Structural Products Compliance & Systems...
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Structural Products& Systems
ComplianceGuidelines
Multideck 60 & Multideck 80Guidelines for the Minimum Degree of Shear Connection Required to Comply with BS EN 1994-1-1: 2004
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Multideck 60 &Multideck 80
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Multideck 60 &Multideck 80
Scope of Application
Stud Reduction Factors
Minimum Degree of Shear Connection Required
Type of Applicable Loading
Maximum Longitudinal Stud Spacing
Deflection Calculation
References
AppendicesA: Composite Beam Design ExampleB: Minimum Degree of Shear Connection Tables
Notes:
The concepts and rules contained in this document are applicable
only to Multideck 60 and Multideck 80, and are not applicable
to any other deck no matter how similar to Kingspan’s steel floor
decking systems they may be.
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Contents
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Multideck 60 &Multideck 80
The adoption of BS EN 1994-1-1: 2004 (Eurocode 4: Design of Composite Steel and Concrete Structures) for the design of composite steel beams with composite metal decks, results in lower stud capacities than have previously been the norm.
The design code now stipulates reduced shear stud capacities,
limiting the number of studs to a maximum of 2 per trough.
These reduced stud capacities and limits to the degree of shear
connection can make it very difficult to obtain a composite beam
solution when using 60mm and 80mm trapezoidal composite steel
floor decking slabs.
Recognising these difficulties, Kingspan Insulated Panels has
commissioned tests and detailed analysis to provide safe and
practical solutions, as described in this document, for composite
beams up to 18m span, with a minimum of 1 stud per trough
in many design cases, using its Multideck 60 and Multideck 80
composite steel decking systems.
Scope of Application Beams up to and including 18m clear span.
Beams that are doubly symmetric.
Beams that are propped or unpropped during construction.
Multideck 60 and Multideck 80 composite steel floor decks in
steel grades up to and including S450 N/mm2 and gauges
between 0.8mm and 1.5mm.
Multideck 60 and Multideck 80 running either transverse or
parallel to the supporting beam.
Shear studs that have mesh placed either at nominal cover
above or below the stud head (by at least 10mm).
Stud Reduction FactorsMultideck 60 or Multideck 80 Transverse to the Beam
Reduction factors kmod x kℓ to apply to solid slab resistance for
transverse Multideck.
Table 1: Gauge of Deck 1.0mm or Less
Table 2: Gauge of Deck greater than 1.0mm
ComplianceGuidelines
Notes:* 100 stud is typically 95 LAW, 125 stud is typically 120 LAW.
Multideck 60 or Multideck 80 Parallel to the Beam
Reduction factors kℓ to apply to solid slab resistance for parallel
Multideck. Stud reductions shown are for the standard Multideck
60 and Multideck 80 deck trough widths.
kℓ = 0,6 𝑏𝑏0ℎ𝑝𝑝
(ℎ𝑠𝑠𝑠𝑠ℎ𝑝𝑝
− 1) ≤ 1,0
𝑛𝑛 ≥ 1 − (355
𝑓𝑓𝑦𝑦) (2.019 − 0.070𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (2.048 − 0.081𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.433 − 0.054𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.577 − 0.072𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.802 − 0.029𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.833 − 0.034𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.75 − 0.03𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.855 − 0.048𝐿𝐿𝑒𝑒
The design shear resistance should be taken as the resistance in
a solid slab, see BS EN 1994-1-1: 2004 6.6.3.1, multiplied by the
reduction factor kℓ given by the following expression:
Multideck 60 Multideck 80100 Stud* 125 Stud*
1 Stud 2 Studs 1 Stud 2 StudsMesh Below
Head of Stud0.85 0.63 0.59 0.37
Mesh at
Nominal Cover0.85 0.49 0.59 0.29
Notes:* 100 stud is typically 95 LAW, 125 stud is typically 120 LAW.
Multideck 60 Multideck 80100 Stud* 125 Stud*
1 Stud 2 Studs 1 Stud 2 StudsMesh Below
Head of Stud0.99 0.63 0.59 0.37
Mesh at
Nominal Cover0.99 0.49 0.59 0.29
Multideck 60 Multideck 80100 Stud* 125 Stud*
1 Stud 2 Studs 1 Stud 2 StudsReinforcement Below
Stud Head0.85 0.85 0.50 0.50
Notes:* 100 stud is typically 95 LAW, 125 stud is typically 120 LAW.
