable.
Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
INTRODUCTION ..............................................................................................................................................................................1 STEEL ..............................................................................................................................................................................................2 1. AS 4100-1998 - STEEL................................................................................................................................................................3 VERIFICATION EXAMPLE 1 VERIFICATION EXAMPLE 2 VERIFICATION EXAMPLE 3 VERIFICATION EXAMPLE 4 VERIFICATION EXAMPLE 5 VERIFICATION EXAMPLE 6
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- AXIAL COMPRESSION ....................................................................................................................4 - AXIAL COMPRESSION SLENDER SECTION ........................................................................................8 - BENDING – SIMPLY SUPPORTED BEAM ..........................................................................................11 - BENDING – BRACED BEAM ...........................................................................................................15 - SHEAR STIFFENERS ....................................................................................................................19 - BIAXIAL BENDING ........................................................................................................................23
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
INTRODUCTION This verification manual contains numerical examples for elements of steel structures prepared and originally calculated by Autodesk Robot Structural Analysis Professional version 2013. The comparison of results is still valid for the next versions. All examples have been taken from handbooks that include benchmark tests covering fundamental types of behaviour encountered in structural analysis. Benchmark results (signed as “Handbook”) are recalled, and compared with results of Autodesk Robot Structural Analysis Professional (signed further as “Robot”). Each example contains the following parts: - title of the problem - specification of the problem - Robot solution of the problem - outputs with calculation results and calculation notes - comparison between Robot results and exact solution - conclusions.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
STEEL
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
1. AS 4100-1998
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
VERIFICATION EXAMPLE 1 - Axial compression Example taken from The Behavior and Design of Steel Structures to AS 4100 N.S.Trahair and M.A.Bradford, Taylor & Francis, 3rd edition 2008 TITLE: Checking a UB compression member. (Example 3.12.1 page 89). SPECIFICATION: A compression member is simply supported at each end and has a central brace of lateral deflection in the minor principal plane. The member is modeled with a cantilever, the bracing conditions are created by means of buckling length coefficients. The design axial load N = 562,5 kN is checked for the assumed section 460UB82.1, steel Grade 300.
SOLUTION: Define a new type of member. For analysed member pre-defined type of member COLUMN may be initially opened. Press the Parameters button in DEFINITIONS/MEMBERS tab, which opens MEMBER DEFINITION – PARAMETERS dialog box. Type a new name Column 1 in the Member Type editable field.
Then, press Buckling Length coefficient Z icon and select the last icon (Intermediate bracing) that opens Internal bracing dialog window. Define the coordinates of the existing bracing, type in: 0.50 (relative) in the Coordinate of the existing bracing edit box. Close dialog box by pressing OK.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
Save the newly-created type of member Column1. In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit State – Serviceability (only Ultimate Limit state will be analysed). Now, start the calculations by pressing Calculations button.
Member Verification dialog box with most significant results data will appear on screen. Pressing the line with results for member 1 opens the RESULTS dialog box with detailed results for the analysed member.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
The view of the RESULTS window is presented below. Moreover, the printout note containing the same results data as in Simplified results tab of the RESULTS window is added.
