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  • Palestra 7

    Estruturas Tubulares para o Sculo XXI

    Palestrante: Prof. Dr. Jeffrey A. Packer

    Universidade de Toronto - Canad

  • Jeffrey A. PackerBahen-Tanenbaum Professor of Civil EngineeringUniversity of Toronto, Toronto, Canada

    TUBULAR STEEL STRUCTURESFOR THE 21st. CENTURY

    Construmental 2010

  • 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

  • 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

  • Offshore Structures developed Complex Joint Technology

    Giant, complex welded connections with multiple multi-planar braces at a node

  • 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

  • The Leaning Arch bridge concept by Calatrava, in Bilbao, Spain (and many other places)

    Iconic Pedestrian Bridges

  • Humber River Tied Arch Bridge, Toronto, Canada

    Other Arch Pedestrian Bridges

    Tied Arch Bridge in St. Jan, The Netherlands

  • Conventional Pedestrian Bridges

    The ubiquitous Pony Truss or U-Frame or

    Through Truss Bridge

    Traditional Covered Warren Truss

  • Viaduc de lArc TGV Bridge, Provence, France

    Railway Bridges

  • Stadium Australia, Sydney, for the 2000 Summer Olympic Games

    Sports Stadia

  • Structures for the 2004 Summer Olympic Games, Athens, Greece

    Sports Stadia

  • 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.

  • 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.

  • 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

  • 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

  • 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.

  • Opryland Hotel, Nashville, Tennessee, USA

    Glazed Pavilions

    Butterfly House, Brisbane, Australia

    Bright,White,

    Circular

  • The 1st generation British Airways London Eye, or Millenium Wheel, UK

    Tourist Attractions

    The 2nd generation Singapore Flyer

  • Roller Coasters and other Amusement Rides

    Amusement Rides

  • Automated Storage and Retrieval System for Pallets, Toronto, Canada.

    Goods are stored directly on the main structural framing.

    Rack Structures

  • Vierendeel Frameworks

    Scotiabank, Toronto, Canada

    An absence of truss diagonals creates an open appearance and a point of architectural interest

  • Sculptural Applications

    Honda Exhibit, Festival of Speed 2005,Goodwood, Sussex, UK

    Architect: Gerry JudahEngineer: NRM Bobrowski

  • 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

  • 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

  • TGV Station,

    Aix-en-Provence, France

    Cast Steel Nodes in Tubular Structures

    An excellent way to transition between two different structural materials

  • Cast Steel Nodes in Tubular Structures

    Stuttgart Airport, Germany (1991)

    Tree-like construction

    University of Guelph, Ontario, Canada (2006)

  • 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

  • Humboldthafen Railway Bridge, Berlin, Germany (2000)

    Cast Steel Nodes in Tubular Structures

    Ripshorst pedestrian bridge, Oberhausen, Germany (1997)

  • 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

  • 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

  • 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

  • Contemporary Design Guides Are Based On Extensive International Research

    University of Toronto, Canada

  • An undergraduate Steel Design Project, University of Toronto

    So many possibilities

    Anyone can make beautiful designs with steel hollow sections

  • DESIGN OF COLUMNSand

    CONCRETE-FILLED COLUMNSand

    FIRE RESISTANCE

  • 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

  • Simple Low-Rise Construction is cheaper with hollow sections

    Hollow Sections are thus the OPTIMUM Columns

  • 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

  • Reminder The main virtues of hollow sections

  • 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.

  • Concrete-Filled Hollow Section Columns

    Toronto Airport, Canada

    Concrete-FillingIncreases column capacityIncreases fire resistanceMay increase connection strengthIncreases stiffness

  • 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

  • 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

  • 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

  • Axial LoadMoment Interaction for BeamColumns

  • Load Transfer by Shear Connectors for Very Large CHS

    Millennium Tower, Vienna, Austria

    Shear connectors in composite tubular columns

  • 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

  • Concrete-Filled Hollow Section Connections

    K-connection test University of Toronto Some failure modes are eliminated

    Concrete-filled

    Unfilled

  • 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.

  • CIDECT Design Guide

    Concrete-Filled Columns: 1995www.cidect.com

  • Effect of Concrete-Filling on the Load Capacity and Fire Life

  • Steam Vent Holes in Concrete-Filled Hollow Sections

    Furnace Testing of a Hollow Section Column

  • 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

  • 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

  • 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.

  • DESIGN OF TRUSSES

  • Planar Trusses

    Compression member effective lengths < 1,0

    Hollow sections are lighter in weight easier to transport, less crane capacity to erect, torsionally stiff

  • Planar Trusses

    Warren Trusses are a popular way to minimize the number of members and connections

  • 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.

  • Truss Design Procedure

    Axial loadCorrosion protection (surface area)Tube wall slendernessK = 0,9 for compression chord

    Determine chord member sizes considering:4.

  • 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

  • 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.

  • 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.

  • 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

  • Deflections of Trusses

    By Virtual Work

  • 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

  • Deflections of Trusses

    OVERLAP CONNECTIONS

    GAP CONNECTIONS

    Check Deflections Under Specified Loads

    or

  • 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.

  • Multiplanar (or 3D) Welded Delta Trusses

    Model as for planar trusses.

    Check 3D connections as planar connections, but apply a multiplanar correction factor

  • Multiplanar (or 3D) Bolted Delta Trusses

    Model as for planar trusses:

    Pin-jointed analysis would be appropriate

  • 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.

  • DESIGN OF WELDED TRUSS-TYPE CONNECTIONS

  • Basic Types of Connections

    Connection type is not just dictated by appearance

    Definition of eccentricity

  • Classification into K-, Y- and X-connections

  • 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:

  • Notation used for CHS and RHS Connections

  • 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

  • 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

  • Tabular Appearance of Connection Design Rules

  • ExamplePlate-to-RHS chord connection some chord failure

    modes

    chord punching shear

    side wall yielding

    chord face plastification

  • 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

  • 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

  • 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

  • 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

  • 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)

  • Some Golden Rules to Avoid Connection Problems

    General Tips for Designers

  • Some Golden Rules to Avoid Connection Problems

    Wall Slenderness Web or Branch Angles

  • 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

  • CIDECT Illustrated Books Second Editions of both in 2010

    Tube Architecture Tube Designwww.cidect.com

  • HSS_connex

  • 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

  • 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

  • Department of Civil Engineering, University of Toronto

    Department of Civil Engineering, University of Toronto

    Obrigado

    [email protected]

    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