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Thiết kế nâng cao bê tông cốt thép (tiếng anh)

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CE 5510 - 2004

Advanced Structural
Concrete Design

CE 5510 - 2004

Flat Slab System
• Column Heads
• Division of Panels
• Deflection
• Crack Control
• Shear
• Arrangement of Reinforcement

CE 5510 - 2004

Class Objectives
•Identify the types of slab construction, summarizing
the advantages and disadvantages of each
•Explain the methods of analysis of slabs
•Determine the design moments of one-way and two way
slabs
•Design of flat slabs covering:
division into strips, edge and corner columns,
punching shear and provision of shear
reinforcement

CE 5510 - 2004

Recommended Reading
• James G. MacGregor, “REINFORCED CONCRETE:

Mechanics and Design”, 3rd Ed., Prentice-Hall,
1997, Ch. 13 and 14.
• Allen, A. H., “REINFORCED CONCRETE DESIGN
TO BS8110 SIMPLY EXPLAINED”, E&FN Spon,
London 1988, Ch. 14

•The next few slides are from the Reinforced Concrete Council

CE 5510 - 2004

Types of slabs

CE 5510 - 2004

CE 5510 - 2004

CE 5510 - 2004

Flat Slab

CE 5510 - 2004

CE 5510 - 2004

CE 5510 - 2004

Analysis of Slabs

course

CE 5510 - 2004

One-way spanning slab

CE 5510 - 2004

Simplified

CE 5510 - 2004

Two way action – A rectangular panel
supported on all four side
• Curvature more severe along lx
• Moment is short span higher
• Evaluation of moment is
complex as behaviour is
highly indeterminate

CE 5510 - 2004

Consider two strips AB and ED at mid-span.
Deflection at central point C is the same.
Deflection of udl beam =

5wl 4
384EI

∆ = kwl

4

CE 5510 - 2004

∆AB = k nAB ly4
∆DE = k nDE lx4
nAB and nDE are portions of total load intensity transferred to AB and
DE respectively.
Since ∆AB = ∆DE ,

n AB

4
x

wl
= 4 4
l y + lx

nDE =

wl

4
y

l +l
4
y

4
x

CE 5510 - 2004

nDE > nAB
Shorter span strip, DE, supports heavier portion of load
and is subject to larger moment.
Assumption – supports are unyielding
If the supports of the single panel is flexible, e.g. beams,
columns, etc. the distribution of moment is more
complex.
Degree of stiffness of yielding support determines the
intensity of the steepness of the curvature contours in the
lx and ly direction and redistribution of moments.

CE 5510 - 2004

Two-way spanning slab

CE 5510 - 2004

CE 5510 - 2004

Mid Span
Moments
- corner supported

CE 5510 - 2004

Approximate
moment in
one direction
in slabs
supported on
columns at
corners

CE 5510 - 2004

Midspan
moment
- edge
supported

CE 5510 - 2004

Approximate
distribution of
moment in one
direction in
slabs with
symmetrical
supports...
CE 5510 - 2004
Advanced Structural
Concrete Design
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