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March 2014

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Autodesk Robot Structural Analysis Professional - Verification Manual for EC NAD for Belgium

March 2014 page i

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GENERAL REMARKS………………………………………………………………………………………………………………… ……….4 VERIFICATION EXAMPLE - BENDING WITH LATERAL-TORSIONAL BUCKLING ANALYSIS FOR CANTILEVER ……………………… ………..6


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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 to the problem

- outputs with calculation results and calculation notes

- comparison between Robot results and exact solution

- conclusions.



SSTTEEEELL



Eurocode 3 (Belgian NAD)

NBN EN 1993-1:2005/ AC:2009/

ANB:2010



GENERAL REMARKS

Select preferences corresponding to your example using “Preferences…” or “Job Preferences…” (click Tools).

A. Preferences

To specify your regional settings in PREFERENCES dialog click Tools/ Preferences. Default PREFERENCES dialog opens e.g.:

Select appropriate regional setting (e.g. Belgique) from the selection list

B. Job Preferences

To specify your job preferences in JOB PREFERENCES dialog click Tools/ Job Preferences. Default JOB PREFERENCES dialog opens, e.g.:

You can define a new type of Job Preferences to make it easier in the future. First of all, make selection of documents and parameters appropriate for the project conditions from the list view tabs in JOB PREFERENCES dialog. For example, to choose code, click Design codes tab from the left list view; then select code from Steel/Aluminium structures selection list or press More codes button which opens Configuration of Code List.



Selection of an appropriate code category (e.g. Steel/Aluminum) from the combo box

opens a new suitable list. Set Belgian code as the current code.

Press OK.

After the job preferences decisions are set, you can save it under a new name (e.g. Belgian codes) by pressing Save Job Preferences icon in the JOB PREFERENCES dialog.

1.

2.



VERIFICATION EXAMPLE Bending with lateral-torsional buckling analysis for

a cantilever I-beam

TITLE: Critical moment Mcr for lateral torsional buckling of cantilever I-beam according to Belgian standard.

SPECIFICATION:

Calculate the values of critical moment Mcr for two I300 cantilever beams with a span of 3,0 m.

The material is S235. Applied loads: uniform dead loads of pz = -10,0 kN/m acting on the top of beams. The weight of bars is negligible. The bars are unbraced. Verify:

1. the first bar without warping at the support end (fully fixed) 2. the second one with warping at the support end

SOLUTION: After having defined and calculated the structure models, go to [Steel/Aluminum Design] tab. Define new types of members in accordance with the structure assumptions in DEFINITIONS dialog. It can be set in Member type combo box list. In this example, the beams (numbered 1 and 2) have to be defined as a cantilever for the purposes of a verification.



For easier start, the pre-defined type of member (e.g. “beam”) may be initially opened. On Members tab, for the selected “Beam” from Member type combo box, press the Parameters button. It opens MEMBER DEFINITION - PARAMETERS dialog.

Type a new name in Member type editable field. Next, change the parameters to meet the initial data requirements of the structure. Set (as needed) the following lateral-buckling parameters:

switch on: the Lateral buckling check box or/and Flexural-torsional buckling check box

define the appropriate Lateral buckling length coefficient for a member by pressing Upper/Lower flange. It opens LATERAL BUCKLING LENGTH COEFFICIENTS dialog.



If a defined “Member type” is indicated as a cantilever the new option is activated in the form of the check box "Cantilever without warping effects".

select the appropriate Load level icon

define the appropriate load type for a featured member by pressing [More…] button;



It opens ADDITIONAL PARAMETERS dialog

next, choose the load type by pressing the icon - it opens a new dialog

select Method of calculation

choose Additional sets of member parameters

define bracings for Lateral buckling and Buckling

Can be done in two ways in [MEMBER DEFINITION-MEMBER] dialog:

1st way - by pressing Upper/Lower flange button from Lateral buckling frame

2nd

way - by pressing either “Buckling length coeff.” icon from Buckling frame


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The first method opens LATERAL BUCKLING LENGTH COEFFICIENTS dialog:

The second one opens BUCKING TYPE DIAGRAMS dialog:

For both methods if you click the last icon - Intermediate bracings - the new dialog INTERNAL BRACINGS will appear. In the INTERNAL BRACINGS dialog, there are possibilities to define bracings for buckling and lateral buckling for a currently defined member type independently.

In this particular example no bracings were defined.


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Now, save the newly-created member types under new names.

In the described example two member types were created:

1. “fixed support” prepared for el.1 without warping at the support end (fully fixed) 2. “warping ends” prepared for el.2 with warping at member’s ends.

In DEFINITIONS dialog number of a member must be assigned to the appropriate name of Member type. !!! It is very important when verifying different member types. In DEFINITIONS dialog also any name of member can be entered.


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In the CALCULATIONS dialog set the following: -> Verification options - list of verified members, -> Loads cases - list of chosen loads -> Limit state -> Configuration

Before doing calculations you have to remember to specify appropriate parameters for verification in the CONFIGURATION dialog. Access the CONFIGURATION dialog by clicking the [Configuration] button in the CALCULATIONS dialog.


