Design of Concrete Filled Steel Tubes and Application Prof. Mahendrakumar Madhavan Ph.D., P.E., F.SEI Department of Civil Engineering IIT Hyderabad Guangzhou Tower CFST Structure Design of Concrete filled steel tubes 1 Introduction 2 5 6 Materials and Component Behavior 3 Application and Design Procedure for CFST 4 Connections Economical Benefit of CFST structure Fire Performance and Limitation Design of Concrete filled steel tubes 1 Introduction 2 5 6 Materials and Component Behavior 3 Application and Design Procedure for CFST 4 Connections Economical Benefit of CFST structure Fire Performance and Limitation Introduction Composite Construction Composite Member refers to two load carrying structural member that are integrally connected and deflect as a single unit. Concrete Concrete beam II beam Slip Composite beam Composite beam Concrete encasement restrain steel against buckling. Steel brings ductility into the structure. Concrete provides protection against corrosion and fire. = Non Composite beam Non Composite beam Concrete Concrete I beam Introduction Concrete Filled Steel Tubes (CFST) • Concrete filled steel tubular section comprising a hollow steel tube infilled with concrete with or without additional reinforcement or steel section. Reducing labor and material cost Conventional RCC member Composite member Increasing the efficiency of construction Outer tube as form work Composite member can be adapted to replace RC member so that structure can benefit over Composite member. Introduction Concrete Filled Steel Tubes (CFST) • The concrete produces stronger compressive strength and deformation ability. • Due to the restrictive function of the steel tube, the concrete is capable of bearing the stress from three directions. a • The local deformation of the steel tube can be prevented due to the presence of concrete in the tube. c b The combination of both materials can help conquer their respective weakness and bring their strong points into full play. A composite structure system has a bright future largely depending on the economic benefit of the system. Concrete in a steel tube bearing the stress from three directions Reduces site works, reduces material waste and improves quality Buildability Why CFST ? Great Bearing capacity 70% greater bearing capacity than that of the sum of individual steel tube and concrete safety Quality and Easy to construction Great Economic benefit Structures can be designed to meet the highest seismic and wind load specifications in any part of the country Steel tube is factory made and Rebar construction activity can be left out. CFST can save concrete by 70% and steel by 50% therefore construction cost can be reduced by 40%. 7 Types and Cross Section of CFST Typical cross section of CFST CFST with additional reinforcement Concrete encased CFST Concrete filled double skin tubes CFDST Design of Concrete filled steel tubes 1 Introduction 2 5 6 Materials and Component Behavior 3 Application and Design Procedure for CFST 4 Connections Economical Benefit of CFST structure Fire Performance and Limitation Materials for concrete-filled steel tubes Steel • Various kinds of steel can be used in concrete filled steel tubular members, such as normal carbon (mild) steel, high strength steel, high-performance fire-resistant steel, weathering steel, etc. Hot rolled steel structural members and members built up of plates. Two main families of construction in steel structures Cold formed steel structural members. Materials for concrete-filled steel tubes Concrete Compressive strength 20 to 40 MPa Workability More workability Load bearing Comparatively less Compressive strength Above 40 MPa Workability Less workability Load bearing Higher load carrying capacity Schematic view of concrete placement Pump filling Gravity filling • Pumping concrete from the bottom of the column. • Placing concrete from the top of the column. • The self-consolidating concrete (SCC) and the thoroughly mixed concrete are favored • The depth of the fresh concrete is usually made in steps of 300 mm to 500 mm, and should be vibrated after being placed. • The end of the pipe is recommended to be placed below the concrete surface to ensure the compactness of concrete. Component Behaviour • The circular cross section provides the strongest confinement to the core concrete, and the local buckling is more likely to occur in square or rectangular cross-sections. • The CFST with square hollow section (SHS) and rectangular hollow section (RHS) are used in construction, for the reasons of being easier in beam-to-column connection design, high cross-sectional bending stiffness and for aesthetic reasons Circular and Square Hollow Section • In CFST members, the confinement of concrete is provided by the steel tube, and the local buckling of the steel tube is improved due to the support of the concrete core. Schematic failure modes of hollow steel tube, concrete and CFST stub columns • The both inward and outward buckling is found in the steel tube, and shear failure is exhibited for the plain concrete stub column. • For the concrete-filled steel tube, only outward buckling is found in the tube, and the inner concrete fails in a more ductile fashion. Axial Compressive behaviour of CFST stub Column The ductility of the concrete-filled steel tube is significantly enhanced, when compared to those of the steel tube and the concrete alone. Ref : L.