Static and Dynamic Analysis of Spaceframes

R RM M2 20 00 00 0 Static and Dynamic Analysis of Spaceframes

Trang 2

Disclaimer and Copyright

RM2000 and GP2000 © Copyright and support in Central Europe

Microsoft Windows © Copyright Microsoft Corporation

Trang 3

RM2000 and GP2000 © Copyright and support in Central Europe:

TDV - Technische Datenverarbeitung Gesellschaft m.b.H

Heinz Pircher und Partner

Gleisdorfer Gasse 5

A-8010 GRAZ, AUSTRIA

Tel.: +43-316-821531-0 Fax: +43-316-823552-12

E-mail: office@tdv.at Internet: http://www.tdv.at

Support in Northern Europe:

tda - Teknisk Data AS

Ostensjoveien 18

N-0661 OSLO, NORWAY

E-mail: arne.bruer@tda-as.no Internet: http://www.tda-as.no

Support in Portugal and Spain:

GIPAC - Gabinete de Informática e Projecto Assistido por Computador, Lda

Rua Carlos Seixas 176, 1° Dto

E-mail: mjbyeon@dti.co.kr Internet: http://www.dti.co.kr

Support in the United States and Canada:

ANATECH - Consulting Engineers

Linking Theory and Practice

QE Design Systems (S) Pte Ltd

24 Peck Seah Street

Trang 4

RM2000/GP2000 Contents

Contents

CONTENTS I

PIER SUPPORT DEFINITION USING GP2000 1

MULTIPLE BEARING/SPRING SUPPORT DEFINITION USING GP2000 2

MULTIPLE BEARING SUPPORT DEFINITION FOR TWIN GIRDERS USING GP2000 4

MULTIPLE BRG SUP DEF N - TWIN GIRDERS PLUS TWIN PIERS - GP2000 6

CROSS SECTION WITH VARIABLE DEPTH USING GP2000 9

ORTHOGONAL GRILLAGE DEFINITION USING GP2000 10

COMPOSITE DEFINITION USING GP2000 12

TENDON DEFINITION & CALCULATION USING RM2000 13

CREEP & SHRINKAGE CALCULATION USING RM2000 15

LOAD MANAGE DEFINITION USING RM2000 17

STAGE DEFINITION & CALCULATION USING RM2000 18

FIBRE STRESS CHECK CALCULATION 19

NONLINEAR TEMPERATURE GRADIENT CALCULATION 20

DEFINING A LIVE LOAD USING RM2000 22

USING ‘ADDCON’ (KASP) WITH A SIMPLE EXAMPLE 24

USING ‘ADDCON’ WITH A SIMPLE CABLE STAY BRIDGE EXAMPLE 25

RESPONSE SPECTRUM CALCULATION USING RM2000 27

ULTIMATE MOMENT CHECK 28

PLOTTING THE RESULTS IN RM2000 30

Trang 5

RM2000/GP2000 Pier Support Definition using GP2000

Pier Support Definition using GP2000

Then continue as follows:

Assign CS and Numbering

Add Connection

(Spring 1205)

Insert a new Connection

Define the 1stConnection Point (LH Window)

Define the 2ndConnection Point (RH Window) Constants

Cross-Section

- Choose a name

- Change typ to “Pier”

- Check/modify Reference Segment

- Check/modify Segment Point

- Choose the Connection Point (CP0) Repeat assigning a cross-section andnumbering procedure for the Column

Attention: The height “0” is the top

of the support/column!

See Multiple Bearing FC

Choose the required Column segment, change to the segment list and choose the segment point to be connected (usually last segment point)

Spring Between 2 Nodes

Element Number (1205 here) Node 1: (1205 here), not eccentric Node 2: (111 here), eccentric

Trang 6

RM2000/GP2000 Multiple Bearing/Spring Support Definition using GP2000

Multiple Bearing/Spring Support Definition using GP2000

Node 0 Spring Element 1100

The element start and end for the eccentric springs are defined by the directions CP0 → CP1 or vice versa and CP0 → CP2 or vice versa

N.B CP1 is the position of the bearing element 1101 CP2 Is the position of the bearing element 1102

Select Reference Point Group and insert a new one – called “Supports” – for example

Choose a reference point icon, select the required section point, choose “Connection Point” from the list and assign a name say “CP0” (define the support points CP0, CP1 and CP2)

inter-Choose the axis segment, change to the segment list and select the segment point for the spring connection

