guide rc project nagy-gyorgy t 2013-04-09
TRANSCRIPT
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REINFORCEDCONCRETE DESIGNGUIDE
1ST PART
Preparedby
NAGYGYRGY Tams
Phd,Lecturer
FLORU Codru
Phd,AssistantLecturer
2013
V2
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REFERENCES
- - : , ro ec area s ruc ur or e e on, ar ea - : egu genera e pen ru c r
(+AC:2008)
SR EN 1992-1-1/NB: 2008, Proiectarea structurilor de beton, Partea 1-1: Reguli generale pentru cldiri.Anexa Naional
EN 1992-1-1: 2004, Design of concrete structures - Part 1-1: General rules and rules for buildings
SR EN 1991-1-1:2004, Aciuni asupra structurilor. Partea 1-1: Aciuni generale (+ NA:2006)
P 100-1/2006, Cod de proiectare seismic - Partea I - Prevederi de proiectare pentru cldiri
Cadar I., Clipii T., Tudor A., Beton Armat (ed. II), Ed. Orizonturi Universitare, 2004, ISBN 973-638-176-5
Kiss Z., One T., Proiectarea structurilor de beton armat dup SR EN 1992-1, Ed. Abel, 2008, ISBN973114070-0
Mosley W.H., Burgey J.H., Hulse R., Reinforced Concrete Design to Eurocode 2, Sixth Edition, 2007, ISBN:
Nilson A., Darwin D., Dolan Ch., Design of Concrete Structures (13th Ed.), McGraw-Hill Co, 2004, ISBN 0-07-
248305-9
Newman J., Choo B. S., Advanced Concrete Technology SET, Ed. Elsevier Science, 2003, ISBN-13:
9780750656863
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I.DESIGNOFARCCASTINPLACESLAB
1. ELEMENTS OF A FLOOR
- ,
- SLAB AND BEAMS (DISPOSED IN ONE OR TWO DIRECTIONS, WHICH SUPPORTS THESLAB)
- - , . .- FINISHING, FLOORS, ISOLATIONS (ACOUSTIC, HYDRO-), INSULATIONS
GIRDERS MAIN BEAMS BEING ALSO IN THE SAME TIME BEAMS OF THE FRAME
SECONDARY BEAMS DISPOSED PERPENDICULAR TO THE GIRDERS, BEINGEQUIDISTANT (AS IS MUCH AS IT IS POSSIBLE), THE DISTANCE
,
OF A SLAB PANEL RESPECTS THE CONDITION:
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I.DESIGNOFARCCASTINPLACESLAB
.
The cast-in-place floor is a space structure, because, through concrete and
s ee re n orcemen a n e ween e componen e emen s s crea e .
The computation of a space structure is quite difficult, therefore, in design is
accep e e ca cu a on o eac s ruc ura e emen separa e y, a ng n o
account the load transmission modes, in vertical direction, toward the supports.
n s way, cou e a m e a e s a s suppor e y e secon ary
beams (SB), the secondary beams are supported by the girders (G) and columns
(C) and the girders together with columns are forming the frame, which transmits
.
S SB frame = G + C F terrain
The route of the loads specifies the order in which the design of the structural element must be done, i.e.design of the slab, then secondary beams, girders, etc.
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I.DESIGNOFARCCASTINPLACESLAB
1. ELEMENTS OF A FLOOR
GirdersSecondary beams
Slab panel
Columns
Detail A(o
pening)
(bay)
Transversal sections
girder secondary beam
Lsecondary
beam
girder
Detail A
n x B
L
Girdersecondary
beam
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Formwork plane
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Formwork plane
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Formwork plane
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Formwork plane
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Formwork plane
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Formwork plane
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Formwork plane
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Formwork plane
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I.DESIGNOFARCCASTINPLACESLAB
1. ELEMENTS OF A FLOOR
- PRE-DIMENSIONING: choosing the structural elements dimensionsaccording to the recommendations, in such a way to correspond also to other
criteria that the stren th
- COMPUTATION OF THE LOADS: determination of the design loads,
knowing the structural elements dimensions, the composition of non-structuralelements, destination and location of the construction;
- ESTABLISHING THE STATIC SCHEME FOR DESIGN based on the design
spans o e e emen s;
- STATIC DESIGN: determining the most unfavourable effects of design loads
.
programs or manually, with approximate methods;
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I.DESIGNOFARCCASTINPLACESLAB
1. ELEMENTS OF A FLOOR
- THE PROPER DESIGN, through following steps:
- finalization of the elements cross section based on the results
from the static calculations and on the used material characteristics;
- computation of the reinforcement area and setting their layout;
- execution drawing, which includes the framework plane and
reinforcement layout, reinforcement details and material consumptions
vo ume o e concre e an re n orcemen .