-H. Han et al Schematic failure modes of steel tube, concrete and CFST under tension • The CFST member in tension behaved in a ductile manner. • Cracks of the inner concrete are evenly distributed along the member. Schematic failure modes of steel tube, concrete and CFST under bending • The inner concrete can change the failure modes of the outer tubes under bending, with the wave like buckling exhibited in the compressive area of the member. Schematic failure modes of steel tube, concrete and CFST under torsion • The hollow steel tube exhibit torsional buckling when the torsion is applied. • CFST in torsion, the compressive force is developed in the inner concrete while the tensile force in the diagonal direction is developed in the steel tube. Earthquake Resistant Behavior of CFST Column • Under the action of the earthquake, the building with a concrete-filled steel structure will not result in brittle failure or collapse. • It can meet the earthquake resistance demand of “being interstitial but collapse”. Improved deformation capacity Seismic force Q Under the action of a moving load or earthquake, the concrete-filled steel tube structure possesses good CFST RC ductility and energy absorbing power, which is much stronger than that of the reinforced concrete structure. Deformation Design of Concrete filled steel tubes 1 Introduction 2 5 6 Materials and Component Behavior 3 Application and Design Procedure for CFST 4 Connections Economical Benefit of CFST structure Fire Performance and Limitation Application of CFST Main columns in subway stations. Workshops and power plant buildings. In high-rise and multistorey buildings as columns and beam-columns, and as beams in low-rise industrial buildings. CFT members can serve as piers, bridge towers, arches and they can also used in the bridge deck system. Applications Electrical Transmission Line in Zhoushan China CST Column Height – 262 m Diameter of tube – 2300 mm Wall Thickness – 28 mm Compressive Strength of Concrete -50Mpa Applications Fleet Place house London, UK (2000) 8 Storey high concrete filled external CHS columns office block building. External diameter of CHS vary from 323.9 x 30mm to 323.9 x 16mm China Zun (2011 – 2018) Height – 528m with 108 floor 8 concrete filled tube mega columns are located at the corners Applications Montevetro Apartment Block, London Peckham Library, London Queensberry House, London Applications Wushan Yangtze River Bridge, Chongqing, China (2001 – 2005 ) Ganhaizi Bridge, Yaan, Sichuan Province, China CFST The world's longest concrete filled steel tubular truss bridge. The world's highest bridge piers of concrete filled steel tubular lattice. Height – 103m Arc Span – 460 m Length –1811m Height of Lattice piers – 107 m Development of Codal Provision The first edition of the standard for composite concrete and circular steel tubular structures was published by AIJ (Architectural Institute of Japan) in 1967, based on the research conducted in the early 1960 . Structural Stability Research Council proposed a specification for the design of steel-concrete composite columns in 1979, which was subsequently adopted in the 1986 AISC-LRFD Code. Available national codes for CFST AISC 2010 British bridge code BS5400 Australian bridge design standard AS5100 Japanese code AIJ 2001 IS 11384 -1985 Chinese code DBJ/T13-51 Eurocode 4 (2004) Design equations from codes for compressive load carrying capacity of CFST columns As per AISC 360 -16 Start Circular Section Circular cross section provides the strongest confinement to the core concrete than rectangular section Rectangular Load carrying capacity Load Carrying Capacity Compact Section Pp = N u= As fy+ 0.9 Ac fc Load carrying capacity Load Carrying Capacity Slender Section N u= As fcr+ 0.7 Ac fc Elastic critical load buckling Stress − . 01 λ 𝑟= 2.26 2 𝑓𝑐𝑟 = 0.72 𝑓𝑦 𝑡 𝑑 𝑓𝑦 𝑓𝑐𝑘 𝑁 𝑢 = 𝑃𝑝 – 𝐸 0.5 𝑓𝑦 λ 𝑟= Load Carrying Capacity (𝑃𝑝−𝑃𝑦) (𝜆𝑟 −𝜆𝑦 )^2 λ𝑟 − λ𝑦 and λ 𝑦 = 3 0.15 𝐸𝑠 𝑓𝑦 and λ 𝑦= N u= As fy+ 0.7 Ac fc 𝐸 0.5 𝑓𝑦 t = Thickness of steel tube d = Outer diameter of the circular cross section B = Breadth of the cross section Pp = Plastic strength Py = Yield strength Elastic critical load buckling Stress 𝐵 fcr = 0.9 Es ( )-2 𝑡 0.19 𝐸𝑠 𝑓𝑦 Semi Compact 2 Pp = N u= As fy+ 0.85 Ac fc Summation of Load carrying Capacity of concrete and steel Py = As fy+ 0.7 Ac fc As = Area of Steel fy = Design yield strength of steel Ac = Area of in-filled concrete fc = Design compressive strength of concrete Load Carrying Capacity N u= Pp – (𝑃𝑝−𝑃𝑦 ) (𝜆𝑟 −𝜆𝑦 )^2 λ𝑟 − λ𝑦 2 Es = Modulus of elasticity of steel Is and Ia = Moments of inertia of the steel and the concrete λ 𝑟 = Slenderness ratio of compact / semi compact λ 𝑦 = Slenderness ratio of Semi compact / Slender Design equations from codes for compressive load carrying capacity of CFST columns As per BS EN 1994-1-1 Start Circular Section Other than Circular Section No Yes Plastic