CIVL3811 Post Tension Concrete Systems
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What is the definition of pre-stressing?

Pre-stressing is the process of preloading a structure before applying design loads to improve its overall performance.

What are the primary objectives of pre-stressing?

  • Control or eliminate tensile stresses in the concrete (cracking) at least up to service load levels. (correct)
  • Control or eliminate deflection at some specific load level. (correct)
  • Allow the use of high-strength steel and concrete. (correct)
  • All of the above
  • The typical tensile strength of high tensile wire strands is approximately 1870 MPa.

    True

    The tendons are cast within the concrete, initially ______ within ducts.

    <p>freely</p> Signup and view all the answers

    Describe the process of transferring prestress forces to the concrete member.

    <p>Tendons are jacked to very high stresses prior to grouting. The reaction forces from the jacking process are applied to the ends of the concrete member and then transferred permanently to cast-in end anchors.</p> Signup and view all the answers

    What is the end result of the prestressing process?

    <p>The tendons are permanently pre-stressed in tension, and the concrete is permanently pre-stressed in compression.</p> Signup and view all the answers

    Which of the following terms is defined as the wire, strand, or bar intended to be pre-stressed?

    <p>Tendon</p> Signup and view all the answers

    What are the key differences between pre-tensioned and post-tensioned construction?

    <p>In pre-tensioned construction, tendons are tensioned before concrete pouring and bonded afterwards, while in post-tensioned construction, tendons are laid in ducts within the concrete and tensioned after it gains strength.</p> Signup and view all the answers

    Post-tensioned construction is the most commonly used system in building and other structures in Australia.

    <p>True</p> Signup and view all the answers

    How are tendons typically stressed in a mono-strand system?

    <p>Strands are jacked individually.</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Strand = A group of tendons assembled in a duct or anchorage. Tendon = A combined unit of high tensile wires woven together. Cable = The wire, strand, or bar intended to be pre-stressed. Pre-stressed = The tendons are tensioned prior to concrete pouring. Post-tensioned = The process of stressing both the concrete and tendons prior to service use. Pre-tensioned = Tendons are tensioned after the concrete gains strength.</p> Signup and view all the answers

    What is the purpose of grouting in pre-stressed concrete?

    <p>Grouting bonds the tendons to the concrete, effectively making them an integral part of the structure.</p> Signup and view all the answers

    After stressing and grouting, the strands become ______ to the member concrete.

    <p>bonded</p> Signup and view all the answers

    What is the main purpose of wedges in pre-stressed concrete construction?

    <p>Wedges are used to apply tension to the tendons, creating the necessary pre-stress forces within the concrete.</p> Signup and view all the answers

    Describe the typical steps involved in pre-stressed concrete construction, as depicted in the construction sequence diagram.

    <p>The construction sequence involves tendon placing, concreting, stressing, and grouting.</p> Signup and view all the answers

    Explain the difference between bonded tendons and unbonded tendons.

    <p>Bonded tendons are grouted after stressing, creating a strong bond with the concrete, while unbonded tendons are not grouted and are typically encased in a plastic sheath.</p> Signup and view all the answers

    Unbonded tendons are commonly used in specialized applications, such as cable-stayed bridge cables, where monitoring and replacement of individual strands is necessary.

    <p>True</p> Signup and view all the answers

    A suspension bridge cable balances vertical loads in a catenary action, similar to how prestressed structures pre-balance loads in a similar way.

    <p>False</p> Signup and view all the answers

    What is the significance of pre-compression in prestressed concrete?

    <p>Pre-compression reduces cracking and deflection by applying compressive forces to the concrete prior to external loads.</p> Signup and view all the answers

    Explain the role of tendons in applying prestress.

    <p>Tendons create the prestressing forces that induce compressive stresses in the concrete, effectively 'pre-balancing' the load and enhancing the structure's performance.</p> Signup and view all the answers

    What is the concept of 'draping' the tendon in pre-stressed concrete, and how does it contribute to load balancing?