“Station ‘0’ for example

Select Connection Choose “Insert” in the new input window

LH Window – Segment Point 1 Part 1

Check/modify the segment point and part to be ted

connec-Select “Spring-0” ( for connection to ground Select “CP0” (located at the spring element end node) for the connection point in “Connection window”

N.B The connection to node ‘0’ is automatically signed

as-Add Connection

Points

Cross-Section

Reference Point Group

Define the nection Points

Define the 1stConnection Point(LH Window)

Supposition: Axis, Cross Section for girder plus Segment numbering and assignment and Part

num-bering and assignment already made

Trang 7

RM2000/GP2000 Multiple Bearing/Spring Support Definition using GP2000

Select Constants

Number the Element

Spring Between

2 Nodes

Define the 1stConnection Point

Define the 2ndConnection Point Constants

Repeat dure

Select Constants to modify spring stiffness , elementnumbers and eccentric connections

Enter the Element number (1100 for the spring fromground (Node ‘0’) to CP0 (Node ‘1100’)

De-select ‘Conn To node for part’ for Node 2 andenter ‘1100’ for the node

Change default spring and support constants if sary Confirm with OK twice N.B The defaultorientation for the spring is: The local X-directionvertical: Vertical support – Cx=1e8kN/m

neces-Choose “Insert” to define the connection for springelement 1101 (Element 1101 is located at position

‘CP1’) - Connect node 1100 to node 101 with tric connections

eccen-LH Window – Segment Point 1 Part 1

Check/modify the segment point and part to be nected

con-Select Spring between 2 Nodes

Select “CP0” (located at the spring element ground end node) for the connection point in the

–to-“Connection Point window”

Select “CP1” (located at the LH bearing posn ) forthe connection point in the “Connection Point win-dow”

Select Constants to modify spring stiffness , elementnumbers and eccentric connections

Put in the Element number (1101) for the LH ing (from CP0 (Node ‘1100’) to girder element node

Bear-‘101’)

Select: Conn to “node for part” for node 2

( The end node (node 2) of the spring will then beautomatically connected to the girder node 101) De-select: Conn to “node for part” for node 1 andenter ‘1100’ for the start node number for node 1

Repeat the above procedure for RH Bearing Element(number 1102)

Spring between 2 nodes Connn pnt CP0 – LH window Connn pnt CP2 – RH window Element 1102

De-select for node 1 enter ‘1100’

Trang 8

RM2000/GP2000Multiple Bearing Support Definition for twin girders using GP2000

Multiple Bearing Support Definition for twin girders using

Select Reference Point Group and insert a new one – called “Supports” – for example

Choose a reference point icon, select the required tion point, choose “Connection Point” from list and assign

intersec-a nintersec-ame sintersec-ay “CP0” (define the connection points CP0, CP1 and CP2)

Choose the axis segment, change to the segment list and select the segment point for the spring connection

“Station ‘0’ for example

Select connection Choose “Insert” in the new input window

Check/modify the segment point and part to be connected Select “Spring-0” ( for connection to ground)

Select “CP0” (located at the spring element end node) forthe connection point in the “Connection Point window” N.B The connection to node ‘0’ is automatically assigned

Define the 1stConnection Pint

(LH Window)

Node 0 Spring Element 1100

Supposition: Axis, Cross Section for girder plus Segment

num-bering and assignment and Part numnum-bering and signment already made

Trang 9

as-RM2000/GP2000Multiple Bearing Support Definition for twin girders using GP2000

Select Constants

Number the Element

Spring Between

2 Nodes

Define the 1stConnection Point (LH Window)

Define the 2ndConnection Point (RH Window) Constants

Check/modify the segment point and part to be connected Select “Spring between 2 Nodes”

Select CP0 ( located at the spring element end node) for the connection point in the „Connection point window“ and set Part to „1“

Select CP2 ( located at the RH bearing posn ) for the connection point in the „Connection point window“ and

Change Part Number – set Part to „2“

Select constants to modify spring stiffness, element bers and eccentric connections

num-Put in the Element number (1102) for the RH Bearing (from CP0 (Node ‘1100’) to the girder ‘part 2’ element node ‘102’)

Select: Conn to “node for part” for node 2

( The end node (node 2) of the spring will then be matically connected to the girder part node 102)

auto-De-select: Conn to “node for part” for node 1 and enter

‘1100’ for the start node number for node 1 Repeat the above procedure for the LH Bearing Element (number 1101)

• Spring between 2 nodes

• Connn pnt CP0 and Part ‘1’– LH window

• Connn pnt CP2 and Part ‘1’– RH window

• Element 1101 De-select “Conn To…for node 1 enter ‘1100’