resistance to compression e = 0 N pl,Rd = Aa fyd+ 0.85 Ac fcd + As fsd η𝑎 = η𝑎o = 0.25 (3 + 2 𝜆 ) η𝑐 = η𝑐o = 4.9 – 18.5 𝜆 + 17 𝜆 2 Yes No e > 0.1d or 𝜆 > 0.5 𝜆= η𝑎 = 1 ; η𝑐 = 0 η𝑎 = η𝑎o + (1- η𝑎o ) Plastic resistance to compression N pl,Rd = η𝑎 Aa fyd+ [ 1 + η𝑐 𝑡 𝑓𝑦 𝑑 𝑓𝑐𝑘 ] Ac fcd + As fsd e = Eccentricity of loading d = Outer diameter of the circular cross section As = Area of reinforcement bar fsd = Design yield strength of reinforcement Aa = fyd = Ac = fcd = Relative Slenderness 10 𝑒 𝑑 Summation of Load carrying Capacity of steel tube, concrete and reinforcement Npl, 𝑅𝑘 Ncr η𝑐 = ηco + (1- 10 𝑒 𝑑 ) η𝑎 and η𝑐 are the factors to increase the compressive strength of the concrete due to the confinement provided by the hollow circular section (only significant in stocky column) Npl,Rk = Plastic resistance of the compression Area of tubular section Design yield strength of steel (EI)eff = Effective flexural stiffness Area of in-filled concrete Design compressive strength of concrete Is and Ia = Moments of inertia of the steel and the concrete, Flow chart for design of compressive resistance of the column by using simplified method Doubly -symmetrical and uniform cross-sections over the column length As per BS EN 1994-1-1 Start Compressive strength Checks for applicability 2 0.2 ≤ δ (steel contribution ratio) ≤ 0.9. 𝜙 = 0.5 1 + 𝛼 𝜆 − 0.2 + 𝜆 𝜆= Npl, 𝑅𝑘 Ncr Slenderness ratio 𝜆 ≤ 2.0. Aspect ratio, 0.2 ≤ Design Compressive Resistance 𝑁𝑏, 𝑅𝑑 = 𝜒 × N pl,Rd Ncr = N Ed <1 𝜒 N pl,Rd Ley = ky L Aa = fyd = Ac = fcd = Aa fyd N pl,Rd N pl,Rd = Aa fyd+ 0.85 Ac fcd + As fsd 𝑆𝑡𝑟𝑒𝑠𝑠 𝑅𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛 𝐹𝑎𝑐𝑡𝑜𝑟 1 𝜒= [𝜙 + 𝜙 2 − λ2 0.5 ] Check: δ= Area of tubular section Design yield strength of steel Area of in-filled concrete Design compressive strength of concrete 𝜋 2 𝐸𝐼 𝑒𝑓𝑓, 𝑦 2 Ley N pl,Rk = Aa fyk+ 0.85 Ac fck+ As fsk (EI)eff,y = Ea Iay + Ke Ecm Icy + Es Isy As = Area of reinforcement bar fsd = Design yield strength of reinforcement N pl,Rd = Plastic resistance to compression Ncr = Critical elastic buckling load N Ed = Factored axial compression force h 𝑏 ≤5 cross-sectional area of bar reinforcement does not exceed 0.06 Ac For fully encased steel section, maximum thickness of concrete cover, Cz = 0.3h, Cy = 0.4 b Ecm = Secant modulus of elasticity of concrete 𝐸𝐼 𝑒𝑓𝑓, 𝑦 = Effective flexural stiffness Ley = Effective length of the column Ky = Effective length coefficient Design Procedure for composite columns using Concrete-Filled Steel Tubes (CFST) As per BS EN 1994-1-1 N 1 Mz,1 My,1 Mz, 2 My,2 N2 Intermediate rectangular column section subject to compression and bending Inputs Column details = 4.8 m ky = 1.0 (major axis direction) Effective length coefficients kz = 0.85 (minor axis direction) z Column Length, L ta =20 h = 500 Cross-section dimensions = 500 x 300 x 20 mm thick RHS y Material properties Structural steel (Hot-Rolled) = Grade S355 (fy = 355 N/mm2) Concrete = C35 (fck = 35 N/mm2) Note: Reinforcement is not provided for the in-filled concrete. Factored force demands Factored axial compression force N Ed = 11000 kN Modulus of elasticity Ea = 210 kN/mm2 Secant modulus of elasticity Ecm= 33.5 kN/mm2 Design of CFST column subject to axial compression b=300 Cross-section of CFST column Cross-section geometry & properties of composite section Properties of Tubular section = 300 mm Area of tubular section, Aa = 30.4 x 103 mm2 Depth, h = 500 mm Major axis moment of inertia, Iay = 1016 x 106 mm6 20 mm Minor axis moment of inertia, Iaz = 415 x 106 mm6 Thickness, ta = z ta =20 Properties of in-filled concrete Ac = 260 x 460 = 119.6 x 103 mm2 Major axis moment of inertia, Icy = 260 x 4603 12 460 x 260 = 2109 x 106 mm4 460 Area of in-filled concrete, y h = 500 Breadth, b 260 3 Minor axis moment of inertia, Icz = 12 = 674 x 106 mm4 Design strength of material b=300 fy 355 1.0 Cross-section of CFST column fy = yield strength of steel a 𝛾a = partial safety factor of steel = 1.0 (as per BS EN 1994 -1-1) fck = Characteristic Strength of Concrete fck 35 2 Design compressive strength of concrete, fcd = 𝛾 = = 23.3 N/mm 𝛾 = partial safety factor of concrete (BS EN 1994 -1-1) 1.5 c c Design yield strength of steel, fyd = 𝛾 = = 355 N/mm2 Design of CFST column subject to axial compression Inputs Column details Effective length coefficients ky = 1.0 (major axis direction) kz = 0.85 (minor axis direction) For a braced column ,0.5 ≤ K ≤ 1 IN LONGITUDINAL DIRECTION 𝛽1 = 𝛽2 = 𝐾𝑐 𝐾𝑐 + 𝐾𝑏 2 x1016 x106 Ʃ𝐾𝑐 = = 423333.33 𝑚𝑚3 4800 𝐾𝑏,𝑖 = 𝛾 𝑖 𝐼𝑖 𝑙𝑖 γi = 1(if ends are built-in) 2x1 x 77991 x 103 Ʃ𝐾𝑏 = = 22283.32 𝑚𝑚3 7000 β1= 0.95 β2= 1 (column is pinned at base) Design of CFST column subject to axial compression Wood’s Curve Inputs Column details Effective length coefficients ky = 1.0 (major axis direction) kz = 0.85 (minor axis direction) For a braced column ,0.5 ≤ K ≤ 1 IN TRANSVERSE DIRECTION 𝛽1 = 𝛽2 = 𝐾𝑐 𝐾𝑐 + 𝐾𝑏 2 x415 x106 Ʃ𝐾𝑐 = = 172916.67 𝑚𝑚3 4800 𝛾𝑖 𝐼𝑖 𝐾𝑏,𝑖 = 𝑙𝑖 γi = 1(if ends are built-in) 2x1 x 1008 x 106 Ʃ𝐾𝑏 = = 28571.42 𝑚𝑚3 7000 β1= 0.6 β2= 1 (column is pinned at base) Design of CFST column subject to axial compression Wood’s Curve Relative slenderness ratio of the