2.1. Overview of the Cold-Formed Steel Application in Composite Steel–Concrete Structural Systems
Generally, the interaction between steel and concrete has been widely used in structural engineering due to multiple benefits that result from combining desirable mechanical properties of each material. This explains why concrete is reinforced with steel rebars, or composite steel–concrete structural systems are used when higher resistance values or larger spanning capabilities are required. The advantages of structural steel are high tensile strength and ductility, while concrete ones are high stiffness and high compressive strength [
3]. Therefore, using composite beams as structural flooring systems has a couple of benefits over the non-composite ones [
4]:
Material savings between 30% and 50% of structural steel can be achieved.
Increased stiffness can reduce beam height for the same span, which can lead to benefits either as lower storey heights, decrease in cladding costs, more space for mechanical services, and increased usable space for the same building height.
Today, the most common version of composite beam comprises a hot-rolled steel beam and a floor slab, either concrete or composite steel–concrete, that interact through the application of shear connectors. In this form, the floor slab enhances the resistance of the steel beam by increasing its local and global stability. This observation can be further implemented to optimise the structural steel material so that cold-formed steel sections could be utilised instead of hot-rolled sections.
Application of cold-formed profiled steel sheeting has, for some time now, extensively been used in the construction of structural floor systems, i.e., the composite steel–concrete slabs [
2]. Similarly, cold-formed steel profiles have also been investigated as soffits within the composite steel–concrete beams and columns [
5,
6,
7]. However, such structural systems have not been applied to a greater extent. Nevertheless, the profiled steel sheeting used in the proposed solutions becomes an integral part of a structural system where it performs many different roles in the construction and the exploitation phases, such as [
4]:
Provides a working platform and protects the workers below;
Supports the loads during construction and may eliminate the need for propping;
Acts as permanent formwork for the concrete slab;
If either mechanical or frictional interlock is being realised, the sheet can be considered to contribute to the required area of the primary tension reinforcement calculated for the slab;
When through-deck welded stud shear connectors are used, the composite slab may be considered to restrain the steel beams.
The stated facts show enormous potential for further development of composite structural solutions using cold-formed steel elements and innovative shear connections. This potential is the result of the engineering point-of-view and the socioeconomic and environmental point-of-view to develop a sustainable and resilient ecosystem related to the built environment.
An extensive overview of the current development in composite steel–concrete beams and flooring systems can be found in [
2]. Cold-formed steel has seen extensive research and application in composite slabs. However, it has not been extensively used in composite beam solutions where the downstand beam is made of cold-formed built-up steel sections and works together with the concrete flange, although such an idea has been around for a couple of decades [
8]. Some advantages of composite beams using cold-formed built-up steel sections and concrete slabs are flexibility in architectural and beam cross-section design, the possibility of shallow slab depths, easy adaptation to irregular geometry, enabling reduction of self-weight, etc. However, the behaviour of such structural solutions has not been, up until a recent couple of years, investigated to a greater extent.
Further optimisation of composite systems can also be achieved by reducing self-weight with compact concrete with lightweight aggregates [
9]. The authors of the paper [
9] conducted a parametric study and summarised the results of the numerical analyses on the composite steel and concrete beams with standard and lightweight concrete slabs. In the cases of reducing composite beam self-weight, systems tend to vibrate more easily under human activities, and vibrational aspects of such systems are very important [
10].
Hanaour [
8] was among the first to examine the behaviour of composite beams with a cold-formed section using various shear connector types. Tests were conducted on composite beams using a steel cross-section consisting of two cold-formed channel sections. These channel sections were connected back-to-back by self-drilling screws with welded or screwed channel shear connectors over which the concrete slab is cast. Additionally, tests were conducted on composite beam with two cold-formed Z sections connected on the bottom with a plate and on top with a concrete plank generating a box section using 10 mm post-installed bolts as shear connectors. The obtained results show high ductility and capacity of beams when proper design and execution is applied.
