CE 451 Final Part1

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    15/47Methods of Pretensioning(c) Hoyer or long-line method of pretensioning

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    Freyssinet anchorage

    Freyssinet hydraulic jack stressing wires

    Post-tensioning systems

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    Glifford-Udall anchorage system

    Lee-Mcall anchorage system

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    Typical service loads are:

    (1) Dead load of the member

    (2) Any superimposed dead load like finishes etc.

    (3) Live load

    (4) Prestressing force after losses

    Stresses shall be within permissible limits for the worst combination of the above loads

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    Wire tendon

    Strand tendon

    Stress strain curves for reinforcing and prestressing steels

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    Stress-strain curves for reinforcing and prestressing steels

    Tensile strength and elongation characteristics of plain and indented wires

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    Gross concrete section

    is taken. No deduction for

    hole due to the tendon

    Analysis is being carried

    out at the final stage or at

    service loads. Hence, losses

    are being accounted for.

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    Analysis is being carried

    out at the final stage or at

    service loads. Since nothing

    is said about losses it may be

    assumed that the effectiveprestressing force is given.

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    The applied load intensity is such that thebottom fibre stress at the mid-span = 0

    Note that the position of P is fixed.

    Note that this is opposite to what

    happens in the case of a R.C.C.

    beam

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    50

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    Suitable for a concentrated

    external load

    Suitable for a UDL

    Suitable for two concentrated

    external loads

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    x

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    Since the prestressing jack is

    bearing against concrete, the

    tensioning of the cable and the

    prestressing of concrete occurs

    siimaltaneously.

    In this case during

    prestressing the jacks

    are NOT bearing against

    the concrete. At transfer, all

    the cables are released together

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    Since dead load data is

    not given, the loss due to

    creep has been calculated

    only for the permanent

    stresses due to the prestress

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    Friction is acting along the entire

    length of the cable in one direction

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    Design for flexure under service/working loads

    Knowns: span, loading, support conditions, concrete grade and steel grade

    Unknowns: Section modulus/size (b x D), cable profile, prestressing force, eccentricity

    Note that we will be designing the sections either as Type I or as Type II members

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    Initial stage

    Final stage

    Dead load moments will be acting on the section.

    First subscript:

    p: due to prestress

    d: due to dead loadl : due to live load

    Second subscript:

    t: top fibre

    b: bottom fibre

    Third subscript:

    c: compressiont: tension

    1 2 3

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    Subjectively Substituting numerical values

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    Subjectively

    Substituting numerical values

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    Note that only numerical

    values of the stresses have

    to be substituted in these

    equations and the signs have

    to be ignored.

    Note that only numerical

    values of the stresses have

    to be substituted in these

    equations and the signs have

    to be ignored.

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    Note that only numericalvalues of the stresses have

    to be substituted in these

    equations and the signs have

    to be ignored.

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    612 940

    600 600 510

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    600 575

    2

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