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Autodesk
™
Robot Structural Analysis
Professional
VERIFICATION MANUAL
FOR SWEDISH CODES
March 2014
Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
INTRODUCTION ..............................................................................................................................................................................1
STEEL ..............................................................................................................................................................................................2
1. BSK 99 .........................................................................................................................................................................................3
VERIFICATION EXAMPLE 1 - SIMPLY FLEXURAL MEMBER SUPPORTED AGAINST LATERAL BUCKLING .............................................4
VERIFICATION EXAMPLE 2 - SIMPLY FLEXURAL MEMBER NOT SUPPORTED AGAINST LATERAL BUCKLING ......................................7
VERIFICATION EXAMPLE 3 - AXIAL COMPRESSION ..................................................................................................................11
VERIFICATION EXAMPLE 4 - COMBINED WEAK AXIS BENDING AND AXIAL COMPRESSION ............................................................15
VERIFICATION EXAMPLE 5 - IPE PROFILE LOADED IN UNI-AXIAL BENDING / AXIAL COMPRESSION I ..............................................19
VERIFICATION EXAMPLE 6 - IPE PROFILE LOADED IN UNI-AXIAL BENDING / AXIAL COMPRESSION II .............................................23
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
INTRODUCTION
This verification manual contains numerical examples for 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
- hand calculations notes (only Norwegian code).
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
STEEL
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
1. BSK 99
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
VERIFICATION EXAMPLE 1
- Simply flexural member supported against lateral
buckling
Example taken from handbook
DIMENSIONERING ENLIGT BSK
Stalbyggnadsinstituten; Publication 99; April 1990
written by Kurt Lundin
TITLE:
Simply flexural member supported against lateral buckling (page 107).
SPECIFICATION:
Design a simply supported beam spanning 4,0 m to carry a uniformly distributed load of qd = 18,0
kN/m. Assume that considered beam is laterally supported. Safety class 2 should also be taken into
consideration. It has been suggested that IPE 180 shape might be initially used. Use SS1412 steel
(fyk=260 MPa).
SOLUTION:
For analysed member pre-defined type of member MEMBER may be used. It can be set in Member
type combo-box. Any additional changes in MEMBER set of parameters are not necessary.
In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit
State – Service (only Ultimate Limit state will be analysed). Now, start the calculations by pressing
Calculation button.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish 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.
RESULTS:
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
STEEL DESIGN
--------------------------------------------------------------------------------------------------------------------------------------CODE: BSK 99
ANALYSIS TYPE: Member Verification
--------------------------------------------------------------------------------------------------------------------------------------CODE GROUP:
MEMBER: 1
POINT: 2
COORDINATE: x = 0.50 L = 2.00 m
--------------------------------------------------------------------------------------------------------------------------------------LOADS:
Governing Load Case: 1 TEST
--------------------------------------------------------------------------------------------------------------------------------------MATERIAL
SS1412
fyk = 260.00 MPa
gm = 1.00 - Partial coefficient for tolerances
gn = 1.10 - Partial coefficient for safety class
--------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: IPE 180
ht=18.00 cm
bf=9.10 cm
Ay=14.560 cm2
Az=9.540 cm2
Ax=23.950 cm2
tw=0.53 cm
Iy=1317.000 cm4
Iz=100.900 cm4
Ix=4.800 cm4
tf=0.80 cm
Wely=146.333 cm3
Welz=22.176 cm3
--------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES
Msyd = 36.00 kN*m
--------------------------------------------------------------------------------------------------------------------------------------CAPACITIES
Mryd = 39.24 kN*m
KL = 1
N,y = 1.13
--------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS:
--------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS:
About Y axis:
About Z axis:
---------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS:
Section check
Msyd/Mryd = 0.92 < 1.00 (BSK 6:243)
---------------------------------------------------------------------------------------------------------------------------------------
Section OK !!!
