Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham ice | proceedings Proceedings of the Institution of Civil Engineers http://dx.doi.org/10.1680/bren.14.00029 Paper 1400029 Received 24/06/2014 Accepted 08/01/2015 Keywords: bridges/seismic engineering/steel structures ICE Publishing: All rights reserved Design of the Padma road and rail bridge, Bangladesh S. H. Robin Sham BSc, PhD, DIC, CEng, FCGI, FRSA, FICE, FHKIE Global Long Span and Specialty Bridges Director, AECOM, Shatin, Hong Kong The 6?15-km-long Padma road and rail bridge will become a landmark structure in Bangladesh and one of the largest river crossings in the world. The design encountered significant engineering challenges, particularly from the hostile site conditions and the merciless forces of nature. During the monsoon season the Padma River becomes fast flowing, and is susceptible to deep scour, demanding deep, piled foundations. The bridge site is also in an area of considerable seismic activity, leading to significant seismic loads being exerted on the structure. In the design, extensive engineering studies were conducted, advanced computational analyses were employed and innovative engineering solutions were developed to ensure that the bridge will be able to survive the challenges of nature in its long design working life. The project has accumulated a significant body of knowledge in seismic-resilient and scour-tolerant design, and it has advanced understanding of bridge behaviour in conditions of severe earthquake and deep riverbed scour. 1. Introduction 1.1 The significance of the project Bangladesh is a nation in a region stricken by poverty, famine, flooding, earthquakes and natural disasters beyond description. The light would have gone out on that nation had it not been for the dignity and perseverance of its people. However, dignity and perseverance have to be supported by vision and strategic planning. The construction of Padma Multipurpose Bridge, a top-priority project in Bangladesh, is exemplary of that vision and strategic planning. The 6?15-km-long river crossing will replace an existing hazardous ferry link and a saturated make-shift roadwork. The bridge will stimulate the economic growth of Bangladesh, increasing gross domestic product (GDP) by 1?2%. It will also provide a reliable and relatively fast link to the poverty-stricken south west, increasing its GDP by 2?3%. The Padma Bridge is a two-level, combined rail–road river crossing, the construction cost of which was estimated at approximately US $2?97 billion. When the freight railway is in operation, it will connect to the transAsian railway route, contributing to the multimodal international transport network and enabling cargo movement between India and the container ports at Chittagong on the south coast of Bangladesh. The project is a most compelling example of poverty relief and disaster prevention, as recurring catastrophic events around the world are a poignant reminder that nature can be destructive to infrastructure. When completed, the Padma Bridge will become a landmark in Bangladesh. Never in a single campaign has the present author been so convinced of the project’s significance to the people and the nation involved (Sham, 2013). Some of the extreme difficulties faced by the design and construction are deep-rooted in the characteristics of the Padma River. The Padma River is the third largest river in the world but it has the most significant sediment transport and that poses recalcitrant problems in the design and construction of a bridge crossing. The dramatically changing nature of the river during the monsoon season accelerates the flow rate and causes major fluctuations in riverbed level; threatening to undermine the bridge foundations. At the crossing point of the bridge the river has an overall width in excess of 6 km. Both for the protection of the bridge and for the disaster prevention of the connecting highway network, extensive river training work is required. The bridge is also located in a region of strong seismic activity, which when combined with the deep riverbed scour leads to a very onerous design condition. Effectively an earthquake could strike a piled foundation at its most vulnerable, when the piles have lost substantial embedment as a result of deep scour. (Sham, 2012). In January 2009, The Bangladesh Bridge Authority appointed AECOM as Design Consultant for the project. AECOM carried out a rigorous review of the previous studies conducted for the project, before investigating in detail a series of different bridge forms. A number of feasible schemes were developed, and the design evolved into a two-level steel truss bridge, acting compositely with a concrete top slab. This scheme was judged to be the most appropriate form of structure for the project, with the highway configured in the upper deck and the railway in the lower deck. This two-level, combined railroad bridge scheme was adopted for the detailed design which was completed in 2010 (see Figure 1). The construction 1 Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham trucks are often heavily loaded, matching the load patterns predicted within the British standards. The Eurocodes would have been a possibility because there was a significant body of knowledge in their application and they had been compared to give similar results to BS 5400. However, at the detailed design stage of the Padma Bridge project, some of the principles in the Eurocodes had not been scrutinised for a project of this scale and nature outside Europe; also there was no detailed study of the potential application of the Eurocodes in Bangladesh, let alone development of its national application document. Figure 1. Padma Bridge will be a two-level structure with the highway running on the top concrete slab and the railway running in the lower deck, between the truss planes contract of the Padma Bridge was awarded in June 2014, marking a significant milestone in the history of modern bridge engineering. 