COMPOSITE STRUCTURAL MEMBER FOR A BUILDING STRUCTURE
20200123773 ยท 2020-04-23
Inventors
Cpc classification
E04B7/024
FIXED CONSTRUCTIONS
E04C3/20
FIXED CONSTRUCTIONS
E04C2003/0434
FIXED CONSTRUCTIONS
E04B2001/2472
FIXED CONSTRUCTIONS
E04C3/14
FIXED CONSTRUCTIONS
E04C3/06
FIXED CONSTRUCTIONS
International classification
E04C3/06
FIXED CONSTRUCTIONS
E04C3/14
FIXED CONSTRUCTIONS
E04C3/20
FIXED CONSTRUCTIONS
Abstract
A composite structural member for a building structure comprises a first elongate portion having a first end region and a second end region and a second elongate portion having a first end region and a second end region. The second end region of the first elongate portion is connected to the first end region of the second elongate portion so that the composite structural member provided thereby is substantially longer than either of the first and second elongate portions. The first elongate portion may comprise a first member suited for resisting high magnitude forces and the second elongate portion may be a second member, less well suited for resisting high forces but having lower cost per unit length. The composite structural member may be a rafter, especially a rafter of a portal frame.
Claims
1. A method for use in designing a composite rafter for a building structure, wherein the composite rafter is required to have a first member with a first end region and a second end region, a second member with a first end region and a second end region, the first end region of the first member connected or connectable to a support portion of the building, the second end region of the first member connected or connectable to the first end region of the second member, and the design of the rafter is required to be such that, in use, the second end region of the second member is located higher than the first end region of the first member, the method comprising: assessing bending moments which the rafter is required to be capable of resisting at various points or regions along the length of the rafter; determining at least one point or region along the length of the rafter which is to be provided where the bending moment which the rafter is required to resist is maximum; identifying a first type of structural component with a first bending moment bearing capacity which is capable of resisting said maximum bending moment, and selecting a structural component of this first type to use as the first member of the rafter; determining at least one point or region along the length of the rafter which is to be provided where the bending moment which the rafter is required to resist is substantially smaller than said maximum bending moment: identifying a second type of structural component which is different from the first type of structural component and wherein the second type of structural component has a second bending moment bearing capacity which is capable of resisting said smaller bending moment but not necessarily capable of resisting said maximum bending moment, and selecting a structural component of this second type to use as the second member of the rafter; and determining a position, along the length of the rafter which is to be provided, at which to provide a join or transition between the first member and the second member, wherein the position of the join or transition is such that bending moments in portions of the rafter formed by the second member do not exceed the second bending moment bearing capacity.
2. The method as claimed in claim 1, wherein the position of the join or transition is such that bending moments in portions of the rafter formed by the second member do not exceed 90% of the second bending moment bearing capacity.
3. The method as claimed in claim 1, wherein the position of the join or transition is such that bending moments in portions of the rafter formed by the second member do not exceed 80% of the second bending moment bearing capacity.
4. The method as claimed in claim 1, wherein the position of the join or transition is such that bending moments in portions of the rafter formed by the second member do not exceed 70% of the second bending moment bearing capacity.
5. The method as claimed in claim 1, wherein the position of the join or transition is a position at which the length of the first member is no more than 150% greater than the minimum length that the first member can have, with the second type of structural component used as the second member of the rafter, without the bending moment in portions of the rafter formed by the second member exceeding the second bending moment bearing capacity.
6. The method as claimed in claim 1, wherein the position of the join or transition is a position at which the length of the first member is no more than 100% greater than the minimum length that the first member can have, with the second type of structural component used as the second member of the rafter, without the bending moment in portions of the rafter formed by the second member exceeding the second bending moment bearing capacity.
7. The method as claimed in claim 1, wherein the position of the join or transition is a position at which the length of the first member is no more than 60% greater than the minimum length that the first member can have, with the second type of structural component used as the second member of the rafter, without the bending moment in portions of the rafter formed by the second member exceeding the second bending moment bearing capacity.
8. The method as claimed in claim 1, wherein the position of the join or transition is a position at which the length of the first member is substantially the minimum length that the first member can have, with the second type of structural component used as the second member of the rafter, without the bending moment in portions of the rafter formed by the second member exceeding the second bending moment bearing capacity.
9. The method as claimed in claim 1, wherein the first type of structural component and the second type of structural component are different by virtue of being made of different types of material and/or by virtue of being of different constructions.
10. The method as claimed in claim 9, wherein the first type of structural component and the second type of structural component are made of different types or grades of steel.
11. The method as claimed in claim 9, wherein the first type of structural component comprises a hot rolled steel member.
12. The method as claimed in claim 9, wherein the second type of structural component comprises a cold formed steel member or a timber (wooden) member or a carbon fibre member.
13. The method as claimed in claim 11, wherein the first type of structural component comprises a beam fabricated from hot rolled steel with an I-shaped or H-shaped cross-section.
14. The method as claimed in claim 12, wherein the second type of structural component comprises a beam fabricated from two metal sections connected along their length.