    <p>'Draping' the tendon refers to its curved profile, which allows it to apply an upward load to the concrete, helping to carry a portion of the structure's self-weight.</p> Signup and view all the answers

    What is the primary benefit of prestressing regarding deflection and strength?

    <p>Reduced deflection and increased strength.</p> Signup and view all the answers

    After grouting, the tendons become effectively a part of the concrete 'free body,' making the entire structure act as an integrated whole.

    <p>True</p> Signup and view all the answers

    How does the application of an external load impact the forces within a pre-stressed beam?

    <p>External loads create a moment couple, which is resisted by the internal forces created by the prestressing forces, ensuring that the beam remains stable.</p> Signup and view all the answers

    What is the 'internal couple' approach in prestressed concrete analysis?

    <p>The 'internal couple' approach is a simplified method for analyzing the behavior of a prestressed beam by considering the balancing forces created by external loads and the internal stresses introduced by prestressing.</p> Signup and view all the answers

    What is the characteristic value of concrete strength, and why is it significant?

    <p>The characteristic value of concrete strength, denoted as f'c, represents the uniaxial compressive strength of test cylinders. This value is significant because it defines the strength that 95% of concrete samples should exceed.</p> Signup and view all the answers

    AS 3600 8.1.3 dictates that concrete retains most of its strength until the strain in the extreme compression fiber reaches 0.003, and after this point, its strength begins to diminish.

    <p>True</p> Signup and view all the answers

    What is the typical range of compressive strength for prestressed concrete applications?

    <p>The typical range of compressive strength for prestressed concrete applications is between 32 MPa and 50 MPa.</p> Signup and view all the answers

    Prestressing contractors have specific ______ requirements prior to jacking.

    <p>early transfer stress</p> Signup and view all the answers

    What are two primary factors causing time-dependent strain in concrete?

    <p>Creep and shrinkage are the two primary factors that cause time-dependent strain in concrete.</p> Signup and view all the answers

    The characteristic tensile strength of concrete, f’ct, is primarily used in long-term strength calculations.

    <p>False</p> Signup and view all the answers

    It is generally recommended to use f’ct as the primary parameter for determining the strength of concrete.

    <p>False</p> Signup and view all the answers

    What is the primary purpose of the stress-strain curve in analyzing reinforcing steel?

    <p>The stress-strain curve helps to understand the relationship between the stress applied to the steel and its corresponding deformation.</p> Signup and view all the answers

    What is the significance of the 'characteristic breaking strength' (fpb) in prestressing tendons?

    <p>The 'characteristic breaking strength' (fpb) represents the maximum stress that a tendon can withstand before fracturing, and it is a crucial parameter for determining the design capacity of the tendon.</p> Signup and view all the answers

    The 15.2 mm diameter, 7-wire ordinary strand is a commonly used element in the design of prestressed building structures.

    <p>True</p> Signup and view all the answers

    Why is it important to consider losses in prestressing force during the design process?

    <p>Losses in prestressing force can significantly impact the structural performance of the pre-stressed element over time. Reducing these losses is crucial to ensure the intended design capacity of the structure and prevent premature failure.</p> Signup and view all the answers

    Which of the following categories are considered immediate losses in prestressing?

    <p>Elastic deformation of the concrete during stressing.</p> Signup and view all the answers

    What are deferred losses in prestressing, and how do they differ from immediate losses?

    <p>Deferred losses are gradual losses that occur over time after the prestressing force is transferred to the concrete. They are primarily caused by factors like shrinkage and creep, while immediate losses occur during the initial tensioning and transfer phase.</p> Signup and view all the answers

    Explain the concept of load balancing in structural floor systems.

    <p>Load balancing in structural floor systems refers to the efficient transfer of gravity loads from the floor slab to the vertical support system, ensuring stability and minimizing stress concentrations.</p> Signup and view all the answers

    Floor systems can be categorized as one-way and two-way spanning, depending on the primary direction of load transfer.