1.2 A multipurpose bridge The Padma Bridge is a multipurpose structure carrying a highway, railway and utilities, including a gas pipeline and telecommunications cables. The two-level bridge enables the road, railway and utilities to be arranged in a logical manner with safe segregation of the highway and railway, together with good access for maintenance and inspection. The bridge is also provided with emergency access points in order to facilitate safe and efficient evacuation from a train on the lower deck. 2. Design criteria 2.1 Selection of suitable design codes At the outset of the project, an extensive study was conducted to develop a comprehensive set of project-specific design criteria, underpinned by international best practices for bridge design. Detailed investigations were undertaken to establish the most suitable set of international bridge codes, to be incorporated into and used in conjunction with the project-specific design criteria. The three options available were The freight railway crossing the bridge will connect to the Indian national railways and hence railway loading was based on the standards in that system. In particular, the bridge was designed to be part of a dedicated freight corridor, which implies an even higher railway loading than usual, with a load of 32?5 t per axle. The design therefore was primarily in accordance with the British standards, while the seismic loading and design were according to a combination of Japanese and American codes. 2.2 Seismic design criteria The Padma Bridge is sited in an area of high seismic activity and consequently earthquakes were a critical consideration in the design. Bangladesh University of Engineering and Technology (BUET) carried out a site-specific seismic hazard assessment, for determination of suitable seismic design parameters. Two levels of seismic hazard were adopted, as described below. & Operating level earthquake (OLE) has a return period of 100 years with a 65% probability of being exceeded during that period. In such an earthquake the bridge will experience a peak ground acceleration of 0?052g and shall remain operational for all traffic after such an event. & Contingency level earthquake (CLE) has a return period of 475 years with a 20% probability of being exceeded during the design life of the bridge (100 years). The peak ground acceleration for such an event is 0?144g in the dense sand at 2120 m PWD (metres above public works datum). Any damage sustained from such an earthquake shall be easily detectable and repairable without demolition or component replacement. & The British standard BS 5400: Steel concrete and composite bridges & The American Association of State Highway and Transportation Officials (Aashto) load and resistance factor design (LRFD) bridge design specifications & The Eurocodes. A step-by-step non-linear time history analysis was undertaken based on five Aashto spectrum-compatible acceleration–time histories representing the earthquake loading at the elevation of 2120 m PWD (refer to Figure 2). 2.3 British standard BS 5400 was selected because it was judged that its highway loading criteria most closely corresponded to the practical situation experienced in Bangladesh, in which 2 Foundation scour Another critical design criterion for the bridge was riverbed scour. There are large fluctuations in the volume of water flowing along the Padma River, causing an impact both on the Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham 0.50 0.45 Japan code ground motion I Japan code ground motion II Japan code ground motion III BUETI 2009 BUETIII 2009 Aashto 0.40 0.35 CS: g 0.30 0.25 0.50 0.15 0.10 0.05 0 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 Period: s Figure 2. Response spectra for CLE were derived from the sitespecific study conducted by BUET in 2009 and also from the ground motions given in the ‘Highway bridge design specification, part V: Seismic design’ by the Japan Road Association course of the river and on the depth of the riverbed. These phenomena are particularly acute where the presence of bridge pier foundations causes blockage to the hydraulic regime. As a result extensive river training works are required around the bridge (Neill et al., 2010) and the bridge foundations were designed for potentially severe scour conditions. Scour can essentially be divided into two parts & general scour – due to the action of the river and independent of any structure built in the river & local scour – due to an obstruction to the flow, such as a bridge pier and its foundation. General scour was studied by examining the data from the river over the past 40 years. River depth measurements were taken on a regular basis and they provided a good indication of how the river changes during the monsoon season. For local scour model tests were carried out by Northwest Hydraulic Consultants at its laboratories in Canada. Various foundation schemes were investigated, with the potential scours varying by over 7 m depending on the piling configuration. For a 100-year return period, the riverbed level was determined to be 246?7 m PWD in the regions near the river banks and 235?0 m PWD at the central region of the river. From the experiments carried out, local scour was estimated to deepen the scour by a further 15 m for an eight-raking-pile arrangement, and 20 m for 15 vertical piles. 