composite column Relative slenderness 𝜆 = Npl, 𝑅𝑘 Ncr N pl,Rk = Characteristics value of plastic resistance to compression N pl,Rk = Aa fyk+ 1.0 Ac fck + As fsk = [(30.4 (355)) + (1.0 (119.6) (35)) + (0)] x 103 x 10-3 = 10792 + 4186 = 14978 kN About the major axis About the minor axis (EI)eff,z = Ea Iaz + Ke Ecm Icz + Es Isz (EI)eff,y = Ea Iay + Ke Ecm Icy + Es Isy Ea Iay = 210 x 1016 x 106 x 10-6 = 213360 kN-m2 Ke Ecm Icy = 0.6 x 33.5 x 2109 x 106 x 10-6 = 42390 kN-m2 (EI)eff,y = 213360 + 42390 = 255750 kN-m2 Ncr y = 𝜆𝑦 = 𝑒𝑓𝑓 , 𝑦 Ley 2 14978 109560 π2 x 255750 = 4.8² Ke Ecm Iz = 0.6 x 33.5 x 674 x 106 x 10-6 = 13547 kN-m2 (EI)eff,z = 94710 + 13547 = 108257 kN-m2 Lez = kz L = 0.85 x 4.8 = 4.08 m Ley = ky L = 1.0 x 4.8 = 4.8 m 𝜋 2 𝐸𝐼 Ea Iaz = 210 x 451 x 106 x 10-6 = 94710 kN-m2 = 109560 kN = 0.37 (Major axis slenderness ratio) Ncr z = 𝜆𝑧 = Design of CFST column subject to axial compression 𝜋 2 𝐸𝐼 𝑒𝑓𝑓 , 𝑧 Lez2 14978 64165 = π2 x 108257 4.08² = 64165 kN = 0.48 (minor axis slenderness ratio) Check for applicability of simplified method z The scope of the simplified method in BS EN 1994-1-1 is limited, as follows: 2) 0.2 ≤ δ (steel contribution ratio) ≤ 0.9. O.K. ta =20 460 3) Slenderness ratio 𝜆 ≤ 2.0. O.K. y 4) The cross-sectional area of bar reinforcement does not exceed 0.06 Ac. O.K. 5) The aspect ratio, 0.2 ≤ h ≤ 5, where h =column depth and b = column width. O.K. 𝑏 h 500 = 300 = 1.67 N pl,Rd = Aba fyd+ 1.0 Ac fcd + As fsd = [(30.4 (355)) + (1.0 (119.6) (23.3)) + (0)] x 103 x 10-3 = 10792 + 2786 = 13578 kN δ= Aa fyd 30.4 x 355 x 10−3 x 103 = 0.795 N pl,Rd= 13578 𝜆𝑦 = 0.37 < 2.0 ; 𝜆𝑧 = 0.48 < 2.0 Design of CFST column subject to axial compression h = 500 1) The column is doubly symmetrical and uniform cross-section over its length. O.K. 260 b=300 Cross-section of CFST column Aa = Area of tubular section fyd = Design yield strength of steel Ac = Area of in-filled concrete fcd = Design compressive strength of concrete As = Area of reinforcement bar fsd= Design yield strength of reinforcement N pl,Rd = Plastic resistance to compression Compressive resistance of the column 𝜙 = 0.5 1 + 𝛼 𝜆 − 0.2 + 𝜆2 = 0.5 [ 1+ 0.21 (0.48 -0.2 ) + 0.482] = 0.646 𝜒= 1 [𝜙+ 𝜙2 − λ2 0.5 ] = 1 0.646 + 0.6462 −0.482 0.5 = 0.93 ≤ 1 χ N pl,Rd = 0.93 x 13578 = 12628 kN > NEd = 11000 kN χ = stress reduction factor for column buckling using buckling curve a for concrete filled RHS OK Resistance of member in axial compression N Ed 11000 = = 0.87 < 1 χ N pl,Rd 12628 Unity factor for buckling in pure compression is 0.87 Design is satisfactory for pure axial compression. Design of CFST column subject to axial compression COMBINED AXIAL LOAD AND BENDING • Structural members are subject to combined compressive axial load and bending is referred to as beamcolumn. • The bending may result from eccentric loading, transverse loads or applied moments. • In structures, beams are usually supported by columns through framing angles or brackets on the sides of the columns. Reaction from the beams are referred as eccentric loading which produce bending moment. e p e P Subject to eccentric load p p M1 P Subject to transverse load M2 P Subject to end moment Simplified Interaction Curve Cl 6.7.3.2 • Point A defines the plastic compression resistance. • Point B corresponds to the plastic bending resistance. • Point C, the plastic resistances of the cross-section in compression and in bending. • Point D, the plastic neutral axis coincides with the centroidal axis of the cross section. fcdffcd fcdcd hhn n hn As per BS EN 1994-1-1 - -- fydffyd fydyd -++ + fsdffsdfsdsd M M M === pl,Rd M M 0M BCD pl,Rd max,Rd A == 0=NNpm,Rd N NAN= N BNC D pl,Rd C/ 2 Npm, Rd = plastic resistance of concrete in compression Design of CFST column subject to combined axial compression and bending Simplified Interaction Curve Cl 6.7.3.2 The neutral axes (hn) for points B and C can be determined from the difference in stresses at points B and C. - NA = Npl,Rd fyd fcd As per BS EN 1994-1-1 MB = Mpl,Rd hn + hn hn NB = 0 fyd fsd MC = Mpl,Rd - - NC = Npm,Rd + fyd fcd Point D occurs the neutral axis lies at mid-depth. fsd - - fcd Point C occurs when the neutral axis hn below the plastic centroid fsd MA = 0 hn the neutral axis outside the section, for this pure axial compression condition (Point A) hn is the distance of the neutral axis above the centroid, for this pure flexure condition (Point B) fyd fcd - + Design of CFST column subject to combined axial compression and bending fsd MD = Mmax,Rd ND = NC / 2 Inputs NEd Column details z My,max, Ed = 4.8 m ky = 1.0 (major axis direction) Effective length coefficients t =20 kz = 0.85 (minor axis direction) a Cross-section dimensions = 500 x 300 x 20 mm thick RHS h = 500 Column Length, L y Material properties Structural steel (Hot-Rolled) = Grade S355 (fy = 355 N/mm2) Concrete = C35 (fck = 35 N/mm2) Note: Reinforcement is not provided for the in-filled concrete. Factored force demands b=300 Cross-section of CFST column r x My,max, Ed Factored axial compression force N Ed = 11000 kN M y,max, Ed =75 kN-m [about y-y (major) axis] NEd Factored bending moment Uniaxial bending Ea = 210 kN/mm2 M z,max, Ed = 0 kN-m [about