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Palestra 7
Estruturas Tubulares para o Sculo XXI
Palestrante: Prof. Dr. Jeffrey A. Packer
Universidade de Toronto - Canad
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Jeffrey A. PackerBahen-Tanenbaum Professor of Civil EngineeringUniversity of Toronto, Toronto, Canada
TUBULAR STEEL STRUCTURESFOR THE 21st. CENTURY
Construmental 2010
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The 1889 Firth of Forth Bridge, designed with circular hollow sections composed of newly developed rolled flat steel plates, riveted together at site. The technique evolved from building ships and steam engines.
Origins in the 19th Century: Firth of Forth Bridge, Scotland
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The Bullwinkle Offshore Platform is the worlds highest steel jacket structure at a total height of 492 m. Located in the Gulf of Mexico, south west of New Orleans, USA.
The 20th Century Experience of Offshore Structures
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Offshore Structures developed Complex Joint Technology
Giant, complex welded connections with multiple multi-planar braces at a node
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The synergy between Architectural, Structural and Industrial Design
A pavilion in Seville, Spain, that integrates architectural, structural and industrial design and even approaches sculpture
The Synergy of Tubular Structures
Kansai Airport, Osaka, Japan, by Renzo Piano, displaying curved triangular space trusses
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The Leaning Arch bridge concept by Calatrava, in Bilbao, Spain (and many other places)
Iconic Pedestrian Bridges
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Humber River Tied Arch Bridge, Toronto, Canada
Other Arch Pedestrian Bridges
Tied Arch Bridge in St. Jan, The Netherlands
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Conventional Pedestrian Bridges
The ubiquitous Pony Truss or U-Frame or
Through Truss Bridge
Traditional Covered Warren Truss
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Viaduc de lArc TGV Bridge, Provence, France
Railway Bridges
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Stadium Australia, Sydney, for the 2000 Summer Olympic Games
Sports Stadia
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Structures for the 2004 Summer Olympic Games, Athens, Greece
Sports Stadia
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Main stadium for the 2008 Summer Olympic Games, Beijing, China
Sports Stadia
The Birds Nest, by Swiss architects Herzog and de Meuron: saddle-shaped in 3D and elliptical in plan, 333 metres long, with 42 000 tonnes of structural steel.
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Main stadium for the 2010 FIFA World Cup, South Africa
Sports Stadia
Soccer City, Johannesburg, by architects Boogertman Urban Edge & Partners in association with HOK Sport. Consulting Engineers Schlaich Bergermann und Partner. A 90 000-seat stadium, utilizing 7 500 tonnes of structural steel, in a calabash African pot design.
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Exhibition Hall in Leipzig, Germany, by Gerkan and Marg; the largest glass envelope in Europe.
The glazing is supported directly from the main steelwork, and the glass is on the inside of the steelwork.
Exhibition Halls and Pavilions
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Rock and Roll Hall of Fame, Cleveland, USA.
Directly-welded 3D tube arrangements offer modern, clean lines and resist multi-directional loads.
Exhibition Halls and Pavilions
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Federation Square, Melbourne, Australia
Exhibition Halls and Pavilions
A Dramatic jumble of exposed rectangular hollow sections, behind glass.
Free-form architecture in 3D is now a reality, particularly with tubes.
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Opryland Hotel, Nashville, Tennessee, USA
Glazed Pavilions
Butterfly House, Brisbane, Australia
Bright,White,
Circular
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The 1st generation British Airways London Eye, or Millenium Wheel, UK
Tourist Attractions
The 2nd generation Singapore Flyer
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Roller Coasters and other Amusement Rides
Amusement Rides
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Automated Storage and Retrieval System for Pallets, Toronto, Canada.
Goods are stored directly on the main structural framing.
