Post Tension Concrete Floor Systems
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Questions and Answers

What is the maximum strain in the extreme compression fibre according to AS 3600 8.1.3?

  • 0.005
  • 0.002
  • 0.004
  • 0.003 (correct)

What is the typical range for the concrete compressive strength (f'c) used in prestressed concrete applications?

  • 25 – 40 MPa
  • 32 – 50 MPa (correct)
  • 50 – 70 MPa
  • 20 – 30 MPa

Which of the following statements about concrete's tensile strength (f'ct) is correct?

  • It is reliable for serviceability calculations.
  • It should be used as the primary strength measure in design.
  • It is equal to the concrete's compressive strength.
  • It should not be relied upon for strength. (correct)

What is the typical range of overall losses in prestressing force?

<p>15 to 30 percent (A)</p> Signup and view all the answers

What does the term Tpb refer to in the context of prestressing tendons?

<p>Tensile breaking load (D)</p> Signup and view all the answers

Which of the following is categorized as an immediate loss in prestressing?

<p>Anchorage slip (C), Friction along the member (D)</p> Signup and view all the answers

What happens to the prestressing force in a tendon after it is first tensioned?

<p>It begins to diminish immediately. (C)</p> Signup and view all the answers

Deferred losses in prestressing are characterized by which of the following?

<p>Losses occurring over the structure's lifespan (D)</p> Signup and view all the answers

Which factor does NOT contribute to immediate losses in prestressing?

<p>Stress relaxation (C)</p> Signup and view all the answers

Which method is primarily used to improve the estimation of prestressing losses?

<p>Consideration of both immediate and deferred losses (A)</p> Signup and view all the answers

What is the primary purpose of prestressing cables in a concrete structure?

<p>To balance external loads and reduce deflection (D)</p> Signup and view all the answers

What does pre-compression primarily achieve in a prestressed concrete beam?

<p>Reduces cracking and increases strength (D)</p> Signup and view all the answers

What occurs when external loads are applied to a prestressed beam?

<p>A moment couple is formed to resist the external moment (A)</p> Signup and view all the answers

How do tendons contribute to prestressed concrete structures?

<p>They apply prestress to the concrete by means of tension (B)</p> Signup and view all the answers

Which of the following accurately describes the effect of draping tendons?

<p>They create upward loads that carry a percentage of self-weight (C)</p> Signup and view all the answers

What is the characteristic value of concrete strength indicated by $f'c$?

<p>The uniaxial compression strength of test cylinders (A)</p> Signup and view all the answers

What happens to the concrete free body once the tendons are grouted?

<p>They act as an integrated whole with the concrete (B)</p> Signup and view all the answers

What is a potential effect of cracking in concrete?

<p>Decreased stiffness and increased deflection (C)</p> Signup and view all the answers

What is the main difference between pre-tensioned and post-tensioned tendons?

<p>Pre-tensioned tendons are tensioned before the concrete hardens, while post-tensioned tendons are tensioned afterward. (B)</p> Signup and view all the answers

What occurs during the bonding of tendons within a concrete structure?

<p>Cement grout is injected into the ducts after the tendons are stressed. (D)</p> Signup and view all the answers

Which system is primarily used in building structures in Australia?

<p>Post-tensioned system (B)</p> Signup and view all the answers

What is a characteristic of unbonded tendons?

<p>They are allowed under AS 3600 for specialized applications. (C)</p> Signup and view all the answers

What does the term 'multi-strand' refer to in anchorage systems?

<p>Multiple strands that are jacked together and stressed simultaneously. (A)</p> Signup and view all the answers

What is one limitation of unbonded tendons according to the regulatory standards?

<p>They are not allowed except for slabs on the ground. (D)</p> Signup and view all the answers

What property of bonded tendons is essential for their ultimate load-bearing capability?

<p>They must be able to develop further stresses under bending actions. (C)</p> Signup and view all the answers

What type of ducts contain post-tensioned tendons?

<p>Metal ducts (D)</p> Signup and view all the answers

What is a characteristic feature of a one way slab system?

<p>Supported on walls or narrow beams (D)</p> Signup and view all the answers

Which type of slab system is characterized by being supported on four sides?

<p>Two way slabs (B)</p> Signup and view all the answers

What is the typical depth range of bands in one way slab systems compared to the slabs themselves?

