Design of prestressed Concrete flat slabs.pdf
The South African Institution of Civil Engineering
Postnet- Suite 81
Private bag X65
Halfway House 1685
South Africa
This Report is intended to serve as a manual of good practice for the design of prestressed concrete flat slabs..
In addition to the recommended procedures, other methods are described for the sake of completeness and to compare
different methods of design.
The Report was produced by a sub-committee of the Joint Structural Division of the South African Institution of Civil
Engineers, and the Institution of Structural Engineers.
PRESTRESSED CONCRETE FLAT SLABS
1.0 Introduction
In 1989 the Structural Division of the South African Institution of Civil Engineers created a sub-committee to examine
the design of prestressed concrete flat slabs. It was found that a certain amount of poor design was prevalent, and the
committee decided to produce a booklet of recommendations for good practice.
The matter was considered especially important because the South African Loading Code was changed with effect from
1990, and the required factor on D.L. is now 1.2, whereas it was previously 1.4. This has the effect of reducing
reinforcement areas, and cracking and deflection require more attention. To make allowance for this, SABS 0100 was
revised, and among other changes, the allowable concrete shear stress was reduced by 10 percent, to lessen the probability
of brittle shear failures.
1.1 Flat Slabs
Flat slabs were originally invented in the USA at the beginning of this century, and there were a number of patented
systems.
The early reinforced concrete flat slabs all had drops, and columns with capitals, and were considered to be the structure
of choice for warehouse construction and heavy loads. Because of the columns capitals and drops, shear was not really a
problem.
Design was based on tests on stresses in reinforcement at working loads, and the early codes required a total moment in
a span of WL2/11.
It was realized that statically a total moment of about WL2/8 was required for equilibrium, (If the column diameter is D,
the statically required moment is (very closely) W(L-2D/3)2/8 where L-2D/3 is the effective span. The difference between
WL2/11 and WL2/8 was attributed to a mystical '2 way action'. In fact it was due partly to tensile stresses in the concrete
and partly to arching effects reducing the measured stress in the reinforcement.
The philosophy, and the empirical coefficients, persisted until the 1950's when the allowable stresses in reinforcement
were increased, limit state design was introduced, and the statically required moment of WL2/8 was introduced into the
codes. This was because it was felt that it was not safe to rely on arching or tensile strength of the concrete. In addition
to the changed moment coefficients, the frame method of analysis was required in certain cases.
1.2 Flat Plates
Flat plates were subsequently developed, with no drops and no column capitals/
Design of prestressed Concrete flat slabs.pdf
The South African Institution of Civil Engineering
Postnet- Suite 81
Private bag X65
Halfway House 1685
South Africa
This Report is intended to serve as a manual of good practice for the design of prestressed concrete flat slabs..
In addition to the recommended procedures, other methods are described for the sake of completeness and to compare
different methods of design.
The Report was produced by a sub-committee of the Joint Structural Division of the South African Institution of Civil
Engineers, and the Institution of Structural Engineers.
PRESTRESSED CONCRETE FLAT SLABS
1.0 Introduction
In 1989 the Structural Division of the South African Institution of Civil Engineers created a sub-committee to examine
the design of prestressed concrete flat slabs. It was found that a certain amount of poor design was prevalent, and the
committee decided to produce a booklet of recommendations for good practice.
The matter was considered especially important because the South African Loading Code was changed with effect from
1990, and the required factor on D.L. is now 1.2, whereas it was previously 1.4. This has the effect of reducing
reinforcement areas, and cracking and deflection require more attention. To make allowance for this, SABS 0100 was
revised, and among other changes, the allowable concrete shear stress was reduced by 10 percent, to lessen the probability
of brittle shear failures.
1.1 Flat Slabs
Flat slabs were originally invented in the USA at the beginning of this century, and there were a number of patented
systems.
The early reinforced concrete flat slabs all had drops, and columns with capitals, and were considered to be the structure
of choice for warehouse construction and heavy loads. Because of the columns capitals and drops, shear was not really a
problem.
Design was based on tests on stresses in reinforcement at working loads, and the early codes required a total moment in
a span of WL2/11.
It was realized that statically a total moment of about WL2/8 was required for equilibrium, (If the column diameter is D,
the statically required moment is (very closely) W(L-2D/3)2/8 where L-2D/3 is the effective span. The difference between
WL2/11 and WL2/8 was attributed to a mystical '2 way action'. In fact it was due partly to tensile stresses in the concrete
and partly to arching effects reducing the measured stress in the reinforcement.