15. The method as claimed in claim 14, wherein the second type of structural component comprises two cold formed steel C-channel section beams attached to one another back to back along their length.
16. The method as claimed in claim 1, wherein the second member is at least 1.5 times the length of the first member.
17. The method as claimed in claim 1, wherein the second member is at least twice the length of the first member.
18. The method as claimed in claim 1, wherein the second member is at least four times the length of the first member.
19. The method as claimed in claim 1, wherein the position of the join or transition is determined such that the cost of the rafter, and/or the cost of multiple of the rafters produced at or around the same time, is largely minimized based on per unit length costs and/or other costs associated with the types of structural components used as the first member and the second member and/or the number of rafters to be produced.
20. The method as claimed in claim 1, wherein the expected loading on the rafter when the rafter is in use is such that the magnitude of the bending moment in the rafter changes along the length of the rafter and the direction (sign) of the bending moment in the rafter changes at a point of contraflexure, and if the point of contraflexure is located between the first and second end regions of the second member, the distance from the first end of the second member to the point of contraflexure is such that, based on the expected loading on the rafter, the magnitude of the bending moment does not exceed the second bending moment bearing capacity anywhere in the second member.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0146] Embodiments will be described below, in detail, with reference to accompanying drawings. The primary purpose of this detailed description is to instruct persons having an interest in the subject matter of the invention how to carry the invention into practical effect. However, it is to be clearly understood that the specific nature of this detailed description does not supersede the generality of the preceding Summary. In the accompanying diagrammatic drawings:
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DETAILED DESCRIPTION OF EMBODIMENTS
[0164] With reference to
[0165] The description includes an embodiment of a portal frame, described below with particular reference to
[0166] With particular reference to
[0167] Columns 2, 3 are, in this embodiment formed from universal beams (sometimes called UBs, I-beams, H-beams, or RSJs). Such beams, per se, are well known in the building industry, and in general terms comprise a web between two parallel flanges or chords to provide a beam with a cross sectional shape reminiscent of an upper case letter I or H.
[0168] The portal frame 1 further comprises first and second rafters 4, 5, which extend inclined upwardly from the tops of the respective columns 2, 3 to an apex 6 where the first and second rafters 4, 5 are connected together.
[0169] In use, the columns 2, 3 may be securely attached to foundations 6, 7 so that they are securely attached to the ground 8.
[0170] The rafters 4, 5 may be mutually connected by one or more braces to supplement and support their connection at the apex, and in this embodiment are connected by a brace in the form of a ridge tie 9.
[0171] The rafters 4, 5 may be provided with roof mounting brackets or cleats, for example brackets 10A, 10B, 10C, 10D, 10E, 10F. The brackets facilitate attachment of purlins, for example purlins 11A, 11B, 11C, shown in
[0172] As foreshadowed above,
[0173] Notably, in the illustrated embodiment of a portal frame, designated generally by the reference numeral 1, each of the rafters 4, 5 comprises an embodiment of a composite structural member in accordance with the present disclosure. This will be described in more detail with reference to the rafter 4, although it will be appreciated that, at least in the illustrated embodiment of portal frame 1, the rafter 5 is substantially identical thereto.
[0174] As shown in
[0175] The first end region 31 of the first member 30 is attached to an upper part of the first column 2.
[0176] Connection of rafters to columns of a portal frame is known per se, and the attachment of the first end region 31 of the first member 30 to the upper part of the first column 2 may be of any suitable construction or means, including by means of a suitable haunch or other suitable known arrangement.
[0177] The second end region 32 of the first member 30 is attached to the first end region 61 of the second member 60 at a connection 90. An embodiment of the connection 90 will be described in more detail in due course.
[0178] The second end region 62 of the second member 60 terminates substantially at the apex 6 (where it is connected to the second rafter 5). Connection of rafters at the apex of a portal frame is known per se, and the connection of the rafters 4, 5 at the apex 6 may be of any suitable construction or means, including by means of an apex haunch or another known arrangement.
[0179] The first and second members 30, 60 are different types of member.
[0180] The first member 30, which forms the first elongate portion 4A of the rafter 4 (or, more generally, the first elongate portion of a composite structural member) is engineered or selected to be of a type which effectively and efficiently resist forces which this first elongate portion of the rafter 4 (or, more generally, first elongate portion of the composite structural member) is required to resist.
[0181] The second member 60, which forms the second elongate portion 4B of the rafter 4 (or, more generally, the second elongate portion of a composite structural member) is engineered or selected to be of a type which effectively and efficiently resist forces which this second portion of the rafter (or, more generally, this second portion of the composite structural member) is required to resist.
[0182] In this embodiment the second member 60 is of a type which is not capable of effectively resisting the forces which the first portion 4A of the rafter 4 is required to resist. However, the second member 60 is of a type which, when used in the second elongate portion 4B of the rafter 4, provides a benefit over using a member corresponding to the first member 60 to provide the second elongate portion 4B. For example, in this embodiment a benefit provided is that the second member 60 is of lower cost per unit length than the first member 30.