2.4 Ship impact design criteria A study of current shipping patterns in the river identified a design vessel of 4000 DWT (deadweight tonnage) for determining the ship collision loads to be applied to the bridge. The 4000 DWT design vessel was larger than all the vessels listed in the ship register and also the future coal-handling ships which may transit the river. Based on the provisions in Aashto LRFD impact forces of 23?3 MN and 11?7 MN were derived, respectively, for head-on impact and sideways impact with the bridge substructures and foundations. The possibility of ship impact with the bridge superstructure was studied and provisions were made to mitigate ship impact with any vulnerable and exposed essential utilities carried by the bridge. The provision of fenders will be considered, either on the bridge substructures or possibly on separate structures to absorb impact energy and reduce peak load effects, if such options prove economic. 2.5 Combining loads and environmental effects The load combinations given in BS 5400, Part 2 were generally followed, but this code does not adequately address the combination of seismic loading, ship impact and scour of the foundations. The effect of scour was given special attention in 3 Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham the design, because the nature of the Padma River is unique. Scour can occur over prolonged periods and when infill of scour holes subsequently occurs, the material that fills the holes is loose and remains uncompacted for a long period after the event. The loose material will be susceptible to liquefaction and therefore cannot be relied upon for foundation resistance in a seismic event. stiffened, reducing the benefit of the stay cables and increasing the weight of the deck. This conflicted with another constraint – with poor ground conditions and onerous loading combinations, it was imperative to minimise the loads transferred to the foundations, to curb the cost escalation in foundation construction, which already constituted a high proportion of the overall cost of the bridge. Because of these severe constraints the extradosed bridge was found not to be the preferred option. With liquefaction of the compacted fill material being a serious concern, scour with a 100-year return period was adopted, to be combined with earthquake loading. In the case of ship impact, liquefaction of the infill material is not considered a problem, and therefore a lesser return period of 10 years for scour was adopted. Suitable partial safety factors were adopted to reflect the respective probability of occurrence of the events. 3. Concept creation 3.1 Severe constraints on the initial scheme 3.2 Alternative bridge deck forms for two-level bridge Alternative concrete superstructure forms were investigated. Three examples are shown in Table 1, an extradosed concrete truss bridge, a concrete girder bridge and a steel truss bridge. In each case a two-level structure was proposed because it has significant advantages over the single-level structure. & Separate highway and railway envelopes enable improved In previous studies for the bridge a number of options for the bridge form had been examined, with a single-level extradosed bridge with spans of 180 m being proposed. Then, in 2009, AECOM undertook detailed investigation of this bridge form by extensive finite-element modelling, an analysis model for which is illustrated in Figure 3. The extradosed bridge investigated consisted of a concrete box girder superstructure, supported by stay cables in order to reduce the girder depth. The freight railway, however, posed very tight tolerances on displacement and rotation, and in attempting to meet these tolerances the girder would need to be Figure 3. Global analysis model of an extradosed bridge 4 operation, inspection and emergency evacuation for the bridge. & The maximum permissible gradient on the railway is 0?5%, requiring long lengths of approach viaduct for the railway to descend to ground level. By reducing the structural depth beneath the railway (in a two-level structure the railway runs inside the structural cross-section), the length of the railway approach viaducts can be minimised. & Construction cost – a two-level structure is more efficient, with a much reduced overall width of the structure. Analytical models were developed for each of the bridge forms to determine member sizes and in particular the weight of the superstructure. The steel truss bridge was found to be the most Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham Advantages Disadvantages Extradosed concrete truss bridge A truss structure enables significant weight savings over concrete box girder schemes Use of cable supports will increase potential span lengths Truss connection nodes would be difficult to construct, leading to longer