z-z (minor) axis] Modulu of elasticity End moment ratio, r = - 0.5 Secant modulus of elasticity Ecm = 33.5 kN/mm2 Design of CFST column subject to combined axial compression and bending Inputs NEd Considering, End moment ratio r = - 0.5 • r is either called as end moment ratio or bending coefficient My,max, Ed • To take into account for non-uniformity, a bending coefficient was introduced by Kirby and Nethercot (1979). • The ratio of end moments 𝑀1 ∕ 𝑀2 is positive when 𝑀1 and 𝑀2 have the same sign (single curvature bending), and negative when they are of opposite signs (reverse curvature bending). r x My,max, Ed NEd Design of CFST column subject to combined axial compression and bending Bending resistance of the column Calculation of plastic section modulus y-y axis 260 x 4602 Plastic Section Modulus of Concrete , Zpc = = 13.7 x 106 mm3 4 Plastic Section Modulus of steel, Zpa = b x h2 4 - Zpc = 300 x 5002 4 - 13.7 x 106 = 4950 x 103 mm3 Depth of plastic neutral axis 2 bhnfcd + 4thn 2fyd − fcd = Ac fcd − Asn (2 fsd − fcd) hn = 𝐴𝑐 fcd − Asn (2 fs𝑑− fcd) 2 𝑏 fcd + 4𝑡 2fyd − fcd 119.6 × 103 × 23.3 − 0 = 2 ×300 ×23.3+4 ×20 ×(2 ×355 −23.3 ) = 40.4 mm Zpcn = (b - 2t) x hn2 - Zpsn = (300 -2 x 20) x 40.42 – 0 = 424 x 103 mm3 Zpan = b x hn2 - Zpcn - Zpsn = 300 x 40.42 - 424 x 103 = 65.6 x 103 mm3 fyd fcd hn hn - + fsd MC = Mpl,Rd NC = Npm,Rd Zpcn = Plastic Section Modulus of Concrete within region of hn, Zpan = Plastic Section Modulus of steel within region of hn Design of CFST column subject to combined axial compression and bending Establish the key points on the axial force – moment interaction diagram Point A - Plastic compression resistance. N pl,Rd = Aa fyd+ 1.0 Ac fcd + As fsd = [(30.4 (355)) + (1.0 (119.6) (23.3)) + (0)] x 103 x 10-3 = 10792 + 2786 = 13578 kN Point B - Plastic bending resistance. Mpl Rd = Mmax Rd – Mpn Rd Mpl Rd = fyd (Zpa – Zpan) + 0.5 fcd (Zpc – Zpcn) + fsd (Zps – Zpsn) = [ 355 x (4950 x 103 - 65.6 x 103)+ 0.5 x 23.3 x (13.7 x 106 – 424 x 103)] x 10-6 = 1734 + 155 = 1889 kN-m Point D Mmax,Rd = fyd Zpa + 0.5 fcd Zpc = [ 355 x 4950 x 103 + 0.5 x 23.3 x 13.7 x 106 ] x 10-6 = 1917 kN-m Npm, Rd / 2 = fcd Ac = (23.3 x 119600 x 10-3 ) / 2 = 1393 kN Npm, Rd = plastic resistance of concrete in compression Point C - Plastic resistance to compression and bending Npm, Rd = fcd Ac = 23.3 x 119600 x 10-3 = 2786 kN MC = Mpl Rd Design of CFST column subject to combined axial compression and bending Establish the key points on the axial force – moment interaction diagram Point E Δ ME = (b h2E – ZcE) fyd + 0.5 ZcE fcd hE = 0.25h + 0.5hn = 0.25 (500) + 0.5 (40.4) = 145.2 mm ZcE = (b – 2t ) fyd fcd hn h2 E - - hn hE + 3 mm3 = (300 – 2 x 20) x 145.22 = 5481Plastic x 10resistance to compression ZaE = bhE2 - ZcE 3 3 3 = 300 x 145.22 – 5481 NE x 10 = 844 x 10 mm Plastic resistances of the cross-section in compression and in bending ΔME = [ (300 x 145.22 – 5481 x 103) x 355 + 0.5 x 5481 x 103 x 23.3 ] x 10-6 Plastic neutral axis coincides with the centroidal axis of the cross section. = 299.6 + 63.9 = 363.5 kN-m ME = Mmax ,Rd – ΔME = 1917 – 363.5 ME = 1553.5 kN-m NE = 4 hE t fyd + [0.5 Ac + (b – 2t) hE ] fcd Plastic bending resistance = { 4 x 145.2 x 20 x 355 + [0.5 x 119600 + (300 – 2 x 20) x 145.2] x 23.3 } x 10-3 = 4124 + 2273 = 6397 kN Design of CFST column subject to combined axial compression and bending fsd MD = Mmax,Rd ND = NC / 2 Simplified interaction curve of the composite cross section subject to uniaxial bending 𝑥 −𝑥 x = (𝑦2 −𝑦1 ) (y – y1) + x1 2 Plastic resistance to compression MEd = 1 𝑀𝐸 − 0 (𝑁𝐸 −𝑁𝑝𝑙 𝑅𝑑 ) ( NEd – Npl Rd) + 0 1553.5− 0 MEd = (6397 −13578) (11000 – 13578) + 0 MEd = 558 kN-m Plastic resistances of the cross-section in MEd = μd Mpl,Rd compression and in bending MEd Plastic neutral axis coincides with μdthe = centroidal Mpl,Rd = axis of the cross section. 558 1889 = 0.29 < 1 Plastic bending resistance Design of CFST column subject to combined axial compression and bending Amplification of compressive force of the column using second order elastic analysis About the major axis Ea Ia = 210 x 1016 x 106 x 10-6 = 213360 kN-m2 KeII Ecm Ic = 0.5 x 33.5 x 2109 x 106 x 10-6 = 35325 kN-m2 (EI)eff,II = Ko (Ea Ia + Es Is + KeII Ecm Ic) = 0.9 x (213360 + 0 + 35325) = 223816 kN-m2 Ncr,eff = 𝜋2 𝐸𝐼 𝑒𝑓𝑓,𝐼𝐼 Le2 L ea = 300 = 4800 300 = π2 x 223816 = 4.8² 95876 kN = 16 mm Mi = NEd ea = 11000 x 16 x 10-3 = 176 kN-m K= β NEd 1− Ncr,eff NEd 11000 Second order effects should be considered Ncr,eff = 95876 = 0.11 > 0.1 = 1 11000 1−95876 Cl 6.7.3.4 = 1.14 MEd,II,I = 1.14 x 176 = 198.9 kNm Design of CFST column subject to combined axial compression and bending Check for compressive resistance for second order effects According to the simplified interaction curve, 0.9 x MEd,II,I = 179.0 kNm N − 13578 11000 − 13578 N − Npl,Rd NEd− Npl,Rd = = −4.622 𝑁 = 13578 − 4.622 M = M 558 M MEd 𝑁𝑅𝑑 = 13578 − 4.622 179 = 12750𝑘𝑁 > 11000𝑘𝑁 (= 𝑁𝐸𝑑 ) Design is satisfactory for axial compression due to second order effects. Amplification of bending moment in the column using second order elastic analysis Assume bending ratio, r = -0.5 β = 0.66 + 0.44 r = 0.66 + 0.44 (-0.5) = 0.44 𝑘𝑚 = β 1 − NEd