Chapter VII

Post-Tensioning and Prestressing Systems

Red Seal Practice study guide with diagrams.

Post-Tensioning and Prestressing Systems

Module Introduction

This chapter covers post-tensioning and prestressing systems used to reinforce concrete structures. For the Red Seal exam, you must understand not only the theoretical principles, but also the installation procedures, tolerances, elongation calculations, and safety requirements specific to this specialized trade. This module represents approximately 5 to 8% of the exam questions for the reinforcing steel (rebar) trade.


1. Fundamental Principles of Prestressing

1.1 Definition and Purpose

Prestressing is a technique that involves applying an initial compression to concrete before it is subjected to service loads. This pre-compression cancels out or reduces the tensile stresses that would otherwise appear in the concrete, a material naturally weak in tension.

Prestressed concrete is divided into two main families:

CharacteristicPre-tensioningPost-tensioning
Timing of tensioningBefore concrete placementAfter concrete curing
AnchorageDirect steel-concrete bondMechanical anchorages at ends
Manufacturing sitePlant (precast)Job site (cast-in-place)
TendonsStraight strands onlyStraight or curved (profiled) strands
DuctNone (bare steel)Metal or plastic duct
Re-tensioningNot possiblePossible (re-stressing)

For the reinforcing steel installer, post-tensioning is the most relevant method, as it is performed on the job site and involves handling ducts, strands, and hydraulic jacks.

1.2 Essential Terminology

Strand: A 7-wire high-strength steel cable (Ø 12.7 mm or 15.24 mm), ultimate strength of 1860 MPa.
Duct: A corrugated metal or plastic tube through which the strand slides.
Active anchorage: The end component where the jack applies tension.
Passive anchorage: The fixed end component, often embedded in the concrete.
Anchorage wedges: Conical wedges that grip the strand after the jack is released.
Elongation: The stretching of the strand under tension, measured in millimetres.
Stressing: The operation of applying the tensile force.
Lock-off loss: Force loss due to wedge seating during release.

1.3 Applicable Canadian Standards

The Canadian regulatory framework for post-tensioning is as follows:

CSA A23.3Design of Concrete Structures (prestressing chapter).
CSA A23.1/A23.2Concrete: Materials and Methods of Construction / Test Methods.
CSA G30.18Steel Strand for Prestressed Concrete.
CSA S16Design of Steel Structures (for steel anchorage components).
National Building Code of Canada (NBCC) — general load requirements.

Duct installation tolerances are generally specified in the engineering drawings, but CSA A23.1 requires precise alignment to ±10 mm in vertical and horizontal position, unless otherwise indicated.


2. Components of a Post-Tensioning System

2.1 Strands

Strands are manufactured from high-carbon drawn steel wires. Their ultimate tensile strength is 1860 MPa (grade 270 ksi). Common diameters are:

Nominal DiameterArea (mm²)Linear Mass (kg/m)Breaking Force (kN)
12.7 mm (1/2")98.70.775183.7
15.24 mm (0.6")140.01.102260.4

The initial tensioning force is typically 75 to 80% of the breaking force, approximately 1395 to 1488 MPa.

2.2 Ducts

Ducts have three functions: to guide the strand, to prevent bonding with the concrete, and to allow grout injection after tensioning.

Metal ducts: Corrugated galvanized steel strip (inner Ø 20 to 100 mm). The corrugation ensures mechanical bond with the concrete after grouting.
Plastic ducts: High-density polyethylene (HDPE), used for structures exposed to aggressive agents (de-icing salts). They offer additional corrosion protection.

2.3 Anchorages

Anchorages are classified according to their function:

Active anchorage (stressed): Consists of a bearing plate, anchorage cone, and wedges. The plate distributes the force onto the concrete.
Passive anchorage (fixed): A simple loop or plate with wedges, embedded in the concrete before placement.
Coupler: Allows two successive strands to be joined within the same duct.

2.4 Grout

After tensioning, ducts are grouted with a cementitious grout to:

45.Protect the strands against corrosion.
46.Ensure the steel-concrete bond (monolithic action).
47.Distribute local stresses.

The grout must have a water/cement ratio ≤ 0.45 and compensated shrinkage (expansive admixture). CSA A23.1 requires a minimum strength of 20 MPa at 7 days.