COMPARISON:
Resistance, interaction expression
Design moment about Y-axis Msyd [kNm]
Moment capacity about Y-axis Mryd [kNm]
Check of the formula Msyd/Mryd < 1.00
(Section check 6:243 from the BSK99 code
March 2014
Robot
36,00
39,24
0,92
HANDBOOK
36,00
39,3
0,92
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
VERIFICATION EXAMPLE 2
- Simply flexural member not supported against lateral
buckling
Example taken from handbook
DIMENSIONERING ENLIGT BSK
Stalbyggnadsinstituten; Publication 99; April 1990
written by Kurt Lundin
TITLE:
Simply flexural member not supported against lateral buckling (page 108).
SPECIFICATION:
Design a simply supported beam spanning 9,0 m to carry a two concentrated forces of
Fd = 50,0 kN (as shown aside). Assume that considered beam is laterally supported at the points of
load application. Safety class 2 should also be taken into consideration. It has been suggested that
HEA 240 shape might be initially used. Use SS1412 steel (fyk=260MPa).
SOLUTION:
Define a new type of member. For analysed member pre-defined type of member MEMBER may be
initially used. It can be set in Member type combo-box. Press the Parameters button in DEFINITIONMEMBERS tab, which opens MEMBER DEFINITION – PARAMETERS dialog box. Type a new name
GIRDER1 in the Member Type editable field. Switch Lateral buckling check-box on. For defining
internal supports against lateral buckling select Lateral buckling length coef. – Upper Flange button.
Then choose Intermediate bracings button that opens Internal Bracings dialog box. Switch on radiobutton real that is a part of Coordinate of the existing bracing field. In editable field put 2 co-ordinates
of lateral supports (3,0 and 6,0). Close dialog by pressing OK. Save the newly-created type of
member.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit
State – Service (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.
RESULTS:
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
STEEL DESIGN
--------------------------------------------------------------------------------------------------------------------------------------CODE: BSK 99
ANALYSIS TYPE: Member Verification
--------------------------------------------------------------------------------------------------------------------------------------CODE GROUP:
MEMBER: 1
POINT: 2
COORDINATE: x = 0.50 L = 4.50 m
--------------------------------------------------------------------------------------------------------------------------------------LOADS:
Governing Load Case: 1 TEST
--------------------------------------------------------------------------------------------------------------------------------------MATERIAL
SS1412
fyk = 260.00 MPa
gm = 1.00 - Partial coefficient for tolerances
gn = 1.10 - Partial coefficient for safety class
--------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: HEA 240
ht=23.00 cm
bf=24.00 cm
Ay=57.600 cm2
Az=17.250 cm2
Ax=76.840 cm2
tw=0.75 cm
Iy=7763.180 cm4
Iz=2768.810 cm4
Ix=41.700 cm4
tf=1.20 cm
Wely=675.059 cm3
Welz=230.734 cm3
--------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES
Msyd = 150.00 kN*m
--------------------------------------------------------------------------------------------------------------------------------------CAPACITIES
Mryd = 176.02 kN*m
KL = 1
N,y = 1.10
--------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS:
L1 = 3.00 m
Lam,b = 0.48
Msycd = 150.00 kN*m
M1cr = 835.35 kN*m
Om,b = 0.99
Mrycd = 174.90 kN*m
--------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS:
About Y axis:
About Z axis:
---------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS:
Section check
Msyd/Mryd = 0.85 < 1.00 (BSK 6:243)
Vszd/Vrzd = 0.00 < 1.00 (BSK 6:261)
Member stability check
Msycd/Mrycd = 0.86 < 1.00 (BSK 6:243b)
---------------------------------------------------------------------------------------------------------------------------------------
Section OK !!!
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
COMPARISON:
Resistance, interaction expression
Design moment about Y-axis Msyd [kNm]
Moment capacity about Y-axis Mryd [kNm]
Lateral moment capacity about Y-axis Mrycd [kNm]
Check of the formula Msyd/Mryd < 1.00
(Section check 6:243 from the BSK99 code)
Check of the formula Msycd/Mrycd < 1.00
(Member stability check 6:243b from the BSK99 code)
Robot
150,00
176,02
174,90
0,85
HANDBOOK
150,00
176
172
0,85
0,86
0,87
CONCLUSION:
Small differences are caused by different way of rounding-off the cross sectional properties (cross
sectional area, section modulus, moment of inertia).
