(Solved): Consider the structure partially represented in the figure, consisting of a reinforced concrete slab ...

Consider the structure partially represented in the figure, consisting of a reinforced concrete slab with a thickness of 25cm, supported by metallic profiles, subjected to the following

Action:

-own weight: reinforced concrete = 25 kN/m3, steel = 78.5 kN/m3
-floor covering = 0.28 kN/m2
-overload = 5,87 kN/m2

Materials:
-steel : A235, fyk=235 MPa; Es =200 GPa; ?s = 1.15 
-concrete:  C30/37, fck = 30 MPa; Ec = 33 GPa; ?c = 1.5. 

Assume:
-that the influence width of each beam corresponds to 2.8m
-Ultimate Limit States (ULS) : ?g = 1.35, ?q = 1.5;
-Serviceability limit state (SLS) : ?2=0.3.

Questions:
a) Dimension the metallic profile to the ULS in bending, using the Tables of metallic profiles in Annex. Consider the stress envelope resulting from alternating overload. Choose two solutions, one with an IPE profile and one with an HEB profile.
b) Using the elastic line method, determine the maximum displacement of the beam subjected to a quasi-permanent combination of loads. Check that the value obtained is less than the maximum regulatory value given by L/250, resizing the profile if necessary.
c) State the hypotheses adopted in the resolution of the previous paragraphs.

 

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slab metallic profiles pillar Norma Dimensional DIN 1025-1 : 1963 Norma Tolerâncias EN 10024 : 1995 Inclinação do Banzo \( 14 \% \) IPE A \( 100-600 \) Norma Dimensional EURONORMA 19-57 Norma Tolerâncias NP EN 10034 : 1998 HF \( \Delta \Delta 1 \cap n \quad 1 \cap \cap n \) Norma Dimensional EURONORMA 53-62 Nnrma Tnlerânciac NP FN 10n.34 1998 Norma Dimensional EURONORMA 53-62 Norma Dimensional EURONORMA 53-62 Norma Tolerâncias NP FN \( 10034 \cdot 1998 \) Norma Dimensional DIN 1026-1 : 2000 Norma Tolerâncias NP EN 10279 : 2002 Norma Dimensional DIN 1026 Norma Tolerâncias EN 10279 Norma Material NP EN 10025 Norma Dimensional DIN 1026 Norma Tolerâncias EN 10279 Norma Material NP EN 10025 REFERENCIA Wy REFERENCIA Wz