3. On-Site Installation Procedures

3.1 Duct Placement

Duct placement follows the passive reinforcement. Critical steps:

53.Layout: Trace the axis of each tendon on the formwork using templates.
54.Supporting: Secure ducts on supports (chairs) spaced 600 to 1200 mm apart to prevent any sagging.
55.Alignment: Respect the vertical and horizontal dimensions shown on the drawings. A 20 mm error can change the effective stress by 5 to 10%.
56.Sealing: Seal all joints with water-resistant tape to prevent concrete penetration.
57.End protection: Install anchorage pockets at the active ends, aligned perpendicular to the tendon axis.

Installation Tolerances (CSA A23.1):

ParameterTolerance
Vertical position±10 mm
Horizontal position±10 mm
Anchorage angle±1°
Local deviation (bend)No sharp bends < 300 mm radius

3.2 Strand Threading

Threading can be done before or after concrete placement:

Before placement: Strands are inserted into empty ducts. Advantage: simplicity. Disadvantage: corrosion risk if placement is delayed.
After placement (pulled): A pull wire is left in the duct, then strands are pulled through after curing. Advantage: empty ducts during placement, less risk of blockage.

Rule of thumb: Never thread more than 24 hours before placement, unless the strands are protected.

3.3 Stressing

Stressing is a dangerous operation that requires specialized training and a work permit. Typical procedure:

67.Preliminary verification: Check the concrete strength (generally ≥ 25 MPa, or per drawings).
68.Jack installation: The hydraulic jack is centred on the strand, and the pump is calibrated.
69.Progressive stressing: Apply the force in increments of 20% of the final force.
70.Elongation measurement: At each increment, measure the strand elongation using a graduated ruler or sensor.
71.Lock-off: At maximum force, seat the anchorage wedges, then slowly release the jack.
72.Recording: Note the final force and total elongation in the site log.

Theoretical Elongation Calculation Formula:

ΔL = (P × L) / (A × E)

Where:

ΔL = elongation (mm)
P = tension force (N)
L = free length of strand between anchorages (mm)
A = strand area (mm²)
E = modulus of elasticity (195,000 MPa for strand)

Example: Strand Ø 15.24 mm (A = 140 mm²), length L = 20,000 mm, force P = 195 kN.

ΔL = (195,000 × 20,000) / (140 × 195,000) = 3,900,000,000 / 27,300,000 = 142.9 mm

The measured elongation must be within ±5% of the theoretical value. A greater deviation indicates a problem (excessive friction, stuck strand, length error).

3.4 Grouting

Grouting must be done within 48 hours of tensioning to prevent corrosion. Procedure:

86.Purge the duct with compressed air.
87.Inject grout from the lowest point (or active end) until it flows out the highest point.
88.Maintain a pressure of 0.3 to 0.5 MPa for 1 minute after grout return.
89.Seal the vent openings.

Minimum temperature: Grout must not be injected if the ambient temperature is below 5 °C, unless protective measures are taken.


4. Calculations and Verifications

4.1 Tension Force and Stress

The initial tension force (P₀) is given by:

P₀ = 0.75 × f_pu × A

Where f_pu = ultimate strand strength (1860 MPa).

For a Ø 15.24 mm strand: P₀ = 0.75 × 1860 × 140 = 195,300 N ≈ 195 kN.

4.2 Tension Losses

Tension losses are inevitable and must be anticipated:

Type of LossCauseMagnitude
FrictionStrand-duct contact5 to 15%
Wedge seatingSlip at lock-off3 to 8 mm of elongation
Concrete shrinkageDrying2 to 5%
Concrete creepTime-dependent deformation3 to 8%
Steel relaxationMaterial property1 to 3%

Friction Formula (curvature loss):

P(x) = P₀ × e^(−μθ − kx)

Where:

μ = friction coefficient (0.15 to 0.25 for metal duct)
θ = cumulative curvature angle (radians)
k = parasitic friction coefficient (0.001 to 0.003 per metre)
x = distance from the active anchorage (m)

4.3 Elongation Verification

The measured elongation must be compared to the theoretical value. The tolerance is ±5%. If the deviation exceeds this value:

110.Check the actual strand length (possible measurement error).
111.Check the jack pressure (calibration).
112.Check friction (damaged duct, bend too tight).
113.Check the number of strands (a missing strand in the bundle).

Common trap: Elongation must be measured on the free portion of the strand, i.e., between the jack face and the anchorage. Do not include the jack length itself.