Rack Structures
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Vierendeel Frameworks
Scotiabank, Toronto, Canada
An absence of truss diagonals creates an open appearance and a point of architectural interest
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Sculptural Applications
Honda Exhibit, Festival of Speed 2005,Goodwood, Sussex, UK
Architect: Gerry JudahEngineer: NRM Bobrowski
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Sculptural Applications
Honda Central Exhibit of 6 F1 Cars, Festival of Speed 2005, Goodwood, UKCurved tube supports 6 x 55m long tubular swinging arms, acting as a mobileArchitect: Gerry Judah Engineer: NRM Bobrowski
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Sculptural Applications
Wall of Nations, 2004 Summer Olympic Games, Athens, Greece, using square hollow sections
Note to engineers:
Many tubular members are oversized or ornamental, so design welds for the appropriate loads
avoid over-welding
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TGV Station,
Aix-en-Provence, France
Cast Steel Nodes in Tubular Structures
An excellent way to transition between two different structural materials
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Cast Steel Nodes in Tubular Structures
Stuttgart Airport, Germany (1991)
Tree-like construction
University of Guelph, Ontario, Canada (2006)
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Cast Steel Nodes in Tubular Structures
Conceptual Design (e.g. in Solidworks)
Finite ElementStress Analysis and
optimization
Casting simulation:Filling and solidification
Manufacturing
Fabrication andsite erection
www.castconnex.com
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Humboldthafen Railway Bridge, Berlin, Germany (2000)
Cast Steel Nodes in Tubular Structures
Ripshorst pedestrian bridge, Oberhausen, Germany (1997)
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Exposed tubing in Hotel Atrium (left) and Convention Centre (right), Toronto, Canada
Tube Profiling versus Using Connection Plates
Easy to perform nowadays, and elegant Low aesthetic appeal
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Tube Flattening and Slotted Tube Connections
Triangular Trusses for Long Spans S.A. Brewery, Port Elizabeth, South Africa
Note the flattened ends of the circular branches very popular pre 2000
Slotting of the tube ends to avoid profiling and to avoid complex
intersections
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Profiling Equipment Aids Direct Joining of TubesFree-form architecture with hollow sections has now been liberated by the
availability of profiling and cutting machinery
CNC tube-and-pipe-profiling machines can produce clean, accurate cuts with correct bevels on the edges, which makes fabrication easy, efficient and accurate
Cutting by laser or plasma torch
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Contemporary Design Guides Are Based On Extensive International Research
University of Toronto, Canada
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An undergraduate Steel Design Project, University of Toronto
So many possibilities
Anyone can make beautiful designs with steel hollow sections
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DESIGN OF COLUMNSand
CONCRETE-FILLED COLUMNSand
FIRE RESISTANCE
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Big Box Store Construction in North America
Square RHS are the typical choice for columns the economical choice + easy to attach to
Roof is usually supported by I-shape beam in one direction & OWSJ in the orthogonal direction
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Simple Low-Rise Construction is cheaper with hollow sections
Hollow Sections are thus the OPTIMUM Columns
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50% of Truss Members are Compression Members too
Compression member effective lengths < 1,0 are permitted, making hollow section compression members extremelyefficient and cost-effective
Hollow sections are lighter easy to transport, easy to erect
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Reminder The main virtues of hollow sections
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Concrete-Filling of Hollow Sections
Suitable for small columns which must be vibrated.
Filling hollow section columns on site from a hopper.
Preparing hollow section columns for concrete-filling from above.
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Concrete-Filled Hollow Section Columns
Toronto Airport, Canada
Concrete-FillingIncreases column capacityIncreases fire resistanceMay increase connection strengthIncreases stiffness
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The Dsseldorf Stadttor, GermanyTwin 19-storey office towers with exposed, tubular (914 mm or 36 diam.) trussed columnsColumns filled with high-grade concrete, for both composite strength and fire protection
Concrete-Filled Hollow Section Columns
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Confinement Effect for CHS Concrete-Filled Columns
For non-slender columns there is a significant increase in the concrete strength due to 3-dimensional confinement
Confinement effect / may only be utilized for CHS columns with L/d 25and eccentricity of axial force d/10.