    <p>True</p> Signup and view all the answers

    Which of the following floor system types is commonly used in historic and precast construction?

    <p>Ribbed slab and beam</p> Signup and view all the answers

    For what applications are band-beam and slab floor systems commonly used?

    <p>Band-beam and slab floor systems are commonly used for common office and car-park buildings.</p> Signup and view all the answers

    Describe the typical application of flat plate and flat slab floor systems in building design.

    <p>Flat plates are often used for residential buildings with smaller spans, while flat slabs are favored for larger areas, such as hospitals and office buildings.</p> Signup and view all the answers

    Gridlines in concrete layout plans are used solely for aesthetic purposes.

    <p>False</p> Signup and view all the answers

    What is the significance of the L/D ratio in the preliminary sizing of structural members?

    <p>The L/D ratio (span-to-depth ratio) is a crucial parameter for pre-stressing design, as it provides a general guideline for determining the adequate depth of a member relative to its span length.</p> Signup and view all the answers

    The L/D ratio guidelines provided in the document are absolute rules, and must be strictly adhered to.

    <p>False</p> Signup and view all the answers

    What considerations should be taken when designing prestressed beams with simply supported conditions?

    <p>When designing prestressed beams with simply supported conditions, it's essential to consider the load transfer mechanism and the potential for localized stress concentrations at the support points.</p> Signup and view all the answers

    What are the main factors influencing the choice of P/A (prestress/area) ratio for prestressed members?

    <p>The choice of P/A (prestress/area) ratio is influenced by factors such as the type of pre-stressed member (beam or slab), the specific loading conditions, and the required level of serviceability for the structure.</p> Signup and view all the answers

    Higher values of P/A ratio are generally recommended for beams compared to slabs.

    <p>False</p> Signup and view all the answers

    What is the significance of the 'bay area', Ab, in the context of P/A ratio calculations?

    <p>The 'bay area', Ab, represents the area encompassed by the columns defining a particular load-carrying region within a pre-stressed structure. It's essential for determining the appropriate P/A value for the specific bay and ensuring adequate load distribution.</p> Signup and view all the answers

    The idealized parabolic tendon profiles are commonly used in practical pre-stressed concrete applications.

    <p>False</p> Signup and view all the answers

    Why is it essential to ensure a smooth transition for the tendon profile near supports in practical applications?

    <p>A smooth transition is crucial to minimize stress concentrations and ensure a seamless transition between the straight tendon section in the span and the curved section near the supports, preventing potential cracking and structural failure.</p> Signup and view all the answers

    What is the primary benefit of using practical tendon profiles with a smooth transition?

    <p>Practical tendon profiles with a smooth transition ensure a more efficient load distribution and minimize potential stress concentrations at the supports, leading to a more robust and durable structure.</p> Signup and view all the answers

    How is the shear carried by the concrete in pre-stressed beams typically calculated?

    <p>For three conditions: one with flexural cracks, one with web-shear cracks, and one with flexure-shear cracks.</p> Signup and view all the answers

    Moment cracking predominates in region A of a pre-stressed beam.

    <p>True</p> Signup and view all the answers

    What is the distinguishing characteristic of region B in a pre-stressed beam compared to region A?

    <p>In region B, both moment and shear forces are relatively large, leading to the formation of flexure-shear cracks, a combination of flexural and shear cracking.</p> Signup and view all the answers

    What is the primary cause of web-shear cracking in pre-stressed beams?

    <p>Web-shear cracking occurs primarily in region C, where the shear forces are dominant, leading to the formation of cracks that extend across the web of the beam.</p> Signup and view all the answers

    How does torsion in beams affect the cracking pattern?

    <p>Torsion in beams creates a diagonalized pattern of cracking around the perimeter of the beam, forming a crisscross pattern due to the twisting forces.</p> Signup and view all the answers

    Describe the purpose of torsional reinforcement in beams.