STEEL DESIGN ---------------------------------------------------------------------------------------------------------------------------------------CODE: AS4100 - 1998 Australian Standard - Steel Structures ANALYSIS TYPE: Member Verification ---------------------------------------------------------------------------------------------------------------------------------------CODE GROUP: MEMBER: 1 BAR_1 POINT: 1 COORDINATE: x = 0.00 L = 0.00 m ---------------------------------------------------------------------------------------------------------------------------------------LOADS: Governing Load Case: 1 STA1 ---------------------------------------------------------------------------------------------------------------------------------------MATERIAL: STEEL 300 fy = 300.00 MPa fu = 440.00 MPa E = 200000.00 MPa G = 80000.00 MPa Fi=0.90 ---------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: UB 460x82.1 d=46.0 cm Ag=105.000 cm2 Iy=37200.000 cm4 Iz=1860.000 cm4 b=19.1 cm An=105.000 cm2 Zy=1617.391 cm3 Zz=194.764 cm3 tw=1.0 cm Awy=61.120 cm2 Sy=1840.000 cm3 Zz=303.000 cm3 tf=1.6 cm Awz=45.540 cm2 J=70.100 cm4 kf=0.97 Ae=101.611 cm2 Zey=1840.000 cm3 Zez=292.147 cm3 ---------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES AND CAPACITIES: N = 562.50 kN N* = 562.50 kN Fi*Ns = 2743.50 kN Fi*Nc = 772.91 kN CLASS: = Slender
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
---------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS: ---------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS: About Y axis: About Z axis: ly = 12.00 m alfa,cy = 0.76 lz = 6.00 m alfa,cz = 0.28 l,ey = 12.00 m Ncy = 2306.14 kN l,ez = 6.00 m Ncz = 858.79 kN lambda,ny = 68.70 lambda,nz = 153.62 ---------------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS: Section strength check: N/(Fi*Ns) = 0.21 < 1.00 (6.1) OK!, Global stability check of member: key*ly/ry = 68.70 < (ke*l/r),max = 200.00 kez*lz/rz = 153.62 < (ke*L/r),max = 200.00 STABLE N*/(Fi*min(Ncy,Ncz)) = 0.73 < 1.00 (6.1) OK!, ----------------------------------------------------------------------------------------------------------------------------------------
Section OK !!!
COMPARISON: Resistance, interaction expression 1. Section capacity ΦNs 2. Member capacity ΦNc
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Robot 2743,50 772,91
Handbook 2777 777
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
VERIFICATION EXAMPLE 2 - Axial compression slender section Example taken from The Behavior and Design of Steel Structures to AS 4100 N.S.Trahair and M.A.Bradford, Taylor & Francis, 3rd edition 2008 TITLE: Section capacity of slender compression member. (Example 4.9.1 page 139). SPECIFICATION: Determine the design axial compression section capacity of the lightly welded I-section of steel strength fy=310 MPa. The member is modeled with a cantilever, the checked section is shown in figure below.
SOLUTION: Define a new type of member. For analysed member pre-defined type of member SIMPLE BAR may be initially opened. Press the Parameters button in DEFINITIONS/MEMBERS tab, which opens MEMBER DEFINITION – PARAMETERS dialog box. Type a new name Simple bar 1 in the Member Type editable field.
Then, select LW – lightly welded longitudinally type in the combo list of General parameters / Residual stresses. Save the newly-created type of member Simple bar1.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit State – Serviceability (only Ultimate Limit state will be analysed). Now, start the calculations by pressing Calculations button.
Member Verification dialog box with most significant results data will appear on screen. Pressing the line with results for member 1 opens the RESULTS dialog box with detailed results for the analysed member.
The view of the RESULTS window is presented below. Moreover, the printout note containing the same results data as in Simplified results tab of the RESULTS window is added.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
STEEL DESIGN ---------------------------------------------------------------------------------------------------------------------------------------CODE: AS4100 - 1998 Australian Standard - Steel Structures ANALYSIS TYPE: Member Verification ---------------------------------------------------------------------------------------------------------------------------------------CODE GROUP: MEMBER: 1 BAR_1 POINT: 1 COORDINATE: x = 0.00 L = 0.00 m ---------------------------------------------------------------------------------------------------------------------------------------LOADS: Governing Load Case: 1 STA1 ---------------------------------------------------------------------------------------------------------------------------------------MATERIAL: STEEL C310 fy = 310.00 MPa fu = 430.00 MPa E = 200000.00 MPa G = 80000.00 MPa Fi=0.9000 ---------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: I-BISYM_1 d=42.0 cm Ag=120.000 cm2 Iy=38960.000 cm4 Iz=10670.000 cm4 b=40.0 cm An=120.000 cm2 Zy=1855.238 cm3 Zz=533.500 cm3 tw=1.0 cm Awy=80.000 cm2 Sy=2040.000 cm3 Zz=1000000.000 cm3 tf=1.0 cm Awz=40.000 cm2 J=39.370 cm4 kf=0.7650 Ae=91.803 cm2 Zey=2040.000 cm3 Zez=800.250 cm3 ---------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES AND CAPACITIES: N = 105.00 kN N* = 105.00 kN Fi*Ns = 2561.29 kN CLASS: = Slender ---------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS: ---------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS: About Y axis: About Z axis: ---------------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS: Section strength check: N/(Fi*Ns) = 0.0410 < 1.0000 (6.1) OK!, ----------------------------------------------------------------------------------------------------------------------------------------
Section OK !!!