Lakkavalli and Liu [
11] conducted tests on twelve large-scale composite slab joists consisting of cold-formed steel C-sections and concrete to investigate behaviour and strength and to assess the effectiveness of the shear transfer mechanism. C-sections were partially embedded into the concrete slab for all specimens, so that top flanges were set into the concrete by the distance, which corresponded to half of the slab thickness. In addition to variation of the shear connection type and its spacing, the C-section thickness was also varied within the specimens. Results showed that the shear transfer mechanism using bent-up tabs performed the best when ultimate capacity is compared, followed by drilled holes and self-drilling screws. The results also showed that reduction of shear transfer spacing did not result in capacity increase which may be a consequence of overlapping of stress fields. Finally, the obtained experimental capacities of beam specimens were approximately 19% higher than the theoretically calculated capacities based on push-out test results.
Hsu et al. [
12] proposed a new composite beam system consisting of a reinforced concrete slab on a corrugated metal deck, back-to-back cold-formed steel joists, and a continuous cold-formed furring shear connector. A shear connector is screwed to the joist top flange through the metal deck. Conducted tests on composite beams showed that the composite sections could reach ultimate strength without local shear or buckling failure when the proposed furring shear connector is used. In addition, the paper proposed analysis and design methods that can predict load-deflection behaviour and flexural strength of the beams and shear strength of the fasteners.
In [
13,
14], authors studied the structural behaviour of composite beams that integrate cold-formed steel with Ferro-cement slabs through a bolted-type shear connection. Parametric studies on several wire mesh variations in a Ferro-cement slab, the thickness of the steel section, and bolt diameter were carried out. Results show that failure occurs due to concrete crushing for thicker steel sections, while thinner steel sections fail due to sudden buckling. The shear connectors proved to have adequate strength to provide full shear connection and to transfer longitudinal shear force without failure. An increase of wire mesh layers resulted in greater strength capacity and improved crack formation. Finally, according to the analysis results, the ultimate strength capacity of these composite beams can be calculated by constitutive laws agreed by Eurocode 4.
Khadavi and Tahir [
15] conducted research related to the bending resistance of encased composite beams composed of closed steel profiles filled with concrete. These closed profiles consist of two cold-formed C-sections oriented toe to toe and kept in place by a profiled sheeting installed on the beam top to increase stability and bearing performance. Shear connection is obtained using bent reinforcement bars. The proposed solution results show that using closed shapes of steel profiles can improve the bending strength as the confinement contributed by the concrete decreases the local buckling of the steel section. At the same time, the use of reinforcement as shear connectors further increases the bending and shear resistance and additionally stiffens the proposed beam. Similar composite cross-sections were researched by Salih et al. [
16]. The results showed that filled beams have a higher bearing capacity than typical slender sections by reaching the yield stress. The proposed methods used in research proved to be applicable for calculating the ultimate limit state of the composite system according to the method from EC4. The continuous shear connection helped to move the neutral axis upward in the composite cross-section, which ensures that the steel top flange does not buckle under compression. Finally, research has shown that a partially encased steel beam increases flexural capacity.
Leal and Batista [
17,
18] present the investigation on the behaviour of structural composite floor system composed of cold-formed steel trusses and partially pre-cast concrete slab, which are interconnected using innovative shear connector solutions. In one case, the thin-walled channel connector is comprised of a lipped channel, single angle and reinforcing plate, which are altogether connected using self-drilling screws to the top chord, while in the other case, the thin-walled Perfobond rib connectors are composed of cold-formed plates, which are crossed by reinforcing steel bars and connected over a reinforcing plate to the top chord using self-drilling screws. The results of both specimen types showed that shear connectors were able to provide full interaction and adequate shear capacity up to a failure point. Analytical models based on the assumption of full yielding of the composite cross-section for the calculation of bending resistance is in good agreement with the experimental results.
Another interesting and innovative solution is presented in the paper [
19]. The proposed lightweight cold-formed steel floor system is based on cold-formed steel trusses with a composite mortar. The trusses were formed with a U-shaped cross-section bottom chord, C-shaped cross-section web members and hat-shaped cross-section top chord. The paper presents the results of the bending tests on full-scale composite floor prototypes and the development of FE models and proposals of a theoretical method for determining the deflection and bearing capacity. The results show that the theoretical solutions were in good agreement with both the experimental and FE model results.