Where the trough over the beam is increased by the use of closure
trim or other means, the reduction factor should be calculated in
accordance with BS EN 1994-1-1: 2004 6.6.4.1(2).
b0
hschp
1/2 hp
Beam with Profiled Steel Sheeting Parallel to the Beam
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Multideck 60 &Multideck 80
Minimum Degree of Shear ConnectionThe minimum degree of shear connection required for a composite
beam design using Multideck 60 or Multideck 80 is given by the
following equations.
In all cases, Le is as defined in BS EN 1994-1-1: 2004 6.6.1.2 as
the distance in sagging bending between points of zero bending
moment in metres.
In some cases the equation gives a negative value which should be
evaluated as a zero shear connection requirement. Practically, the
minimum requirement is one stud per trough.
Please refer to appendix B for tabulated values of the minimum
degree of shear connection required.
Multideck 60 or Multideck 80 Transverse to Beam
1. Beam unpropped during construction, ultimate applied load up
to 9.0kN/m2.
2. Beam unpropped during construction, ultimate applied load
greater than 9.0kN/m2 and up to 12kN/m2.
3. Beam propped during construction, ultimate applied load up
to 9.0kN/m2.
4. Beam propped during construction, ultimate applied load
greater than 9.0kN/m2 and up to 12kN/m2.
Multideck 60 or Multideck 80 Parallel to Beam
1. Beam unpropped during construction, ultimate applied load up
to 9.0kN/m2.
2. Beam unpropped during construction, ultimate applied load
greater than 9.0kN/m2 and up to 12kN/m2.
3. Beam propped during construction, ultimate applied load up
to 9.0kN/m2.
4. Beam propped during construction, ultimate applied load
greater than 9.0kN/m2 and up to 12kN/m2.
ComplianceGuidelines
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
≥ 1.5, 𝑘𝑘 = 1
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
< 1.5, 𝑘𝑘 = 0.6 (𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
) { ℎ𝐷𝐷𝑝𝑝
− 1} but 𝑘𝑘 ≤ 1.0
Where 𝑏𝑏𝑟𝑟,𝐷𝐷𝑝𝑝and ℎ are as in 𝟓𝟓. 𝟒𝟒. 𝟕𝟕. 𝟐𝟐. 𝑛𝑛 ≥ 1 − (355
𝑓𝑓𝑦𝑦) (2.019 − 0.070𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (2.048 − 0.081𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.433 − 0.054𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.577 − 0.072𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.802 − 0.029𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.833 − 0.034𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.75 − 0.03𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.855 − 0.048𝐿𝐿𝑒𝑒
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.5(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.3(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
≥ 1.5, 𝑘𝑘 = 1
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
< 1.5, 𝑘𝑘 = 0.6 (𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
) { ℎ𝐷𝐷𝑝𝑝
− 1} but 𝑘𝑘 ≤ 1.0
Where 𝑏𝑏𝑟𝑟,𝐷𝐷𝑝𝑝and ℎ are as in 𝟓𝟓. 𝟒𝟒. 𝟕𝟕. 𝟐𝟐. 𝑛𝑛 ≥ 1 − (355
𝑓𝑓𝑦𝑦) (2.019 − 0.070𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (2.048 − 0.081𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.433 − 0.054𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.577 − 0.072𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.802 − 0.029𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.833 − 0.034𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.75 − 0.03𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.855 − 0.048𝐿𝐿𝑒𝑒
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.5(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.3(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
≥ 1.5, 𝑘𝑘 = 1
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
< 1.5, 𝑘𝑘 = 0.6 (𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
) { ℎ𝐷𝐷𝑝𝑝
− 1} but 𝑘𝑘 ≤ 1.0
Where 𝑏𝑏𝑟𝑟,𝐷𝐷𝑝𝑝and ℎ are as in 𝟓𝟓. 𝟒𝟒. 𝟕𝟕. 𝟐𝟐. 𝑛𝑛 ≥ 1 − (355
𝑓𝑓𝑦𝑦) (2.019 − 0.070𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (2.048 − 0.081𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.433 − 0.054𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.577 − 0.072𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.802 − 0.029𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.833 − 0.034𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.75 − 0.03𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.855 − 0.048𝐿𝐿𝑒𝑒
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.5(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.3(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
≥ 1.5, 𝑘𝑘 = 1
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