COMPARISON: Resistance, interaction expression 1. Section capacity ΦNs
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Robot 2561,29
Handbook 2561
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
VERIFICATION EXAMPLE 3 - Bending – simply supported beam Example taken from The Behavior and Design of Steel Structures to AS 4100 N.S.Trahair and M.A.Bradford, Taylor & Francis, 3rd edition 2008 TITLE: Checking a beam supported at both ends. (Example 6.13.1 page 267). SPECIFICATION: Check the simply supported beam, 12 m long 610UB125 of grade 300 steel shown in the figure below. Lateral deflections are effectively prevented and twist rotations are partially restrained. Design load is a central concentrated top flange load combination (1.25x40)+(1.5x50) = 125 kN.
SOLUTION: Define a new type of member. For analysed member pre-defined type of member BEAM may be initially opened. Press the Parameters button in DEFINITIONS/MEMBERS tab, which opens MEMBER DEFINITION – PARAMETERS dialog box. Type a new name Beam1 in the Member Type editable field.
Then, press upper flange button in the Lateral buckling parameters.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
Select P-Partially restrained for member beginning and end. Close dialog box by pressing OK.
Then, press the icon by the alpha,m in the main dialog Lateral buckling parameters.
Select Concentrated force distant from the axis icon and let the distant equal to 0.0. Close dialog box by pressing OK.
Save the newly-created type of member Beam1. In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit State – Serviceability (only Ultimate Limit state will be analysed). Now, start the calculations by pressing Calculations button.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
Member Verification dialog box with most significant results data will appear on screen. Pressing the line with results for member 1 opens the RESULTS dialog box with detailed results for the analysed member.
The view of the RESULTS window is presented below. Moreover, the printout note containing the same results data as in Simplified results tab of the RESULTS window is added.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
STEEL DESIGN ---------------------------------------------------------------------------------------------------------------------------------------CODE: AS4100 - 1998 Australian Standard - Steel Structures ANALYSIS TYPE: Member Verification ---------------------------------------------------------------------------------------------------------------------------------------CODE GROUP: MEMBER: 1 BAR_1 POINT: 3 COORDINATE: x = 0.50 L = 6.00 m ---------------------------------------------------------------------------------------------------------------------------------------LOADS: Governing Load Case: 3 KOMB1 1*1.25+2*1.50 ---------------------------------------------------------------------------------------------------------------------------------------MATERIAL: STEEL 300 fy = 280.00 MPa fu = 440.00 MPa E = 200000.00 MPa G = 80000.00 MPa Fi=0.90 ---------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: UB 610x125 d=61.2 cm Ag=160.000 cm2 Iy=98600.000 cm4 Iz=3930.000 cm4 b=22.9 cm An=160.000 cm2 Zy=3222.222 cm3 Zz=343.231 cm3 tw=1.2 cm Awy=89.768 cm2 Sy=3680.000 cm3 Zz=536.000 cm3 tf=2.0 cm Awz=72.828 cm2 J=156.000 cm4 kf=1.00 Ae=160.000 cm2 Zey=3680.000 cm3 Zez=514.847 cm3 ---------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES AND CAPACITIES: My = 375.00 kN*m M*y = 375.00 kN*m Fi*Msy = 927.36 kN*m Fi*Mry = 927.36 kN*m Vz = -62.50 kN CLASS: = Compact Fi*Vvz = 1179.81 kN ---------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS: kt = 1.05 kr = 1.00 alfa,m = 1.35 alfa,s = 0.16 kl = 1.40 le = 17.70 m Moa = 190.53 kN*m Fi*Mby = 203.26 kN*m ---------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS: About Y axis: About Z axis: ---------------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS: Section strength check: My/(Fi*Msy) = 0.40 < 1.00 (5.1) OK!, Vz/(Fi*Vvz) = 0.05 < 1.00 (5.11.1) OK!, Global stability check of member: M*y/(Fi*Mby) = 1.84 > 1.00 (5.1) Not OK!, ----------------------------------------------------------------------------------------------------------------------------------------
Incorrect section !!!