Ncr,y,eff = 0.44 1 −11000 95876 = 0.497 MEd,II,m = km My,Ed = 0.497 x 75 = 37.275 kN-m Design of CFST column subject to combined axial compression and bending Check for combined compression and bending resistance for second order effects Total moment at the mid-height, MEd,max = 198.9 + 37.27 = 236.2 kN-m > My,Ed = 75 kN-m • Moment due to second-order effects is higher than first-order moment. • Hence, it is essential to check for bending resistance against second-order moments. μ = moment resistance ratio obtained from the N-M interaction curve MEd Mpl N Rd =μ MEd α Mpl Rd d M MEd Mpl N Rd = ≤1 236.2 = 0.29 x 0.9 x 1889 0.4 < 1 Cl:6.7.3.6 Design is satisfactory for combined compression and bending. Summary CFST of 500 x 300 RHS is acceptable for column of 4.8m length Design of CFST column subject to combined axial compression and bending Inputs NEd Column details z My,max, Ed = 4.8 m ky = 1.0 (major axis direction) Effective length coefficients t =20 kz = 1.0 (minor axis direction) a Cross-section dimensions = 500 x 300 x 20 mm thick RHS Mz,max, Ed h = 500 Column Length, L y Material properties Structural steel (Hot-Rolled) = Grade S355 (fy = 355 N/mm2) Concrete = C35 (fck = 35 N/mm2) Note: Reinforcement is not provided for the in-filled concrete. Factored force demands b=300 Cross-section of CFST column Factored axial compression force N Ed = 11000 kN M y,max, Ed = 75 kN-m [about y-y (major) axis] NEd Factored bending moment Ea = 210 kN/mm2 M z,max, Ed = 10 kN-m [about z-z (minor) axis] Modulu of elasticity End moment ratio, r = - 0.5 Secant modulus of elasticity Ecm = 33.5 kN/mm2 Design of CFST column subject to combined axial compression and bending Bending resistance of the column Calculation of plastic section modulus Z-Z axis 2602 x 460 Plastic Section Modulus of Concrete , Zpc = = 7.77 x 106 mm3 4 Plastic Section Modulus of steel, Zpa = b x h2 4 - Zpc = 3002 x 500 4 - 7.77 x 106 = 3480 x 103 mm3 Depth of plastic neutral axis 2 hhnfcd + 4thn 2fyd − fcd = Ac fcd − Asn (2 fsd − fcd) hn = 𝐴𝑐 fcd − Asn (2 fs𝑑− fcd) 2 ℎ fcd + 4𝑡 2fyd − fcd = 119.6 × 103 × 23.3 − 0 2 × 500 ×23.3+4 ×20 ×(2 ×355 −23.3 ) = 35.6 mm Zpcn = (h - 2t) x hn2 - Zpsn = (500 -2 x 20) x 35.62 – 0 = 583 x 103 mm3 Zpan = h x hn2 - Zpcn - Zpsn = 500 x 35.62 - 583 x 103 = 50.6 x 103 mm3 fyd fcd hn hn - + fsd MC = Mpl,Rd NC = Npm,Rd Zpcn = Plastic Section Modulus of Concrete within region of hn, Zpan = Plastic Section Modulus of steel within region of hn Design of CFST column subject to combined axial compression and bending Establish the key points on the axial force – moment interaction diagram Point A - Plastic compression resistance. N pl,Rd = Aa fyd+ 1.0 Ac fcd + As fsd = [(30.4 (355)) + (1.0 (119.6) (23.3)) + (0)] x 103 x 10-3 = 10792 + 2786 = 13578 kN Point B - Plastic bending resistance. Mpl Rd = Mmax Rd – Mpn Rd Mpl Rd = fyd (Zpa – Zpan) + 0.5 fcd (Zpc – Zpcn) + fsd (Zps – Zpsn) = [ 355 x (3480 x 103 - 50.6 x 103)+ 0.5 x 23.3 x (7.77 x 106 – 583 x 103)] x 10-6 = 1217 + 84= 1301 kN-m Point D Mmax,Rd = fyd Zpa + 0.5 fcd Zpc = [ 355 x 3480 x 103 + 0.5 x 23.3 x 7.77 x 106 ] x 10-6 = 1325 kN-m Npm, Rd / 2 = fcd Ac = (23.3 x 119600 x 10-3 ) / 2 = 1393 kN Npm, Rd = plastic resistance of concrete in compression Point C - Plastic resistance to compression and bending Npm, Rd = fcd Ac = 23.3 x 119600 x 10-3 = 2786 kN MC = Mpl Rd Design of CFST column subject to combined axial compression and bending Establish the key points on the axial force – moment interaction diagram Point E Δ ME = (b h2E – ZcE) fyd + 0.5 ZcE fcd hE = 0.25b + 0.5hn = 0.25 (300) + 0.5 (35.6) = 92.8 mm ZcE = (h – 2t ) - - hn hn hE2 fyd fcd hE Plastic resistance to compression + = (500 – 2 x 20) x 92.82 = 3961 x 103 mm3 ZaE = hhE2 - ZcE = 500 NxE 92.82 – 3961 x 103 = 345 x 103 mm3 ΔME = [ (500 x 92.82 – Plastic resistances of the cross-section in compression and in bending 3961 x 103) x 355 + 0.5 x 3961 x 103 x 23.3 ] x 10-6 = 122.5 + 46.1 = 168.6kN-m Plastic neutral axis coincides with the centroidal axis of the cross section. ME = Mmax ,Rd – ΔME = 1325 – 168.6 = 1156.4 kN-m NE = 4 hE t fyd + [0.5 Ac M + (h – 2t) hE ] fcd E = { 4 x 92.8 x 20 x 355 + [0.5 x 119600Plastic + (500 2 x 20) x 92.8] x 23.3 } x 10-3 bending – resistance = 2635 + 1054 = 3659 kN Design of CFST column subject to combined axial compression and bending fsd MD = Mmax,Rd ND = NC / 2 Simplified interaction curve of the composite cross section subject to uniaxial bending A Npl,Rd = 13578 x= Plastic resistance to compression N (kN) NEd 𝑥2 −𝑥1 (𝑦2 −𝑦1) (y – y1) + x1 𝑀 −0 μd Mpl Rd E NE 𝐸 MEd = (𝑁𝐸 −𝑁𝑝𝑙 (1156 , 3659 ) MEd = Plastic resistances of the crosssection in compression and in bending (1301 Plastic neutral axis coincides the, 2786 ) C with centroidal axis of the cross section. D (1325 , 1393 ) Npm,Rd Npm,Rd 2 MEd ME Plastic bending resistance M (kNm) B Mpl,Rd = 1301 ) 𝑅𝑑 ( NEd – Npl Rd) + 0 1156.4− 0 (3659 −13578) (11000 – 13578) + 0 MEd = 300 kN-m MEd = μd Mpl,Rd M 300 μd = M Ed = 1301 = 0.23 < 1 pl,Rd Design of CFST column subject to combined axial compression and bending Amplification of compressive force of the column using second order elastic analysis About the major