< 1.5, 𝑘𝑘 = 0.6 (𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
) { ℎ𝐷𝐷𝑝𝑝
− 1} but 𝑘𝑘 ≤ 1.0
Where 𝑏𝑏𝑟𝑟,𝐷𝐷𝑝𝑝and ℎ are as in 𝟓𝟓. 𝟒𝟒. 𝟕𝟕. 𝟐𝟐. 𝑛𝑛 ≥ 1 − (355
𝑓𝑓𝑦𝑦) (2.019 − 0.070𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (2.048 − 0.081𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.433 − 0.054𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.577 − 0.072𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.802 − 0.029𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.833 − 0.034𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.75 − 0.03𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.855 − 0.048𝐿𝐿𝑒𝑒
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.5(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.3(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
≥ 1.5, 𝑘𝑘 = 1
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
< 1.5, 𝑘𝑘 = 0.6 (𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
) { ℎ𝐷𝐷𝑝𝑝
− 1} but 𝑘𝑘 ≤ 1.0
Where 𝑏𝑏𝑟𝑟,𝐷𝐷𝑝𝑝and ℎ are as in 𝟓𝟓. 𝟒𝟒. 𝟕𝟕. 𝟐𝟐. 𝑛𝑛 ≥ 1 − (355
𝑓𝑓𝑦𝑦) (2.019 − 0.070𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (2.048 − 0.081𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.433 − 0.054𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.577 − 0.072𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.802 − 0.029𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.833 − 0.034𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.75 − 0.03𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.855 − 0.048𝐿𝐿𝑒𝑒
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.5(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.3(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
≥ 1.5, 𝑘𝑘 = 1
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
< 1.5, 𝑘𝑘 = 0.6 (𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
) { ℎ𝐷𝐷𝑝𝑝
− 1} but 𝑘𝑘 ≤ 1.0
Where 𝑏𝑏𝑟𝑟,𝐷𝐷𝑝𝑝and ℎ are as in 𝟓𝟓. 𝟒𝟒. 𝟕𝟕. 𝟐𝟐. 𝑛𝑛 ≥ 1 − (355
𝑓𝑓𝑦𝑦) (2.019 − 0.070𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (2.048 − 0.081𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.433 − 0.054𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.577 − 0.072𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.802 − 0.029𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.833 − 0.034𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.75 − 0.03𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.855 − 0.048𝐿𝐿𝑒𝑒
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.5(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.3(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
≥ 1.5, 𝑘𝑘 = 1
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
< 1.5, 𝑘𝑘 = 0.6 (𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
) { ℎ𝐷𝐷𝑝𝑝
− 1} but 𝑘𝑘 ≤ 1.0
Where 𝑏𝑏𝑟𝑟,𝐷𝐷𝑝𝑝and ℎ are as in 𝟓𝟓. 𝟒𝟒. 𝟕𝟕. 𝟐𝟐. 𝑛𝑛 ≥ 1 − (355
𝑓𝑓𝑦𝑦) (2.019 − 0.070𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (2.048 − 0.081𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.433 − 0.054𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.577 − 0.072𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.802 − 0.029𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.833 − 0.034𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.75 − 0.03𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.855 − 0.048𝐿𝐿𝑒𝑒
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.5(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.3(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
≥ 1.5, 𝑘𝑘 = 1
When 𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
< 1.5, 𝑘𝑘 = 0.6 (𝑏𝑏𝑟𝑟𝐷𝐷𝑝𝑝
) { ℎ𝐷𝐷𝑝𝑝
− 1} but 𝑘𝑘 ≤ 1.0
Where 𝑏𝑏𝑟𝑟,𝐷𝐷𝑝𝑝and ℎ are as in 𝟓𝟓. 𝟒𝟒. 𝟕𝟕. 𝟐𝟐. 𝑛𝑛 ≥ 1 − (355
𝑓𝑓𝑦𝑦) (2.019 − 0.070𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (2.048 − 0.081𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.433 − 0.054𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (1.577 − 0.072𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.802 − 0.029𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.833 − 0.034𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.75 − 0.03𝐿𝐿𝑒𝑒
𝑛𝑛 ≥ 1 − (355𝑓𝑓𝑦𝑦
) (0.855 − 0.048𝐿𝐿𝑒𝑒
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.5(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
𝛿𝛿 = 𝛿𝛿𝑐𝑐 + 0.3(1 − 𝑛𝑛) (𝛿𝛿𝑠𝑠 − 𝛿𝛿𝑐𝑐
6
Multideck 60 &Multideck 80
Type of Applicable LoadingWhere the applied load on the composite beam is a mixture of
uniform distributed and line or point loads, it is important to ensure
that the ratio of the moment due to the factored dead load alone
is at least 22% of the design plastic bending resistance of the
composite beam.