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
VERIFICATION EXAMPLE 3
- Axial compression
Example taken from handbook
DIMENSIONERING ENLIGT BSK
Stalbyggnadsinstituten; Publication 99; April 1990
written by Kurt Lundin
TITLE:
Axial compression (page 111).
SPECIFICATION:
A HEA 240 column is required to carry a factored load of 850 kN. The effective length along the weak
axis is Lcy = 5,5 m. Assume that safety class = 3 and the column is made of SS1412 steel
(fyk=240MPa).
SOLUTION:
For analysed member pre-defined type of member COLUMN may be used. It can be set in Member
type combo-box. Any additional changes in COLUMN set of parameters are not necessary.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit
State – Service (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.
RESULTS:
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
STEEL DESIGN
--------------------------------------------------------------------------------------------------------------------------------------CODE: BSK 99
ANALYSIS TYPE: Member Verification
--------------------------------------------------------------------------------------------------------------------------------------CODE GROUP:
MEMBER: 1
POINT: 1
COORDINATE: x = 0.00 L = 0.00 m
--------------------------------------------------------------------------------------------------------------------------------------LOADS:
Governing Load Case: 1 DL1
--------------------------------------------------------------------------------------------------------------------------------------MATERIAL
SS1412
fyk = 260.00 MPa
gm = 1.00 - Partial coefficient for tolerances
gn = 1.20 - Partial coefficient for safety class
--------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: HEA 240
ht=23.00 cm
bf=24.00 cm
Ay=57.600 cm2
Az=17.250 cm2
Ax=76.840 cm2
tw=0.75 cm
Iy=7763.180 cm4
Iz=2768.810 cm4
Ix=41.700 cm4
tf=1.20 cm
Wely=675.059 cm3
Welz=230.734 cm3
--------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES
Nsd = 850.00 kN
--------------------------------------------------------------------------------------------------------------------------------------CAPACITIES
Nrd = 1664.87 kN
KL = 1
--------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS:
--------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS:
About Y axis:
About Z axis:
Ly = 5.50 m
Lam,yc = 0.61
Lz = 5.50 m
Lam,zc = 1.03
Bet,ly = 1.00
curve,y: b
Bet,lz = 1.00
curve,z: c
Lcy = 5.50 m
Om,yc = 0.82
Lcz = 5.50 m
Om,zc = 0.51
Lam,y = 54.72
Nrycd = 1372.64 kN
Lam,z = 91.62
Nrzcd = 841.93 kN
--------------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS:
Section check
Nsd/Nrd = 0.51 < 1.00 (BSK 6:23)
Member stability check
Nsd/Nrzcd = 1.01 > 1.00 (BSK 6:23)
---------------------------------------------------------------------------------------------------------------------------------------
Incorrect section!!!
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
COMPARISON:
Resistance, interaction expression
Axial compression capacity (without buckling) Nrd [kNm]
Buckling coefficient about Z-axis zc [1]
Axial buckling capacity about Z-axis Nrzcd [kNm]
Check of the formula Nsd/Nrd < 1.00
(Section check 6:23 from the BSK99 code
Check of the formula Nsd/Nrzcd < 1.00
(Member stability check 6:23 from the BSK99 code
Robot
1664,87
0,51
841,93
0,51
HANDBOOK
1660
0,5
830
0,51
1,01
1,02
CONCLUSION:
Small differences are caused by different way of rounding-off the cross sectional properties (cross
sectional area, section modulus, moment of inertia).
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
VERIFICATION EXAMPLE 4
- Combined weak axis bending and axial compression
Example taken from handbook
DIMENSIONERING ENLIGT BSK
Stalbyggnadsinstituten; Publication 99; April 1990
written by Kurt Lundin
TITLE:
Combined weak axis bending and axial compression (page 113).
SPECIFICATION:
Investigate the acceptability of IPE 240 section used as a beam-column under the loading shown
aside. The effective length Lcy,z along both axes is 1,0*Ly =1,0*Lz = 3 m. Assume that safety class = 2
and the column is made of SS1412 steel (fyk=260MPa).
SOLUTION:
For analysed member pre-defined type of member COLUMN may be used. It can be set in Member
type combo-box. Any additional changes in COLUMN set of parameters are not necessary.