construction period and additional costs Heavier than steel deck girder schemes Twin-box concrete girder with the railway carried by a perforated beam-andslab system spanning transversely between the boxes A heavy girder leads to A straightforward erection method, similar to that used in increased demand on the foundations and limits the span other major bridges in lengths. Increased costs for Bangladesh foundations and deck girder owing to additional weight An enclosed railway is a potential safety hazard The steelwork will require A steel truss is the lightest repainting at regular intervals girder option, leading to a reduced number of piles and lowest overall cost The truss is relatively rigid and does not deflect excessively under railway loading Steel truss bridge with composite concrete top slab Table 1. Comparison of alternative bridge forms efficient with the lightest deck. Further studies were conducted on this scheme to determine the optimum span length. Overall deck weight and foundation loads were compared for three span length modules: 120 m, 150 m and 180 m. From these data a construction cost was estimated for each span length module, and the optimum span length was found to be 150 m. The conclusion of the studies carried out on the bridge deck was that the steel truss bridge, with a concrete top slab acting compositely with the truss, would be the most economic and suitable bridge form for the river crossing. The fundamental principles are that this structural form has a relatively high stiffness-to-mass ratio and it therefore has advantages in (a) the control of deflections and instantaneous longitudinal gradient under the freight railway loading, and in (b) its seismic performance, by virtue of the reduced sprung mass to be carried by the pier-and-piled foundation system in the event of an earthquake. This two-level, combined rail–road bridge scheme, comprising a steel truss superstructure acting compositely with a concrete roadway slab, was adopted for the detailed design. 3.3 Bridge geometry 3.3.1 Carriageway and railway cross-section A dual two-lane highway is carried on the upper deck, with a highway design traffic speed of 100 km/h. Each carriageway comprises two 3?5-m-wide traffic lanes with a 2?5-m shoulder and 0?5-m shoulder adjacent to the median. Provision was made for future addition of a single-track broad gauge railway along the bridge, potentially with electrification. The design rail speed is 160 km/h for passenger trains and 125 km/h for freight trains. The rail corridor clearance is based on the fixed structure gauge diagram of 5500 mm width and 7410 mm height to top of rail. The clearance diagram will allow for wide rolling stock, double-stack containers and future electrification. 3.3.2 Vertical alignment and gradients The minimum level of the approach roadway and railway at each end of the bridge was set at design high-water level (DHWL) + 1?50 m 5 +8?85 m PWD. The maximum gradient for the railway was limited to 0?5% and this tended to govern the slope of the whole structure, including the roadway over the entire length of the main bridge. 3.3.3 Navigation clearance The required horizontal and vertical navigation clearances for Padma River at the bridge site are as follows & a minimum horizontal clearance of 76?2 m & a minimum vertical clearance above standard high-water 5 Bridge Engineering level (SHWL) of 18?3 m, and this required minimum value was provided over a length of 4500 m of the main bridge crossing. An allowance of 0?3 m was added to the required minimum vertical navigational clearance. The allowance was to account for future changes to the present value of the SHWL of 5?9 m PWD due to climatic effects. The effects of live load deflections were considered in determining the soffit level of the bridge. 3.4 Foundation types In parallel with these investigations, further analysis was carried out in search of the optimum foundation scheme (Sham et al., 2010). Two types of piled foundations were investigated & large-diameter (3 m), raking, tubular steel piles & large-diameter, cast-in-situ, concrete bored piles. The raking piles were found to be more efficient in resisting lateral loads resulting from earthquake motions. The fundamental principles are that lateral loads are resisted through axial loads in the raked tubular steel piles, but in contrast lateral loads are resisted by flexure in the vertical concrete bored piles. The very large bending moments in the concrete bored piles, induced by horizontal earthquake loads, would mean that the required flexural capacity could not be generated by the provision of steel reinforcement alone. A permanent steel casing would be required to increase the bending resistance of the bored pile down to 10 m below the riverbed level (which for a 100-year scour event would be at 261 m PWD). It would also be necessary to have more than 15 in number 3?0-m-diameter vertical concrete bored piles, compared to eight raking tubular steel piles. The large number of piles increased the weight of the pile cap and also the local scour. The underlying phenomenon is that, intrinsically, a group of raking pile causes less blockage to the flow than a group of vertical piles does. The larger the number of vertical bored piles, the higher the blockage to the flow and hence the deeper the local scour will be. In turn, the deeper the scour, the greater the loss of pile embedment will be and, if that is compensated structurally by an increase in pile size or number, further hydraulic blockage will result, causing deepening scour. The design would be locked in a vicious circle. All of these factors had significant effects on the viability, cost and constructability of the piled foundations and therefore the raking tubular steel pile scheme was found to be the preferred solution, and it was carried forward into the detailed design. 