Angelina Predesign charts

Transcription

1 Angelina Predesign charts The predesign charts allow the designer to get a quick and easy answer concerning the right section to use in his project. The charts are made for non-composite and composite beams in steel grades S355 and HISTAR 460. Explanations for the different assumptions for the calculation are given in the corresponding paragraphs. The Angelina section is obtained from a common hot-rolled profile. The length of the beam (L t ) is usually set by the overall layout of the project from the architect, whereas the parameters a 0, l s, and w, which actually define only the shape of the opening, are governed by functional requirements and verified by the designer. h w H t a 0 w end l s w l s w L o Where height of the opening length of the sinusoid total length of the opening w length of the intermediate web post w end length of the end web post h w remaining web height H t total beam height total beam length a 0 l s L o L t Although every care has been taken during the production of this brochure, we regret that we cannot accept any liability in respect of any incorrect information it may contain or any damages which may arise through the misinterpretation of its contents TECOM MEETING 27. May 2009 Version 02 1

2 Design load: The design load, q dim, required in the project has to be compared with the ultimate load q u given in the charts. This ultimate load takes into account all criteria required for Ultimate Limit States (ULS) and deflection at Serviceability Limit States (SLS). As a consequence, the design load could be directly compared to the ultimate load. The design load, q dim, expressed in kn/m in the charts, should be calculated using following ULS load combination: q dim = (1,35G + 1,5Q) B where: B = beam spacing [m], G = permanent load per square meter [kn/m 2 ], Q = variable load per square meter [kn/m 2 ]. q dim in kn/m B L Figure 1 Design load L Correct use of the charts: There are three possible procedures: 1) The section should be identified if the design load, qdim and the span L are known. The first step is to determine the point of intersection of the two lines for qdim and L. The required section is always situated vertically above this point when crossing the curves. Once the section is identified, the size of the opening should be checked against the functional requirements (if any). 2) The design load qdim should be identified if the Angelina section and the span L are known. From the (qu, L) curve of the chosen Angelina section, the ultimate load, qu, can be found. It has to be verified that qdim qu. 3) Identification of the maximum span, L, as a function of qdim = qu for a given Angelina section. 2

3 Predesign charts for non-composite Angelina beams The calculation of non-composite beams has been made with the following assumptions: Deflection limit of L/250 applied only on the variable loads (it is assumed that the deflection due to dead load can be compensated by the pre-cambering). The openings proportions are fixed in such a way that a 0 = l s. The web post length w is set to 200 mm. Non-composite Angelina based on IPE sections, S355 grade IPE 300 (a0=ls=315, w=200, Ht=457.5), S355 IPE 330 (a0=ls=345, w=200, Ht=502.5), S355 IPE 360 (a0=ls=380, w=200, Ht=550), S355 IPE 400 (a0=ls=420, w=200, Ht=610), S355 IPE 450 (a0=ls=475, w=200, Ht=687.5), S355 IPE 500 (a0=ls=525, w=200, Ht=762.5), S355 IPE 550 (a0=ls=580, w=200, Ht=840), S355 IPE 600 (a0=ls=630, w=200, Ht=915), S355 IPE 750x147 (a0=ls=790, w=200, Ht=1148), S