    <p>Torsional reinforcement, typically in the form of closed ties, is used to supplement or add to the shear reinforcement in beams subject to torsional stresses, ensuring structural stability and preventing premature failure.</p> Signup and view all the answers

    Longitudinal forces in the corners of a beam section are primarily addressed by the shear reinforcement.

    <p>False</p> Signup and view all the answers

    What is the primary purpose of 'determinate' structures in structural analysis?

    <p>'Determinate' structures allow all forces and moments to be determined using equations of static equilibrium. This makes them easier to analyze and predict their behavior under loads.</p> Signup and view all the answers

    Describe the key characteristic that distinguishes 'indeterminate' structures from 'determinate' structures.

    <p>'Indeterminate' structures have redundant restraints or members, making their analysis more complex. These structures require additional equations and methods beyond static equilibrium to determine forces and moments.</p> Signup and view all the answers

    Insufficient support in a structure can lead to instability and potential failure.

    <p>True</p> Signup and view all the answers

    What are the primary types of statically determinate beams?

    <p>Statically determinate beams primarily include simply supported beams, single-span beams with cantilever ends, and single-span cantilevers.</p> Signup and view all the answers

    Post-tensioned beams generally become more economical than simply supported beams for spans exceeding 7-8 meters.

    <p>True</p> Signup and view all the answers

    What is the general approach for preliminary sizing of a simply reinforced beam?

    <p>The general approach for preliminary sizing of a simply reinforced beam involves starting with a standard design and gradually increasing the span-to-depth ratio (L/D) until the desired performance criteria are met.</p> Signup and view all the answers

    How does the use of post-tensioning influence the required depth of a beam compared to a simply reinforced beam?

    <p>Post-tensioning allows for a reduction in the required depth of a beam compared to a simply reinforced beam for a comparable span. The depth can be reduced by approximately 70-80% while still meeting serviceability requirements.</p> Signup and view all the answers

    The L/D ratio is a universal standard for design, applicable to all types of pre-stressed structural members.

    <p>False</p> Signup and view all the answers

    What is the typical range of P/A ratio recommended for continuous band beams?

    <p>2.0-2.5 MPa</p> Signup and view all the answers

    The L/D ratio guidelines provided in the document are generally applicable to both fire-rated and non-fire-rated slab systems.

    <p>False</p> Signup and view all the answers

    What is the significance of the 'bay area', Ab, in determining the P/A ratio?

    <p>The 'bay area', Ab, is a key factor in calculating the P/A ratio. It represents the region between columns within a pre-stressed structure and influences the load distribution and overall structural capacity.</p> Signup and view all the answers

    Idealized parabolic tendon profiles are a common feature in practical pre-stressed concrete applications.

    <p>False</p> Signup and view all the answers

    Why is a smooth transition of the tendon profile crucial near the supports in practical pre-stressed concrete designs?

    <p>A smooth transition near the supports is essential to prevent stress concentrations and minimize the risk of cracking. A gradual curvature allows for seamless transition, while a sharp change can lead to excessive stress and potential failure.</p> Signup and view all the answers

    Explain the primary advantage of using practical tendon profiles with a smooth transition.

    <p>Practical tendon profiles with a smooth transition offer greater efficiency in load distribution, minimizing stress concentrations. This translates to a more robust and longer-lasting structure, as the forces are managed more effectively.</p> Signup and view all the answers

    What is the purpose of calculating 'Vuc' in pre-stressed beams?

    <p>'Vuc' represents the component of shear carried by the concrete in a pre-stressed beam. Calculating 'Vuc' is essential to assess the shear capacity of the concrete and ensure that it can safely resist the applied loads.</p> Signup and view all the answers

    Moment cracking is the dominant form of cracking in region A of a pre-stressed beam.

    <p>True</p> Signup and view all the answers

    What distinguishes region B from region A in a pre-stressed beam?

    <p>In region B, the combination of bending moments and shear forces is significant. This leads to the formation of flexure-shear cracks, a combination of flexural and shear cracking, creating a more complex cracking pattern.</p> Signup and view all the answers

    How does the presence of web-shear cracking differ from flexure-shear cracking?