In order to improve weak interfaces that occur between the slab and the lower part (beam) and to achieve better composite behaviour, Liu et al. [
20] proposed a new composite steel–concrete system composed of cold-formed U-profiles and rib truss, which is referred to as RCUCB. The system is characterised by two top varus flanges and rebar trusses in the opening sections. The study results showed that three possible failure modes could occur in such systems. In addition, tensile longitudinal reinforcement plays a significant role in controlling cracks and deformations of the encased concrete, and a proper shear stud placement can significantly improve ductility. Finally, the EC4 procedure can be used to calculate bending capacity with the additional application of three modification factors.
In addition to enhancements of the individual parts comprising composite steel–concrete structural systems by applying more adequate cross-section types or materials with more favourable mechanical properties, shear connection providing interaction of individual parts is another key parameter highly influencing the behaviour of composite systems. Its behaviour is characterised by its strength which depends on the realised degree of the shear connection. The degree of shear connection is defined as the ratio between the shear connection capacity provided by the interconnecting element used and the capacity of the weakest component of the composite cross-section (either steel beam or concrete slab) [
3]. Although welded headed studs are still the most widely used shear connectors, there are numerous other solutions available to realise adequate shear connection in composite beams. Therefore, the research on shear connection solutions is still very popular to improve existing solutions or develop new ones. Among these solutions, the most interesting ones allow composite systems to be easily disassembled in case of structure demounting during deconstruction or when modification or repair is needed. Another reason to research demountable shear connection solutions is the previously mentioned goal to obtain sustainable structural systems. In other words, the ability to disassemble and reuse structural systems or their parts at the end of the building service life is of great importance to our environment.
Recently, Jakovljević et al. [
21] provided a detailed chronological overview of the available demountable shear connection solutions that have been considered for use in composite structural systems. For better understanding, the shear connectors were classified according to their geometry and load-bearing mechanism, and the main results obtained from the push-out and large-scale beam bending test were presented and compared. In [
22], a series of push-out tests on profiled steel sheeting and beams with demountable shear connectors were carried out. Comparison to the beam test results with welded shear connectors showed that the beam with demountable shear connectors has similar stiffness and superior ductility. A few examples of demountable headed shear stud connectors are shown in
Figure 1. Solutions using friction-grip bolts are the ones that have been greatly investigated, but mostly as post-installed solutions in bridge rehabilitation. It is worth noting that complete code regulations are still lacking, and further research is needed. Bolted solutions using shear connectors with or without nuts embedded in the concrete slab have also been investigated. Due to tolerance of the hole for the bolts, the results exhibit lower initial stiffness, which can cause serviceability issues due to more considerable composite beam deflections.
To some extent, preloading can also be applied to avoid this, but only to the solutions that use embedded nuts. Such a solution leads to ultimate resistances close to the resistance of welded studs, but with failure at a very low slip rate due to brittle failure of the bolts [
23]. In addition to many other solutions for shear connectors described in [
21], there are still some significant issues regarding the resistance and ductility of the proposed solutions that need to be addressed. Firstly, the resistance of bolted shear connectors cannot be calculated according to Eurocode 3. The additional resistance provided through the nut to flange friction and catenary effects in bolts themselves has been observed [
23]. Secondly, propositions of Eurocode 4 [
24] for the determination of shear connector ductility cannot be implemented for bolted shear connectors as they exhibit large slips before reaching ultimate strength and therefore need to be modified [
25].