4 Non-composite Angelina based on HE A sections, S355 grade HE 300 A (a0=ls=305, w=200, Ht=442.5), S355 HE 320 A (a0=ls=325, w=200, Ht=472.5), S355 HE 340 A (a0=ls=345, w=200, Ht=502.5), S355 HE 360 A (a0=ls=370, w=200, Ht=535), S355 HE 400 A (a0=ls=410, w=200, Ht=595), S355 HE 450 A (a0=ls=460, w=200, Ht=670), S355 HE 500 A (a0=ls=515, w=200, Ht=747.5), S355 HE 550 A (a0=ls=565, w=200, Ht=822.5), S355 HE 600 A (a0=ls=620, w=200, Ht=900), S355 HE 650 A (a0=ls=670, w=200, Ht=975), S355 HE 700 A (a0=ls=725, w=200, Ht=1052.5), S355 HE 800 A (a0=ls=830, w=200, Ht=1205), S355 HE 900 A (a0=ls=935, w=200, Ht=1357.5), S Non-composite Angelina based on HE A sections, HISTAR460 grade HE 300 A (a0=ls=305, w=200, Ht=442.5), HISTAR460 HE 320 A (a0=ls=325, w=200, Ht=472.5), HISTAR460 HE 340 A (a0=ls=345, w=200, Ht=502.5), HISTAR460 HE 360 A (a0=ls=370, w=200, Ht=535), HISTAR460 HE 400 A (a0=ls=410, w=200, Ht=595), HISTAR460 HE 450 A (a0=ls=460, w=200, Ht=670), HISTAR460 HE 500 A (a0=ls=515, w=200, Ht=747.5), HISTAR460 HE 550 A (a0=ls=565, w=200, Ht=822.5), HISTAR460 HE 600 A (a0=ls=620, w=200, Ht=900), HISTAR460 HE 650 A (a0=ls=670, w=200, Ht=975), HISTAR460 HE 700 A (a0=ls=725, w=200, Ht=1052.5), HISTAR460 HE 800 A (a0=ls=830, w=200, Ht=1205), HISTAR460 HE 900 A (a0=ls=935, w=200, Ht=1357.5), HISTAR

5 Predesign charts for composite Angelina beams The calculation of composite beams has been made with the following assumptions: Materials The Charts cover the use of S355 and HISTAR 460 steel grades and the concrete class C25/30. Slab and connection A composite slab with trapezoidal steel deck was taken into account for establishing these tables. The span of the slab is set to 3 m perpendicular to the beam. The total thickness of the slab is120 mm and the rib height is 60 mm. A full shear connection between the slab and the Angelina section is assumed for calculation of the charts mm 180 mm 60 mm 60 mm Steel decking Alternatively, the composite slab has been replaced by prefabricated slab element Cofradal 200 with a self weight of 2,00 kn/m 2. Thanks to this type of element, the beam distance has been set to 6 meters. The effective width is assumed to be 1 m and the available height for shear resistance is 20 cm mm 600 mm 200 mm Cofradal 200 5

6 Ultimate load The ultimate load, q u, was established for: B = 3 or 6 meters G represents the weight of the Angelina beam itself and the weight of the slab (g slab = 2,0 kn/m 2 ) Construction phase The calculations assume that the beam is propped and braced during the construction phase. Openings The openings proportions are fixed in such a way that a 0 = l s. Exception is made for some HD profiles, where a 0 could differ from l s. The web post length w, is set to 200 mm for small profiles and to 250 mm for larger sections (see legend of predesign charts). Admissible deflection The curves consider a deflection limit of L/350 under variable load Q. (it is assumed that the deflection due to dead load can be compensated by the pre-cambering). 6

7 Composite Angelina based on IPE sections, S355 grade + COFRAPLUS IPE 270 (a0=ls=285, w=200, Ht=412.5), S355 IPE 300 (a0=ls=315, w=200, Ht=457.5), S355 IPE 330 (a0=ls=345, w=200, Ht=502.5), S355 IPE 360 (a0=ls=380, w=250, Ht=550), S355 IPE 400 (a0=ls=420, w=250, Ht=610), S355 IPE 450 (a0=ls=475, w=250, Ht=687.5), S355 IPE 500 (a0=ls=525, w=250, Ht=762.5), S355 IPE 550 (a0=ls=580, w=250, Ht=840), S355 IPE 600 (a0=ls=630, w=250, Ht=915), S Composite Angelina based on HEA sections, S355 grade + COFRAPLUS HE 300 A (a0=ls=305, w=200, Ht=442.5), S355 HE 320 A (a0=ls=325, w=200, Ht=472.5), S355 HE 340 A (a0=ls=345, w=200, Ht=502.5), S355 HE 360 A (a0=ls=370, w=250, Ht=535), S355 HE 400 A (a0=ls=410, w=250, Ht=595), S355 HE 500 A (a0=ls=515, w=250, Ht=747.5), S355 HE 550 A (a0=ls=565, w=250, Ht=822.5), S355 HE 600 A (a0=ls=620, w=250, Ht=900), S355 7