<p>100-200mm deeper (D)</p> Signup and view all the answers

What type of prestressing strands are used in slab systems for high tensile strength?

<p>Up to 1870 MPa (D)</p> Signup and view all the answers

What happens to a portion of the prestress in slab systems due to material behavior?

<p>It is lost due to concrete creep and shrinkage (B)</p> Signup and view all the answers

What is the significance of the span to depth (L/D) ratio in schematic design?

<p>It is used for preliminary sizing of structural members. (C)</p> Signup and view all the answers

Why must cables in continuous beams follow a minimum practical radius?

<p>To ensure smooth transitions for ducts and tendons. (A)</p> Signup and view all the answers

What distinguishes two way flat slabs from two way slabs?

<p>They have drop panels (A)</p> Signup and view all the answers

In which region of a prestressed beam is shear cracking most prevalent?

<p>Region C (C)</p> Signup and view all the answers

What should be considered along with the design of a one way slab across band beams?

<p>Additional moments at the change of section (C)</p> Signup and view all the answers

Which of the following is NOT a type of slab system mentioned?

<p>Tensioned slab systems (D)</p> Signup and view all the answers

What type of cracking is characterized by both moment and shear influences?

<p>Flexure-shear cracking (B)</p> Signup and view all the answers

What problem arises from idealized parabolic cable profiles in practical application?

<p>Cables form a point without effective support. (D)</p> Signup and view all the answers

What cracking pattern results from torsion in beams?

<p>Diagonalized pattern of cracking (C)</p> Signup and view all the answers

How does the addition of depth near supports benefit structural performance?

<p>Assists in managing unbalanced live load cases. (D)</p> Signup and view all the answers

Which duct type is easier to profile in beam and slab designs?

<p>Flat ducts (A)</p> Signup and view all the answers

Flashcards

Pre-stressed concrete

Concrete that has been stressed before use, both concrete and tendons

Pre-tensioned tendons

Tendons stressed in a casting bed before concrete pouring

Post-tensioned tendons

Tendons positioned in concrete ducts and stressed after concrete is strong.

Bonded tendons

Tendons grouted into their ducts, bonded to concrete like steel.

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Unbonded tendons

Tendons not grouted, greased for corrosion, and contained in a plastic sheath.

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Cable (in context of concrete)

Groups of tendons in ducts or anchorage.

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Mono-strand

Individual strands that are stressed separately.

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Multi-strand

Multiple strands that are stressed together.

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Concrete strain limit

Concrete's maximum strain in extreme compression fibers is 0.003. At this point, concrete strength starts to decrease significantly.

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Concrete Strength (Prestressing)

Typical concrete strength in prestressed applications is 32-50 MPa.

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Time-Dependent Concrete Strain

Concrete strain changes over time due to creep and shrinkage.

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Tensile Strength (Concrete)

Concrete has a characteristic tensile strength (f'ct) used in some serviceability calculations, but not for strength.

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Prestressing Tendon Breaking Stress

The characteristic breaking strength (fbp) of prestressing tendons is actually a breaking stress, and sometimes denoted by Tpb for breaking load.

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Prestressed Structure

A structure where cables are pre-compressed to balance the slab load.

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Pre-compression

Compressing cables in a structure before adding external loading.

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Load Balancing

Distributing loads evenly within a structure to improve strength and deflection.

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Tendons

Cables in a prestressed structure that apply pre-stress to the structure.

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Cracking and Deflection

Cracks and bending deformation caused by external loading, aggravated by lack of pre-compression.

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Concrete Strength (f’c)

The uniaxial compressive strength of concrete test cylinders. A minimum value that 95% of test samples must meet.

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Internal Couple

Forces in a structure creating a moment to resist external moments.

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Grouted Tendons

Tendons embedded in concrete, working together as a single unit.

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Prestress Losses

The reduction in the initial prestressing force in a concrete structure over time.

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Immediate Losses

Losses that occur during the initial prestressing process, before the concrete hardens.

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Deferred Losses

Losses that occur gradually over the lifetime of the structure after the concrete has hardened.

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Elastic Compression

The elastic compression of concrete immediately after applying the prestressing force.

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Duct Friction

Friction between the prestressing tendons and the ducts they pass through.

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Two-way slab

A concrete slab supported on four sides, often used in building cores.