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit
State – Service (only Ultimate Limit state will be analysed). Now, start the calculations by pressing
Calculation 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.
RESULTS:
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
STEEL DESIGN
--------------------------------------------------------------------------------------------------------------------------------------CODE: BSK 99
ANALYSIS TYPE: Member Verification
--------------------------------------------------------------------------------------------------------------------------------------CODE GROUP:
MEMBER: 1
POINT: 2
COORDINATE: x = 0.50 L = 1.50 m
--------------------------------------------------------------------------------------------------------------------------------------LOADS:
Governing Load Case: 1 DL1
--------------------------------------------------------------------------------------------------------------------------------------MATERIAL
SS1412
fyk = 260.00 MPa
gm = 1.00 - Partial coefficient for tolerances
gn = 1.10 - Partial coefficient for safety class
--------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: IPE 240
ht=24.00 cm
bf=12.00 cm
Ay=23.520 cm2
Az=14.880 cm2
Ax=39.120 cm2
tw=0.62 cm
Iy=3892.000 cm4
Iz=283.600 cm4
Ix=12.900 cm4
tf=0.98 cm
Wely=324.333 cm3
Welz=47.267 cm3
--------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES
Nsd = 180.00 kN
Mszd = -4.50 kN*m
Mszbd = -4.50 kN*m
--------------------------------------------------------------------------------------------------------------------------------------CAPACITIES
Nrd = 924.65 kN
Mrzd = 13.97 kN*m
KL = 1
N,z = 1.25
--------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS:
--------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS:
About Y axis:
About Z axis:
Ly = 3.00 m
Lam,yc = 0.34
Lz = 3.00 m
Lam,zc = 1.25
Bet,ly = 1.00
curve,y: a
Bet,lz = 1.00
curve,z: b
Lcy = 3.00 m
Om,yc = 0.97
Lcz = 3.00 m
Om,zc = 0.43
Lam,y = 30.08
Nrycd = 895.38 kN
Lam,z = 111.42
Nrzcd = 395.82 kN
--------------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS:
Section check
Mszd/Mrzd = 0.32 < 1.00 (BSK 6:243)
Member stability check
(Nsd/Nrzcd)^ac + (Mszbd/Mrzd)^gzc = 0.91 < 1.00 (BSK 6:252b)
---------------------------------------------------------------------------------------------------------------------------------------
Section OK!!!
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
COMPARISON:
Resistance, interaction expression
Buckling coefficient about Z-axis zc [1]
Axial buckling capacity about Z-axis Nrzcd [kNm]
Moment capacity about Z-axis Mrzd [kNm]
Check of the formula Mszd/Mrzd < 1.00
(Section check 6:243 from the BSK99 code
Check of the formula
(Nsd/Nrzcd)^ac + (Mszbd/Mrzd)^gzc < 1.00
(Member stability check 6:252b from the BSK99 code
Robot
0,43
395,82
13,97
0,32
HANDBOOK
0,43
390
14
0,32
0,91
0,92
CONCLUSION:
Small differences are caused by different way of rounding-off the cross sectional properties (cross
sectional area, section modulus, moment of inertia).
March 2014
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
VERIFICATION EXAMPLE 5
- IPE profile loaded in uni-axial bending / axial
compression I
Example taken from handbook
DIMENSIONERING ENLIGT BSK
Stalbyggnadsinstituten; Publication 99; April 1990
written by Kurt Lundin
TITLE:
IPE profile loaded in uni-axial bending and axial compression (page 116).
SPECIFICATION:
The column shown aside is pinned at the both ends about y-y and z-z axes. Additionally the column is
protected against buckling about weak Z axis. The effective length Lcy along strong Y axis is 1,0*Ly = 8
m. For the design value of the compressive force Nsd =500 kN and bending moment Msyd=150 kNm
check the column made of SS1412 steel. It has been suggested that a IPE 360 section may be
considered. Safety class 3 should be taken into calculations.
SOLUTION:
Define a new type of member. For analysed member pre-defined type of member COLUMN may be
initially opened. It can be set in Member type combo-box. Press the Parameters button in
DEFINITION-MEMBERS tab, which opens MEMBER DEFINITION – PARAMETERS dialog box. Type
a new name Column 1 in the Member Type editable field. Then select Buckling length coef Z icon. In
Buckling type diagrams dialog choose X icon for disabling the possibility of buckling about Z axis.