On the other hand, research of the shear connection solutions between thin cold-formed steel profiles and concrete slabs has not been extensive. First, shear connection experiments were conducted by Hanaor [
8], where two types of connectors, embedded and dry, were tested. The embedded connectors used channel sections that were either connected to the beam section using 6 mm diameter screws or were welded to it. The obtained capacities were well above the values computed for fasteners in the cold-formed section using standards, pointing out that appropriate code provisions can be used in the absence of test data. Lakkavalli and You [
11] conducted research on four shear transfer mechanisms to join cold-formed C-sections and concrete. Namely, these included surface bonds, prefabricated bent-up tabs, pre-drilled holes, and self-drilling screws. As expected, the surface bond specimens showed the lowest strength and stiffness, and the ones using bent-up tabs performed best at both strength and serviceability limit states. Of the three specimens with shear transfer enhancements, the ones using self-drilling screws resulted in the lowest strength increase. Later, Irwan et al. [
26] conducted experiments on shear connections using bent-up triangular tabs. Wehbe et al. [
27] examined the behaviour of composite beams of concrete and cold-formed steel using stand-off screws 8 mm in diameter as shear connectors. The results showed that such a solution is feasible for providing composite action, where composite beams with such connections can be designed for ductile flexural failure. Alhajri et al. [
13] also used bolts of 12 mm diameter to ensure composite action between the lipped C-channels to Ferro cement slab. Such connection proved to have adequate strength to transfer forces from slab to slab beam section. Recently, Bamaga et al. [
28] proposed three different demountable shear connection solutions between the cold-formed steel beam and concrete slab. Push-out tests of all three solutions showed extremely ductile behaviour with adequate strength capacity.
In addition to the above presented discrete shear connection solutions, innovative and promising shear connection solutions based on composite dowel rib connectors [
29], as shown in
Figure 2, have also been developed. Such type of shear connector in cold-formed composite beams is titled a continuous furring channel and has been presented in papers [
30,
31]. The shear connection solution comprised a continuous cold-formed furring shear connector connected through the metal deck on top of the steel beam using self-drilling fasteners, providing horizontal and vertical interlock between steel–concrete parts of the cross-section.
From all the above results, it is clear that cold-formed steel sections and concrete slabs can act compositely. However, the data on the behaviour and performance of cold-formed sections in composite construction are still lacking. In addition, as one of the main reasons for using composite sections and applying CFS built-up profiles are environmental and sustainability concerns, the preference in selecting the shear connection type should be given to the demountable solutions. The environmental impacts of the demountable and conventional shear connections can be quantified using the Lifecycle Assessment (LCA) method. The evaluation of environmental benefits obtained using the LCA method comparing demountable systems, promoting disassembly and reuse, to the conventional monolithic ones, destined for demolition and recycling, is presented [
32]. As expected, the results are quite encouraging for the demountable shear connector solutions. In papers [
33,
34], research on such demountable headed shear stud connectors together with the use of ultra-high performance concrete was carried out. The proposed connectors show excellent ductility in comparison to traditional solutions. The push-out tests were conducted for various types of fasteners, changing their shape, diameter and bolt class, and the obtained results showed that the average slip was close to the value required by the EN 1994-1-1 [
24]. However, when designing for demountability, it is necessary to keep in mind that one needs to limit the fasteners’ deformations during use and avoid the plastic response of the element to allow the reuse of parts of the structure. Some guidelines on this issue have been analysed for bolted joints with embedded nuts, considering the optimal ratio of beam span and depth of the demountable steel–concrete beam [
35].
Developing a new type of shear connection requires experimental testing of the proposed connection type. Examples of the push-out tests on headed studs and composite dowel rib connectors are shown in
Figure 3a,b, respectively.
The presented overview of the application of cold-formed sections in steel–concrete floor systems leads to some advantages such as [
8]:
The possibility of reducing overall slab depth by using lighter sections at closer spacing.
Easy variation of the cross-section for irregular layouts.
Freedom in the design of cross-sections, i.e., cold-formed sections are made from flat sheets and can be designed and manufactured to order. It is relatively easy to produce built-up members from sections and flat strips screwed or spot welded together.
Flexibility in assembling the sections and attached components in the workshop and/or on-site.
The technology for manufacturing cold-formed sections is available and straightforward in regions and countries where a large selection of hot-rolled profiles is not available on short order, particularly for small or medium size projects.