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One-way slab

A concrete slab supported on two opposite sides, acting like a continuous beam.

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Band beam

A wider beam used to support one-way slabs, often deeper than the slab itself.

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Drop panel

A thickened area in the middle of a flat slab, designed to increase the slab's strength.

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Creep deformation

The gradual increase in a structure's deformation over time due to sustained load.

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Shrinkage

The reduction in size of concrete over time, primarily due to the loss of moisture.

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Higher strength concrete

Concrete with a higher compressive strength, allowing for greater load bearing capacity.

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Span to Depth Ratio (L/D)

The ratio of the span length (L) of a beam to its overall depth (D). It's a fundamental parameter for preliminary member sizing in structural design.

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Practical Tendon Profile

The actual, non-ideal shape of prestressing tendons in a beam, incorporating a minimum radius at the support for smooth transition instead of a sharp point.

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Ultimate Shear Strength (Vuc)

The maximum shear force that a prestressed beam can withstand before failure. It's calculated differently depending on which region of the beam is experiencing shear.

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Flexure-Shear Cracking

Cracking pattern in a prestressed beam where moment cracks extend into shear cracks, occurring when both moment and shear forces are significant.

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Web-Shear Cracking

Cracking pattern in a prestressed beam where shear cracking dominates, occurring in regions where shear is the main contributor to failure.

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Torsion in Beams

Torsion occurs when a twisting force is applied to a beam. This leads to a diagonal cracking pattern around the beam's perimeter.

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Diagonalised Cracking

A characteristic cracking pattern in beams subjected to torsion, appearing as diagonal lines around the perimeter of the beam.

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What does a tendon profile in a beam need to be practical?

A practical tendon profile in a beam needs to incorporate a minimum radius at the support to ensure a smooth transition of the tendons and duct. This avoids a sharp point and allows for a more realistic and functional design.

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Study Notes

Post Tension Concrete Floor Systems

  • Post-tension concrete floor systems are an elegant engineering system
  • They improve service and strength behaviours of reinforced concrete
  • Design of many engineering structures is cost effective
  • They improve general performance of structures

Definition of Pre-stressing

  • Preloading the structure before application of design loads
  • Improve general performance
  • The image shows the process with stages
  • Unstressed beam, load deflection, Tendons stressed, Prestress forces, Prestress deflection (up)

Objectives of Pre-stressing

  • Control or eliminate tensile stresses in the concrete
  • Up to service load levels
  • Control or eliminate deflection at specific load levels
  • Allow for the use of high-strength steel and concrete

Prestressing - Basic Idea

  • High tensile wire strands approximately 1870 MPa
  • Higher strength concrete approximately 30-50 MPa
  • Tendons cast within concrete
  • Tendons are jacked to high stresses
  • Reactions are pressed against ends of concrete member
  • Stress is permanently transferred to cast-in end anchors

Terminology

  • Strand: A group of high tensile wires woven together
  • Tendon: Steel wire, strand or bar for pre-stressing
  • Cable: Group of tendons collected together
  • Pre-stressed: Prior stressing of both concrete and tendons
  • Pre-tensioned: Tendons tensioned before concrete pouring
  • Post-tensioned: Tendons tensioned after concrete has set. Commonly used in Australia.

Modern Anchorage Systems

  • Mono-strand: Strands jacked individually
  • Multi-strand: Strands jacked together
  • Anchorage at slab edge, stressing pocket

Terminology (continued)

  • Bonded tendons: Ducts filled with cement grout, effectively bonding to concrete like reinforcing steel
  • Unbonded tendons: Tendons greased, enclosed in plastic sheaths; not grouted; allowed under some conditions

Load Balancing Concepts

  • Suspension bridge cables balance vertical loads, not prestressed
  • Prestressed structures use cables against slab to pre-balance slab load

Pre-stress Concepts - Summary

  • Key concepts explained through diagrams
  • Improved deflection and strength
  • Cracking reduction, stiffness increase
  • Pre-compression reduces cracking, and deflection
  • Tendons provide upward load to carry self-weight

Some Basic Concepts

  • Tendons grouted, part of concrete "free body", integrated whole
  • External load application (self-weight plus other loads) considered
  • C and T forces separate to form moment couple resisting external moment
  • Basis for internal couple approach