[0183] More specifically, in this embodiment the first member 30 is engineered or selected to be capable of resisting high-magnitude bending moments which are present at and in the region of the connection of a rafter of a portal frame to a column of a portal frame. These forces result from a number of factors including the weight of the rafters and roof, loads caused by wind pressure (including up-lift forces) and the transfer of these loads from the rafter to the column.
[0184] In contrast, the second member 60 will, in use, be subject to forces which are present at, and closer to, the apex region of a rafter of a portal frame. These forces differ from the forces at and close to the column. The bending moments which are present at and closer to the apex region of a rafter of a portal frame are typically of smaller magnitude than those in the region of the connection of the rafter to a column of a portal frame. In this embodiment, the second member 60 is engineered or selected to effectively and efficiently resist the bending moments which this second portion of the rafter is required to resist, but has a lower resistance to bending moments than does the first member 30, and is not capable of effectively resisting the bending moments which the first portion 4A of the rafter 4 is required to resist.
[0185] In an embodiment, as will be described in more detail in due course, the first member 30 comprises a hot-rolled mild steel universal beam, and the second member comprises a cold formed high tensile steel, back-to-back C-section (or lipped channel section) beam.
[0186] Thus, in this embodiment the first and second members 30, 60 are different types of member by virtue of: being of different construction; being made of different materials (specifically different grades or types of steel); and being made by different manufacturing methods (specifically hot-roll as against cold-forming, respectively) which contribute to imparting different characteristics to the respective members.
[0187] Selection of suitable types of member for the first and second members 30, 60 thus enables provision of an elongate composite structural member for a building structure, in which different portions along its length are well adapted to resist the forces which they are expected to be required to resist in use, but which are not unnecessarily capable of resisting other types of force. This allows provision of an efficiently and economically constructed composite structural member and, in the illustrated embodiment, an efficiently and economically constructed composite structural member in the form of a composite rafter 4.
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[0189] The first member 30 comprises a universal beam 33, having a web 34 which extends between a first flange 35, which is a lower flange in use, and a second flange 36, which is an upper flange in use. The web 34 is connected to the flanges along their lateral centre lines so that an equal amount of each flange extends laterally away from each of the web 34. The universal beam 33 is substantially uniform along most of its length, and may be provided with brackets/cleats, for example bracket 10G, for connecting purlins thereto.
[0190] In this embodiment the universal beam 33 is formed from grade 250 (G250) to grade 350 (G350) hot rolled mild steel. The combination of universal beam shape (of appropriate cross sectional dimensions) and this grade of mild steel has been found capable of providing the desired resistance to high-magnitude bending moments to which parts of a portal frame rafter which are close to the column are subject. In an embodiment the universal beam 33 has a mass per unit length of about 60 to 70 kg per metre.
[0191] At the first end region 31 of the first member 30, the universal beam 31 is provided with stiffener plates 37, 38, 39 to allow suitable connection to a column (for example column 2) of a portal frame. The stiffener elements may be in the form of steel plates dimensioned and positioned to allow a suitably strong connection to the column. The connection itself may be provided, for example by bolting and/or welding one or more of the stiffener elements 37, 38, 39 and/or the universal beam 31, and/or one or more further connecting elements (not shown) to the column. The illustrated stiffener element 39 is provided with a number of apertures 40 to receive bolts used for connection to the column.
[0192] The first end region 31 of the first member 30 is further provided with a steel section 41 which supports a fascia cleat 42 for mounting a fascia to the building.
[0193] Connection of steel rafters to steel columns to form joints (including, but not necessarily haunch joints) of portal frames is known per se, and it will be appreciated that any suitable arrangement could be substituted for the illustrated arrangement if desired. Welding, as well as bolting is preferably used in the joints as will be appreciated by the skilled addressee.
[0194] The second end 32 of the first member 30 is provided with an arrangement for assisting connection of the first member 30 to the second member 60. The arrangement comprises an axial extension 44 of the universal beam 33 which comprises a length of the first flange 35 part of the web 34. In the illustrated embodiment the web 34 part of the extension 44 comprises approximately 20% of the height of the web 34. The extension may be formed by removing a piece of the universal beam 33, rectangular in side view, which includes a length of the second (upper) flange 36 and a rectangular piece of the web which has approximately 75-80% of the web height. An extension flange 45 is attached to the upper edge of the web which forms the extension 44. The extension flange 45 may have the same width and thickness, and may be oriented parallel to, the first and second flanges 35, 36.
[0195] In use, when the first and second members are being connected (which will typically occur in situ) the extension flange 45 can act as a support for the first end 61 of the second member 60 during final positioning and securing of the second member 60 relative to the first member 30.
[0196] The second end 32 of the first member is further provided with a connection member 46, which in this embodiment is in the form of a metal plate having a number of apertures 47 suitable for receiving therethrough fasteners, such as bolts, for securing the second member 60 to the first member 30.