8 Composite Angelina based on HEB sections, S355 grade + COFRAPLUS HE 300 B (a0=ls=315, w=200, Ht=457.5), S355 HE 320 B (a0=ls=335, w=200, Ht=487.5), S355 HE 340 B (a0=ls=355, w=200, Ht=517.5), S355 HE 360 B (a0=ls=380, w=250, Ht=550), S355 HE 400 B (a0=ls=420, w=250, Ht=610), S355 HE 450 B (a0=ls=475, w=250, Ht=687.5), S355 HE 500 B (a0=ls=525, w=250, Ht=762.5), S355 HE 550 B (a0=ls=580, w=250, Ht=840), S355 HE 600 B (a0=ls=630, w=250, Ht=915), S Composite Angelina based on HD sections, S355 grade + COFRAPLUS HD 260 x 68,2 (a0=ls=250, w=200, Ht=375), S355 HD 260 x 93 (a0=ls=250, w=200, Ht=385), S355 HD 320 x 127 (a0=ls=360, w=250, Ht=500), S355 HD 400 x 187 (a0=ls=440, w=250, Ht=588), S355 HD 400 x 216 (a0=ls=440, w=250, Ht=595), S

9 Composite Angelina based on HEA sections, HISTAR 460 grade + COFRAPLUS HE 300 A (a0=ls=305, w=200, Ht=442.5), HISTAR 460 HE 320 A (a0=ls=325, w=200, Ht=472.5), HISTAR 460 HE 340 A (a0=ls=345, w=200, Ht=502.5), HISTAR 460 HE 360 A (a0=ls=370, w=250, Ht=535), HISTAR 460 HE 400 A (a0=ls=410, w=250, Ht=595), HISTAR 460 HE 450 A (a0=ls=460, w=250, Ht=670), HISTAR 460 HE 500 A (a0=ls=515, w=250, Ht=747.5), HISTAR 460 HE 550 A (a0=ls=565, w=250, Ht=822.5), HISTAR 460 HE 600 A (a0=ls=620, w=250, Ht=900), HISTAR 460 Composite Angelina based on HEB sections, HISTAR 460 grade + COFRAPLUS 60 HE 300 B (a0=ls=315, w=200, Ht=457.5), HISTAR HE 320 B (a0=ls=335, w=200, Ht=487.5), HISTAR 460 HE 340 B (a0=ls=355, w=200, Ht=517.5), HISTAR 460 HE 360 B (a0=ls=380, w=250, Ht=550), HISTAR 460 HE 400 B (a0=ls=420, w=250, Ht=610), HISTAR 460 HE 450 B (a0=ls=475, w=250, Ht=687.5), HISTAR 460 HE 500 B (a0=ls=525, w=250, Ht=762.5), HISTAR 460 HE 550 B (a0=ls=580, w=250, Ht=840), HISTAR 460 HE 600 B (a0=ls=630, w=250, Ht=915), HISTAR 460 9

10 Composite Angelina based on HD sections, HISTAR 460 grade + COFRAPLUS HD 260 x 93 (a0=ls=250, w=200, Ht=385), HISTAR 460 HD 320 x 127 (a0=ls=360, w=250, Ht=500), HISTAR 460 HD 400 x 187 (a0=ls=440, w=250, Ht=588), HISTAR 460 HD 400 x 216 (a0=ls=440, w=250, Ht=595), HISTAR

11 1 Composite Angelina based on HD sections, S355 grade with Cofradal HD 260 x 68,2 (a0=250, ls=350, w=200, Ht=375), S355 HD 260 x 93 (a0=250, ls=390, w=200, Ht=385), S355 HD 320 x 127 (a0=360, ls=580, w=250, Ht=500), S355 HD 400 x 187 (a0=440, ls=740, w=250, Ht=588), S355 HD 400 x 216 (a0=440, ls=740, w=250, Ht=595), S Composite Angelina based on HD sections, HISTAR 460 grade with Cofradal HD 260 x 93 (a0=250, ls=390, w=200, Ht=385), HISTAR 460 HD 320 x 127 (a0=360, ls=580, w=250, Ht=500), HISTAR 460 HD 400 x 187 (a0=440, ls=740, w=250, Ht=588), HISTAR HD 400 x 216 (a0=440, ls=740, w=250, Ht=595), HISTAR