As in the case of the shear connection for the system’s overall behaviour, the connecting technique related to built-up cold-formed steel elements also has a vital aspect. A comprehensive experimental investigation on laser-welded connections based on lap-shear and tension tests is presented in [
36]. In paper [
37], a comparative resistance study was conducted of self-pierce riveting, resistance spot welding, and spot friction joining, identifying the resistance of spot welding as the most favourable option. Guenfoud et al. [
38] tested welded specimens fabricated through one, two or four layers of thin steel sheets using the shear resistance and tension resistance of multi-layer arc spot welds.
2.2. Background to the LWT-FLOOR Structural System
Corrugated web beams represent a relatively new structural system that has emerged in the past two decades and was developed for various applications, i.e., the mainframes of single-storey steel buildings, secondary beams of multi-storey buildings, etc. Due to the thin webs, from 1.5 mm to 3 mm, corrugated web beams allow significant weight reduction compared to hot-rolled profiles or welded I-sections. The main benefits of this type of beam are that the corrugated webs increase the beam’s stability against local and lateral-torsional buckling and against web crippling, which may result in a more effective design from both technical and economic points of view.
The corrugated web does not participate in the longitudinal transfer of bending stresses. Therefore, in static terms, the corrugated web beam behaves like a lattice girder, in which the bending moments and applied forces are transferred only through the flanges. In contrast, the shear forces are transferred only through the diagonals and verticals of the lattice girder. Consequently, the girder’s flanges provide the flexural strength of the girder with no contribution from the corrugated web, which provides the girder’s shear capacity. Furthermore, the use of thinner webs without stiffeners results in lower material cost, with an estimated cost savings of 10–30% compared to conventionally fabricated sections and more than 30% compared to standard hot-rolled beams [
39,
40]. For instance, the buckling resistance of 1 mm thick sinusoidal corrugated sheet web corresponds to buckling resistance of a plain flat web of 12 mm thickness or even more.
In developed solutions from the literature, already available on the construction market, the flanges are flat plates welded to the sinusoidal web sheet, requiring a specific welding technology [
41,
42]. Almost all the research on this kind of girder was devoted to studying bending and shear capacity [
43,
44,
45,
46,
47]. The dimensioning of corrugated web beams is ruled by Annex D of the EN 1993-1-5 [
48,
49,
50].
The main benefits of build-up corrugated web elements using fixed supports have already been summarised and demonstrated through research investigation on such types of beams connected with screws [
40,
51,
52], spot welding (SW) and Cold Metal Transfer (CMT) techniques [
53,
54,
55]. CMT, mainly developed in the last years, is a new connection technology for building steel structures. Since the technical solution of such types of beams enables standardisation of design detailing and fabrication, both SW and CMT welding techniques are appropriate for application in automated fabrication. Therefore, besides the structural advantages of such a system, the potential for automated series fabrication of the new technological solutions is another great advantage.
In research [
53,
54,
55], for the purpose of full-scale tests, two beam specimens were built-up applying the SW connection technique, i.e., CWB SW-1 and CWB SW-2. The components of the built-up beam specimens, which were 5157 mm long and 600 mm high, are shown in
Figure 4.
Compared to the solution with built-up beams using self-drilling screws [
40,
51,
52], it can be seen that the beams connected using the spot weld technique possess higher stiffness and higher load-bearing capacity. The intermittent spot welding technique avoids the difficulties of traditional arc welding and specific technologies, thereby significantly increasing the fabrication speed. The numerical parametric research on the calibration and validation of the numerical models with additional experimental tests considering the influence of web openings have resulted in several papers [
56,
57,
58]. These studies confirmed the excellent behaviour of SW built-up corrugated web beams.
2.3. LWT-FLOOR Project
Based on built-up cold corrugated web cold-formed steel beams and other previously mentioned facts, it is possible to develop the new composite floor system. LWT-FLOOR system represents such innovation that maximises the values of each building component and used materials. The system is being investigated within the research project LWT-FLOOR at the University of Zagreb, Faculty of Civil Engineering, Croatia.