Trang 10

RM2000/GP2000Multiple Brg Sup defn - twin girders plus twin piers - GP2000

eccen-N.B CP1 is the position of the bearing element 1101

CP2 Is the position of the bearing element 1102

Supposition:

Main Girder Axis and segment, Cross Section for the girder plus the cross section for the piers plus the Segment numbering and assignment and Part numbering and assignment for the main girder axis already made (N.B The Pier cross section must be defined with the intersection of the two main axes (purple lines) in the centre of the section)

Cross-Section

Select the girder cross section

Select the main segment then select Reference Point Group and insert a new one – called “Supports” – for example Choose a ref point icon, select the required intersection point on the girder cross sect, choose “Connection Point” from list and assign a name say “CP1” (define the connnpoints CP1 and CP2 at the centre of each beam soffit)

Select “Segment” and define the segments for all the piers – say Segments 2 & 3 for the twin Piers at “Main Girder” segment 1 segment point 1 and segments 3 & 4 for the twin piers at “Main Girder” segment 1 segment point 6

• N.B The “Main Girder” segment 1 must have been completely defined before the new segments can be properly specified

• Select the ‘Type’ pull-down-menue arrow and choose “Pier”

• Assign the connection point for this segment to the

“Main Girder” segment 1

• Select the ‘Connection Point’ pull-down-menue row and choose “CP2” for seg 3 (“CP1” for seg 2)

Trang 11

ar-RM2000/GP2000Multiple Brg Sup defn - twin girders plus twin piers - GP2000

Define the 1stConnection Point

Segment Points

Assign Pier cross section &

Repeat

Segment nection Segment

Con-Define the 2ndConnection Point

• Choose the segment from the segment list ( segment 2)

• Select the segment icon

• Insert the segments points for the Pier at segment 2 N.B “height 0” is at the top of the pier – the other segment points have negative values – say Pier 1 connection to ground is

at height –10 and top is at height 0 in steps of 5 metres

Select the ‘Edit’ icon and assign the pier cross section to the segment points

Choose ‘Parts’ and then the ‘Edit’ icon Enter the material type, and the start element number and node numbers

Element No Start Node End Node

Check/modify the segment point and part to be connected (Part

1 point 3) Select “Spring between 2 nodes”

The connection to the node at the top of the pier is automatically assigned if the correct segment point is chosen – Part 1 Point 3

in this example (see above)

RH Window – Segment Point 1 Part 2

Check/modify the segment point and part to be connected

• Select the ‘Connection Point’ pull-down-menu arrow and choose “CP2” for segment 3 (“CP1” for segment 2)

• Select the correct part – part 2

Trang 12

RM2000/GP2000Multiple Brg Sup defn - twin girders plus twin piers - GP2000

Select Constants

Number the Element

Spring -0

Constants

Repeat procedure

Number the Element Connection

Select Constants to modify the spring stiffness , element numbers and eccentric connections

Enter the Element number (1113 for the spring from Node

1113 of the Pier (Node 1) to Node 201 on the main girder - (Node ‘2’)

Select ‘Conn to node part’ for Node 1 & for Node 2

Change default spring and support constants if necessary Confirm with OK twice

N.B The default orientation for the spring is: The local direction vertical: Vertical support – Cx=1e8kN/m

X-Close the connection window & select point 1 in the ment list

seg-Choose connection and then choose “Insert” to define the connection for the spring element 1110 (Spring element to ground)

Check/modify the segment point and part to be connected Select ‘Spring –0’ for the ground connection

Select Constants to modify spring stiffness , element bers and eccentric connections

num-Put in the Element number (1110) for the spring connection

to ground for the pier at segment 3

De-select: Conn to “node for part” for node 2 and enter

‘1111’ for the end node number for node 2 Repeat the above procedure for the LH Bearing Element (number 1103) and the ground connection (number1100) on segment 2

• Spring between 2 nodes

• Connn pnt CP1 and Part ‘1’ segment point 1– RH window

Trang 13

RM2000/GP2000 Cross Section with variable depth using GP2000

Cross Section with variable depth using GP2000

HQS (variable) Value = 4,0 m

3,0 m

5,0 m

3,0 m HQS

Segment length 30,0 m 50,0 m 70,0 m

Select the ‘Cross sec’ arrow and the insert bol Accept the default name (cross1)

sym-Define the Cross-Section

Select ‘Variable’ and create with ‘Insert’ a newVariable (HQS) with the Value ’4,0 m’ and Type

Select ‘Formula’ and creat with ‘Insert’ a new

’Table’ (Radio Buttons) with the Type ’Length’and name ’HQS_Tab’

Define a new Table item in the lower Table.Interpolation linear (see userguide), Variable A:Segment length and Variable B: Cross Sectiondepth Do ’Insert after’ until the required func-tion is defined With INFO Button the createfunction can be shown

Select the necessary ‘Segment’

N.B CS had to assign to the segment!

