PGSuper  3.0
Precast-prestressed Girder Bridges
Prestress Losses (General)

The methods for predicting prestress losses have changed several times since the first edition of the LRFD Bridge Design Specifications. PGSuper supports the loss prediction methods, including refined and approximate methods, for all editions of the LRFD specifications. Some of the loss methods do not provide clear guidance for computing losses at intermediate steps such as at the time the girder is transported, or when temporary strands are removed. The information given below details how PGSuper computes the effective prestress at the various times considered during analysis.

No Temporary Strands

TimePermanent Strands
At jacking
Eq1.png
Before Prestress Transfer
Eq2.png
After Prestress Transfer
Eq3.png
At Lifting
Eq3.png
At Shipping
Eq4.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate Method
Eq7.png
After Deck Placement
Eq8.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq9.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq10.png

Approximate Method
Eq11.png
After All Losses
Eq12.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq13.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq14.png

Approximate Method
Eq13.png

Pretensioned Temporary Strands

TimePermanent StrandsTemporary Strands
At jacking
Eq1.png
Eq1.png
Before Prestress Transfer
Eq2.png
Eq2.png
After Prestress Transfer
Eq3.png
Eq3.png
At Lifting
Eq3.png
Eq3.png
At Shipping
Eq4.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate method
Eq7.png
Eq4.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate method
Eq7.png
Before Temporary Strand Removal Same as at shipping. It is conservative to assume that the girders are shipped, erected, braced, and the temporary strands are removed all in the same day. Same as at shipping. It is conservative to assume that the girders are shipped, erected, braced, and the temporary strands are removed all in the same day.
After Temporary Strand Removal
Eq16.png
After Deck Placement
Eq17.png
After all losses
Eq4.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate method
Eq7.png

Temporary Strands Post-Tensioned Before Lifting

TimePermanent StrandsTemporary Strands
At jacking
Eq1.png
Before Prestress Transfer
Eq2.png
After Prestress Transfer
Eq3.png
After Temporary Strand Installation
Eq18.png
Eq19.png
At Lifting
Eq18.png
Eq19.png
At Shipping
Eq20.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate method
Eq7.png
Eq21.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate method
Eq7.png
Before Temporary Strand Removal Same as at shipping. It is conservative to assume that the girders are shipped, erected, braced, and the temporary strands are removed all in the same day. Same as at shipping. It is conservative to assume that the girders are shipped, erected, braced, and the temporary strands are removed all in the same day.
After Temporary Strand Removal
Eq22.png
After Deck Placement
Eq23.png
After all losses
Eq4.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate method
Eq7.png

Temporary Strands Post-Tensioned After Lifting

TimePermanent StrandsTemporary Strands
At jacking
Eq1.png
Before Prestress Transfer
Eq2.png
After Prestress Transfer
Eq3.png
At Lifting
Eq3.png
After Temporary Strand Installation
Eq18.png
Eq19.png
At Shipping
Eq20.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate method
Eq7.png
Eq21.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate method
Eq7.png
Before Temporary Strand Removal Same as at shipping. It is conservative to assume that the girders are shipped, erected, braced, and the temporary strands are removed all in the same day. Same as at shipping. It is conservative to assume that the girders are shipped, erected, braced, and the temporary strands are removed all in the same day.
After Temporary Strand Removal
Eq22.png
After Deck Placement
Eq23.png
After All Losses
Eq24.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq13.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq14.png

Approximate method
Eq13.png

Temporary Strands Post-Tensioned Before Shipping

TimePermanent StrandsTemporary Strands
At jacking
Eq1.png
Before Prestress Transfer
Eq2.png
After Prestress Transfer
Eq3.png
At Lifting
Eq3.png
After Temporary Strand Installation
Eq20.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq5.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq6.png

Approximate method
Eq7.png
Eq19.png
At Shipping
Eq20.png
Eq19.png
Before Temporary Strand Removal
Eq25.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq9.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq10.png

Approximate method
Eq11.png
Eq19.png
After Temporary Strand Removal
Eq26.png
After Deck Placement
Eq27.png
After All Losses
Eq28.png

Refined Method (LRFD 3rd Edition 2004 and earlier)
Eq13.png

Refined Method (LRFD 3rd Edition 2005 and later)
Eq14.png

Approximate method
Eq13.png

Notation

N1.png
= Effective prestress
N2.png
= Stress in prestress strands at jacking
N3.png
= Relaxation loss between stressing and prestress transfer
N4.png
= Total long term relaxation loss (LRFD 3rd Edition 2004 and earlier)
Relaxation loss between release and deck placement (LRFD 3rd Edition 2005 and later)
N5.png
= Relaxation loss between release and shipping
N6.png
= Relaxation loss between deck placement and final
N7.png
= Loss due to elastic shortening
N8.png
= Time dependent losses at time of shipping
N9.png
= Total shrinkage loss (LRFD 3rd Edition 2004 and earlier)
Shrinkage loss between release and deck placement (LRFD 3rd Edition 2005 and later)
N10.png
= Total creep loss (LRFD 3rd Edition 2004 and earlier)
Creep loss between release and deck placement (LRFD 3rd Edition 2005 and later)
N11.png
= Total time dependent loss
N12.png
= Creep loss between deck placment an final
N13.png
= Shrinkage loss between deck placment an final
N14.png
= Loss due to deck shrinkage
N15.png
= elastic gain due to deck placement
N16.png
= shrinkage loss between release and shipping
N17.png
= creep loss between release and shipping
N18.png
= time dependent losses between release and deck placement
N19.png
= time dependent losses between deck placement and final
N20.png
= loss due to friction
N21.png
= loss due to anchor set
N22.png
= change in stress in permanent strands due to installation of the temporary strands
N23.png
= average change in stress in the temporary strands due to installation of subsequent temporary strands
N24.png
= change in stress in permanent strands due to removal of the temporary strands
N25.png

= fraction of final loss used at an intermediate time