Scientific Herald of t he Voronezh State University o f Architecture and Civil Engineering. Construction and Architecture
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Fig. 2. Strengths applied to a support sla b:
а) two r ows of anchor bolts are stretched, the slab is compressed under the right cap; b) support slab is compressed under both c aps;
Ft, l, Rd is a tensile loa on the left part of the sup port slab;
is a compressive str ength on the right part of the support sla ;
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Fc, l, Rd is a co mpressive strength on the left part of th |
support slab; |
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MSd is bending mo ment; NSd is a longitudinal strength; |
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zc, l is an arm of the left compressive strength; zc, r is a n arm of the |
ight compressive strength; |
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zt, l is an arm of the right tensile strength; z is |
n arm |
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( distance betw een the centres of the stretched and compressed zone s) |
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Fig. 2 (end). Strength applied to the support slab:
c)a r ow of anchor bolts is stretc hed, the slab is compressed under the right cap;
d)the same as “b” but the tension areas of the slab reach the edges
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Issue № 1(29), 2016 |
ISSN 2075-0811 |
а) |
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Fig. 3. Scheme of the failure of the support slab:
а, h) plastic areas are joined together; b) plastic areas reaches the transverse and longitudinal sides of the support slab;
c, g) the same for the transverse one; d) round plastic zones; e) angular plastic zones; f) rectangular plastic zones
2. Solution of the problem
2.1. Determining the compressive resistance of the joints as a minimum of the function [5, 7]:
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Ft,Rd min FRd ,1, FRd ,2 , FRd ,3 . |
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Considering extra forces at |
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tp 2,07m 3 |
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Lbef leff |
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t,Rd |
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Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture
without considering extra forces at
tp 2,07m3 |
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where m is the distance between plastic hinges and the axis of the bolt (for a welded column m ec 0,8ac 2 , ac is the height of the leg of the weld; ec is the distance between the axes of the compressed bolts to the column cap; for a rolled beam m ec 0,8r , n is the distance be-
tween the extra strength Q and axes of the bolts ≤1,25m); d is the diameter of the plate; Lbef is the effective length of anchor bolts:
Lbef 8db tg tep tn / 2,
where db is the diameter of anchor bolts; tg is the thickness of the base between the support slab and the upper one with the foundation base; tn is the thickness of the plate; Mpl,1, Rd, Mpl,2, Rd are plastic bending moments of the support slab corresponding to the first and second failure mechanisms:
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y,ep |
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4 Mo |
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where leff is the effective length of the compressed zone of the support slab:
leff min 4m 1, 25ex ; 4 m; 0,5b; 2m 0,625ex 0,5w;2m 0,625ex eep ; 2 m 4eep ; 2 m w ;
tep is the thickness of the support slab; fy, ер is the bending resistance of the support slab material;
γМо is the coefficient: γМо = 1; w is the distance between two axes of bolts; b is the thickness of the support slab; ex, eep are geometrical characteristics (Fig. 3, 4); Ft, Rd, b is a calculated compressive resistance of anchor bolts:
FRd ,3 |
Ft,Rd ,b , Ft,Rd ,b |
0,9As fub |
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Mb |
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As is the area of the longitudinal section of tensile bolts; fub is the tensile resistance of bolts; γМb = 1,1 is the coefficient.
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Issue № 1(29), 2016 |
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ISSN 2075-0811 |
а) |
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Fig. 4. Denotation of the sizes used in the calculation of the column: а) of a rolled section; b) of a welded section
2.2. Compressive resistance of the joints [1, 7]:
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Fс,Rd |
min f jbeff leff ,c ; |
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hc tcf |
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where fj is the compressive resistance of concrete under concentrated axial loads determined according to the European Standard [1]:
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where fck is the compressive resistance of concrete; a, b is the width and length of the support slab (Fig. 5);
a1 min a 2ar ; 5a; a h; 5b1
b1 min a 2br ; 5b; b h; 5a1
h is the height of a concrete base plate; γс = 1,5; beff, с, leff, с the compressed zone of T-shaped section:
иa1 a;
иb1 b;
is the effective width and length of
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Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture
bc, c are the sizes specified according to Fig.5; Mc, Rd is a plastic moment in the column considering the shear and axial strengths (according to the European Standard [2]):
at e = Msd/Nsd > zc, r:
Mc,Rd min Ft,l,Rd z NSd zc,r ; Ft,l,Rd z NSd zt,l ; |
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at e = Msd/Nsd < zc, r: |
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Mc,Rd min Fc,l,Rd z NSd zc,r ; Fc,r,Rd z NSd zc,l . |
(7) |
а)
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Fig. 5. Sizes of the column base:
а) position of the column on the support slab; b) position of the effective compressed zone on the support slab
2.3. Bending resistance of the column base [1, 7]:
MRd Ft,Rd rb Aeff f j rc , |
(8) |
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rc is the distance between the centre of the compressed zone to the neutral line:
rc h2c c b2eff .
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