Maximum Longitudinal Stud SpacingThe maximum stud spacing for use with these rules is 450mm.
Where Multideck 60 or Multideck 80 is used transverse to the
beam, the maximum stud spacing of 450mm equates to a
minimum of one stud per trough, applied in all cases.
Deflection CalculationThe method for calculation is set out in BS EN 1994-1-1: 2004
7.3.1.
Creep and shrinkage may be accounted for by using an
appropriate value of modular ratio in accordance with
BS EN 1994-1-1: 2004 5.4.2.2.
References1. SCI RT 1601. Minimum Degree of Shear Connection Rules for
use by Kingspan Insulated Panels.
2. BS EN 1994-1-1: 2004. Eurocode 4. Design of Composite Steel
and Concrete Structures. General Rules and Rules for Buildings.
3. PN002a-GB NCCI: Modified Limitations on Partial Shear
Connection in Beams for Buildings.
4. Banfi, M., 2004. Published Composite Construction V. (South
Africa, 2004).
5. Fontana, M. & Baertchi, R., Published Composite Construction
V. (South Africa, 2004).
6. Hicks, S. (May 2007) The Structural Engineer. 85 (10).
7. MCRMA Technical Paper No. 13, SCI P300 (2009). Composite
Slabs and Beams using Steel Decking: Best Practice for Design
and Construction.
8. Civil and Structural Computer Services Ltd. MasterSeries
Composite Beam Design Software.
7
Multideck 60 &Multideck 80
Appendix A - Composite Beam Design Example BS EN 1994-1-1: 2004
ComplianceGuidelines
Notes:** From Table B1, minimum degree of shear connection required is 0 so actual value of 0.349 is acceptable - use one stud per trough.
© MasterBeam : Composite - C:\Program Files\MasterSeries\MASTER\Premier Inn - Newton Abbot
12141Kingspan Metl-Con LimitedSherburnMaltonNorth Yorkshire, YO17 8PQTel: (01944) 712000
Job RefSheetMade byDateCheckedApproved
:: /:: 17 December 2014 / Ver. 2013.05::
Software produced by www.MasterSeries.co.uk © Civil and Structural Computer Services Limited.
Unpropped Composite Secondary Internal BeamBeam Reference
Summary of Design Data EC4 - NA UK (Symmetrical Beam)EuroCode National Annex Using UK valuesSteel Section (60 kg/m) 406x178 UB 60 [S 355]Floor Area Supported 10 m Span, 3 m to LH Beam and 3 m to RH Beam (3 m Supported Directly)Non-Continuous Multideck 60 V2 (350) Trough Spacing 332, Height 60, Average Width 155 in 1 mm thickConcrete Slab 150 mm Thick @ 2350 kg/m³, Mod. Ratio 10, Gr C25/30 with 193 mm²/mHeaded Stud Connector 19x100 mm (as welded) Placed One per TroughFloor Loads (kN/m²) Live 5, Partitions 0, Services 0.6, Deck/Mesh 0.2, Construction 0.5Self Weight Loads Concrete Slab 2.721 kN/m², Steel Beam 0.589 kN/m