t0
d0
sconcrete
sconcrete ssteel
ssteel
sradial
shoopsradial
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Relative Advantage of Concrete-Filling Hollow Section Columns
0
2000
4000
6000
8000
10000
12000
14000
0 2 4 6 8 10 12 14Effective Length KL (m)
Col
umn
Res
ista
nce
(kN
)
Circular 508 x 16, (C) or (H), + Concrete-filled
Circular 508 x 16, Cold-Formed (C)
Square 406 x 406 x 16, Cold-Formed (C)
Square 406 x 406 x 16, (C) or (H), + Concrete-filled
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Axial LoadMoment Interaction for BeamColumns
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Load Transfer by Shear Connectors for Very Large CHS
Millennium Tower, Vienna, Austria
Shear connectors in composite tubular columns
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Simple (Shear) Connections to Hollow Section Columns
Recommended Method for introducing Beam ShearReactions to Concrete-Filled Hollow Section Columns:
At the Roof
At Intermediate Floor Levels
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Concrete-Filled Hollow Section Connections
K-connection test University of Toronto Some failure modes are eliminated
Concrete-filled
Unfilled
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Composite Column Design for Seismic Conditions
In Europe, requirements are given by Eurocode No. 8"Structures in Seismic Regions, Design - Part 1.1: General and Building", 1988.
Cyclic Moment-Rotation Relationship for a Concrete-Filled 200 x 200 x 6,3 Square Hollow
Section
The "Strong Column Weak Beam" design concept is well-established. However, plastic hinges can occur in the columns at the top floor of multi-storey buildings or for one-storey buildings. Excellent ductility and extremely good energy dissipation are displayed under inelastic cyclic loading by concrete-filled hollow section columns.
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CIDECT Design Guide
Concrete-Filled Columns: 1995www.cidect.com
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Effect of Concrete-Filling on the Load Capacity and Fire Life
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Steam Vent Holes in Concrete-Filled Hollow Sections
Furnace Testing of a Hollow Section Column
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Guidance for Fire Protection of Hollow Sections
Canadian Steel Construction Council Bulletins:www.cisc-icca.ca
Plain #21Bar-reinforced #25Steel-fibre #26
CIDECT Design Guide No.4 1995/1996 + Software (Potfire)
www.cidect.com
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Intumescent Paints for Fire Protection of Hollow Sections
The inclined supporting columns were coated with an intumescent paint suitable for outdoors, then painted afterwards on site
Ontario College of Art and Design extension, Toronto, Canada, by architect Will Alsop
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Water Filling for Fire Protection of Hollow Sections
Water-filled roof trusses, at Hong Kong Chek Lap Kok Airport
Building in Germany where the external columns act like pipes and heat is transported away from the fire by convection. Requires a water reservoir.
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DESIGN OF TRUSSES
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Planar Trusses
Compression member effective lengths < 1,0
Hollow sections are lighter in weight easier to transport, less crane capacity to erect, torsionally stiff
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Planar Trusses
Warren Trusses are a popular way to minimize the number of members and connections
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Design Procedure for Planar Triangulated Trusses
Determine truss layout, span, depth, panel lengths, truss spacing by usual methods. Span-to-depth ratio generally ~ 10 to 15, to avoid excessive deflections.
Keep connections to a minimum.
Determine loads at connections and on members.(Simplify these initially to equivalent loads at panel points if analysis is done manually).
Determine axial forces in all members by assuming that joints are pinned (if done manually), or pin-ended webs + continuous chords if done by a frame analysis program
2.
3.
1.
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Truss Design Procedure
Axial loadCorrosion protection (surface area)Tube wall slendernessK = 0,9 for compression chord
Determine chord member sizes considering:4.
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Truss Design Procedure
5. Determine web member sizes considering:Axial loadtweb < tchordK = 0,75 for compression webs
6. Standardize the web member sizes:To 2?Same width, different thickness? Inspection problemCheck availability!
7. Layout the connections:Try gap connections firstCheck connection geometry is within validity rangeCheck member sizes are within validity rangePay attention to eccentricity limitsConsider fabrication procedure
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Truss Design Procedure
8. Check connection efficiencies(with charts) or resistances (with formulae or tables) Usually only a few connections need to be checked.
If efficiencies or resistances are not adequate, modify the connection layout (e.g. overlap instead of gap), or
Modify the members;Recheck connections.
9.
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Truss Design Procedure
Check effect of primary moments on chord design.Use proper load positions on membersDetermine member bending moments assuming:
Pinned joints everywhere or Continuous chords with pin-ended webs
Design welded joints. Fillet welding cheapest
(Note: Weld Design can be left to the fabricator but not connection verification)
10.