The philosophy, and the empirical coefficients, persisted until the 1950's when the allowable stresses in reinforcement
were increased, limit state design was introduced, and the statically required moment of WL2/8 was introduced into the
codes. This was because it was felt that it was not safe to rely on arching or tensile strength of the concrete. In addition
to the changed moment coefficients, the frame method of analysis was required in certain cases.
1.2 Flat Plates
Flat plates were subsequently developed, with no drops and no column capitals/
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This presentation was made to help designers who work in publishing houses or format books for printing ensure quality.
Quality control is vital to every industry. This is why every department in a company need create a method they use in ensuring quality. This, perhaps, will not only improve the quality of products and bring errors to the barest minimum, but take it to a near perfect finish.
It is beyond a moot point that a good book will somewhat be judged by its cover, but the content of the book remains king. No matter how beautiful the cover, if the quality of writing or presentation is off, that will be a reason for readers not to come back to the book or recommend it.
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· Social media is the place for search, sales, and service
· Authentic influencer partnerships fuel brand growth
· The strongest connections happen via call, click, chat, and camera.
· Time saved with AI leads to more creative work
· Seeking: A single source of truth
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Post-Tensioned Concrete in Buildings.pdf
1. Post
Post-
-Tensioned Concrete in
Tensioned Concrete in
Buildings
Buildings
A 40+ Year Overview
A 40+ Year Overview
By
Ken Bondy
ACI Fall Convention
San Francisco, October 2004
2. 41 Years Ago…
41 Years Ago…
It was the fall of 1963
It was the fall of 1963
I was 23 years old
I was 23 years old
I had completed my MSCE course work at
I had completed my MSCE course work at
UCLA
UCLA
I was almost finished with my thesis
I was almost finished with my thesis
I was being supported by my wife and my
I was being supported by my wife and my
meager Teaching Assistant salary
meager Teaching Assistant salary
All things considered, it was time to…..
All things considered, it was time to…..
4. Out Came the Yellow Pages
Out Came the Yellow Pages
Any structural firms hiring in the San
Any structural firms hiring in the San
Fernando Valley?
Fernando Valley?
One was, and they hired me!!!
One was, and they hired me!!!
Their name was…..
Their name was…..
5. T. Y. Lin and Associates
T. Y. Lin and Associates
6. Exciting Time for P/T Concrete
Exciting Time for P/T Concrete
Had been used in buildings for only a few
Had been used in buildings for only a few
years
years
–
– Mostly in lift
Mostly in lift-
-slab construction
slab construction
Prestressed concrete had just been
Prestressed concrete had just been
introduced into ACI Building Code (1963)
introduced into ACI Building Code (1963)
for first time
for first time
In the next 41 years my career spanned
In the next 41 years my career spanned
every major landmark in the development
every major landmark in the development
of p/t concrete in buildings
of p/t concrete in buildings
7. Thanks to Lift
Thanks to Lift-
-Slabs!!
Slabs!!
US post
US post-
-tensioning industry owes its
tensioning industry owes its
existence to lift
existence to lift-
-slab construction
slab construction
First lift
First lift-
-slab buildings in the US were built
slab buildings in the US were built
in the mid 1950s using non
in the mid 1950s using non-
-prestressed
prestressed
slabs
slabs
Problems with deflections and slab weight
Problems with deflections and slab weight
in long 2
in long 2-
-way spans
way spans
To solve deflection and weight problems,
To solve deflection and weight problems,
lift
lift-
-slab companies changed to post
slab companies changed to post-
-
tensioned slabs
tensioned slabs
8. No Existing U.S. P/T Systems
No Existing U.S. P/T Systems
Lift
Lift-
-slab companies went to Europe for help
slab companies went to Europe for help
Most existing hardware was for
Most existing hardware was for multistrand
multistrand
tendons in bridges
tendons in bridges
Only European system feasible for building
Only European system feasible for building
construction was the BBRV “button
construction was the BBRV “button-
-headed”
headed”
tendon system
tendon system
Each lift
Each lift-
-slab company returned with a
slab company returned with a
license to market the button
license to market the button-
-headed tendon
headed tendon
system
system
Some “independent” companies (
Some “independent” companies (Prescon
Prescon,
,
Ryerson, others) also obtained BBRV
Ryerson, others) also obtained BBRV
licenses.
licenses.