[0197] The connection member 46 is attached (for example by welding and/or bolting, and in this embodiment by welding) to a side of the web 34 so that it extends above the extension, parallel to the web 34, but slightly laterally offset therefrom. (Thus a central web of the second member 60 may abut a side of the connection member 46 and be substantially aligned with the web 34 of the first member 30, as will be described in more detail in due course.) A gap 48 is provided between the connection member 46 and the extension flange 45 to accommodate part of the second member 60.
[0198] The part of the connection member 46 which is welded to the web 34 (which is on the far side of the web 34 as illustrated in
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[0200] In this embodiment various parts are provided with apertures to facilitate securing of the first member 30 to the second member 60 using fasteners such as bolts. As mentioned above, the connection member 46 is provided with a number of apertures 47 (in this embodiment nine such apertures). The extension flange 45 is provided with a number of apertures 51 (in this embodiment six such apertures, three on each side of the web 34). The second flange 36 is provided with a number of apertures 52 to facilitate securing to the top plate 49 (in this embodiment six such apertures, three on each side of the web 34). The top plate 49 is provided with number of apertures 53 to facilitate securing to the second flange 36 (in this embodiment six such apertures, alignable with apertures 52) and a number of apertures 54 to facilitate securing to the second member 60 (in this embodiment six such apertures).
[0201] It will, of course be appreciated that the numbers of apertures can be selected as required. The spacing and distribution of the apertures may, of course, also be varied as required or desired. For example, in one variation the number of apertures 47 provided in the connection member 46 could be varied: for example twelve, rather than nine, such apertures could be provided, which could (upon assembly, such as along the lines described below) provide greater strength to this part of the connection 90. This may, depending on the circumstances, lead to a connection in which the additional strength provided by the top plate 49 is not required, so that the top plate could be omitted. The use of fasteners which extend through previously formed apertures is considered desirable, not least because this requires alignment of the previously formed apertures, which helps ensure that the various parts are positioned relative to each other as required. (In a variation to the described embodiment fasteners other than bolts, for example rivets, could be used.) However, means of securing the various parts other than fasteners which extend through previously formed apertures, such as welding, could be used if desired. It should be appreciated that variations or alternatives to the connection part of the embodiment of the first member 30 illustrated, and described above with reference to the drawings, may require corresponding and/or complementary alternative to or variations of other parts of the composite structure (e.g. rafter 4), for example the second member 60 described in detail below.
[0202] In
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[0204] The second member 60, as illustrated in
[0205] Further, the C-sections provide each flange 65, 66 with a perpendicularly depending lip or flange extension 67, 68, 69, 70 along each lateral edge thereof.
[0206] In this embodiment the C-sections, and thus the elongate beam 63, are formed from grade G450 to G550 cold rolled high tensile, 3 mm gauge steel. In an alternative form of description the C-sections, in this embodiment, may be C350-30 sections.
[0207] The gauge of the steel from which the C-sections are formed is significantly lighter than the gauge of the steel from which the universal beam 33 forming the first member 30 is fabricated.
[0208] The elongate beam 63 is therefore (in this embodiment) in the form of a compound beam section, comprising two lipped channels (C-sections) connected (welded) back-to-back. Such compound beam back-to-back lipped channel sections are known per se.
[0209] In the described embodiment the elongate beam 63 has a mass per unit length of about 14 to 17 kg per metre.
[0210] The shape and structure of the elongate beam 63 (of appropriate cross sectional dimensions) in combination with this grade of cold formed steel section has been found to provide suitable characteristics for forming the second member. In particular, it has been found to provide a useful combination of adequate resistance to bending moments and low cost, as will be described in more detail hereafter. It will be appreciated that the elongate beam 63 would not be suitable for forming the part of the rafter 4 which connects to the column 2, as it would not have adequate resistance to bending moments.
[0211] The first end region 61 of the second member 60 is provided with an arrangement for facilitating secure connection to the first member 30. In this embodiment the arrangement comprises a plurality of apertures. More specifically, in this embodiment, at the first end region 61 the web 64 is provided with nine apertures 72 which can be aligned with the apertures 47 of the connection member 46. Further, in this embodiment, at the first end region 61 the first flange 65 is provided with six apertures 73 which can be aligned with apertures 51 of the extension flange 45. Further, in this embodiment, at the first end region 61 the second flange 65 is provided with six apertures 74 which can be aligned with apertures 54 of the top plate 49 (while the apertures 53 of the top plate 49 are aligned with the apertures 52 of the second flange 36 of the first member 30).
[0212] The second end region 62 of the second member 60 is provided with an arrangement for facilitating secure connection of the second member at the apex 6 of the portal frame 1. In this embodiment the arrangement comprises a plurality of apertures 75.
[0213] In
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[0215] With reference to
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[0219] It will be appreciated that the above described embodiment provides a composite structural member for a building which can enhance performance and economy by providing different materials and structures at different points along the length of the structural member, each appropriate for the loads to be borne at those points. More specifically, using the example of a rafter for a portal frame, a material and structure suitable for resisting high-magnitude bending moments (and provided by the first member 30) is used close to the column, and a material and structure less incapable of resisting such high-magnitude bending moments is used closer to the apex.