Material Properties - Concrete

  • Concrete strength ( f'c): Uniaxial compression strength of test cylinders, 95% of test samples exceed value
  • AS 3600 limits maximum compression fiber strain to 0.003
  • Typical strength for prestressed concrete applications is around 32-50 MPa

Material Properties -Reinforcing Steel and Prestressing Tendons

  • High tensile strands: strengths given in table
  • Actual and idealized stress-strain curves shown.
  • Characteristic breaking strand strength fpb, and breaking load Tpb

Introduction to Losses

  • Prestressing force diminishes from instant steel is tensioned
  • Losses occur during prestress transfer & through member life
  • Range of losses is typically 15-30% of initial jacking force

Introduction to Losses (continued)

  • Immediate losses: depend on method and equipment
  • Deferred losses: gradual losses over the structure's life

Prestressing Losses (continued)

  • Types of losses: elastic deformation, duct friction, anchorage slip, stress relaxation, shrinkage deformation, creep deformation.

Structural floor systems

  • Horizontal spanning
  • Transfer gravity loads to the vertical system
  • Significant percent of structural cost
  • Highly repetitive, efficiencies, cost savings
  • Categorized as one and two way spanning

Reinforced and Prestressed Concrete

  • Types of slabs: ribbed slab and beam, beam and (2 way) slab, band-beam and slab.
  • Flat plate, - 2 way, Flat slab - two way, Residential, Smaller spans; Large areas: Hospital & Office, Common Office & Car-parks, Prestressed.

Sketching Concept Designs

  • Concrete layout plan drawing
  • Band beam and concept designs

Beam and Slab Depths

  • Beam depth, slab depth
  • Slab span for L/D ratios in band beam systems
  • Concepts explained via diagrams.

Concrete layout plan drawing - Flat slab

  • Dimensions and spacing of components explained via diagrams

Slab Systems

  • Five types of slab systems (one-way supported by walls/beams, two-way support on 4 sides, flat plates without drop panels, two-way flat slabs with drop panels, one way slab and band beam)
  • Analysis of one-way slab systems, mostly used in cores

One-way slab (supported on walls or narrow beams).

  • Diagram and description of a one-way slab structure

Two-way slabs (supported on 4 sides)

  • Diagram and description of a two-way slab structure

Slab Systems (continued)

  • One-way slabs running across band beams.
  • Moments arise across the band beam
  • Band depth normally 100-200mm deeper than slabs

Prestressing key Considerations

  • Higher strength concrete supports higher loads
  • High-tensile strands up to 1870 MPa
  • Prestressing loss due to concrete creep and shrinkage
  • Strain example, and impact on strength bars

Prestressed Concrete-Improved Serviceability

  • Uncracked sections, load balancing supports dead loads
  • Reduced deflections in prestressed designs
  • Sections approximate 70% depth of reinforced concrete
  • Post-tensioning allows for longer spans

Determinate and Indeterminate Structures

  • Statically determinate structures force and moments can be determined in static equilibrium.
  • Hyperstatic/indeterminate structures have more members or support than needed for stability.
  • Insufficient support results in instability

Statically Determinate Beams

  • Types of beams: simply supported, single/double cantilever ends
  • Post-tensioned beams often more economical for spans over 7-8 meters
  • Span to depth ratio (L/D) for preliminary sizing.

Schematic Design Approaches

  • Span to depth ratios (L/D) for preliminary sizing.
  • Guidelines for various prestressed structural types (beams, transfers, heavy load, floors, continuous band beams, etc)

Practical Tendon Profiles

  • Cable profiles conceptualized as parabolic, but follow "minimum practical radius" in real-life
  • Smoother transition for ducts & tendons is important.

Prestressed Beams

  • Shear carried by concrete, calculated for two conditions
  • Regions (A, B, C) with varying moment/ shear ratios
  • Importance of moment & shear in regions B, and the possibility of "flexure-shear" or "web-shear" cracking

Torsion In Beams

  • Torsional cracking around beam perimeter
  • Closed ties used as additional shear reinforcement
  • Longitudinal forces resisted by longitudinal bars in corners

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Description

Explore the engineering marvel of post-tension concrete floor systems through this quiz. Understand the principles of pre-stressing and its objectives, and learn how these systems enhance the performance and cost-effectiveness of various structures. Test your knowledge on the important aspects of prestressing techniques and their applications.

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