Section PropertiesConcrete Effective Area 90 x 2500 mm², b1= 1250 mm and b2= 1250 mmSteel Section Elastic Properties ye 203.2 mm, A 76.5 cm², Ix 21599 cm4, Zt 1063 cm³, Zb 1063 cm³Composite Section Elastic Properties ye 123.2 mm, Ix 77351 cm4, Zs.t 28984 cm³, Zs.b 1793 cm³, Zc.t 63029 cm³Headed Stud Connector 30 No. 19x100 mm, Qk 92.87 kN, Qp 74.29 kN, k 0.85, Pd 63.15 Welded
Ultimate Limit State (Final Stage)Maximum Shear
Support Reactions (kN) 182.19 kN each side < 709.13 kN OKCheck @ 5 m (Max. Moment) M = 455.48 kN.m, Fv = 0 kN
Shear Connection No of shear connectors from nearest support 15 < 43 PartialAxial Resistance (kN) Rc 3187.5 kN, Rs 2716.1 kN, Rq 947.25 kN 947.25 kNDegree of Shear Connection Higher Ductility, Na/Np = 15 / 43 < 0.4 0.349 WarningReduced Concrete Area Area required to resist 947.25 kN 26.7x2500mm²Moment Capacity Plastic neutral axis in web @ 184.3 mm 661.76 kN.m OK
Transverse ReinforcementVr = fn(Asv,fy, s, f, fck) 193, 500, 1.15, 26.5, 25 168.39 kNV= Fd/ x.Max(b1,b2)/(b1+b2) 947.25/5x1.25/(1.25+1.25) 94.73 kN OK
Ultimate Limit State (Construction Stage)Maximum Shear
Support Reactions (kN) 70.99 kN each side < 709.13 kN OKCheck @ 5 m (Max. Moment) M = 177.48 kN.m, Fv = 0 kN
Moment Capacity Plastic neutral axis in web @ 203.2 mm 425.82 kN.m OK
Serviceability Limit StateSupport Reactions (kN)
Live Loads 75 kN each sideSuper Imposed Dead Load 9 kN each sideDead Load (Self Weight) 46.75 kN each side
Maximum Deflection (Partial Connection All Loads)Live Loads 12.02 (18.30) mm @ 5 m < L / 360 = 27.8 mm 18.30 mm OKSuper Imposed Dead Loads 1.44 (2.20) mm @ 5 m 2.20 mmDead Loads (Self Weight) 26.84 mm @ 5 m 26.84 mm
Maximum Steel StressTOTAL (Tension) Live 104.6, Super Dead 12.6, SW 110 < 355 227.08 N/mm² OKTOTAL (Compression) Live 6.5, Super Dead 0.8, SW 110 < 355 117.20 N/mm² OK
Maximum Concrete Stress Live 2.97, Super Dead 0.36, SW 0 < 15 3.33 N/mm² OK
Vibration Analysis (Partial Connection)Beam Deflection Including Partial Connection 11.52 mmNatural Frequency 18/ (11.52/1.1) = 5.56 > 4 Hz 5.56 Hz OK
Kingspan Limited 12141
Sherburn Malton North Yorkshire, YO17 8PQ
Tel: (01944) 712000
Job Ref:Sheet:Made by:Date: 17 December 2014 / Ver. 2013.05Checked:Approved:
Unpropped Composite Secondary Internal BeamBeam Reference
Summary of Design Data EC4 - NA UK (Symmetrical Beam)EuroCode National Annex Using UK valuesSteel Section (60kg/m) 406 x 178 UB 60 [S 355]Floor Area Supported 10m span, 3m to LH beam and 3m to RH beam (3m supported directly)Non-Continuous Multideck 60-V2 (350) Trough spacing 332, height 60, average width, 155 in 1mm thickConcrete Slab 150mm thick @ 2350kg/m3, mod. ratio 10, Gr C25/30 with 193mm2/mHeaded Stud Connector 19 x 100mm (as welded) placed one per troughFloor Loads (kN/m2) Live 5, partitions 0, services 0.6, deck/mesh 0.2, construction 0.5Self Weight Loads Concrete Slab 2.721kN/m2, steel beam 0.589 kN/m