[0220] In the described embodiment the first member is approximately 4 metres long, and the second member is approximately 11 metres long, to provide a composite structural member which is approximately 15 metres long. The first member makes up approximately 25% to 30% of the length of the composite structural member, and the second member makes up about 70% to 75% of the length of the composite structural member. These percentages may vary according to the situation and choices of structures and materials.
[0221] However, as will be illustrated in detail below, it has been found that the bending moments to which a portal frame is subject reduce rapidly with distance from the column and the joint where the rafter connects to the column. The need to provide a part of the rafter which is well adapted to resisting high-magnitude bending moments is therefore most acute close to where the rafter connects to the column. For reasons which will be explained below, at least in the illustrated embodiment it will often be appropriate for the member or part that is well adapted to resisting high-magnitude bending moments to be considerably shorter than the member or part that is less well adapted to resisting such forces.
[0222] As mentioned above, in relation to provision of a composite rafter for a portal frame, a benefit of providing such a composite rafter is that instead of a rafter comprising a substantially uniform length of a member of high cost per unit length which can resist the high-magnitude bending moments which occur at and close to where the rafter connects to the column, only a relatively of such a member need be provided, and the remainder of the rafter length may comprise a member which is of lower cost per unit length.
[0223] In the embodiment described with reference to
[0224] In order to cost effectively provide rafters it is normally important not to use beams which have a load capacity greatly above the required capacity (taking into account safety margins). Thus it is important to ascertain the required resistance to forces of the rafter to be provided. Where a single uniform beam is to be used, the maximum required resistance to forces of the rafter can be used as the requirement for the beam which forms the rafter. In relation to bending moments this will generally be the bending moment resistance requirement at or close to the column. Where a composite rafter in accordance with the present disclosure is to be used it is important to ascertain the required resistance to forces of the rafter along the rafter length. This can allow assessment of what types of beam or member are required, and assessment of an appropriate position along the rafter length to provide the connection at which the composite rafter transitions from the first member (e.g. first member 30) to the second member (e.g. second member 60).
[0225] Engineering software is known which can provide required resistances to forces, of a portal frame, at any specified region of the columns and rafters, taking into account the various factors involved including those described above (such as wind loading and live weight). Such software is a standard tool used by structural engineers.
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[0227] In
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[0229] For simplicity, only the forces at half metre increments along the length of the rafter 4 will be considered in detail.
[0230] It is apparent from
[0231] The values of the magnitudes of bending moments which the rafter 4 is required to resist at each illustrated half metre increment are given in Table 1.
[0232] As mentioned above, knowledge of the values of the magnitudes of the bending moments which the rafter 4 is required to resist at each point along its length can allow assessment of what types of beam or member are required, and assessment of an appropriate position along the rafter length to provide the connection at which the composite rafter transitions from the first member (e.g. first member 30) to the second member (e.g. second member 60).
[0233] The first member must be capable of resisting the maximum magnitude of bending moment which the rafter 4 is required to resist. This effectively sets a minimum capacity (to resist bending moment) for the first member. A suitable member with such a capacity can be engineered or selected, bearing in mind cost and any additional requirements (such as corrosion resistance).
[0234] As mentioned above, an aim in this embodiment is to provide a cost effective composite member. As the first member is considerably more expensive per unit length it might be assumed that the first member should be kept as short as possible to maximise cost savings. However, as the magnitude of the bending moment decreases rapidly close to the column it is apparent that providing a first member of greater length will reduce the required capacity (to resist bending moments) of the second member. This may allow a second member of lower cost per unit length to be used, and the cost benefit associated with this may outweigh the cost saving of providing a very short first member.
[0235] If the different costs per unit length of different possible second members with different capacities (to resist of bending moments) are known, then the known variations in bending moment along the length of the rafter can be used to determine a cost effective point at which to locate the connection, or in other words cost effective lengths for the first and second members.
[0236] Table 1 provides an indicative calculation of the cost of the composite rafter 4 for different positions of the connection 90 between the first member 30 and the second member (e.g. 60) at each of the half metre increments along the length of the rafter. That is, for each of these putative positions of the connection, table 1 sets out an indicative cost of the first member, an indicative cost of the second member, and an indicative total cost of the rafter 4. This enables a cost effective combination of first and second member lengths to be selected.
[0237] It will be appreciated that the calculations set out in Table 1 are intended to be indicative only. Factors which affect these calculations, such as the relative cost of the first and second members, or of different possible second member types may vary over time. Further capacities of different types of possible second members may vary over time.
[0238] Further, it will be appreciated that the portal frame 1 includes a ridge tie 9, and it has been found that different lengths and types of second member require different types, lengths and costs of ridge tie. This variable is included in the calculations in Table 1, but again may vary.
[0239] Table 1 include ten columns, designated A to K.
[0240] Column A lists distances, in metres, along the rafter 4 from its corresponding column at half metre increments ranging from zero (at the connection to the column) to 15 m (where the rafter terminates at the apex of the portal frame).