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I.DESIGNOFARCCASTINPLACESLAB
. -
SLAB
IF YES SLAB REINFORCED IN A SINGLE DIRECTION
(Conf. P100-1/2006)
Section aa
hs
hs = M 10 mm
l = interaxis
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I.DESIGNOFARCCASTINPLACESLAB
. -
BEAMS
DIMENSION RECOMMENDATIONS
L 1215 irders
HEIGHT
Minimum,hminL/20 secondary beams
Optimum, hopt
L/(1215) secondary beams
=
=
.
min
h, b = M x 50 mm
L = interaxis
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I.DESIGNOFARCCASTINPLACESLAB
. -
COLUMNS (is chosen)
bCOL = (bG + 5cm) 350 mm
hCOL 1,2 bCOL
h, b = M x 50 mm
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I.DESIGNOFARCCASTINPLACESLAB
.
ACTION CHARACTERISTICS EXAMPLES
PERMANENTVariationintimeisnegligible
Selfweight:structuralelements,finishing,etc.
VARIABLEVariationintimeis
important
buildings(liveloads)
Windnow
ACCIDENTALHighintensity,reducedtimeofaction
Earthquake
Explosion
Designvalueofaction
Partialsafetycoefficient
Characteristicvalueofaction
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I.DESIGNOFARCCASTINPLACESLAB
.
GENERALLY, THESE LOADS CAN BE CONSIDERED UNIFORMLY
DISTRIBUTED ON THE SLAB SURFACE AND THERE ARE EXPRESSED IN
kN/m2.
FOR THE CHARACTERISTIC VALUES k
DESIGN VALUES d
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I.DESIGNOFARCCASTINPLACESLAB
.
PERMANENT DEAD CHARACTERISTIC LOADS :
SELFWEIGHTP ,- RC SLAB
, - PLASTER- FLOOR
,
- Asphalt
- Mosaic
, 2
, 2
- Pavement
- Cement concrete lining
,
, 2
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I.DESIGNOFARCCASTINPLACESLAB
.
MATERIALS
[kN/m3
]CONCRETES
R.C. 25.0
FINISHINGPLASTERS
emen mor ar .
Cementlimemortar 19.0
Limeor lastermortar 17.0
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I.DESIGNOFARCCASTINPLACESLAB
.
VARIABLE LIVE CHARACTERISTIC LOADS:
IMPOSEDLOADSQ ,
- CATEGORIES OF USE ,- PARTITION WALLS ,(according to SR EN 1991-1-1:2004)
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I.DESIGNOFARCCASTINPLACESLAB
.
PERMANENT DESIGN LOADS
VARIABLE DESIGN LOADS
PARTIALSAFETYFACTORFORACTIONS
F
PERMANENT LOADS g =1.35
VARIABLE LOADS q =1.50
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I.DESIGNOFARCCASTINPLACESLAB
.
LOAD COMBINATION
- In the design, actions are combined to produce the most unfavorable effects
on the structure
- The combinations are specific for the limit state which is used in design
- Dimensioning and verification of the concrete sections and the reinforcements
will be done in Ultimate Limit State (ULS)
- General form in conf. of CR 0, ch. 4.3 (!):
,1 0, ,
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I.DESIGNOFARCCASTINPLACESLAB
.
ESTABLISHING THE STATIC SCHEME
- In order to find out the stresses (bending and shear), the slab reinforced in onedirection can be re laced with a 1.0 m wide slab considered in the short s an of theslab panels, this means that on the discharge direction of loads.
From the static point of view, this strip is equivalent with a continues beam.
Supports of the slab are the secondary beams, while the design spans (lc ) of the
secondary beams)
interaxisspan:l
designspan,usedinstaticdesign: lc = l0
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I.DESIGNOFARCCASTINPLACESLAB
.
ESTABLISHING THE STATIC SCHEME
-The real slab is replaced with a continues beam having spans oflc and linear
distributed loads of pd x 1 m [kN/m]
Envelope curvesgd,gs/qd,gs =0,5
gd,gs/qd,gs =5
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I.DESIGNOFARCCASTINPLACESLAB
.