COMPARISON: Resistance, interaction expression 1. Section capacity ΦMs 2. Member capacity ΦMb
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Robot 927,36 203,26
Handbook 927,4 202,8
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
VERIFICATION EXAMPLE 4 - Bending – braced beam Example taken from Steel Designers’ Handbook to AS 4100 B.Gorenc, R.Tinyou, A.Syam, UNSW Press, 7th edition 2007 TITLE: Checking a braced beam. (Example 5.3.2 page 113). SPECIFICATION: Check the simply supported beam, 8 m long 360UB50.7 of grade 300 steel shown in the figure below. Top flange has one lateral restraint at the midspan, ends are partially restrained. Nominal loads are permanent action WG=38.4 kN/m and imposed action PQ=10kN, WQ=38.4 kN/m. Design load is a combination of (1.2xG)+(1.5xQ).
SOLUTION: Define a new type of member. For analysed member pre-defined type of member BEAM may be initially opened. Press the Parameters button in DEFINITIONS/MEMBERS tab, which opens MEMBER DEFINITION – PARAMETERS dialog box. Type a new name Beam1 in the Member Type editable field.
Then, press upper flange button in the Lateral buckling parameters.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
Select Intermediate bracings in the Types of flange restraints group. Select P-Partially restrained for member beginning and end. Select L-Laterally restrained for intermediate bracing. Select User-defined definition for Twist restraint factor kt and type in kt = 1,1 value.
Press the icon next to Intermediate bracing, which opens Internal bracing definition window...
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
Define the coordinates of the existing lateral bracing, type in: 0.50 (relative) in the Coordinate of the existing bracing edit box. Close dialog box by pressing OK. Close Lateral buckling coefficients dialog box by pressing OK. Save the newly-created type of member Beam1. In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit State – Serviceability (only Ultimate Limit state will be analysed). Now, start the calculations by pressing Calculations button.
Member Verification dialog box with most significant results data will appear on screen. Pressing the line with results for member 1 opens the RESULTS dialog box with detailed results for the analysed member.
The view of the RESULTS window is presented below. Moreover, the printout note containing the same results data as in Simplified results tab of the RESULTS window is added.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
STEEL DESIGN ---------------------------------------------------------------------------------------------------------------------------------------CODE: AS4100 - 1998 Australian Standard - Steel Structures ANALYSIS TYPE: Member Verification ---------------------------------------------------------------------------------------------------------------------------------------CODE GROUP: MEMBER: 1 BAR_1 POINT: 1 COORDINATE: x = 0.50 L = 4.00 m ---------------------------------------------------------------------------------------------------------------------------------------LOADS: Governing Load Case: 3 KOMB1 1*1.200+2*1.500 ---------------------------------------------------------------------------------------------------------------------------------------MATERIAL: STEEL 300 fy = 300.00 MPa fu = 440.00 MPa E = 200000.00 MPa G = 80000.00 MPa Fi=0.900 ---------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: UB 360x50.7 d=35.6 cm Ag=64.700 cm2 Iy=14200.000 cm4 Iz=960.000 cm4 b=17.1 cm An=64.700 cm2 Zy=797.753 cm3 Zz=112.281 cm3 tw=0.7 cm Awy=39.330 cm2 Sy=897.000 cm3 Zz=173.000 cm3 tf=1.1 cm Awz=25.988 cm2 J=24.100 cm4 kf=1.000 Ae=64.700 cm2 Zey=897.000 cm3 Zez=168.421 cm3 ---------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES AND CAPACITIES: My = 124.68 kN*m M*y = 124.68 kN*m Fi*Msy = 242.19 kN*m Fi*Mry = 242.19 kN*m Vz = -7.50 kN CLASS: = Compact Fi*Vvz = 449.07 kN ---------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS: kt = 1.100 kr = 1.000 alfa,m = 1.424 alfa,s = 0.379 kl = 1.400 le = 6.16 m Moa = 130.49 kN*m Fi*Mby = 130.50 kN*m ---------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS: About Y axis: About Z axis: ---------------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS: Section strength check: My/(Fi*Msy) = 0.515 < 1.000 (5.1) OK!, Vz/(Fi*Vvz) = 0.017 < 1.000 (5.11.1) OK!, Global stability check of member: M*y/(Fi*Mby) = 0.955 < 1.000 (5.1) OK!, ----------------------------------------------------------------------------------------------------------------------------------------