4. Methodology of seismic design 4.1 Analytical methods and models A three-dimensional non-linear time history dynamic analysis was performed for the main bridge to determine the impact of seismic actions on the structure. 6 Design of the Padma road and rail bridge, Bangladesh Sham For the plan alignment of the main bridge, the subtended angle is less than 18 ˚ (the radius is 3000 m and a typical six-span module of the main bridge is 900 m). Therefore the structure was modelled as a straight line in plan. The behaviour of the bridge is complex due to its height (120 m when the effects of scour are taken into account) and the substantial mass of the superstructure, pile caps and piles. The non-linear time history dynamic analysis was based on a modified Penzien model (see Figure 4). This model was divided into two parts, the structure and the free-field soil. The interactions between the structure and the free-field soil were simulated by lateral spring links. In order to determine the equivalent shear modulus and effective damping ratio between each layer of the soil, free-field analysis was carried out beforehand using the program Shake. Subsequently, a threedimensional dynamic analysis was performed using the equivalent shear modulus and effective damping as input data. The ground motions shown in Figure 2 were applied to the model to simulate the earthquakes and loads were generated in the piers and piles accordingly. Other load combinations were explored, such as ship impact and wind, although generally these effects were not found to be critical for the substructure and foundation design. The seismic load combination governed the design. A further global analysis model was developed to investigate the global behaviour of the bridge. The bridge was divided into sixspan modules, with each span being 150 m (Figure 5). The global analysis model examined a six-span module and simulated different depths of scour at each pier foundation. The physical scenarios would represent a scour hole forming around an individual pier foundation, or a scour hole forming around two or more pier foundations. The global model investigated various different eventualities of scour at pier foundations, in order to determine the critical axial load, shear and bending in the foundation of any particular pier location. 4.2 Seismic isolation The initial design of the bridge was based on the deck girder being supported on its piers by traditional sliding bearings, with the stagnant point at the central pier of a six-span superstructure module. To avoid overloading the fixed pier due to longitudinal displacements in an earthquake, shock transmission units were provided at the top of the free piers to distribute the loads evenly between all piers. In this articulation system the loads transferred to the piers and foundations were, however, still high and therefore alternative forms of articulation were sought. Isolation bearings mitigate seismic response by isolating a structure from the seismic input. Isolation bearings can Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham SHWL +5.81 M PD Top Midas/Civil Post-processor Beam diagram 5000 Moment-y 5.27960×104 4.32002×104 3.36043×104 2.40085×104 1.44127×104 4.81681×103 0.00000 –1.43749×104 –2.39707×104 –3.35665×104 –4.31624×104 –5.27582×104 Free field THall: J1 Max: 220507 Min: 220512 File: NewDeck2T_~ Unit: kN m Date: 09/11/2014 View Direction x: 1.000 y: 0.000 –120 m PD z: 0.000 Pile model details Ground motion input Figure 4. Modified Penzien model and results for raking pile foundations accommodate thermal movements with minimum resistance, but will engage under seismic excitations. In this seismic-resilient design strategy, all primary structural members will remain elastic without any damage (or plastic hinging). A seismic isolation bearing consists of components which provide rigidity under the service loads, lateral flexibility beyond service loads, self-centring capability and energy dissipation. These principal elements have to be properly designed and fine-tuned to achieve an optimal seismic behaviour. Analyses showed that seismic forces can be greatly reduced by replacing the conventional pot bearings with isolation bearings. Friction pendulum bearings utilise the characteristics of a pendulum to lengthen the natural period of the isolated structure, 900 000 (Typical module) Pier 150 000 (Span A) Pier 150 000 (Span B) Pier 150 000 (Span C) Pier 150 000 (Span D) Pier 150 000 (Span E) Pier 150 000 (Span F ) M.J. M.J. Pier Figure 5. Typical six-span bridge module 7 Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham Single pendulum bearing cross-section Single pendulum motion Maximum credible earthquake Figure 6. Schematic diagrams of a single friction pendulum bearing so as to reduce the input of earthquake forces. Figure 6 provides schematic diagrams of a single friction pendulum bearing. The damping effect due to the sliding