10. P/T Solved Deflection Problems
P/T Solved Deflection Problems
But BBRV Tendons Created Others
But BBRV Tendons Created Others
Both stressing and dead
Both stressing and dead-
-end anchors
end anchors
attached in the factory
attached in the factory
Required exact length
Required exact length
Required stressing pockets to cover shims
Required stressing pockets to cover shims
Bulky and expensive couplers when
Bulky and expensive couplers when
intermediate stressing required
intermediate stressing required
11. Strand P/T System Introduced in 1962
Strand P/T System Introduced in 1962
Developed by Ed Rice (president of T.Y.
Developed by Ed Rice (president of T.Y.
Lin & Associates)
Lin & Associates)
Introduced by Atlas Prestressing Corp.
Introduced by Atlas Prestressing Corp.
Did not require precise length
Did not require precise length
–
– Tendons could be cut several feet longer than
Tendons could be cut several feet longer than
concrete length
concrete length
Did not require stressing pockets
Did not require stressing pockets
Did not require couplers (intermediate
Did not require couplers (intermediate
“slide
“slide-
-on” anchors)
on” anchors)
13. Relied on Tensile Strength of
Relied on Tensile Strength of
Concrete
Concrete
Many breakouts occurred, particularly in
Many breakouts occurred, particularly in
lightweight concrete
lightweight concrete
Atlas field superintendent (Tom Anderson)
Atlas field superintendent (Tom Anderson)
suggested chaining anchors together
suggested chaining anchors together
Led to award
Led to award
–
– Recognized Tom’s contributions
Recognized Tom’s contributions
–
– Recognized subsequent contributions of other
Recognized subsequent contributions of other
Atlas employees
Atlas employees
19. Bearing Anchor in Use
Bearing Anchor in Use
SOG application
SOG application
(largest US use
(largest US use
of p/t)
of p/t)
Tendon shown
Tendon shown
is encapsulated
is encapsulated
20. Strand System vs. Button
Strand System vs. Button-
-Head
Head
System
System
Atlas
Atlas vs
vs everybody else
everybody else
–
– Prescon
Prescon
–
– Ryerson
Ryerson
–
– Western Concrete Structures
Western Concrete Structures
After fierce 5
After fierce 5-
-6 year struggle, Atlas wins
6 year struggle, Atlas wins
battle of marketplace by late 1960s
battle of marketplace by late 1960s
Button
Button-
-headed tendons became extinct
headed tendons became extinct
Virtually all building p/t has been with
Virtually all building p/t has been with
strand tendons ever since.
strand tendons ever since.
21. What Happened to Lift
What Happened to Lift-
-Slabs?
Slabs?
Lifting companies
Lifting companies combined
combined lifting and
lifting and
tendons in their bids
tendons in their bids
–
– Excluded independent p/t companies (like
Excluded independent p/t companies (like
Atlas Prestressing Corp.)
Atlas Prestressing Corp.)
Independent p/t companies couldn’t bid on
Independent p/t companies couldn’t bid on
lift
lift-
-slab jobs
slab jobs
What did we do…..???
What did we do…..???
23. Direct Competition
Direct Competition
Joint promotion between p/t companies
Joint promotion between p/t companies
and flying form companies allowed direct
and flying form companies allowed direct
competition with lifted buildings
competition with lifted buildings
Cast
Cast-
-in
in-
-place p/t buildings using large
place p/t buildings using large-
-
panel flying form systems were highly
panel flying form systems were highly
competitive with lifted buildings
competitive with lifted buildings
By late 1960s
By late 1960s c.i.p
c.i.p. buildings became
. buildings became
preferred and lift
preferred and lift-
-slab buildings became
slab buildings became
rarely used.
rarely used.
24. Short
Short-
-Sighted?
Sighted?
If lift
If lift-
-slab companies had not originally
slab companies had not originally
tried to exclude independent p/t
tried to exclude independent p/t
companies
companies
Lift
Lift-
-slab construction would be a
slab construction would be a
significant factor in today’s medium
significant factor in today’s medium-
-rise
rise
building market.
building market.