ESTABLISHING THE STATIC SCHEME
-The real slab is replaced with a continues beam having spans oflc and linear
distributed loads of pd x 1 m [kN/m]
envelopecurves
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I.DESIGNOFARCCASTINPLACESLAB
.
CHARACTERISTIC AND DESIGN STRENGTH
CONCRETE
ua y o concre e s e ne y e s reng c ass, w c s e c arac er s c
compressive strength on cylinders
Concrete class is ,
REINFORCEMENT Design strength of reinforcement
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I.DESIGNOFARCCASTINPLACESLAB
.
CHARACTERISTIC AND DESIGN STRENGTH
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I.DESIGNOFARCCASTINPLACESLAB
.
FINALIZING THE THICKNESS OF THE SLAB
Design section of the slab
hs
s s
Reinforcement oftheslab popt (%)forreinforcingwith
fyk =400500N/mm2 fyk =300400N/mm
2
, , , ,
In2directions 0,20 0,50 0,25 0,50
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I.DESIGNOFARCCASTINPLACESLAB
.
FINALIZING THE THICKNESS OF THE SLAB
Checking of the chosen thickness (necessary)
MEd the maximum bending moment from the static design
= 1000 mm
or = f() table , where 1 0.5, in function of popt
100
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I.DESIGNOFARCCASTINPLACESLAB
.
FINALIZING THE THICKNESS OF THE SLAB
Computation of the necessary slab thickness
where,
/2
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I.DESIGNOFARCCASTINPLACESLAB
.
FINALIZING THE THICKNESS OF THE SLAB
Computation of the necessary slab thickness
max , ; , ;10
on
,
0.1 2 !!!!!!!!! in function of the Exposure Classand Structural class (Ch. 4.4 ) 5 , 10 25
hs = M x 10 mm
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I.DESIGNOFARCCASTINPLACESLAB
5. DIMENSIONING OF THE SLAB
If
OK
,
,
If
RE-CALCULATION OF THE LOADS MOMENTS FINALIZING THE SLAB THICKNESS, ,
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I.DESIGNOFARCCASTINPLACESLAB
.
CALCULATION OF THE REINFORCEMENT AREA
Effective depth:
2
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I.DESIGNOFARCCASTINPLACESLAB
.
DETAILING RULES principal reinforcements
(SR EN 1992-1-1/ Ch. 9)
, 0.26 0.0013
, 0.04
. . . 80 straight (bound) bars 0.1 2 6
welded bars (welded fabrics) 5
ngyt1
Slide 37
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Slide 37
ngyt1 in conformity with the N.A.tamas.nagygyorgy; 02.03.2011
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I.DESIGNOFARCCASTINPLACESLAB
.
DETAILING RULES principal reinforcements
(SR EN 1992-1-1/ Ch. 9)
- At the edge of the slab
, 25%,- Perpendicular to the girder , 6/. lo
gsgslo /4
GP gsgs
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I.DESIGNOFARCCASTINPLACESLAB
.
DETAILING RULES secondary reinforcements
(SR EN 1992-1-1/ Ch. 9)
s
2.5 300 .. ngyt2
Slide 39
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Slide 39
ngyt2 in conformity with the N.A.tamas.nagygyorgy; 02.03.2011
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I.DESIGNOFARCCASTINPLACESLAB
.
DETAILING RULES welded wire mesh (fabric) reinforcements
(SR EN 1992-1-1/ Ch. 9)
- At the edge of the slab
, 50%,- Perpendicular to the girder
,, 5/150logsgs lo /4GP gsgs
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I DESIGN OF A RC CAST IN PLACE SLAB
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I.DESIGNOFARCCASTINPLACESLAB
4.52cm2 3.50cm2
.SLAB LAYOUT reinforcement with inclined bars
5.58cm2 3.50cm2
I DESIGN OF A RC CAST IN PLACE SLAB
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I.DESIGNOFARCCASTINPLACESLAB
.SLAB LAYOUT reinforcement with straight bars
4.52cm2 3.50cm2
5.58cm2 3.50cm2
I DESIGN OF A RC CAST IN PLACE SLAB
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I.DESIGNOFARCCASTINPLACESLAB
.SLAB LAYOUT reinforcement with welded wire mesh (welded fabric)
I DESIGN OF A RC CAST IN PLACE SLAB
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I.DESIGNOFARCCASTINPLACESLAB
.
CHECKINGTHESLABFORSHEARFORCES
Generally, in the case of usual slabs with low thickness, the reinforcement isresulting from the design for bending and reinforcement for shear force is not
.