Check truss deflections under specified loads.11.
12.
For compression chord, also consider noding eccentricity moment.Check member (axial and bending) interactions.
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Truss Design Procedure
The continuous chord + pin-connected web (branch) members plane frame model, for computer analysis, gives realistic axial forces and bending moments:
(Note: Make small links at least 10x stiffness of connected members)
For mostoverlap joints Extremely stiff
members Pin
Extremely stiffmembers
For most gapjoints
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Deflections of Trusses
By Virtual Work
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Deflections of Trusses
due to membersVirtual Forces in Members
Real Extensions or Contractions of Members
= x
due to connectionsVirtual Forces in Members
Connection Deformation associated with any web member, due to real loads, at both ends of member
= x
Total = +due to members due to connections
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Deflections of Trusses
OVERLAP CONNECTIONS
GAP CONNECTIONS
Check Deflections Under Specified Loads
or
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Double Chord Trusses
(For heavily-loaded or long-span trusses) Hamilton, Canada
Model as pin-jointed with same K factors for member design as single-chord trusses. All web (branch) members must have the same width.
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Multiplanar (or 3D) Welded Delta Trusses
Model as for planar trusses.
Check 3D connections as planar connections, but apply a multiplanar correction factor
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Multiplanar (or 3D) Bolted Delta Trusses
Model as for planar trusses:
Pin-jointed analysis would be appropriate
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Vierendeel Trusses/Frames
Toronto, Canada
Vierendeels (no diagonals) must be modelled as moment-resisting frames, hence using rigid joint analysis.
All members must have equal width + stocky chords (b0/t0 16) for fully rigid.
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DESIGN OF WELDED TRUSS-TYPE CONNECTIONS
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Basic Types of Connections
Connection type is not just dictated by appearance
Definition of eccentricity
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Classification into K-, Y- and X-connections
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Classification into K-, Y- and X-connections
0.5N sinq
0.5N sinq
q
N
N cosq=
0.5N sinq
q
0.5N
0.5N cosq0.5N sinq
q+
0.5N
0.5N cosq
Example of an imbalanced K-connection
0.5 N 0.5 N 1.0K-conn. resistance X-conn. resistance
+
For the tension diagonal:
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Notation used for CHS and RHS Connections
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Potential Failure Modes for Welded Hollow Section Connections
Mode A: Plastic failure of the chord face
Mode B: Punching shear failure of the chord face
Mode C: Tension failure of the web member
Mode D: Local buckling of the web member
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Potential Failure Modes for Welded Hollow Section Connections
Mode E: Overall shear failure of the chord
Mode F: Local buckling of the chord walls
Mode G: Local buckling of the chord face
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Tabular Appearance of Connection Design Rules
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ExamplePlate-to-RHS chord connection some chord failure
modes
chord punching shear
side wall yielding
chord face plastification
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Department of Civil Engineering, University of Toronto
Department of Civil Engineering, University of Toronto
Failure Modes for Welded Hollow Section Connections
Limit State: Column or Chord Wall Plastification
Prevalent in connections due to the flexible nature of the connecting hollow section face
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Department of Civil Engineering, University of Toronto
Department of Civil Engineering, University of Toronto
Failure Modes for Welded Hollow Section Connections
Limit State: Chord Shear Yielding (Punching Shear)
May govern for connections with medium to high branch-to-chord width ratios
Failure can occur under a tension or compression branch provided it is physically capable of shearing through the chord wall
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Department of Civil Engineering, University of Toronto
Department of Civil Engineering, University of Toronto
Failure Modes for Welded Hollow Section Connections
Limit State: Local Yielding (due to uneven load distribution)