Section OK !!! COMPARISON: Resistance, interaction expression 1. Section capacity ΦMs 2. Member capacity ΦMb
Robot 242,19 130,50
Handbook 242 129
.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
VERIFICATION EXAMPLE 5 - Shear stiffeners Example taken from The Behavior and Design of Steel Structures to AS 4100 N.S.Trahair and M.A.Bradford, Taylor & Francis, 3rd edition 2008 TITLE: Shear capacity of a stiffened plate girder web. (Example 4.9.6 page 142). SPECIFICATION: Determine the design shear capacity of the plate girder web of grade 300 steel shown in figure below with intermediate stiffeners spaced at 1800 mm. The member is modeled with a 9.0 m simple beam.
SOLUTION: Define a new type of member. For analysed member pre-defined type of member BEAM may be initially opened. Press the Parameters button in DEFINITIONS/MEMBERS tab, which opens MEMBER DEFINITION – PARAMETERS dialog box. Type a new name Beam1 in the Member Type editable field.
Then, select LW – lightly welded longitudinally type in the combo list of General parameters / Residual stresses.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
Switch off lateral buckling check by choosing the last icon in the Lateral Buckling Type dialog opened from the main parameters dialog box. Close this dialog box by pressing OK.
In order to define stiffeners positions press Stiffeners button in the main parameters dialog box.
Define stiffeners coordinates along the beam length. Type in the coordinates 0.0 0.2 0.4 0.6 0.8 1.0 (Relative), which gives stiffeners spacing at 1800 mm. Close this dialog box by pressing OK. Save the newly-created type of member Simple bar1. In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit State – Serviceability (only Ultimate Limit state will be analysed). Now, start the calculations by pressing Calculations button.
Member Verification dialog box with most significant results data will appear on screen. Pressing the line with results for member 1 opens the RESULTS dialog box with detailed results for the analysed member.
The view of the RESULTS window is presented below. Moreover, the printout note containing the same results data as in Simplified results tab of the RESULTS window is added.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
STEEL DESIGN ---------------------------------------------------------------------------------------------------------------------------------------CODE: AS4100 - 1998 Australian Standard - Steel Structures ANALYSIS TYPE: Member Verification ---------------------------------------------------------------------------------------------------------------------------------------CODE GROUP: MEMBER: 1 BAR_1 POINT: COORDINATE: x = 0.25 L = 2.25 m ---------------------------------------------------------------------------------------------------------------------------------------LOADS: Governing Load Case: 1 STA1 ---------------------------------------------------------------------------------------------------------------------------------------MATERIAL: STEEL C310 fy = 310.00 MPa fu = 430.00 MPa E = 200000.00 MPa G = 80000.00 MPa Fi=0.90 ---------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: I-BISYM_2 d=154.0 cm Ag=310.000 cm2 Iy=1205463.333 cm4 Iz=21345.833 cm4 b=40.0 cm An=310.000 cm2 Zy=15655.368 cm3 Zz=1067.292 cm3 tw=1.0 cm Awy=160.000 cm2 Sy=17785.000 cm3 Zz=1000000.000 cm3 tf=2.0 cm Awz=150.000 cm2 J=256.401 cm4 kf=1.00 Ae=310.000 cm2 Zey=10778.517 cm3 Zez=1600.938 cm3 ---------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES AND CAPACITIES: My = 759.38 kN*m M*y = 1012.50 kN*m Fi*Msy = 3007.21 kN*m Fi*Mry = 3007.21 kN*m Vz = 225.00 kN CLASS: = Slender Fi*Vvz = 1875.53 kN ---------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS: ---------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS: About Y axis: About Z axis: ----------------------------------------------------------------------------------------------------------------------------------------