Save the newly-created type of member.
March 2014
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit
State – Service (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.
RESULTS:
March 2014
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
STEEL DESIGN
--------------------------------------------------------------------------------------------------------------------------------------CODE: BSK 99
ANALYSIS TYPE: Member Verification
--------------------------------------------------------------------------------------------------------------------------------------CODE GROUP:
MEMBER: 1
POINT: 3
COORDINATE: x = 1.00 L = 8.00 m
--------------------------------------------------------------------------------------------------------------------------------------LOADS:
Governing Load Case: 1 DL1
--------------------------------------------------------------------------------------------------------------------------------------MATERIAL
SS1412
fyk = 260.00 MPa
gm = 1.00 - Partial coefficient for tolerances
gn = 1.20 - Partial coefficient for safety class
--------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: IPE 360
ht=36.00 cm
bf=17.00 cm
Ay=43.180 cm2
Az=28.800 cm2
Ax=72.730 cm2
tw=0.80 cm
Iy=16270.000 cm4
Iz=1043.000 cm4
Ix=37.500 cm4
tf=1.27 cm
Wely=903.889 cm3
Welz=122.706 cm3
--------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES
Nsd = 500.00 kN
Msyd = 150.00 kN*m
Msybd = 90.00 kN*m
Vszd = 18.75 kN
--------------------------------------------------------------------------------------------------------------------------------------CAPACITIES
Nrd = 1575.82 kN
Mryd = 221.00 kN*m
KL = 1
N,y = 1.13
Vrzd = 388.58 kN
--------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS:
--------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS:
About Y axis:
About Z axis:
Ly = 8.00 m
Lam,yc = 0.60
Bet,ly = 1.00
curve,y: a
Lcy = 8.00 m
Om,yc = 0.89
Lam,y = 53.49
Nrycd = 1395.92 kN
--------------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS:
Section check
(Nsd/Nrd)^g0 + Msyd/Mryd = 0.91 < 1.00 (BSK 6:251a)
Vszd/Vrzd = 0.05 < 1.00 (BSK 6:261)
Member stability check
(Nsd/Nrycd)^gyc + Msybd/Mryd = 0.72 < 1.00 (BSK 6:252a)
---------------------------------------------------------------------------------------------------------------------------------------
Section OK!!!
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
COMPARISON:
Resistance, interaction expression
Axial buckling capacity about Y-axis Nrycd [kN]
Equivalent design moment ( for buckling) Msybd [kNm]
Moment capacity about Y-axis Mryd [kNm]
Check of the formula (Nsd/Nrycd)^gyc + Msybd/Mryd < 1.00
(Stability check 6:252a from the BSK99 code)
Check of the formula (Nsd/Nrd)^g0 + Msyd/Mryd < 1.00
(Section check 6:251a from the BSK99 code)
Robot
1395,92
90,00
221,00
0,72
HANDBOOK
1400
90
221
0,72
0,91
0,91
CONCLUSION:
Small differences are caused by different way of rounding-off the cross sectional properties (cross
sectional area, section modulus, moment of inertia).
March 2014
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
VERIFICATION EXAMPLE 6
- IPE profile loaded in uni-axial bending / axial
compression II
Example taken from handbook
DIMENSIONERING ENLIGT BSK
Stalbyggnadsinstituten; Publication 99; April 1990
written by Kurt Lundin
TITLE:
IPE profile loaded in uni-axial bending and axial compression (page 120).
SPECIFICATION:
The column shown aside is pinned at the both ends about y-y and z-z axes. The effective lengths
along both axes are Lcy = Lcz = 1,0*Ly = 2,4 m. For the design value of the compressive force Nsd =200
kN and two equal end moments Msyd=120 kNm check the column made of SS1412 steel. It has been
suggested that a IPE 300 section may be considered. Safety class 2 should be taken into calculations.