5. Site Safety

5.1 Specific Hazards

Post-tensioning presents unique risks:

Stored energy: A strand under tension contains considerable energy. A rupture can project fragments at high speed.
Danger zone: It is forbidden to stand behind the jack or in line with the strand during stressing.
Anchorage zones: Active ends must be barricaded with a minimum exclusion zone of 3 metres.
Personal protective equipment: Hard hat, safety glasses, gloves, safety boots. A face shield is required for the jack operator.

5.2 Mandatory Safety Rules

Work permit: Stressing requires a specific permit, signed by the foreman.
Training: Only trained and authorized personnel may operate the jack.
Pre-operation inspection: Check the condition of jacks, hydraulic hoses, and pressure gauges (annual calibration).
Communication: Establish a signal code between the jack operator and the supervisor.
Prohibitions: Never stand between the jack and the anchorage, and never touch a strand during tensioning.

5.3 Corrosion Protection

Ungrouted strands are susceptible to corrosion. Storage rules:

Store strands indoors, on supports, away from moisture.
Do not leave strands exposed for more than 30 days before placement.
Use plastic ducts for aggressive environments (bridges, parking structures).

6. Quality Control and Documentation

6.1 Stressing Records

Each tendon must have a stressing record containing:

Tendon number and position.
Date and time of tensioning.
Force applied (pressure gauge reading).
Elongation measured at each increment.
Ambient temperature.
Name of operator and supervisor.
Observations (anomalies, corrections).

6.2 Required Testing

Grout testing: Measure fluidity (Marsh cone), strength (cylinders), shrinkage.
Duct leak test: Before placement, blow compressed air at 0.1 MPa to check for leaks.
Dimensional control: Check duct position after placement (by coring or imaging).

6.3 Final Tolerances

ParameterTolerance
Final force±5% of specified force
Elongation±5% of theoretical value
Anchorage position±5 mm
Wedge seating±2 mm from nominal value

7. Pitfalls to Avoid

Here are the most frequent errors on the Red Seal exam on this topic:

154.Confusing pre-tensioning and post-tensioning: Pre-tensioning is done in the plant, before placement; post-tensioning is done on site, after curing.
155.Forgetting the ±5% elongation tolerance: This value is systematically asked.
156.Neglecting the friction coefficient: Friction losses can reach 15% and must be included in calculations.
157.Ignoring the danger zone: The minimum 3-metre distance behind the jack is a classic question.
158.Confusing force and stress: Force is in kN, stress is in MPa. Do not mix units.
159.Forgetting the strand modulus of elasticity: E = 195,000 MPa, not 200,000 MPa (ordinary steel).
160.Not checking concrete strength before tensioning: The minimum value is generally 25 MPa, but always check the drawings.
161.Believing grouting is optional: It is mandatory for corrosion protection, except in unbonded systems (greased ducts) specifically designed for that purpose.
162.Mixing strand diameters: 12.7 mm and 15.24 mm have different areas and forces.
163.Forgetting time-dependent losses: Shrinkage, creep, and relaxation must be mentioned in any discussion of losses.

8. Summary

Key ConceptRemember
**Definition**Post-tensioning applies compression to hardened concrete using tensioned strands mechanically anchored.
**Standards**CSA A23.3 (design), CSA A23.1 (execution), CSA G30.18 (strands).
**Strands**Ø 12.7 mm or 15.24 mm, strength 1860 MPa, initial tension 75% of ultimate.
**Ducts**Metal or plastic, watertight, aligned to ±10 mm.
**Stressing**In 20% increments, measured elongation, ±5% tolerance.
**Elongation**ΔL = (P × L) / (A × E), with E = 195,000 MPa.
**Losses**Friction (5-15%), wedge seating, shrinkage, creep, relaxation.
**Grouting**Within 48 hours, water/cement ratio ≤ 0.45, strength ≥ 20 MPa at 7 days.
**Safety**3 m exclusion zone, work permit, mandatory training.
**Documentation**Stressing record for each tendon, recording of measurements.

Exam Watch Points:

Questions often focus on tolerances (±5%, ±10 mm) and basic formulas.
Elongation calculation scenarios are common: master the formula and units.
Safety questions are systematic: know the distances and prohibitions.
Tension losses are a recurring topic: know how to classify and roughly quantify them.

Post-tensioning is a specialized field that distinguishes the qualified reinforcing steel installer from the labourer. A solid understanding of these principles will allow you not only to pass the exam, but also to perform this type of work competently and safely on the job site.

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