25. Landmarks in P/T Buildings
Landmarks in P/T Buildings
Introduction of strand systems
Introduction of strand systems
–
– Replaced “button
Replaced “button-
-head” tendon system
head” tendon system
Development of ductile iron castings for
Development of ductile iron castings for
single
single-
-strand tendons
strand tendons
Introduction of “load
Introduction of “load-
-balancing” design
balancing” design
method
method
Introduction of “banded” tendon layout for
Introduction of “banded” tendon layout for
2
2-
-way slab systems
way slab systems
Formation of Post
Formation of Post-
-Tensioning Institute
Tensioning Institute
Improvements in corrosion resistance
Improvements in corrosion resistance
26. Most Important Single Development
Most Important Single Development
The introduction of the “load
The introduction of the “load-
-balancing”
balancing”
design method by T.Y. Lin in 1963
design method by T.Y. Lin in 1963
T.Y. wasn’t the first to use it but did more
T.Y. wasn’t the first to use it but did more
than any other individual to explain it and
than any other individual to explain it and
disseminate information about it.
disseminate information about it.
Made the design of prestressed concrete
Made the design of prestressed concrete
as easy as the design of non
as easy as the design of non-
-prestressed
prestressed
concrete
concrete
27. Promotion of P/T in Buildings
Promotion of P/T in Buildings
Atlas Prestressing Corp. recognized in mid
Atlas Prestressing Corp. recognized in mid
1960s that the most effective way to
1960s that the most effective way to
increase the market for p/t was…
increase the market for p/t was…
…to teach engineers how to design it
…to teach engineers how to design it
…and to assist them in their designs
…and to assist them in their designs
With this marketing philosophy, Atlas grew
With this marketing philosophy, Atlas grew
from smallest to largest p/t firm in less
from smallest to largest p/t firm in less
than ten years.
than ten years.
28. Seminars
Seminars
Atlas sponsored over 100 one
Atlas sponsored over 100 one-
-day design
day design
seminars between 1965 and 1976
seminars between 1965 and 1976
Held in most major US cities and in
Held in most major US cities and in
western Europe
western Europe
Attended by more than 2000 practicing
Attended by more than 2000 practicing
engineers
engineers
Often resulted in p/t building within 6
Often resulted in p/t building within 6
months of seminar
months of seminar
29. Building Codes
Building Codes
Post
Post-
-tensioning virtually absent from ACI
tensioning virtually absent from ACI
318
318-
-71 (“ignore secondary moments”)
71 (“ignore secondary moments”)
ACI 318
ACI 318-
-77 and 83 were greatly improved
77 and 83 were greatly improved
–
– Reflected testing at Texas and Washington
Reflected testing at Texas and Washington
–
– Banded tendon distribution
Banded tendon distribution
–
– Minimum bonded reinforcement requirements
Minimum bonded reinforcement requirements
–
– More attention to indeterminate structures
More attention to indeterminate structures
Codes have continued to improve with
Codes have continued to improve with
more p/t expertise on ACI committees
more p/t expertise on ACI committees
30. Formation of PTI
Formation of PTI
Post
Post-
-tensioning was represented as a
tensioning was represented as a
division within PCI in late 1960s through
division within PCI in late 1960s through
mid 1970s
mid 1970s
PTI formed as an independent institute in
PTI formed as an independent institute in
1976
1976
PTI gives contractors and engineers a
PTI gives contractors and engineers a
single unified source and voice for p/t
single unified source and voice for p/t
design and construction information
design and construction information
Establishes a standard of care in many
Establishes a standard of care in many
areas of design and construction
areas of design and construction
35. 3 Days per Floor
3 Days per Floor
Place slab concrete on Monday morning
Place slab concrete on Monday morning
–
– Walls and columns are two lifts above
Walls and columns are two lifts above
Stress tendons on Tuesday morning
Stress tendons on Tuesday morning
–
– Oversize anchors (4x6) to permit stressing at
Oversize anchors (4x6) to permit stressing at
1,500 psi
1,500 psi –
– achieved in 24 hours
achieved in 24 hours
Fly forms on Tuesday afternoon
Fly forms on Tuesday afternoon
Install tendons and rebar on Wednesday
Install tendons and rebar on Wednesday
–
– Placed through sleeves in walls and columns
Placed through sleeves in walls and columns
Place slab concrete on Thursday morning
Place slab concrete on Thursday morning
36.