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
VERIFICATION FORMULAS: Section strength check: My/(Fi*Msy) = 0.25 < 1.00 (5.1) OK!, Vz/(Fi*Vvz) = 0.12 < 1.00 (5.11.1) OK!, ------------------------------------------------------------------------------------------------------------------------------------
Section OK !!! COMPARISON: Resistance, interaction expression 1. Section capacity ΦVu
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Robot 1875,5
Handbook 1880
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
VERIFICATION EXAMPLE 6 - Biaxial bending Example taken from The Behavior and Design of Steel Structures to AS 4100 N.S.Trahair and M.A.Bradford, Taylor & Francis, 3rd edition 2008 TITLE: Checking the biaxial bending capacity. (Example 7.7.5 page 318). SPECIFICATION: Check the adequacy of the beam-column which is the 250UB37.3 of grade 300 steel. Lateral deflections and twist rotations are prevented at the ends and at mid-span. The member has the static model and design load values shown in the figure below.
SOLUTION: Define a new type of member. For analysed member pre-defined type of member BEAM may be initially opened. Press the Parameters button in DEFINITIONS/MEMBERS tab, which opens MEMBER DEFINITION – PARAMETERS dialog box. Type a new name Beam1 in the Member Type editable field.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
Press the buckling model icon next to the ke,y edit box in the Buckling length coefficient Y frame and select the third model (1.0). Close this dialog box by pressing OK.
Press the load model icon next to the beta,my edit box in the Buckling length coefficient Y frame and select the second model (-1.0). Close this dialog box by pressing OK.
Press the buckling model icon next to the ke,z edit box in the Buckling length coefficient Z frame and select the last model (intermediate bracing). That opens Internal bracing dialog window. Define the coordinates of the existing bracing, type in: 0.50 (relative) in the Coordinate of the existing bracing edit box. Close dialog box by pressing OK.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
Press the buckling model icon next to the ke,x edit box in the Torsional buckling frame and select the first model (0.7). Close dialog box by pressing OK.
Then, press upper flange button in the Lateral buckling parameters.
Select Intermediate bracings in the Types of flange restraints group. Select F-Fully restrained for member beginning and end. Select L-Laterally restrained for intermediate bracing.
Press the icon next to Intermediate bracing, which opens Internal bracing definition window. Define the coordinates of the existing lateral bracing, type in: 0.50 (relative) in the Coordinate of the existing bracing edit box. Close dialog box by pressing OK.
Close Lateral buckling coefficients dialog box by pressing OK.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
Define the same settings for for the lower flange in the Lateral buckling parameters. Press Load level button in the Lateral buckling parameters. Select the first icon, load in the central axis. Close dialog box by pressing OK.
Then, press the icon by the alpha,m in the main dialog Lateral buckling parameters.
Select Concentrated force distant from the axis icon and let the distant equal to 0.0. Close dialog box by pressing OK.
Save the newly-created type of member Simple bar1. In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit State – Serviceability (only Ultimate Limit state will be analysed). Now, start the calculations by pressing Calculations button.
Member Verification dialog box with most significant results data will appear on screen. Pressing the line with results for member 1 opens the RESULTS dialog box with detailed results for the analysed member.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
The view of the RESULTS window is presented below. Moreover, the printout note containing the same results data as in Simplified results tab of the RESULTS window is added.