Applies to transverse plates or transverse walls of a RHS, under both tension and compression loading
Common failure mode for overlapped K-connections
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Department of Civil Engineering, University of Toronto
Department of Civil Engineering, University of Toronto
Failure Modes for Welded Hollow Section Connections
Limit State: Chord Sidewall Failure (Yielding or Buckling)
Failure of the chord member side wall
May occur in RHS matched box connections
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Department of Civil Engineering, University of Toronto
Department of Civil Engineering, University of Toronto
Gapped versus Overlapped Truss Connections
Design tips to optimize welded hollow section connection design Select relatively stocky chord Select relatively thin branch Consider virtues of gapped K-connections
Easier and cheaper to fabricate
Gapped Overlapped
Higher static and fatigue strength, generally
Produces stiffer truss (reduces truss deflections)
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Some Golden Rules to Avoid Connection Problems
General Tips for Designers
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Some Golden Rules to Avoid Connection Problems
Wall Slenderness Web or Branch Angles
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International Design Guides for Practicing Engineers
1st. Edition: 19912nd. Edition: 2008 1st. Edition: 1992
2nd. Edition: 2009 19951998 2000
2004
Guides by CIDECT
1st. Edition: 19922nd. Edition: 1997
1997 1999 2010
www.cidect.com
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CIDECT Illustrated Books Second Editions of both in 2010
Tube Architecture Tube Designwww.cidect.com
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HSS_connex
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Hollow section connection design is performed to internationally- accepted design procedures
Scope: covers welded and bolted, planar and multiplanar truss-type connections
Does Limit States Design (LSD) checks. The user inputs the forces acting on a Free Body Diagram, plus the connection geometry
Contains full Canadian and US (ASTM A500) section databases, but any connection geometry and steel grade can be input manually by the user the program calculates the section properties
Connection Design Software Available
HSS_connex v1.04
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Connection Design Software Available
Operates in SI (metric) and U.S. Customary (imperial) units.
Gives graphical confirmation of connections
Operates under Windows 2000, XP, Vista and 7
Has familiar Microsoft features
Not only does complex calculations for connection resistance, but also checks geometric parameters against an extensive set of limits of validity.
HSS_connex
Available from University of Toronto Tube Group
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Department of Civil Engineering, University of Toronto
Department of Civil Engineering, University of Toronto
Obrigado
Nmero do slide 1Nmero do slide 2Nmero do slide 3Nmero do slide 4Nmero do slide 5Nmero do slide 6Nmero do slide 7Nmero do slide 8Nmero do slide 9Nmero do slide 10Nmero do slide 11Nmero do slide 12Nmero do slide 13Nmero do slide 14Nmero do slide 15Nmero do slide 16Nmero do slide 17Nmero do slide 18Nmero do slide 19Nmero do slide 20Nmero do slide 21Nmero do slide 22Nmero do slide 23Nmero do slide 24Nmero do slide 25Nmero do slide 26Nmero do slide 27Nmero do slide 28Nmero do slide 29Nmero do slide 30Nmero do slide 31Nmero do slide 32Nmero do slide 33Nmero do slide 34Nmero do slide 35Nmero do slide 36Nmero do slide 37Nmero do slide 38Nmero do slide 39Nmero do slide 40Nmero do slide 41Nmero do slide 42Nmero do slide 43Nmero do slide 44Nmero do slide 45Nmero do slide 46Nmero do slide 47Nmero do slide 48Nmero do slide 49Nmero do slide 50Nmero do slide 51Nmero do slide 52Nmero do slide 53Nmero do slide 54Nmero do slide 55Nmero do slide 56Nmero do slide 57Nmero do slide 58Nmero do slide 59Nmero do slide 60Nmero do slide 61Nmero do slide 62Nmero do slide 63Nmero do slide 64Nmero do slide 65Nmero do slide 66Nmero do slide 67Nmero do slide 68Nmero do slide 69Nmero do slide 70Nmero do slide 71Nmero do slide 72Nmero do slide 73Nmero do slide 74Nmero do slide 75Nmero do slide 76Nmero do slide 77Nmero do slide 78Nmero do slide 79Nmero do slide 80Nmero do slide 81Nmero do slide 82Failure Modes for Welded Hollow Section ConnectionsFailure Modes for Welded Hollow Section ConnectionsFailure Modes for Welded Hollow Section ConnectionsFailure Modes for Welded Hollow Section ConnectionsGapped versus Overlapped Truss ConnectionsNmero do slide 88Nmero do slide 89Nmero do slide 90Nmero do slide 91Nmero do slide 92Nmero do slide 93Nmero do slide 94Obrigado