    <p>Web-shear cracking, predominantly found in Region C of a pre-stressed beam, is characterized by cracks extending across the web of the beam. This type of cracking occurs primarily due to dominant shear forces, while flexure-shear cracks are influenced by both bending moments and shear forces.</p> Signup and view all the answers

    Why does torsion create a diagonalized cracking pattern in beams?

    <p>Torsion introduces twisting forces in a beam, resulting in a diagonalized pattern of cracking. The twisting forces act perpendicular to the longitudinal axis of the beam, creating diagonal cracks that resist the torsional deformation.</p> Signup and view all the answers

    What is the purpose of torsional reinforcement in pre-stressed beams?

    <p>Torsional reinforcement is employed in beams subject to torsional stresses to prevent excessive cracking and ensure structural stability. It typically consists of closed ties placed at centers along the beam, acting as supplementary reinforcement to resist the twisting forces.</p> Signup and view all the answers

    Longitudinal forces in the corners of a beam section are primarily resisted by shear reinforcement.

    <p>False</p> Signup and view all the answers

    Which of the following statements best describes the primary advantage of 'determinate' structures in structural analysis?

    <p>They are easier to predict their behavior under loads.</p> Signup and view all the answers

    Explain the key difference between 'indeterminate' and 'determinate' structures.

    <p>'Indeterminate' structures have redundant restraints or members, making their analysis more complex. These structures require additional equations and methods beyond static equilibrium to determine forces and moments. 'Determinate' structures have a simpler, predictable behavior because all forces and moments can be readily calculated using equations of static equilibrium.</p> Signup and view all the answers

    Insufficient support can lead to an unstable structure and potential failure.

    <p>True</p> Signup and view all the answers

    What is pre-stressing?

    <p>Pre-stressing is the process of preloading the structure before applying design loads to improve its overall performance.</p> Signup and view all the answers

    Tendons in a prestressed structure are typically bonded to the concrete at a later stage after they are tensioned.

    <p>True</p> Signup and view all the answers

    What is the most commonly used system for prestressed concrete structures in Australia?

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

    Which of the following best describes the purpose of prestressing?

    <p>All of the above</p> Signup and view all the answers

    What are the two categories that losses in prestressing can be divided into?

    <p>Immediate losses and Deferred losses</p> Signup and view all the answers

    What is the primary reason for the difference in immediate losses?

    <p>The method and equipment used for prestressing.</p> Signup and view all the answers

    What do deferred losses refer to?

    <p>Gradual losses that occur over time due to factors like creep, shrinkage, and stress relaxation.</p> Signup and view all the answers

    What is the primary function of concrete in a prestressed structure?

    <p>To support the loads and provide resistance to stresses.</p> Signup and view all the answers

    What key factors are considered for the structural behavior of prestressed structures under load?

    <p>Strength, stiffness, and deflection.</p> Signup and view all the answers

    What are the two main types of structural floor systems?

    <p>One-way spanning and two-way spanning.</p> Signup and view all the answers

    What are the common types of reinforced and prestressed concrete floor systems?

    <p>Ribbed slab and beam, beam and two-way slab, band-beam and slab, and flat slabs.</p> Signup and view all the answers

    What type of floor system is often used for large areas like hospitals and offices?

    <p>Flat slab.</p> Signup and view all the answers

    What is a critical factor in the design of prestressed concrete structures?

    <p>Span to depth ratio.</p> Signup and view all the answers

    What is the function of 'practical profiling' in prestressed beams?

    <p>To smoothly transition the cable profiles over supports and prevent sharp curves or points.</p> Signup and view all the answers

    What is the primary benefit of practical profiling in dealing with unbalanced live loads?

    <p>It allows for increased depth near the supports, improving load distribution and resistance.</p> Signup and view all the answers

    What is the purpose of shear reinforcement in prestressed beams?