The LWT-FLOOR project integrates state-of-the-art knowledge in new, fast and productive spot welding technology and innovative cold-formed steel–concrete composite solutions proposing a new construction method as a combination of built-up cold-formed steel members and cast-in-place concrete slab. This potentially cost-effective and sustainable floor system could offer vital benefits in a high degree of prefabrication, reusability, and suitability for larger spans.
In order to investigate and validate components and the proposed system, extensive experimental, numerical and theoretical research is planned. Within the research, a particular focus is given to spot welding connections and innovative types of shear connections with the possibility for demountability and the potential for reuse or recycling at the end of the product design life, which are additionally evaluated through the application of lifecycle analyses. Calibrated and validated numerical models based on experimental tests of the system and its components allow evaluation of the system suitability for larger spans. All the accumulated knowledge, including the support of probabilistic methods, will be the basis for further structural detailing and the possibility of mass production. Analyses and performance evaluation of the proposed floor system solution will be crucial for establishing the first analytical proposal for design recommendations of this new system within the European standards.
The proposed solution is partially made of steel, which is highly recyclable, and cold-formed products use a high percentage of recyclable steel [
59]. Because of the design for demountability in one of the proposed shear connection types, the system has the potential for future reuse and recycling of products and components. Spot welding technology proved its economic effectiveness, compared to laser welding and conventional techniques, and sustainable performance in terms of consumption of welding materials, energy, workers’ health and safety issues, and elimination of inert shielding gases and particle emissions in the environment. The system will be durable under climate change effects and in an aggressive environment due to high protection from corrosion and the fact that all components are galvanised. It is easy to manipulate, transport and erect components of the system because of the reduced weight and safe connection technology. This can contribute to the safety of workers in the shops and building sites, cleaner activity on working sites, reduced energy consumption and lower emissions of greenhouse gasses. In the case of inner-city projects, construction speed and lack of on-site storage require a high level of prefabrication, which the proposed system can provide [
60]. The proposed structural system falls into the category of adaptive building technology, following environmental and climate change requirements.
For the final applicability of the system in buildings, more knowledge about the behaviour in fire situations is required as well. Additionally, the system can also be applied in bridges; however, a detailed analysis of the fatigue behaviour is necessary.
Mentioned benefits of the system are investigated through experimental and numerical research with the support of probabilistic methods and lifecycle analyses by means of a holistic approach combining Lifecycle Assessment (LCA), Lifecycle Costs (LCC) and Lifecycle Performance (LCP) analyses.
The technical (mandatory O1 and O6) and scientific (O2 to O5) objectives with expected results (ER1 to ER6) of the LWT-FLOOR project are presented in
Figure 5.
Experimental research is divided into five phases. Experimental research of LWT-FLOOR system materials and spot welds between different cold-formed sheet thicknesses are performed in the first two phases. Because of the great importance of the shear connection between the steel and concrete part of the system, the third phase includes experimental tests on the shear connection.
The results from the push-out test are implemented in the numerical models for their calibration, and the obtained models are used as the input before the experimental bending test of large-scale specimens of the overall system are conducted.
In
Figure 6, two proposed solutions for shear connections are presented.
The solution in
Figure 6a is based on extending the corrugated web of steel beam to form a shear connection. The solution in
Figure 6b uses demountable shear connectors, which should ensure the demountability of the floor system at the end of its service life.
Within phases 4 and 5 of the experimental research full-scale LWT-FLOOR system is tested. The span of tested elements are approximately 6 m, corresponding to typical spans of floor systems in multi-storey buildings. In the first phase of experimental research, to understand the behaviour of corrugated built-up cold-formed girders without and with web openings, tests of the girders without concrete slab are conducted,
Figure 7.
Based on obtained results for optimal shear connection and steel girder solution, the experimental tests of the composite LWT-FLOOR system are performed.
Figure 8 shows the proposed test set-up for the LWT-FLOOR beam.
Based on calibrated numerical models, the numerical part of the research allows parametric research of the proposed solution. In the first phase, the numerical models of shear connection in combination with probabilistic analyses provide a selection of the optimal solution of the shear connection. The second phase of numerical research is numerical modelling of built-up corrugated web beams without and with web openings. Calibrated numerical models are the base for parametric studies to find the optimal solution for larger spans and different configurations of web openings.