mechanism also helps mitigate earthquake response. Since earthquake-induced displacements occur primarily in the bearings, lateral loads and shaking movements transmitted to the structure are greatly reduced. The reduced seismic loading generated at the top of the piers led to significantly reduced pile loads. With the conventional scheme of pot bearings and shock transmission units, eight raking steel piles were required for each pier, but with seismic isolation this number of piles was reduced to six, achieving a saving in foundation cost in excess of 20% (see Figure 7). The advantages of the seismic isolation scheme were not, however, limited to the piers and foundations. The reduced seismic loading resulted in a reduction in section sizes of the Figure 7. Piled foundation for the seismic isolation scheme: six raking steel piles 8 truss members, with an overall saving in the truss steelwork tonnage of more than 6%. 5. Structural analysis of superstructure The work drew on the art and science of computer modelling for structural design, in that a hypothesis of the structural behaviour was investigated by a model, or part model, especially developed with a view to verifying the hypothesis. To this end, different models or part models were carefully formulated to verify different phenomena. 5.1 Bridge deck cross-section Figure 8 depicts the typical bridge deck cross-section. The highway is configured in the upper deck, on a concrete roadway slab designed to act compositely with the steel truss for live load effects. The railway is configured in the lower deck, supported between the truss planes. A precast concrete railway slab system is used; composite action being formed between the channelshaped slab and four longitudinal steel stringers. The railway composite deck will include fixings for connection to an in situ concrete pour for the track-form. The cross-section also shows the intended locations of utilities such as a high-pressure gas pipeline and telecommunications ducts. Walkways will also be provided to each side of the railway for inspection and maintenance purposes, as well as emergency evacuation routes. The top chords, bottom chords and diagonal members of the main trusses are fabricated in hollow steel box sections. The plate thicknesses of the boxes vary according to the location of the member. For thin plate thicknesses, longitudinal stiffeners are provided to increase the efficiency of the section in resisting compressive stresses. Box sections are also adopted for other members in the superstructure, including the lower cross beams and upper cross beams. The concrete roadway slab is a prestressed member in the longitudinal direction, and a reinforced member in the transverse direction. The longitudinal prestressing will be carried out before the composite (shear) connection is established, such that no additional stresses will be induced in the steel truss members. The railway concrete slab is of reinforced concrete construction with no prestressing. For all steel members except the steel stringers supporting the railway slab, the steel grade is S420M for plate thicknesses up Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham Upper cross beam (near pier only) Concrete roadway slab Main truss Main truss Lower cross beam Railway steel beams Concrete railway slab Figure 8. Typical cross-section of the main bridge to 40 mm and S420ML for plate thicknesses over 40 mm. For the railway slab support girders, the steel grade is S355M. to the longitudinal prestress being applied and the steel–concrete composite action being achieved. 5.2 There were three models, each representing different stages in the construction of the bridge. M.J. Pier Pier Truss lifting frame Connection established Pier & Model A was an initial model of a simply supported span of Pier Lifting vessel Spreader the truss without the concrete top slab, representing the stage at which a single span of the truss is lifted into place (see Figure 9). Pier Pier Pier M.J. Global model Global analysis models were developed using the Midas software for the superstructure design. The envisaged method for superstructure erection is by whole-span lifting and placement. Placement of the deck slab will be made after completion of the steel truss for a six-span girder module. The self-weights of the steel structure and concrete roadway slab are activated prior Figure 9. Deck erection is anticipated by lifting and placing individual spans 9 Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham bending moments and shears in the slab under highway loading. To limit the overall thickness of the slab, transverse ribs at 2-m centres were provided to enhance the transverse bending capacity of the deck. Figure 12 illustrates the solid element model. & Model B was a second model of a complete continuous module of the bridge without the concrete top slab, representing the stage at which the steel trusses are connected together but prior to the placing of the concrete roadway slab. Figure 10 depicts progressive placement of the deck slab after completion of the steel truss for a six-span girder module. Application of the self-weight of the deck slabs on the steel truss module was simulated in Model B. & Model C was a final-stage model of a complete bridge module including the concrete roadway slab (and composite action). The bridge was modelled for the tightest bridge curvature, at a radius of 3000 m. Although the deck is curved the trusses are straight over each span, the angular changes for deck curvature are concentrated at the support locations. At each pier location in the analytical model, the truss was supported on elastic springs. Only translation stiffness was provided in the model and there was no rotational restraint, because the actual bridge truss is supported on seismic isolation bearings. The stiffness of the elastic springs represented the stiffness of the pile group. Figure 11 shows part of the global model and the location of the support springs. The values of spring stiffness were derived from a separate pile group analysis and are given in Table 2. Two further models were used in the analysis of the superstructure. 