    <p>To resist shear stresses and prevent shear failures.</p> Signup and view all the answers

    Study Notes

    Post Tension Concrete Floor Systems

    • Course: CIVL3811/9811 Engineering Construction and Design
    • Institution: The University of Sydney, School of Civil Engineering, Faculty of Engineering

    Definition of Pre-stressing

    • Pre-stressing involves preloading a structure before applying design loads to enhance performance.
    • Unstressed beam initially deflects downwards under load.
    • Tendons are stressed, creating upward prestress forces.
    • Prestress deflection counteracts initial deflection, leading to a flat total deflection.

    Prestressing

    • Intentional creation of permanent stresses to improve structural behavior and strength.
    • Improves service and strength performance of reinforced concrete.
    • Cost-effective and practical solutions to engineering structures.

    Objectives of Pre-stressing

    • Control or eliminate tensile stresses in concrete (cracking) up to service load levels.
    • Control or eliminate deflection at specific load levels.
    • Allow the use of high-strength steel and concrete.

    Prestressing - The Basic Idea

    • High tensile wire strands have a stress of approximately 1870 MPa.
    • Higher strength concrete has a compressive strength of approximately 30 – 50 MPa.
    • Tendons are cast within the concrete, embedded in ducts.
    • Ducts are grouted later to bond the tendons.
    • Tendons are initially stressed using jacks, transferring the stress to anchorages.
    • This process permanently pre-stresses tendons in tension and concrete in compression.

    Terminology

    • Strand: A high tensile wire element woven into a unit (e.g. multi-strand jack).
    • Tendon: Wire, strand, or bar intended for pre-stressing.
    • Cable: A group of tendons bundled in a duct or anchorage.
    • Pre-stressed: Stressing of concrete and tendons before service use.
    • Pre-tensioned: Tendons stressed prior to concrete pouring.
    • Post-tensioned: Tendons stressed after concrete strength development. This is the common method in Australia.

    Modern Anchorage Systems

    • Mono-strand: Strands Jacked individually.
    • Multi-strand: Strands Jacked together.
    • After stressing and grouting, strands bond with the concrete.

    Terminology (Cont'd)

    • Bonded tendons: Cement grout fills ducts, bonding tendons to concrete.
    • Unbonded tendons: Greased tendons housed in plastic sheaths, permitting monitoring and replacement.

    Load Balancing Concepts

    • Suspension bridge cables balance vertical loads in a catenary action (not prestressed).
    • Prestressed structures pre-balance the load on the slab by stressing tendons against it.

    Prestressing Concepts - Summary

    • Pre-compression and load balance improve deflection and strength.
    • Cracking reduces stiffness, increasing deflection.
    • Pre-compression reduces cracking and deflection, tendons apply prestress.
    • Draping tendons provide upward load to carry a percentage of the self-weight.

    Some Basic Concepts

    • Grouted tendons become part of the concrete free body.
    • External loads (including self-weight) are considered.
    • Forces separate to create a moment couple resisting external moments.
    • This forms the internal couple approach (GMR 1.4.2).

    Material Properties – Concrete

    • Concrete strength (f'c): Uniaxial compression strength of test cylinders, exceeding 95% of test samples.
    • AS 3600 limits extreme compression fiber strain to 0.003.
    • Typical f'c for prestressed concrete applications is 32-50 MPa.
    • Prestressing contractors require specific early transfer stress requirements prior to jacking.

    Material Properties – Concrete (Cont'd)

    • Concrete experiences time-dependent strain due to creep and shrinkage.
    • Creep factor and drying shrinkage coefficient are considered.
    • Concrete has a characteristic tensile strength (f'ct) used in serviceability calculations.

    Material Properties – Reinforcing Steel and Prestressing Tendons

    • Tensile strengths of commonly used strands.
    • Characteristic breaking strength (fpb) = breaking stress.
    • Tpb = breaking load

    Introduction to Losses

    • Prestressing force diminishes from the instant of tendon tensioning.
    • Significant losses during pre-stressing and stress transfer.
    • Overall losses are typically 15-30% of initial jacking force.
    • Estimation of losses is important in design.