[0241] Column B lists the magnitudes of the bending moments, in kNm which the rafter 4 is required to resist at each of the half metre increments listed in column A. The respective values in the thirty one rows of column B correspond to the bending moments indicated by the lengths of the thirty one lines 1400 to 1430 in
[0242] Column C lists the length of the first member 30, in metres, for positions of the connection between the first member and the second member corresponding to the distance along the rafter 4 indicated by the corresponding row of column A.
[0243] Column D lists the cost of the first member, in Australian dollars, for each length listed in column C, assuming a cost of AU$240 per lineal metre.
[0244] Column E lists the length of the second member, in metres, for positions of the connection between the first member and the second member corresponding to the distance along the rafter 4 indicated by the corresponding row of column A.
[0245] Column F indicates the cost of the second member per lineal metre, in Australian dollars, for each length listed in column E. The costs are based on the assumption that the back-to-back beam 63 (of member 60) costs AU$64 per lineal metre and has a capacity to resist moment forces of 120 kNm (including safety margin). Where the second member is required to resist bending moments of greater than 120 kNm (including safety margin) it is assumed that additional parts must be included in the second member, for example additional channel sections welded to each side of the web 64 of beam 63 to enhance strength, and that this doubles the cost of the second member. Hence the stated cost per lineal metre is AU$128 in the third to seventh rows of column F (corresponding to bending moment magnitudes of between 141 kNm and 257 kNm). Where the second member is required to resist moment forces of greater than about 260 kNm it is assumed that no suitable or cost effective second (cold formed) member with such a capacity is feasible. Hence the designation N/A is stated in the first and second rows of column F (corresponding to bending moment magnitudes of between 289 kNm and 322 kNm).
[0246] Column G lists the cost of the second member, in Australian dollars, based on multiplying the corresponding length listed in column E and the corresponding cost per lineal metre listed in column F.
[0247] Column H lists the cost of the ridge tie, per rafter, for each length of second member listed in column E. Where the length of second member is 4.0 metres or less it is considered that the increased strength of the portal frame provided by the use of long (and strong) first members renders use of a ridge tie unnecessary.
[0248] Column I lists the cost of the rafter (including ridge tie) for each position of the connection between the first member and the second member corresponding to the distance along the rafter 4 indicated by the corresponding row of column A. The cost of the rafter is assumed to be the sum of the costs of the first member, the second member and the ridge tie (if any). Although other factors may also be relevant, such as the cost of providing and forming the connection and fasteners (and a possible transportation saving since less material, of less maximum length will need to be transported to the construction site), these other factors are ignored for the purposes of this indicative analysis. Any overlap between the first and second members is also ignored, and it is assumed that the lengths of the first and second members always sum to the total rafter length.
[0249] Column J lists the percentage saving afforded by provision of each considered variation of composite rafter compared to use of a uniform rafter corresponding to the first member and costing AU$240 per lineal metre, or AU$3600 for a 15 metre length (corresponding to the final row of the table, which affords a zero percent saving).
[0250] Column K lists the length of the first member as a percentage of the total rafter length. This may also be regarded as the position of the connection (the transition between the first and second members) along the rafter as percentage of the length of rafter.
TABLE-US-00001 TABLE 1 J A % age K Dist C D E F G H I saving 1.sup.st Mem from B L. of Cost of L. of Cost/m Cost of Ridge Total over % age col Res/ 1st first 2nd of 2nd 2nd tie rafter all hot length (/m) kNm mem Mem Mem Mem Mem cost cost roll UB of rafter 0 322 0 0 15.0 N/A N/A N/A 0 0.5 289 0.5 120 14.5 N/A N/A N/A 3.3 1.0 257 1.0 240 14.0 128 1,792 719 2,751 24 6.7 1.5 226 1.5 360 13.5 128 1,728 668 2,756 23 10.0 2.0 197 2.0 480 13.0 128 1,664 620 2,764 23 13.3 2.5 168 2.5 600 12.5 128 1,600 573 2,773 23 16.7 3.0 141 3.0 720 12.0 128 1,536 528 2,784 23 20.0 3.5 115 3.5 840 11.5 64 736 247 1823 49 23.3 4.0 91 4.0 960 11.0 64 704 226 1,890 48 26.7 4.5 67 4.5 1,080 10.5 64 672 206 1,958 46 30.0 5.0 45 5.0 1,200 10.0 64 640 187 2,027 44 33.3 5.5 23 5.5 1,320 9.5 64 608 168 2,096 42 36.7 6.0 4 6.0 1,440 9.0 64 576 151 2,167 40 40.0 6.5 15 6.5 1,560 8.5 64 544 135 2,239 38 43.3 7.0 32 7.0 1,680 8.0 64 512 119 2,311 36 46.7 7.5 48 7.5 1,800 7.5 64 480 105 2,385 34 50.0 8.0 63 8.0 1,920 7.0 64 448 91 2,459 32 53.3 8.5 77 8.5 2,040 6.5 64 416 79 2,535 30 56.7 9.0 89 9.0 2,160 6.0 64 384 67 2,611 27 60.0 9.5 100 9.5 2,280 5.5 64 352 56 2,688 25 63.3 10.0 110 10.0 2,400 5.0 64 320 47 2,767 23 66.7 10.5 113 10.5 2,520 4.5 64 288 38 2,846 21 70.0 11.0 115 11.0 2,640 4.0 64 256 0 2,896 20 73.3 11.5 116 11.5 2,760 3.5 64 224 0 2,984 17 76.7 12.0 115 12.0 2,880 3.0 64 192 0 3,072 15 80.0 12.5 114 12.5 3,000 2.5 64 160 0 3,160 12 83.3 13.0 111 13.0 3,120 2.0 64 128 0 3,248 10 86.7 13.5 106 13.5 3,240 1.5 64 96 0 3,336 7 90.0 14.0 101 14.0 3,360 1.0 64 64 0 3,424 5 93.3 14.5 94 14.5 3,480 0.5 64 32 0 3,512 2 96.7 15.0 86 15.0 3,600 0 N/A 0 0 3,600 0 100
[0251] Review of column J shows that a percentage cost saving in the region of approximately 40 to 49% can be provided, in this particular example, by use of a composite rafter in which the first member is between about 23% and about 40% of the rafter length. Clearly this represents a substantial saving. These values are indicated by use of a bold italic font in columns J and K.