5.3 Railway deck The railway is supported by four steel stringers acting compositely with a concrete deck slab. A special model was assembled, consisting of four longitudinal composite sections, connected by transverse members and a cross beam at each end. The cross beams are connected between the steel truss lower chords. The composite sections comprise steel universal beams (UB) – 914 6 419 6 388 mm. The concrete slab is 1295 mm wide and 200 mm thick. Beam-end releases were introduced at the connection points of the composite railway decks and cross beams, so that no hogging moment would be induced at these points in the composite decks, and a shear connection between the decks and cross beams could be simulated (see Figure 13). Three different types of railway live loads were applied on the composite railway deck section to represent different wheel patterns. Since the bridge is curved on plan, there exists a maximum lateral shift of 500 mm between the railway alignment and the composite deck centreline where the horizontal curvature is at its tightest. Therefore, for each load type, two cases were examined: one for the railway load applied along the deck centreline, and the other for the same load but accounting for the lateral shift of 500 mm. & Plate element model of roadway slab: the concrete roadway slab is prestressed longitudinally to ensure there is no significant cracking of the slab over the piers when acting compositely with the steel truss. A finite-element model consisting of plate elements was developed to investigate the stresses in the slab, wherein the steelwork and slab members were modelled discretely. The model was also used to examine the time-dependent effects in the concrete and the effect of transverse wind acting on the slab. & Solid element model of roadway slab: a separate finiteelement model consisting of solid elements was developed to represent the concrete roadway slab to determine the critical 6. Superstructure design In the superstructure, two main truss planes, transversely spaced at 12 m, form the major structural component. At the lower deck level, transverse lower cross beams at 18?75 m spacing connect the two bottom chords and form a platform for the railway track. At the upper deck level, a concrete slab approximately 22 m wide is placed on top of the top chords and carries the highway carriageways. Longitudinally, the main truss is in the form of a warren truss. To further increase the member stiffness, the concrete roadway 900 000 (Typical module) Pier M.J. Truss lifting frame 150 000 (Span A) Pier 150 000 (Span B) Pier 150 000 (Span C) Figure 10. Progressive placement of the deck slab after completion of the steel truss for a six-span module 10 Pier 150 000 (Span D) Pier 150 000 (Span E) Pier 150 000 (Span F) M.J. Pier Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham Spring support Figure 11. Extract of analytical model of superstructure Figure 12. Finite-element model of deck slab with 45 units of HB vehicle load applied lower non-support node lower end node lower support node upper node without cross beam upper node with cross beam. slab is connected to the top chord by shear stud connections so that they can act compositely together. The railway deck comprises longitudinal steel beams spanning between lower cross beams and a reinforced concrete railway slab, which is also compositely connected to the beams. & & & & & 6.1 The finite-element models of various truss nodes were assembled in plate elements. The design forces for the nodes were extracted from the global analysis model under different load combinations. For each node, five BS 5400 load combinations were investigated. Design of principal structural steel members The design of the main structural steel members forming the truss was a direct extract of stresses from the structural analysis models for the bottom chord, diagonal and crossbeam members. For the upper chord the section steel box acts compositely with the deck slab. For the composite top chords the design was subdivided into three parts: a longitudinal stress check of the concrete roadway slab, a longitudinal stress check of the steel sections and a shear connection design. The top chord, bottom chord and diagonal members of the main truss are in the form of a hollow steel box. Plate thicknesses of the boxes vary depending on the location of the member. For thin plate thicknesses, longitudinal stiffeners were used to increase the efficiency of the section in resisting compressive stresses. Box sections were also adopted for other members, including the lower cross beams and upper cross beams. Table 3 presents the member sizes of the different superstructure member types. 