axis Ea Ia = 210 x 415 x 106 x 10-6 = 87150 kN-m2 KeII Ecm Ic = 0.5 x 33.5 x 674 x 106 x 10-6 = 11290 kN-m2 (EI)eff,II = Ko (Ea Ia + Es Is + KeII Ecm Ic) = 0.9 x (87150+ 0 + 11290) = 88596 kN-m2 Ncr,eff = 𝜋2 𝐸𝐼 𝑒𝑓𝑓 ,𝐼𝐼 Le2 L ea = 300 = 4800 300 = π2 𝑥 88596 = 4.8² 3795 kN = 16 mm Mi = NEd ea = 11000 x 16 x 10-3 = 176 kN-m K= β NEd 1− Ncr,eff NEd 11000 Second order effects should be considered Ncr,eff = 3795 = 2.89 > 0.1 = 1 11000 1− 3795 Cl 6.7.3.4 = 0.52 ≤ 1 MEd,II,I = 1 x 176 = 176 kNm Design of CFST column subject to combined axial compression and bending Check for compressive resistance for second order effects According to the simplified interaction curve, 0.9 x MEd,II,I = 158.4 kNm N − 13578 11000 − 13578 N − Npl,Rd NEd− Npl,Rd = = −8.6 = M 300 M MEd 𝑁 = 13578 − 8. 6 M 𝑁𝑅𝑑 = 13578 − 8.6 158.4 = 12215𝑘𝑁 > 11000𝑘𝑁 (= 𝑁𝐸𝑑 ) Design is satisfactory for axial compression due to second order effects. Amplification of bending moment in the column using second order elastic analysis Assume bending ratio, r = -0.5 β = 0.66 + 0.44 r = 0.66 + 0.44 (-0.5) = 0.44 𝑘𝑚 = β 1 − NEd Ncr,y,eff = 0.44 1 −11000 95876 = 0.497 MEd,II,m = km M,Ed = 0.497 x 10= 4.97 kN-m Design of CFST column subject to combined axial compression and bending Check for combined compression and bending resistance for second order effects Total moment at the mid-height, MEd,max = 176 + 4.97 = 180.97 kN-m > Mz,Ed = 10 kN-m • Moment due to second-order effects is higher than first-order moment. • Hence, it is essential to check for bending resistance against second-order moments. μ = moment resistance ratio obtained from the N-M interaction curve MEd Mpl N Rd = MEd μd αM Mpl Rd MEd,max = μ M pl,Rd ≤1 180.97 = 0.23 x 0.9 x 1301 0.5 < 0.9 Cl:6.7.3.6 Design is satisfactory for combined compression and bending. Design of CFST column subject to combined axial compression and bending Check for combined compression and biaxial bending For the combined compression and biaxial bending following condition should be satisfied for the stability check. My Ed μd Mpl y Rd M ZEd Mpl z Rd d +μ ≤1 MyEd = Total moment including second order effect in y -y plane Mz Ed = Total moment including second order effect in z -z plane Mpl y Rd = Plastic bending resistance in y -y plane Mpl z Rd = Plastic bending resistance in z –z plane 236.2 0.29 x 1889 + 180.97 0.24 x 1301 = 0.9 ≤ 1 Design is satisfactory for combined compression and biaxial bending. Summary CFST of 500 x 300 RHS is acceptable for column of 4.8m length Design of CFST column subject to combined axial compression and bending Design of Concrete filled steel tubes 1 Introduction 2 5 6 Materials and Component Behavior 3 Application and Design Procedure for CFST 4 Connections Economical Benefit of CFST structure Fire Performance and Limitation Connections The connections can be classified according to the behavior in terms of moment versus rotation relationship Simple connection: • It able to transmit internal forces but unable to transmit bending moments. Semi-rigid connection: • The connection can transfer internal forces and moments. • Rotation between connected members cannot be neglected. Rigid connection: • It can withstand moment by maintaining the perfect angle between the two members. Connections Simple Connection Simple connections between steel beams to concrete filled steel tubular column with fin plates Simple beam-column connection with steel corbel Connections Simple Connection CFST column to hollow section beam connection Stiffened seat connection Ref: Kurobane et al. 2004 Connections Simple Connection Shear plate connection T-connection “Through-plate” connection Ref: Kurobane et al. 2004 Connections Moment Connection Steel beam to column moment connection with external diaphragm plates Detailing for edge and corner columns with external diaphragm plates Connections Rigid connection Connection with RC ring Connection with variable width RC beam Connection with anchor stiffeners Ref: Kurobane et al. 2004 Design of Concrete filled steel tubes 1 Introduction 2 5 6 Materials and Component Behavior 3 Application and Design Procedure for CFST 4 Connections Economical Benefit of CFST structure Fire Performance and Limitation Economical Benefits of CFST Structure Analysis on building use Function Building type : Hospital building in Tianjin - China as a reference building. Number of stories : 15 Floor area : 17,385 m² Structure type : Reinforced concrete structure Column Type Steel Consumed Cement Consumed Concrete Consumed Reinforced concrete column 100 % 100 % 100 % Concrete filled steel tube column 99.4 % 57 % 57 % Ref: Jinming Liu Et.al Cement consumption in CFST Structure is 57% of RC structure Economical Benefits of CFST Structure Analysis on building use Function Column Section Average RC column Section Average CFST column Section Centre and Side Column Section 0.49 m2 0.28 m2 Column Weight of CFST is 59% of RC Ref: Jinming Liu Et.al Weight of CFST structure is 40 % lighter than RCC building (construction cost would be saved) The cost of formwork and manpower of erecting and stripping of formwork can be saved If steel tubes are installed instead of erecting the