37. Banded Tendons in 2
Banded Tendons in 2-
-Way Slabs
Way Slabs
First used in the most famous post
First used in the most famous post-
-
tensioned concrete building ever built…
tensioned concrete building ever built…
39. Basket
Basket-
-Weave Tendon Layout for
Weave Tendon Layout for
2
2-
-Way Slabs
Way Slabs
Some in “column
Some in “column-
-strips”
strips”
Some in “middle strips”
Some in “middle strips”
Tendons were “draped” in curved vertical
Tendons were “draped” in curved vertical
profile
profile
–
– High at column lines
High at column lines
–
– Low at midspans
Low at midspans
A single tendon profile had some
A single tendon profile had some
orthogonal tendons above it and some
orthogonal tendons above it and some
below it
below it
41. Sequencing
Sequencing
Detailer had to find the single tendon
Detailer had to find the single tendon
which was below all other tendons
which was below all other tendons
–
– Sequence #1
Sequence #1
Then had to find tendon in perpendicular
Then had to find tendon in perpendicular
direction which was below all remaining
direction which was below all remaining
tendons
tendons
–
– Sequence #2
Sequence #2
Typical slab would have 30
Typical slab would have 30-
-40 sequence
40 sequence
numbers
numbers
42.
43. Tendons Had to be Installed in
Tendons Had to be Installed in
Sequence
Sequence
Any errors in placing sequence resulted in
Any errors in placing sequence resulted in
“birds
“birds-
-nest” when chaired
nest” when chaired
44. Back to Watergate…
Back to Watergate…
In the Watergate building, columns didn’t
In the Watergate building, columns didn’t
line up in either direction
line up in either direction
Spans were short (22’ max) but
Spans were short (22’ max) but colums
colums
were located where they could be hidden
were located where they could be hidden
with no regard to a grid system
with no regard to a grid system
Column/middle strip concept meaningless
Column/middle strip concept meaningless
Load path virtually impossible to follow
Load path virtually impossible to follow
45. Slab Design Engineers
Slab Design Engineers
(T.Y. Lin and Atlas Prestressing Corp.)
(T.Y. Lin and Atlas Prestressing Corp.)
Conceived the load path as a one
Conceived the load path as a one-
-way
way
slab
slab
Developed a tendon layout where all of the
Developed a tendon layout where all of the
tendons in one direction were placed in a
tendons in one direction were placed in a
narrow “bent” band connecting columns
narrow “bent” band connecting columns
All of the tendons in the orthogonal
All of the tendons in the orthogonal
direction were uniformly distributed.
direction were uniformly distributed.
Load path was easy to follow, like in a
Load path was easy to follow, like in a
one
one-
-way beam and slab system
way beam and slab system
46. It Worked!
It Worked!
And it resulted in a significant savings in
And it resulted in a significant savings in
labor costs
labor costs
–
– Eliminated tendon sequencing
Eliminated tendon sequencing
–
– All band tendons installed first
All band tendons installed first
–
– All uniform tendons installed next
All uniform tendons installed next
Has become standard method for tendon
Has become standard method for tendon
layout in 2
layout in 2-
-way slabs
way slabs
–
– Hundreds of millions of square feet in service
Hundreds of millions of square feet in service
–
– Behavior studied and verified in numerous
Behavior studied and verified in numerous
laboratory tests
laboratory tests
52. Problems
Problems
Restraint
Restraint-
-to
to-
-shortening
shortening
–
– Mechanics of RTS different in prestressed
Mechanics of RTS different in prestressed
and non
and non-
-prestressed members
prestressed members
–
– Engineers had to learn how to design p/t floor
Engineers had to learn how to design p/t floor
systems with levels of cracking normally
systems with levels of cracking normally
accepted in non
accepted in non-
-prestressed floor systems
prestressed floor systems
–
– Methods
Methods
Joinery details
Joinery details
Non
Non-
-prestressed reinforcement
prestressed reinforcement
53. Biggest Problem
Biggest Problem
Tendon Corrosion
Tendon Corrosion
–
– Early sheathing and grease were inadequate
Early sheathing and grease were inadequate
for aggressive corrosion environments
for aggressive corrosion environments
Material specifications developed by PTI
Material specifications developed by PTI
have largely solved early corrosion
have largely solved early corrosion
problems
problems
–
– Improvements in sheathing material, coatings,
Improvements in sheathing material, coatings,
complete encapsulation
complete encapsulation
54. The Future
The Future
Strengthening existing buildings with
Strengthening existing buildings with
externally applied p/t tendons
externally applied p/t tendons
Tall concrete buildings
Tall concrete buildings
65. Tall Buildings
Tall Buildings
P/T reduces weight of floor systems
P/T reduces weight of floor systems
High
High-
-strength concrete makes column
strength concrete makes column
sizes reasonable
sizes reasonable
Advantages
Advantages
–
– Cost
Cost
Exposed exterior frame beams and columns
Exposed exterior frame beams and columns
–
– Fire and blast resistance
Fire and blast resistance
–
– Sound and vibration
Sound and vibration