    Introduction to Losses (Cont'd)

    • Immediate losses depend on method and equipment.
    • Deferred losses are gradual and occur over the structure's life.
    • Immediate losses (Pj - P1)
    • Deferred losses (P 1 - Pe)
    • Common types of loss include elastic deformation, duct friction, anchorage slip, stress relaxation, shrinkage deformation, and creep deformation.

    Structural floor systems

    • Horizontal spanning, transferring gravity loads to the vertical structure.
    • High percentage of structural costs.
    • Highly repetitive systems lead to efficiency and cost savings.
    • Usually categorized as one-way or two-way spanning.

    Reinforced and Prestressed Concrete

    • Classification of concrete slabs based on layout and application (ribbed slab, beam and (2-way) slab, band-beam and slab, flat plate 2-way, flat slab 2-way).

    Sketching Concept Designs

    • Concrete slab layout plans, including dimensions for band beams.

    Beam and slab depths

    • Relationship between beam depth, slab depth, and slab span ratio in band beam systems.

    Concrete layout plan drawing

    • Concrete layout plan drawing of flat slabs, including dimensions.

    Slab Systems

    • Five main types, including one-way slabs, two-way slabs.
    • Analysis and design considerations for different slab types.
    • Design of one-way slabs supported by walls and narrow beams.

    One-way slab

    • Description of one-way slab supported on walls or narrow beams.

    Two-way slabs (Waffle)

    • Description of two-way slabs supported on four sides.

    Slab Systems (Cont'd)

    • One-way slab that runs across band beams.
    • The band depth is usually 100-200mm deeper than the slab, and the width should be 6 times the depth to be considered as a band rather than a beam.

    Prestressing Considerations

    • Higher strength concrete for carrying higher loads and higher anchor stresses.
    • High tensile strength strands (up to 1870 MPa)
    • Prestress losses due to concrete creep and shrinkage.

    Prestressed Concrete – Improved Serviceability

    • Sections uncracked because of load balance providing support to dead load.
    • Much reduced deflection.
    • Sections are approximately 70% the depth of equivalent reinforced concrete sections.
    • Post-tensioning allows for achieving longer spans.

    Determinate and Indeterminate Structures

    • Statically determinate structures forces/bending moment are able to be easily calculated.
    • Statically indeterminate structures have more members/supports than needed for structural stability. They need to consider redundant constraints.

    Statically Determinate Beams

    • Simply supported beams.
    • Single or double cantilever beams.
    • A rule of thumb for post-tensioned beams to be more economical compared to simply supported beams, starts around 7-8m span.
    • Preliminary sizing: use simply reinforced beam as starting point and try to increase L/D ratio to 1.2 – 1.4.

    Schematic Design Approaches

    • Determining appropriate L/D ratio guidelines for various slab types. • Providing L/D Guidelines, P/A guidelines for the practical sizing of members.

    Practical Tendon Profiles

    • Actual tendon profiles in continuous beams, considering parabolic patterns and transition points.
    • Adding additional depth near supports for smooth transition.

    Prestressed Beams

    • Calculating the component of shear carried by concrete, using two conditions: Flexure-shear (moment/shear is moderate), Web-shear (shear is high).

    Torsion in Beams

    • Torsion creates a diagonal cracking pattern around the perimeter of the beam.
    • Torsional reinforcement is used in addition to shear reinforcement, typically using closed ties.
    • Longitudinal forces are resisted by longitudinal bars in the corners of ties

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    Description

    This quiz covers the essential concepts of post tension concrete floor systems as described in the CIVL3811/9811 Engineering Construction and Design course. Key topics include pre-stressing, its objectives, and its benefits for structural performance and cost-effectiveness. Test your understanding of how pre-stressing enhances reinforced concrete structures.

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