6.2 Design of structural nodes The detailed designs of truss nodes were carried out for five types of nodes at the intersection points of truss members Stiffness Transverse Longitudinal Vertical Spring constant (scour depth at 220 m PWD): kN/mm Spring constant (scour depth at 262 m PWD): kN/mm 52 19 33 12 1700 Table 2. Spring stiffness for analytical model of superstructure The steel plates of the node were divided according to the configuration of the diaphragms. Each plate was designed for adequacy in strength and stability. The maximum stresses of each element in the plate were chosen for design against buckling. 6.3 Concrete roadway slab design The concrete roadway slab is designed as a reinforced concrete member in the transverse direction, and as a prestressed concrete member in the longitudinal direction. The longitudinal prestress will be carried out before the composite connection is established. The railway concrete slab is of reinforced concrete construction with no prestress. The design was based on the use of precast concrete slabs, typically of panel dimensions 2 m (along the bridge longitudinal direction) by 20 m (transverse to the bridge), made composite with the steel superstructure through shear connectors. The envisaged construction sequence assumed that the self-weights of the steel structure and concrete roadway slab are activated, before the longitudinal prestress is applied and the steel–concrete composite action is achieved. Prestressing before composite action is established will ensure no additional stresses will be generated in the steel truss members. Also, the design forces acting on the roadway slabs derived only from superimposed dead load and live load. 7. Conclusions The Padma Multipurpose Bridge will emerge as an inspiring landmark in Bangladesh. It will provide a vital link in the 11 Bridge Engineering Design of the Padma road and rail bridge, Bangladesh Sham Composite railway deck Shear connection at composite railway deck-cross beam connection points, no hogging moment Cross beam Cross beam Figure 13. Modelling of railway composite deck and its connection to cross girders between truss lower chords Member type Box width (horizontal dimension): mm Box depth (vertical dimension): mm Plate thickness: mm 1600 1600 1550 2800 1200 1500 1600 1100 1600 1475 25–70 30–70 20–70 25–50 25–70 Top chord Bottom chord Diagonal Lower cross beam Upper cross beam Table 3. Superstructure member sizes transport infrastructure in that geographical region, and will also mark a significant milestone in modern bridge engineering. The project provides a compelling example of civil engineering ingenuity addressing recalcitrant problems in a region of extreme environmental and natural hazards. The risks of deep scour aggravated by severe seismic activity were tackled by state-ofthe-art bridge technology and fundamental engineering principles. Bridge design was integrated with construction to ensure the bridge will not only serve the Bangladesh nation of today, but also its future generations. The design drew on the art and science of computer modelling of structures, in that a hypothesis of the structural behaviour was investigated by a model, or partmodel, especially developed with a view to verifying the hypothesis. The work has accumulated a significant body of knowledge in seismic-resilient and scour-tolerant design, and it has advanced understanding of bridge behaviour in conditions of severe earthquake and deep riverbed scour. Acknowledgements The author wishes to thank the Bangladesh Bridge Authority for permission to publish this paper. The author would also like to thank staff members of the Aecom Long Span and Specialty Bridge Group, for all the work that brought the design of the Padma Bridge into fruition. REFERENCES Neill CR, Oberhagemann K, McLean D and Ferdous QM (2010) River training works for Padma Multipurpose Bridge, Bangladesh. Proceedings of IABSE–JSCE Conference on 12 Advances in Bridge Engineering (Amin AFMS, Okui Y and Bhuiyan AR (eds)), Dhaka, Bangladesh, pp. 441–448. Sham SHR, Yu GX and De Silva S (2010) Foundation design methodology for Padma main bridge. Proceedings of IABSE–JSCE Conference on Advances in Bridge Engineering (Amin AFMS, Okui Y and Bhuiyan AR (eds)), Dhaka, Bangladesh, pp. 417–426. Sham SHR (2012) Padma progress. Bridge Design and Engineering Issue 69(Fourth Quarter): 34–36. Sham SHR (2013) In pursuit of new frontiers in bridge engineering. In Reflections … of the Greatest Bridge Engineers and Architects of the 20th and 21st Centuries (Leech T (ed.)). Engineers Society of Western Pennsylvania, Pittsburgh, PA, USA, pp. 69–76. WHAT DO YOU THINK? To discuss this paper, please email up to 500 words to the editor at journals@ice.org.uk. Your contribution will be forwarded to the author(s) for a reply and, if considered appropriate by the editorial panel, will be published as discussion in a future issue of the journal. Proceedings journals rely entirely on contributions sent in by civil engineering professionals, academics and students. Papers should be 2000–5000 words long (briefing papers should be 1000–2000 words long), with adequate illustrations and references. You can submit your paper online via www.icevirtuallibrary.com/content/journals, where you will also find detailed author guidelines.