STEEL DESIGN ---------------------------------------------------------------------------------------------------------------------------------------CODE: AS4100 - 1998 Australian Standard - Steel Structures ANALYSIS TYPE: Member Verification ---------------------------------------------------------------------------------------------------------------------------------------CODE GROUP: MEMBER: 1 BAR_1 POINT: COORDINATE: x = 0.50 L = 4.50 m ---------------------------------------------------------------------------------------------------------------------------------------LOADS: Governing Load Case: 1 STA1 ---------------------------------------------------------------------------------------------------------------------------------------MATERIAL: STEEL 300 fy = 320.00 MPa fu = 440.00 MPa E = 200000.00 MPa G = 80000.00 MPa Fi=0.900 ---------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: UB 250x37.3 d=25.6 cm Ag=47.500 cm2 Iy=5570.000 cm4 Iz=566.000 cm4 b=14.6 cm An=47.500 cm2 Zy=435.156 cm3 Zz=77.534 cm3 tw=0.6 cm Awy=31.828 cm2 Sy=486.000 cm3 Zz=119.000 cm3 tf=1.1 cm Awz=16.384 cm2 J=15.800 cm4 kf=1.000 Ae=47.500 cm2 Zey=486.000 cm3 Zez=116.301 cm3 ---------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES AND CAPACITIES: N = 200.00 kN My = 52.79 kN*m Mz = -8.10 kN*m Vy = 9.00 kN N* = 200.00 kN M*y = 52.79 kN*m M*z = -8.10 kN*m Fi*Vvy = 549.99 kN Fi*Ns = 1368.00 kN Fi*Msy = 139.97 kN*m Fi*Msz = 33.49 kN*m Fi*Nc = 413.13 kN Fi*Mry = 139.97 kN*m Fi*Mrz = 33.49 kN*m Vz = -11.73 kN CLASS: = Compact Fi*Miy = 104.79 kN*m Fi*Miz = 19.68 kN*m Fi*Vvz = 283.12 kN Fi*Moy = 83.00 kN*m Fi*Mcy = 83.00 kN*m ---------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS: kt = 1.000 kr = 1.000 alfa,m = 1.350 alfa,s = 0.486 kl = 1.000 le = 4.50 m Moa = 107.45 kN*m Fi*Mby = 91.81 kN*m ----------------------------------------------------------------------------------------------------------------------------------------
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Autodesk Robot Structural Analysis Professional - Verification Manual for Australian Codes
BUCKLING PARAMETERS: About Y axis: About Z axis: ly = 9.00 m alfa,cy = 0.582 lz = 4.50 m alfa,cz = 0.302 l,ey = 9.00 m Ncy = 884.16 kN l,ez = 4.50 m Ncz = 459.03 kN lambda,ny = 94.03 beta,my = -1.00 lambda,nz = 147.49 beta,mz = 0.20 ---------------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS: Section strength check: N/(Fi*Ns) = 0.146 < 1.000 (6.1) OK!, (My/(Fi*Mry))^1.546 + (Mz/(Fi*Mrz))^1.546 = 0.333 < 1.000 (8.3.4) OK!, Vy/(Fi*Vvy) = 0.016 < 1.000 (5.11.1) OK!, Vz/(Fi*Vvz) = 0.041 < 1.000 (5.11.1) OK!, Global stability check of member: key*ly/ry = 94.03 < (ke*l/r),max = 200.000 kez*lz/rz = 147.49 < (ke*L/r),max = 200.000 STABLE N*/(Fi*min(Ncy,Ncz)) = 0.484 < 1.000 (6.1) OK!, (M*y/(Fi*Mcy))^1.4 + (M*z/(Fi*Miz))^1.4 = 0.819 < 1.000 (8.4.5.1) OK!, ----------------------------------------------------------------------------------------------------------------------------------------
Section OK !!! COMPARISON: 1. 2. 3. 4. 5. 6.
Resistance, interaction expression Section capacity ΦNs Section capacity ΦMsy Section capacity ΦMsz Member capacity ΦMiy Member capacity ΦMiz Member capacity ΦMoy
Robot 1368,00 139,97 33,49 104,79 19,68 83,00
Handbook 1368,0 140,0 33,5 104,7 19,7 84,6
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March 2014
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