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Now, start the calculations - press the Calculations button in CALCULATIONS dialog.

MEMBER VERIFICATION dialog with the most significant messages (Messages tab) and results data (Results tab) will appear on screen.

Pressing the line with results for the member 1 opens the RESULTS dialog with detailed results for the analyzed member. The views of the RESULTS dialogs are presented below. Simplified results tab


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Detailed results tab

Pressing the [Calc.Note] button in “RESULTS - Code” dialog opens the printout note for the analyzed member. You can obtain Simplified results printout or Detailed results printout, depending on from which tab the choice was made. The printout note view of Simplified results is presented below.


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SIMPLIFIED RESULTS printout for member no1

STEEL DESIGN ----------------------------------------------------------------------------------------------------------------------------------------

CODE: NBN EN 1993-1:2005/AC:2009/ANB:2010, Eurocode 3: Design of steel structures. ANALYSIS TYPE: Member Verification

----------------------------------------------------------------------------------------------------------------------------------------

CODE GROUP:

MEMBER: 1 without warping node1 POINT: 1 COORDINATE: x = 0.00 L = 0.00 m

----------------------------------------------------------------------------------------------------------------------------------------

LOADS: Governing Load Case: 1 DL1

----------------------------------------------------------------------------------------------------------------------------------------

MATERIAL: S 235 ( S 235 ) fy = 235.00 MPa

----------------------------------------------------------------------------------------------------------------------------------------

SECTION PARAMETERS: IPE 300 h=30.0 cm gM0=1.00 gM1=1.00

b=15.0 cm Ay=36.16 cm2 Az=25.68 cm2 Ax=53.81 cm2

tw=0.7 cm Iy=8356.11 cm4 Iz=603.78 cm4 Ix=19.47 cm4

tf=1.1 cm Wely=557.07 cm3 Welz=80.50 cm3

----------------------------------------------------------------------------------------------------------------------------------------

INTERNAL FORCES AND CAPACITIES: My,Ed = -45.00 kN*m

My,el,Rd = 130.91 kN*m

My,c,Rd = 130.91 kN*m Vz,Ed = 30.00 kN

Tau,z,max,Ed = 15.83 MPa

Mb,Rd = 120.19 kN*m

Class of section = 3

----------------------------------------------------------------------------------------------------------------------------------------

LATERAL BUCKLING PARAMETERS: z = 1.00 Mcr = 305.38 kN*m Curve,LT - b XLT = 0.89

Lcr,low=6.00 m Lam_LT = 0.65 fi,LT = 0.70 XLT,mod = 0.92

----------------------------------------------------------------------------------------------------------------------------------------

BUCKLING PARAMETERS:

About y axis: About z axis: ---------------------------------------------------------------------------------------------------------------------------------------- VERIFICATION FORMULAS: Section strength check:

My,Ed/My,c,Rd = 0.34 < 1.00 (6.2.5.(1))

sqrt(Sig,x,Ed*^2 + 3*Tau,z,max,Ed^2)/(fy/gM0) = 0.34 < 1.00 (6.2.1.(5))

Tau,z,max,Ed/(fy/(sqrt(3)*gM0)) = 0.12 < 1.00 (6.2.6.(4))

Global stability check of member:

My,Ed/Mb,Rd = 0.37 < 1.00 (6.3.2.1.(1))

----------------------------------------------------------------------------------------------------------------------------------------

Section OK !!!


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You can also estimate the verifications for the other section or e.g. lighter IPE section in a convenient quick way:

while still in RESULTS-CODE dialog, type the required section name only in the combo box and choose the new section from a list, e.g. HEA 160.

Press ENTER. Calculations and results for entered section are refreshed instantly.

The results printout for the newly selected section can be presented by pressing [Calc.Note] button.


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COMPARISON of Critical Moment Mcr [kNm]

for lateral-torsional buckling of a cantilever members:

a support of cantilever

RSA manually calculated CTiCM

LTBeam according to Belgium NBN EN

IPE 300

fully fixed 305,4 305,9 305,5

fixed with warping 158,3 158,7 133,3

HEA 160

fully fixed 231,9 233,1

fixed with warping

151,7 128,2

CONCLUSIONS: Belgium NBN EN 1993-1:2005/ AC:2009/ ANB:2010 standard provides formulas for calculating Mcr for a cantilever for two types of its support:

1. without warping at the support end (fully fixed) 2. with warping at the support end (fixed with warping).

Agreement of Mcr results for:

manually calculated & RSA - for all cases calculated according to Belgium standard;

CTiCM LTBeam software & RSA (NBN code) – for a cantilever without warping at the support end (fully fixed).

The differences between the results of calculations carried out according to Belgium standard and CTiCM LTBeam software appear for the case of beams with possiblitty of warping at both ends (these differences resulting from the use of other verification formulas in the above mentioned standards).

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