Finally, calibration of a numerical model for composite LWT-FLOOR system and numerical parametric studies in combination with probabilistic analyses ensure the validation of the suitability of such system for larger spans and determine optimal dimensions of particular system components by taking into account different configurations of the shear connection and boundary conditions.
Based on probabilistic analyses and lifecycle analyses, the analytical proposal is be evaluated for analysed types of shear connections, steel girders with and without web openings, and composite LWT-FLOOR systems without and with web openings.
2.4. Analytical Model
Since cold-formed steel cross-sections are usually class 3 and 4, their plastic resistance in bending cannot be achieved. However, plastic resistance can be achieved in a composite beam with a full shear connection, but the cross-section’s neutral axis position must be considered.
The neutral axis can be located in the concrete flange, at the interface between the concrete flange and the steel beam, or within the steel beam. Within steel beam means either in the flange or in the web of the steel beam.
Thus, taking into account the position of the neutral axis in the cross-section of the composite beam, and when the neutral axis is located in the concrete flange or at the interface between the concrete flange and the steel beam, the steel cross-section will be completely or mainly in tension. Therefore, the bending resistance of the composite cross-sections, which consists of either class 3 or class 4 steel cross-section, can be calculated in the same way as the resistance for the class 1 or class 2 cross-section.
Investigated cross-section geometry is presented in
Figure 9. The thickness of the concrete flange is 90 mm, and its effective width is 1000 mm with the concrete class C25/30. Built-up cold-formed steel beam consisted of four C120 sections with a thickness of 2.5 mm, flange width of 47 mm and height of 120 mm, and corrugated web and shear plates of 1.2 mm thickness with an overall height of 400 mm. All steel parts were considered to be made of steel grade S350. The span of the beam is 6 m. For the presented geometry and in the case of a full shear connection, the plastic neutral axis is located in a concrete flange.
The plastic bending resistance M
pl,Rd in the case of full shear connection is calculated using Equations (1) and (2) or Equations (3) and (4), which depends on what part of the cross-section is considered, i.e., the concrete or the steel part, see
Figure 9.
where: N
c,f is the design value of the normal compressive force in the concrete flange with full shear connection, a is the distance according to
Figure 9, b
eff is the total effective width of concrete flange, x
pl is the distance of the neutral axis from the upper edge of the concrete slab, f
cd is the design value of concrete compressive strength, h is the depth of the corrugated web structural steel section, h
c is the thickness of the concrete flange, A
a is the cross-sectional area of the cold-formed structural steel C-section, f
yd is the design value of the yield strength of structural steel, b
1 and b
2 are the centroids distances according to
Figure 9, ha is the depth of the cold-formed structural steel C-section.
In the case of partial shear connection, the bending resistance M
Rd in the case of plastic structural steel cross-section can be calculated using Equation (5) according to EN 1994-1-1 [
24].
where: M
pl,a,Rd is the plastic bending resistance of the structural steel section, and ƞ is the degree of shear connection calculated according to Equation (6).
where: n is the number of shear connector pairs and P
Rd,min is the minimum design value of the shear resistance of a single connector. Bolts with 12 mm diameter and 8.8 steel grade were considered in this paper for calculation of P
Rd,min.
When using cold-formed corrugated web structural steel cross-sections, the following modified expression given in Equation (7) is proposed for the calculation of the composite cross-section bending resistance:
where: M
el,a,Rd is the elastic bending resistance of the cold-formed corrugated web structural steel cross-section.
According to Equation (7), the bending resistance of the analysed system will be equal to the elastic bending resistance of the cold-formed corrugated web structural steel cross-section Mel,a,Rd when the degree of shear connection ƞ = 0. In the case of full shear connection, ƞ = 1, the plastic bending resistance of composite cross-section, Mpl,Rd can be achieved.
Calculated bending resistance for full shear connection and solutions with the shear connectors distance of 300 mm (ƞ = 1) and 600 mm (ƞ = 0.55) were compared with the results of FE simulations in
Section 3.