To verify this:
,
, ,100 1/3 0.035 3/2 1/2 , 0.18/
1 200 2.00
0.02
II DESIGN OF THE SECONDARY BEAM
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II.DESIGNOFTHESECONDARYBEAM
1. COMPUTATION OF LOADS
. .
s.b
losbbG bG
Gs.b
G
B
bsb
II DESIGN OF THE SECONDARY BEAM
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II.DESIGNOFTHESECONDARYBEAM
1. COMPUTATION OF LOADS
s.b.
s.b
bsblosbbG bG
Gs.b
G
P , , B ITISTHETOTAL
LOAD!!!
Q , ,
, , ,
II. DESIGN OF THE SECONDARY BEAM
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II.DESIGNOFTHESECONDARYBEAM
2. STATIC DESIGN OF THE SECONDARY BEAM
The secondary beam will be computed as a continues beam, with design
s ans the su orts bein the irders.,
11
II. DESIGN OF THE SECONDARY BEAM
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II.DESIGNOFTHESECONDARYBEAM
3. DIMENSIONING OF THE SECONDARY BEAM
As1 Step2 As1 Step2
A = the minimum between the reinforcements obtained
from the adjacent spans inStep 1 (here from M1 and M2)
As1 Step1 As1 Step1
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
Checking the chosen height (necessary)
MEd - maximum bending moment from the static design
bsb - from pre-dimensioningor = f() table, where 1 0.5
, in function of popt 1.2 1.8
100
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
Computation of the necessary height
,
long /2 stirrcnom
ds
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
Computation of the necessary height
max , ; , ;10
on
!!!!!!!!!!!!!!!!!! in function of the Exposure Class
,
2025
durability
and Structural class (Ch. 4.4 )
, 10 25
hsb = M x 50 mm and then verification hsb/bsb =1,5 3,0 ???
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
If
OK, ,If
RE-CALCULATION OF THE LOADS
MOMENTS
FINALIZING THE HEIGHT OF THE SECONDARY BEAM, ,
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
simple reinforced T section
e e ec ve w o e ange eff , epen s on e we an ange
dimensions, the type of loading, the span, the support conditions and the
transverse reinforcement.
The effective width of the flange (beff ) should be based on the distance 0between points of zero moment.
(B) (B) (B)
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
simple reinforced T section
beff
, , , , 0 , 0,
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
simple reinforced T section
Table method
/
/
If > lim re-dimensioning of the section
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
(SR EN 1992-1-1/ Ch. 9 and P100/1-2006, Ch.5)
- or non-se sm c zones, . .
- for seismic zones (b = bw), 0.50 0.0013
- according to P100/1-2006, .
14
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
(SR EN 1992-1-1/ Ch. 9 and P100/1-2006, Ch.5)
- At the edge of the beam
, 15%,- Anchorage of bottom reinforcement at end support- Anchorage at intermediate supports
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
>0.3lo >0.3lo >0.3lo
~10cm ~10cm ~10cm
l10d
lbdmin2
28secondary
min2
lbd min2
min2
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
(ch. 8.4.4) 12345, ,
,
/4/
4
for anchorages in compression, . ,, 0.6, ;10;100
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
double reinforced rectangular cross section
s1 unknown
As2
(reinforcementfromthespan)
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
double reinforced rectangular cross section
ITISTHE MINIMUMIs calculated
- If > re-dimensionin of the section
2
EFFECTIVEAREA !!!
- If a < 0 1
- If 0 < < , from As1 = Aa + As2
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
Computation the shear resistance of concrete
1/3 3/2 1/2 , , .
, . 1 2.00
0.02
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
If minimum shear reinforcement will be provide,
, 0.08
, 0.751 300
For providing of double-arm stirrups 400
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
If is imposed = 45o (crack),
= 90o (stirrups)
where z0,9d
choose Asw = n xsw snec
and then must be verified if
II.DESIGNOFTHESECONDARYBEAM
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3. DIMENSIONING OF THE SECONDARY BEAM
DETAILING RULES
To have a ductile failure , ,
. 1Where 1 0.6 1 250
III.DESIGNOFSLABDEFLECTION
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1. DESIGN OF SLAB DEFLECTIONS Axis VM
Permanent loads applied simultaneously
Variable loads applied in chess and/or strips
Design combination in SLS in conformity of CR 0, ch. 4.4:
1,1 ,1 2, ,