[0252] The maximum saving, based on the assumptions set out and the results set out in Table 1 is about 49%, provided by a composite rafter in which the first member is about 23% of the rafter length. Notably, this also represents a composite rafter in which the second member extends to a position where it is required to resist a bending moment which is almost 100% of its maximum capacity. That is, the transition between the first member and the second member is at a point along the rafter where the bending moment that the rafter must be capable of resisting is 115 kNm, and the capacity of the second member, in this example, is 120 kNm (including safety margin), equating to an effective efficiency of the second member of (100115/120=) about 96%.
[0253] Evidently a further, small, cost saving could be obtained by reducing the length of the first member by a few centimetres, and extending the second member to the position where its efficiency is 100%.
[0254] It will be appreciated that although it is often desirable to maximise cost savings, even if the transition between the first member and the second member were provided at a point along the rafter where the cost saving is far from optimal a commercially valuable cost saving could potentially be obtained. For example, if the transition were half way along the composite rafter an indicated cost saving of some 34% could potentially be afforded.
[0255] It will also be appreciated that the lengths of the first and second members 30, 60 as described above, in relation to
[0256] It is worth noting that, to some extent, increasing the length of the first member can reduce the required capacity (to resist bending moments) of the second member, which may allow a second member of lower cost per unit length to be used. This is indeed the main reason why the cost saving indicated in Table 1 for a first member length of 3.5 metres is very much greater than for a first member length of 3.0 metres. However, it is worth noting that the second member must have a capacity sufficient to resist the magnitude of bending moment where it peaks in the half of the rafter closer to the apex (indicated by line 1423 in
[0257] If seeking to reduce the required capacity of the second member it is therefore important to consider the capacity required to meet the force resistance requirement where it peaks in the half of the rafter closer to the apex. That is, the required capacity of the second member cannot be reduced further by extending the first member (in the column half of the rafter) beyond the point where the magnitude of the force that must be resisted by the rafter is equal to the peak magnitude of the force that must be resisted by the rafter in the apex half of the rafter.
[0258] The effect that this has will vary according to the circumstances. In the embodiment of
[0259] Although the embodiment described above comprises both first and second members made from steel beams, it should be appreciated that the present disclosure is not limited to such materials or structures.
[0260] Alternative embodiments will be described with reference to
[0261]
[0262] The cold form steel section beam is less expensive per unit length than the open web of SHS or RHS steel sections, providing a cost benefit compared to use of an open web of SHS or RHS steel sections along the entire length of the rafter.
[0263] In a further alternative the second member 1760 may be made from timber. A timber member may provide a cost benefit compared to use of an open web of SHS or RHS steel sections along the entire length of the rafter.
[0264] In a further alternative the second member 1760 may be made from carbon fibre. Although carbon fibre may, at the time of writing, be considered too expensive for normal use in a portal frame, it is considered that if cost allows a carbon fibre second member may provide a light weight efficient alternative to use of an open web of SHS or RHS steel sections along the entire length of the rafter, and to timber or a cold formed steel section beam second members.
[0265] The connection between the first and second members 1730, 1760 may be any suitable connection that is capable of securing the members together in a manner that will adequately resist the expected load. The first and second members 1230, 1260 must be securely connected to each other by a connection, connection 1290 as illustrated, which has sufficient strength to withstand forces to which it will be subject in at least normal use. A suitable connection may include direct connection of parts of the first and second members to each other, for example by welding and/or suitable fasteners, and may alternatively or additionally include one or more connection plates which are connected to each of the first and second members 1230, 1260.
[0266]
[0267] In a further alternative the second member 1860 may be made from some other material suitable for resisting smaller magnitude bending moments, as required for this portion of the portal frame. Preferably the type of material and other characteristics are selected to provide some benefit over using a universal beam made from hot roll mild steel along the entire length of the rafter.