SOLUTION:
Define a new type of member. For analysed member pre-defined type of member COLUMN may be
initially opened. It can be set in Member type combo-box. Press the Parameters button in
DEFINITION-MEMBERS tab, which opens MEMBER DEFINITION – PARAMETERS dialog box. Type
a new name Column 1 in the Member Type editable field. Switch Lateral buckling check-box on. Save
the newly-created type of member.
March 2014
page 23 / 26
Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
In the CALCULATIONS dialog box set Member Verification option for member 1 and switch off Limit
State – Service (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.
RESULTS:
March 2014
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
STEEL DESIGN
--------------------------------------------------------------------------------------------------------------------------------------CODE: BSK 99
ANALYSIS TYPE: Member Verification
--------------------------------------------------------------------------------------------------------------------------------------CODE GROUP:
MEMBER: 1
POINT: 1
COORDINATE: x = 0.00 L = 0.00 m
--------------------------------------------------------------------------------------------------------------------------------------LOADS:
Governing Load Case: 1 DL1
--------------------------------------------------------------------------------------------------------------------------------------MATERIAL
SS1412
fyk = 260.00 MPa
gm = 1.00 - Partial coefficient for tolerances
gn = 1.10 - Partial coefficient for safety class
--------------------------------------------------------------------------------------------------------------------------------------SECTION PARAMETERS: IPE 300
ht=30.00 cm
bf=15.00 cm
Ay=32.100 cm2
tw=0.71 cm
Iy=8356.000 cm4
tf=1.07 cm
Wely=557.067 cm3
Az=21.300 cm2
Iz=603.800 cm4
Welz=80.507 cm3
Ax=53.810 cm2
Ix=20.200 cm4
--------------------------------------------------------------------------------------------------------------------------------------INTERNAL FORCES
Nsd = 200.00 kN
Msyd = 120.00 kN*m
Msybd = 120.00 kN*m
--------------------------------------------------------------------------------------------------------------------------------------CAPACITIES
Nrd = 1271.87 kN
Mryd = 148.44 kN*m
KL = 1
N,y = 1.13
--------------------------------------------------------------------------------------------------------------------------------------LATERAL BUCKLING PARAMETERS:
L1 = 2.40 m
Lam,b = 0.67
Msycd = 120.00 kN*m
M1cr = 366.35 kN*m
Om,b = 0.93
Mrycd = 138.29 kN*m
--------------------------------------------------------------------------------------------------------------------------------------BUCKLING PARAMETERS:
About Y axis:
About Z axis:
Ly = 2.40 m
Lam,yc = 0.22
Lz = 2.40 m
Lam,zc = 0.80
Bet,ly = 1.00
curve,y: a
Bet,lz = 1.00
curve,z: b
Lcy = 2.40 m
Om,yc = 1.00
Lcz = 2.40 m
Om,zc = 0.71
Lam,y = 19.26
Nrycd = 1267.47 kN
Lam,z = 71.65
Nrzcd = 901.24 kN
--------------------------------------------------------------------------------------------------------------------------------------VERIFICATION FORMULAS:
Section check
(Nsd/Nrd)^g0 + Msyd/Mryd = 0.90 < 1.00 (BSK 6:251a)
Member stability check
(Nsd/Nrzcd)^ac + (Msybd/Mrycd)^bc + (Mszbd/Mrzd)^gzc = 0.92 < 1.00 (BSK 6:253b)
---------------------------------------------------------------------------------------------------------------------------------------
Section OK !!!
March 2014
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Autodesk Robot Structural Analysis Professional - Verification Manual for Swedish Codes
COMPARISON:
Resistance, interaction expression
Axial buckling capacity about Z-axis Nrzcd [kN]
Equivalent design moment ( for buckling) Msybd [kNm]
Moment capacity about Y-axis Mryd [kNm]
Lateral moment capacity about Mrycd Y-axis [kNm]
Check of the formula (Nsd/Nrzcd)^ac + (Msybd/Mrycd)^bc +
(Mszbd/Mrzd)^gzc < 1.00
(Stability check 6:253b from the BSK99 code)
Robot
901,24
120,00
148,44
138,29
HANDBOOK
900
120,00
149
136
0,92
0,91
CONCLUSION:
Small differences are caused by different way of rounding-off the cross sectional properties (cross
sectional area, section modulus, moment of inertia).
March 2014
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