Section PropertiesConcrete Effective Area 90 x 2500mm2, b1=1250mm and b2=1250mm
Steel Section Elastic Properties ye 203.2mm, A 76.5cm2, Ix 21599cm4, Zt 1063cm3, Zb 1063cm3
Composite Section Elastic Properties ye 123.2mm, Ix 77351cm4, Zs.t 28984cm3, Zs.b 1793cm3, Zc.t 63029cm3
Headed Stud Connector 30No. 19 x 100mm, Qk 92.87kN, Qp 74.29kN, k 0.85, Pd 63.15
Ultimate Limit State (Final Stage)Maximum ShearSupport Reactions 182.19kN each side <709.13kN OKCheck @ 5m (Max. Moment) M=455.48kN.m, Fv=0kNShear Connection No. of shear connectors from nearest support 15<43 Partial
Axial Resistance Rc 3187.5kN, Rs 2716.1kN, Rq 947.25kN 947.25kN
Degree of Shear Connection Higher ductility, Na/Np=15 / 43<0.4 0.349**
Reduced Concrete Area Area required to resist 947.25kN 26.7 x 2500mm2
Moment Capacity Plastic neutral axis in web @ 184.3mm 661.76kN.m OK
Transverse ReinforcementVr=fn(Asv,fy,γs,Qf,fck) 193, 500, 1.15, 26.5, 25 168.39kN
V=∆Fd/∆x.Max(b1, b2)/(b1+b2) 947.25/5x1.25/(1.25+1.25) 94.73kN OK
Ultimate Limit State (Construction Stage)Maximum ShearSupport Reactions 70.99kN each side <709.13kN OKCheck @ 5m (Max. Moment) M=177.48kNm, Fv=0kN Moment Capacity Plastic neutral axis in web @ 203.2mm 425.82kN.m OK
Serviceability Limit StateSupport Reactions Live Loads 75kN each side Super Imposed Dead Load 9kN each sideDead Load (Self Weight) 46.75kN each sideMaximum Deflection (Partial Connection all Loads)Live Loads 12.02 (18.30)mm @ 5m<L / 360=27.8mm 18.30 OKSuper Imposed Dead Loads 1.44 (2.20)mm @ 5m 2.20mmDead Loads (Self Weight) 26.84mm @ 5m 26.84mmMaximum Steel StressTOTAL (Tension) Live 104.6, super dead 12.6, SW 110<355 227.08N/mm2 OKTOTAL (Compression) Live 6.5, super dead 0.8, SW 110<355 117.20N/mm2 OKMaximum Concrete Stress Live 2.97, super dead 0.36, SW 0<15 3.33N/mm2 OK
Vibration Analysis (Partial Connection)
Beam Deflection Including Partial Connection 11.52mm
Natural Frequency 18/√(11.52/1.1)=5.56>4Hz 5.56Hz OK
8
Multideck 60 &Multideck 80
Appendix B - Minimum Degree of Shear Connection RequiredTable B1 - Multideck 60 or Multideck 80 Transverse to an Unpropped Support Beam
Span Le Transverse Deck(m) Unpropped Beam Ys 275 Unpropped Beam Ys 355Beam Ult <=9kN/m3 Ult <=12kN/m3 Ult <=9kN/m3 Ult <=12kN/m3
5 0 0 0 05.5 0 0 0 06 0 0 0 06.5 0 0 0 07 0 0 0 07.5 0 0 0 08 0 0 0 08.5 0 0 0 09 0 0 0 09.5 0 0 0 010 0 0 0 010.5 0 0 0 011 0 0 0 011.5 0 0 0 012 0 0 0 012.5 0 0 0 013 0 0 0 013.5 0 0 0 0.0514 0 0 0 0.0914.5 0 0 0 0.1315 0 0 0.03 0.1715.5 0 0 0.07 0.2116 0 0.030 0.10 0.2516.5 0 0.080 0.14 0.2917 0 0.130 0.17 0.3317.5 0 0.190 0.21 0.3718 0.020 0.240 0.24 0.41
Notes:Where the value shown is zero, the minimum number of studs required is one per trough.