[0268] The first and second members 1830, 1860 must be securely connected to each other by a connection, connection 1890 as illustrated, which has sufficient strength to withstand forces to which it will be subject in at least normal use. The connection may be of any suitable type. A suitable connection may include direct connection of parts of the first and second members to each other, and may alternatively or additionally include one or more connection plates which are connected to each of the first and second members 1830, 1860.
[0269]
[0270] A second member 1960 of the composite structural member, suitable for resisting smaller magnitude bending moments, as required for this portion of the portal frame, is in the form of a timber beam. In further alternatives the second member 1960 may be made from cold form steel section (and may be similar to the second member 60 of portal frame 1) or may be made of some other material.
[0271] An advantage of the portal frame 1900 is that it allows the column 1901 and part of the length of the rafter (first member 1930) to be precast as a single reinforced concrete unit which may be economically desirable and can allow good quality control at the site of manufacture. Using a different material, such as timber or cold form steel section, for the part of the rafter of the portal frame which is closer to the apex (not shown) rather than forming the entire rafter part from precast reinforces concrete avoids attempted provision of a long near horizontal concrete member. Reinforced concrete would likely be unsuitable for such use, or if rendered suitable by adequate reinforcement would be prohibitively expensive.
[0272] The first and second members 1930, 1960 must be securely connected to each other by a connection, connection 1990 as illustrated, which has sufficient strength to withstand forces to which it will be subject in at least normal use. The connection may be of any suitable type. A suitable connection may include one or more connection plates, or fishplates, cast into the concrete forming the first member 1930 during manufacture thereof.
[0273]
[0274] In all embodiments the connection 90, 1790, 1890, 1990, 2090, must take into consideration transmission of forces between the members so that the connection does not cause the members to be subject to forces beyond their capacities. This may be a particular consideration where concrete or an open web structure is used for the first member. However, both concrete and open web structures have been widely used in constructions and the like in which substantial forces are accommodated, and the provision of suitable connections is considered to be available to, or within the capability of, the skilled addressee.
[0275] It will be appreciated that the above described embodiment provides a composite structural member for a building which can enhance performance and economy by providing different materials and structures at different points along the length of the structural member, each appropriate for the forces to be resisted at those points. More specifically, in described embodiments comprising a rafter for a portal frame, a material and structure suitable for resisting high bending moments is used close to the column, and a material and structure suitable for resisting smaller magnitude bending moments, but incapable of resisting the high moment or compressive forces applied close to the column, is used closer to the apex allowing significant cost savings.
[0276] More generally, the use of a composite structural member for a building in accordance with the present disclosure allows use of respective different materials, at respective different parts along the length of the composite structural member, which can efficiently meet the design requirements of the structural member.
[0277] It should particularly be appreciated that the use of different materials (including different grades and/or types of steel) at respective different parts along the length of the composite structural member is significantly different to merely providing differently sized, shaped or dimensioned members formed of the same material. The use of different materials allows much greater design choice. Further the use of different materials allows selection of components which are particularly effective for meeting the load resistance requirements at different parts along the length of the structural member. For example, it may be found that a part of a rafter of a portal frame in the half of the rafter closer to the apex requires a particularly high resistance to tensile forces, compared to the required resistance to bending moments at the same part. With reference to the described embodiment, in which the first member 30 comprises a hot-roll UB and the second member 60 comprises a cold formed steel section, a suitable second (cold formed) member selected such that its capacity to resist bending moments is substantially fully utilised will be able to meet the requirement for resisting tensile forces. In contrast, using, as a second member, a hot roll, mild steel UB (which is a member of the same material as the first member) which is merely sized differently to the first member to reduce weight and cost, selected such that its capacity to resist bending moments is substantially fully utilised, will likely not be capable of meeting the requirement for resisting tensile forces.
[0278] It should be appreciated that although the embodiments described above relate to a composite structural member in the form of a composite rafter, the present disclosure is also applicable to other types of structural member. Further, although the forces referred to in relation to the embodiments described above are bending moments, the selection of first and second members may be based upon other types of force, for example shear action effects, torsion, buckling and axial compressive action effects.
[0279] For example, an embodiment of a composite structural member for a building may be in the form of a vertical support, such as, but not limited to, a column for a portal frame. In such an embodiment a lower portion of a composite structural member may be required to be capable of resisting a high magnitude compressive force, and a higher portion of the composite structural member may be required to resist only a smaller magnitude compressive force. This can occur, for example, when a portal frame of a building is required to support a mezzanine floor, the lower portion of the portal frame column being required to resist compressive forces resulting from the weight of the building roof and the mezzanine floor, and the higher portion of the portal frame column, at least part of which is located above the level of the mezzanine floor, being required to resist compressive forces resulting from the weight of the building roof but not compressive forces resulting from the weight of the mezzanine floor. In such a case the lower portion may comprise an open lattice formed of metal members such as SHS or RHS steel members, and the higher portion of the portal frame column may comprise a UB.
[0280] Modifications and improvements may be incorporated without departing from the scope of the claims appended hereto.