formwork, the savings in cost is 85% Economical Benefits of CFST Structure Case Study Ref : Ketan Patel and Sonal Thakkar Plan of building : 38.4m X 32m Typical storey height : 3m 20 Storey building Type of building Column Size Design Capacity (kN) Steel Building ISWB 600 10250 Less than 19.1 % than CFST building RCC building GF to 10th floor D=900 11th to 20th floor D = 700 11402 Less than 27.3 % than CFST building CFST building D = 800 and t = 9mm 14094 Economical Benefits of CFST Structure Case Study Ref : Ketan Patel and Sonal Thakkar Plan of building : 38.4m X 32m Typical storey height : 3m 30 storey building Type of building Column Size Design Capacity (kN) Steel Building D = 1000 and t = 20mm 19032 RCC building GF to 10th floor D=1100 11th to 20th floor D = 900 20th to 30th floor = 700 Less than 11.8 % than CFST building 16675 Less than 22.8 % than CFST building CFST building D = 1000 and t = 11mm 21558 Instead of increase the size of column in RC structure, will reduce the size of column in high rise building by adopting Composite columns which provides good strength and stability. CFST Structure for Sustainable Construction There is need to build all living and working spaces in minimum use of scarce resources like energy and water. By CFST construction, Environmental burden can be reduced by omitting the formwork. Using concrete made from recycled aggregates Steel which is a major constituent material of CFST, itself being almost totally recycled material is a green material Design of Concrete filled steel tubes 1 Introduction 2 5 6 Materials and Component Behavior 3 Application and Design Procedure for CFST 4 Connections Economical Benefit of CFST structure Fire Performance and Limitation Fire performance • The fire resistance of unprotected hollow steel tubular columns in high-rise buildings is normally found to be less than 30 minutes. • For CFST columns, the filled concrete can significantly increase the fire resistance. Because the heat is absorbed by the core concrete, the temperature in the steel tube increases much slower than that of the bare hollow steel tubes. • The outer tube provides a confinement to the core concrete during the fire exposure, the spalling of the core concrete can be prevented. Behaviour of CFST in Fire • The steel tube expands faster than the concrete core, in such a way that the steel section carries higher load than the concrete core. • The heat gets transferred from the steel to concrete core which has lower thermal conductivity. • After 20 minutes the strength of steel tube starts to decrease due to its elevated temperature. • As the temperature advances through the concrete core its strength decreases until it eventually fails either due to buckling or compression Ref : Espinos(2012) • Higher ratio of concrete load capacity to overall column strength. Material strength Column Size • The concrete core of a larger sized column will support a greater proportion of the total load than a smaller one. • Short column fails by material degradation and long column fails by instability. Effective Length Parameters affecting fire performance Applied load • The lower the level of the applied load, the lower the stresses produced, and the longer the period of fire stability of the column. 75 Fire performance • Fire proof coating are used to protect steel and steel-concrete composite structures and they can form an effective fire insulation layer. Non Reactive type – Fire Coating Non-reactive type Sprays Cement mortar Concrete encasement Reactive type Thin film Intumescent fire coating (IFC) • It have relatively constant physical and thermal properties and no chemical reaction would occur when heated. • It have several defects such as high thickness, heavy weight, poor durability and difficult maintenance. Reactiveencasement type – Fire Coating Sprays and Cement Mortar Concrete • IFC is composed of constituents including resin, dehydrating catalyzer, carbonizing agent, vesicant, fillers and additives. • Light weight, high performance, construction, aesthetic Thin filmsimple Intumescent fire coating appearance, easy to maintenance. (IFC) Changing process of intumescent fire coating in fire Before testing After testing Ref : Qian-Yi Song et al.(2018) Chemical reaction would occur when IFC is heated, and large amount of heat is absorbed by smoke and fume Inproduced practices,inthe fire proofMeanwhile, coatings canthe be intumescent used to protect steel and composite structural members thenon-reactive chemical reaction. material would be charred, significantly satisfying fire fluffy resistance rating up which to 180 has minrelatively in standard fire.heat conductivity. swell and gradually change to a thick foamed layer small Limitations • Installation difficulties and corrosion of steel plate causes de-bonding of members. • If the steel tube dilates more from its actual position than that of concrete. It results in lack of confining pressure causes reduction in the strength and stiffness of column. • Design guidelines for CFST (IS 11384-1985) in India should be improved, as far as now no proper design guidelines are available in India Thank you