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Introduction to Prestressing
CE 572
Purdue University
School of Civil Engineering
Julio Ramirez
CE572/Spring 04/JAR 2
Definition of Prestressing
It consists of preloading the structure
before application of design loads in such
a way so as to improve its general
performance.
CE572/Spring 04/JAR 3
Objectives of Prestressing
Control or eliminate tensile stresses in the
concrete (cracking) at least up to service
load levels.
Control or eliminate deflection at some
specific load level.
Allow the use of high strength steel and
concrete.
CE572/Spring 04/JAR 4
Net Result of Prestressing
Improved performance of concrete in
“ordinary” design situations (compared to
R/C).
Extended range of application of structural
concrete (longer spans).
Innovative forms of structures.
CE572/Spring 04/JAR 5
Extended Range of Application
CE572/Spring 04/JAR 6
Examples of Structures
CE572/Spring 04/JAR 7
Partial Prestressing
Intermediate state, in which tension and
usually flexure cracking is allowed at full
service load level. Some advantages are:
- Prevents excessive camber at more
typical loads less than full service
loads.
- Reduced prestressing force (less $$$)
compared to full prestressing (zero
tensile stresses at full service load).
CE572/Spring 04/JAR 8
Applications of Prestressed
Concrete in the US and Canada –
Figure 1
About 200,000 tons of prestressing steel used in
US/Canada each year (~ ¼ of the total world
consumption)
CE572/Spring 04/JAR 9
CE572/Spring 04/JAR 10
Prestressing Methods
Pretensioning: suited for mass production.
*Video (PCI)
CE572/Spring 04/JAR 11
Prestressing Methods
Post-Tensioning: jacking against the member
and the eccentricity is easily varied along the
length of the member.
CE572/Spring 04/JAR 12
Post-Tensioning Sequence
Place reinforcing cage and post-tensioning ducts
inside the formwork.
After casting and curing of the concrete, the
tendons are tensioned and anchored with
special jacks that react against the member.
Unless unbonded tendons are being used, the
duct is then grouted to complete the post-
tensioning operation.
Slides (PTI)-------
CE572/Spring 04/JAR 13
Profiles of Post-Tensioned Tendons
CE572/Spring 04/JAR 14
Geometry of Parabolic Profiles
CE572/Spring 04/JAR 15
Location and Eccentricity of
Tendon in Duct After Stressing
CE572/Spring 04/JAR 16
Materials: Types of Prestressing
Steel
CE572/Spring 04/JAR 17
Production of Seven Wire Strand
Low relaxation versus stress-relieved
CE572/Spring 04/JAR 18
CE572/Spring 04/JAR 19
CE572/Spring 04/JAR 20
Concrete
CE572/Spring 04/JAR 21
Hognestad Parabola
fc ε( ) fcmax 2
ε
εo
⋅






ε
εo






2
−






⋅






:=
Calculate εo (strain corresponding to peak stress, fcmax)
using the secant Modulus of Elasticity at 0.5fcmax. Thus, fit
The Hognestad expression through a point corresponding to
0.5fcmax and 0.5fcmax/Ec.
Ec 57000
2
fcmax( )
1000
⋅:=

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