ComplianceGuidelines
9
Multideck 60 &Multideck 80
Appendix B - Minimum Degree of Shear Connection RequiredTable B2 - Multideck 60 or Multideck 80 Transverse to a Propped Support Beam
Span Le Transverse Deck(m) Propped Beam Ys 275 Propped Beam Ys 355Beam Ult <=9kN/m3 Ult <=12kN/m3 Ult <=9kN/m3 Ult <=12kN/m3
5 0 0 0 05.5 0 0 0 06 0 0 0 06.5 0 0 0 07 0 0 0 07.5 0 0 0 08 0 0 0 08.5 0 0 0.03 0.049 0 0 0.05 0.079.5 0 0 0.08 0.1110 0 0 0.11 0.1410.5 0 0 0.13 0.1811 0 0 0.16 0.2211.5 0 0.03 0.19 0.2512 0 0.08 0.22 0.2912.5 0.02 0.13 0.24 0.3213 0.06 0.17 0.27 0.3613.5 0.09 0.22 0.30 0.4014 0.13 0.27 0.32 0.4314.5 0.16 0.31 0.35 0.4715 0.20 0.36 0.38 0.5015.5 0.23 0.40 0.40 0.5416 0.27 0.45 0.43 0.5816.5 0.30 0.50 0.46 0.6117 0.34 0.54 0.49 0.6517.5 0.37 0.59 0.51 0.6818 0.40 0.64 0.54 0.72
Notes:Where the value shown is zero, the minimum number of studs required is one per trough.
ComplianceGuidelines
10
Multideck 60 &Multideck 80
Appendix B - Minimum Degree of Shear Connection RequiredTable B3 - Multideck 60 or Multideck 80 Parallel to an Unpropped Support Beam
Span Le Parallel Deck(m) Unpropped Beam Ys 275 Unpropped Beam Ys 355Beam Ult <=9kN/m3 Ult <=12kN/m3 Ult <=9kN/m3 Ult <=12kN/m3
5 0.15 0.14 0.34 0.345.5 0.17 0.17 0.36 0.356 0.19 0.19 0.37 0.376.5 0.21 0.21 0.39 0.397 0.23 0.23 0.40 0.417.5 0.25 0.25 0.42 0.428 0.26 0.28 0.43 0.448.5 0.28 0.30 0.44 0.469 0.30 0.32 0.46 0.479.5 0.32 0.34 0.47 0.4910 0.34 0.36 0.49 0.5110.5 0.36 0.39 0.50 0.5211 0.38 0.41 0.52 0.5411.5 0.40 0.43 0.53 0.5612 0.41 0.45 0.55 0.5812.5 0.43 0.47 0.56 0.5913 0.45 0.50 0.58 0.6113.5 0.47 0.52 0.59 0.6314 0.49 0.54 0.60 0.6414.5 0.51 0.56 0.62 0.6615 0.53 0.58 0.63 0.6815.5 0.54 0.60 0.65 0.6916 0.56 0.63 0.66 0.7116.5 0.58 0.65 0.68 0.7317 0.60 0.67 0.69 0.7517.5 0.62 0.69 0.71 0.7618 0.64 0.71 0.72 0.78
ComplianceGuidelines
11
Multideck 60 &Multideck 80
Appendix B - Minimum Degree of Shear Connection RequiredTable B4 - Multideck 60 or Multideck 80 Parallel to a Propped Support Beam
Span Le Parallel Deck(m) Propped Beam Ys 275 Propped Beam Ys 355Beam Ult <=9kN/m3 Ult <=12kN/m3 Ult <=9kN/m3 Ult <=12kN/m3
5 0.23 0.21 0.40 0.395.5 0.24 0.24 0.42 0.416 0.26 0.27 0.43 0.436.5 0.28 0.30 0.45 0.467 0.30 0.33 0.46 0.487.5 0.32 0.36 0.48 0.518 0.34 0.39 0.49 0.538.5 0.36 0.42 0.51 0.559 0.38 0.45 0.52 0.589.5 0.40 0.48 0.54 0.6010 0.42 0.52 0.55 0.6310.5 0.44 0.55 0.57 0.6511 0.46 0.58 0.58 0.6711.5 0.48 0.61 0.60 0.7012 0.50 0.64 0.61 0.7212.5 0.52 0.67 0.63 0.7513 0.54 0.70 0.64 0.7713.5 0.55 0.73 0.66 0.7914 0.57 0.76 0.67 0.8214.5 0.59 0.79 0.69 0.8415 0.61 0.83 0.70 0.8715.5 0.63 0.86 0.72 0.8916 0.65 0.89 0.73 0.9116.5 0.67 0.92 0.75 0.9417 0.69 0.95 0.76 0.9617.5 0.71 0.98 0.78 0.9918 0.73 1.01 0.79 1.01
ComplianceGuidelines
02/2015
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