Select ’Variables’ (radio buttons)

Click the ’modify’ function in the lower liste andassign the existing Variabel an Expression (func-tion) for example HQS_Tab(sg) (Attention:from point , to point, step)

N.B (sg) assign the function global and (sl)

assign the function local (see user guide)

Trang 14

RM2000/GP2000 Orthogonal Grillage Definition using GP2000

Orthogonal Grillage Definition using GP2000

Input the axis

Insert a straight line

Select the ‘Segment’ arrow and theinsert symbol Accept the default name

Select the ‘Cross sec’ arrow and theinsert symbol Accept the default name

Insert axis starting point for tal alignment Select Po Accept thedefault values

Horizon-Input the

Cross Section

geometry

Select Vertical Axis icon

Vertical axis starting point

Insert axis starting point for Verticalalignment: Select Po Accept the de-fault values

Select the straight line symbol & Input

140 (metres) and close the axis tion when finished

defini-Cross Section

Parallel struction LineElement(s)

Con-Part(s)

Define the Cross-Section

Define all the construction lines essary for defining the complete crosssection (all the beams)

nec-Define all the elements in the plete cross section (all the beams)

com-Define as many parts as there arebeams in the cross section (3 in thisexample) by clicking on the intersect-ing CL’s over the centre of the beams

to define the reference point

Modify Part(s) Select the element part number in the

cross section to modify – the number will change to the number shown in the ‘Part window’ Modify the element numbers to match the relevant ‘Part number’

Straight Line Select the straight line symbol & input

140 (metres)

Trang 15

RM2000/GP2000 Orthogonal Grillage Definition using GP2000

Con-Click on the intersection point of theCL’s at the bottom of each beam inthe position where the bearings are to

be placed and select Conection Point

Select the ‘Ref point’ arrow at the top

of the screen and the insert symbol Accept the default name

-Assign a name to each different point Name the points ‘Sup1’; ‘Sup2’; & ‘Sup3’

Segment Insert From 0 To 140 Step 4

Select next port

N.B Only the main beams and the bearings

below them have been prepared – the verse beams defining the grillage must beinserted from RM2000 in the normal way –STRUCTURE-ELEMENT

trans-Assign cross sections to all the points

Starting at the top of the list: Assign beam numbers and material numbers

N.B Do not change Alpha 1 to 90 degrees –

the program does this automatically!

Trang 16

RM2000/GP2000 Composite Definition using GP2000

Composite Definition using GP2000

Select re-calculate before exporting

Select RM to export the data toRM2000

Insert a new Cross-Section in theCross-Section list and open it

Input all the construction lines sary for defining the complete crosssection (all the beams)

neces-Define all the elements in the plete cross section (all the beams)

com-Select the element part number in the cross tion for modification – the number will change to the number shown in the ‘Part window’ Element numbers must be the same as their ‘Part numbers’

sec-Select the ‘Parts’ pull-down-menu arrow andinsert 2 additional parts (2+3) The node for thenew part must be selected immediately afterclicking the insert button

Insert segment points e.g from 0 to 140 Step 4

Assign cross sections to all the points Starting at the top of the list: Assign beam element numbers and material numbers to the parts automatically

N.B Elements numbers can be directly defined

by selecting the parts radio button and then the edit icon

Click on Part3 and then COMPOSITE to definethe Composite section: Choose Part 1 and Part 2and confirm with OK

Con-Modify Part(s) Create Parts

PART 1

PART 2

PART 3

Trang 17

RM2000/GP2000 Tendon Definition & Calculation using RM2000

Tendon Definition & Calculation using RM2000

Define the

ten-don profiles &

Assign the tendon(s) to the elements

in the structure (bottom) Assignment

Define the

LSet

Pre/Post tensioningTendons

Insert a new loadset called ing

prestress-Define the tendons to be stressed inthis load set

Tiêu đề	Static and Dynamic Analysis of Spaceframes
Tác giả	Heinz Pircher, Partner
Trường học	tdv ges.m.b.h.
Thể loại	procedure guide
Năm xuất bản	2001
Thành phố	graz

Định dạng
Số trang	34
Dung lượng	526,48 KB