v2 desing ex solution

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©John Roberts Solution Design Example V2 Equation 3.3 of Eurocode 6 and Table NA.4 of UK National Annex (NA) fk = Kf b = 0,80 x 9,50 0,85 = 5,42 N/mm 2 Checking Capacity: Effective height, h ef = n h = 0,75 x 3000 = 2250 mm as before Effective thickness, t ef = t = 120 mm Slenderness ratio = 2250 / 120 = 18,75 < 27 limiting (Therefore the effects of creep may be ignored, NA.2.14 of UK NA) Hence eccentricity of design vertical load, e i = (M id / N id ) + e he e init 0,05t Therefore e i = 0 + 0 + 5,0 = 5,0 mm (i.e. 0,042t) where M id /N id = 0 e he = 0 (horizontal loads effect) e init = h ef /450 = (3000 x 0,75) / 450 = 5,0 mm e i is 0,05 t at top and bottom of the wall which are the minimum eccentricity design values to be used Therefore i = 1 2(e i / t) = 1 2(0,05t / t) = 0,9 And eccentricity of design vertical load, e m = (M md / N md ) + e hm e init 0,05t Therefore e mk = e m +e k = 0 + 0 + 5,0 = 5,0 mm (i.e 0,042t) where M md /N md = 0 e hm = 0 (horizontal loads effect) e init = h ef /450 = (3000 x 0,75) / 450 = 5,0 mm e k = 0 (creep effect) e mk is 0,05 t at mid-height of the wall which is the minimum eccentricity design value to be used Hence for E = 1000f k (5420 N/mm 2 ) Part 1.1 Annex G equations or Figure G1 gives:

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Solution-Masonry wall Example No 2

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  • John Roberts

    Solution Design Example V2

    Equation 3.3 of Eurocode 6 and Table NA.4 of UK National Annex (NA)

    fk = Kfb= 0,80 x 9,500,85 = 5,42 N/mm2

    Checking Capacity:

    Effective height, hef = n h = 0,75 x 3000 = 2250 mm as before

    Effective thickness, tef = t = 120 mm

    Slenderness ratio = 2250 / 120 = 18,75 < 27 limiting

    (Therefore the effects of creep may be ignored, NA.2.14 of UK NA)

    Hence eccentricity of design vertical load, ei = (Mid / Nid) + ehe einit 0,05t

    Therefore ei = 0 + 0 + 5,0 = 5,0 mm (i.e. 0,042t)

    where Mid/Nid = 0

    ehe = 0 (horizontal loads effect)

    einit = hef/450 = (3000 x 0,75) / 450 = 5,0 mm

    ei is 0,05 t at top and bottom of the wall which are the minimum eccentricity design values to be used

    Therefore i = 1 2(ei / t) = 1 2(0,05t / t) = 0,9

    And eccentricity of design vertical load, em = (Mmd / Nmd) + ehm einit 0,05t

    Therefore emk = em + ek = 0 + 0 + 5,0 = 5,0 mm (i.e 0,042t)

    where Mmd/Nmd = 0

    ehm = 0 (horizontal loads effect)

    einit = hef/450 = (3000 x 0,75) / 450 = 5,0 mm

    ek = 0 (creep effect)

    emk is 0,05 t at mid-height of the wall which is the minimum eccentricity design value to be usedHence for E = 1000fk (5420 N/mm2) Part 1.1 Annex G equations or Figure G1 gives:

  • John Roberts

    m = 0,66

    Class I execution control m = 2,3

    Design resistance per unit length NRd = t fd from Table NA.1 of UK NA

    Where design strength, kdm

    ff =

    for vertical load on the units in the -

    - normal direction of loading

    NRd = 0,66 x 120 x 5,42 / 2,3 = 187 kN/m run 180 kN/m

    This is greater than the design load and therefore the concrete block masonry units and thin layer mortar jointing specified are adequate.