Capacidad Axial de Pilotes Simples

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    8. Axial Capacity

    of Single Piles

    CIV42491998 Dr . J .P. Seid el

    Mod ified by J.K . K odik ara, 2001

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    Methods

    Pile dr ivin g fo rm ulae Static lo ad test Dyn am ic or Statnam ic load tes t Stat ic form ulae

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    Pile driving formulae e.g. Hiley for m ula (Energ y balance)

    Q = e .W.h .

    F (s et + tc / 2) R u = w ork ing lo ad, W=weigh t of th e

    hamm er, h= height o f the ham m er dro p(str ok e), F=facto r o f s afety

    tc= elast ic (tem po rary) co m press ion e = eff ic iency

    F s

    tc

    R u

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    Static Load Test

    Plung ing fai lure

    Load to speci f iedcon trac t requi rement

    What is thefai lure load?

    Davissons Method But ler and HoyChins Method Br inch Hansonetc. etc.

    What i s the d is t r ibut ionof resis tance?

    Approx imate methodsIns t rumenta t ion

    Load

    Deflect ion

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    Dynamic and Statnamic

    Testing Methods Rapid al ternat ives to s ta t ic tes t ing Cheaper Separate dyn am ic resis tanc e Correlat ion

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    Base ResistanceQ b = A b [c b N c + P ob (N q - 1) + 0.5 gB N g + P ob ]

    m inus w eight o f p i le, W p

    but W p A b .P ob

    and as L >>B , 0.5 gB N g 0, N q - 1 N qQ

    b

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    Shaft Resistance

    Due to co hes ion or f r ic t ion

    Cohesive co m po nent : Q sc = A s . a . c s

    Fric t ion al com pon ent : Q s f = A s .K P os tan d

    P o sK.P os

    Q s = Q sc + Q s f = A s [ a .c s + K P os tan d ]

    As

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    Total Pile Resistance

    Q u = Q b + Q s

    Q u = Ab [c b N c +P ob N q ] + A s [ a .c s +K P o tan d ]

    How do w e com pute Q u w hen sh af t res is tanc ealon g th e pi le is varying ?

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    Mobilization

    Shaft

    2 - 5mm

    Base

    10 - 20% diam

    Total

    Sett lement

    L o a

    d

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    Piles in Clay

    Q u = A b [c b N c +P ob N q ] + A s [ a .c s +K P o tan d ]

    Q u = A b [c b N c +P ob N q ] + A s [ a .c s +K P o tan d ]

    Q u = A b c b N c + A s a .c s

    Q u = A b [c b N c +P ob N q ] + A s [ a .c s +K P o tan d ]

    Q u = A

    b P

    ob N

    q + A

    s K P

    o tan d

    Q u = A b c b N c + A s a .c s

    Q u = A b P ob N q + A s K P os tan d

    Undrained

    Drained / Effectiv e

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    Driven Piles in Clay

    2.0

    1.5

    1.0

    0.5

    0 10 20 30 40 50 60r a

    Du

    vo

    Average curve for sensitiveamarine clay

    Average curve for clays of low-medium sensitivity

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    Driven Piles in Clay

    300

    250

    200

    150

    100

    50

    01 5 10 50 100 500 1000

    Time after driving in days

    B e a r

    i n g c a p a c

    i t y

    i n

    k N 200 x 215mm conrete

    (Gothenberg)

    300 x 150mm tapered timber (Drammen)

    150mm (8 in) steel tube (San Francisco)300 x 125mm I-Beam

    (Gothenberg)

    30

    25

    20

    15

    10

    5

    B e a r

    i n g c a p a c

    i t y

    i n

    t o n s

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    Nc Parameter

    N c

    Compare Skemptons N c for sh al low foun dations

    N c = 5(1+0.2B /L)(1+0.2D/ B )

    10

    9

    8

    7

    6

    50 1 2 3 4 5

    L/d B

    B e n

    d i n g c a p a c i

    t y f a c t o r

    N c

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    Adhesion Factor, a

    50 100 150 200 250

    1000 2000 3000 4000 5000

    2.0

    1.5

    1.0

    0.5

    0

    Figures denote penetration ratio =Depth of penetration in clay

    Pile diameter Key:Steel tube pilesPrecast concrete

    pilesDesign curve for

    penetration ratio >

    49 49

    49 56 13 15

    17 27 33

    4010

    5815

    38

    3327 39

    44

    44 39

    1917

    19

    13

    35 44 A d h e s

    i o n

    f a c t o r

    Undrained shear strength (c ) lb/ft 2u

    Undrained shear strength (c ) kN/m 2u

    20

    1.0

    0.8

    0.6

    0.4

    0.2

    0 100 200

    Average Undrained Shear Strength, c , kPau

    R e d u c t

    i o n

    F a c

    t o r ,

    a

    A us t. Piling Cod e,A S159 (1978)

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    Bored Piles in Clay

    Skemptons recommendations for sideres is tance

    =0.45 fo r c u 215 kPa

    N c is l im ited to 9. A reduct io n factor is app l ied to accou nt for

    lik ely fis su rin g (I.e., Q b = A b c b N c )

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    Soil disturbance

    samp l ing at tem pts to es tabl ish in-s i tus t rength values

    so i l is fai led/remo uld ed b y dr iv ing o rdr i l l ing

    pile ins tal lat ion caus es su bs tant iald is turbance

    bo red p i les : potent ial loosening driven p i les : p robable densif icat ion

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    Scale effects

    Laboratory samp les or in -s i tu tes tsinvo lve sm al l volum es o f so i l

    Fai lure of so i l aroun d pi les inv olves m uchlarger so i l volum es

    If so i l is f iss ured, the sam ple may n ot b erepresentat ive

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    Q u = A b [c b N c +P ob N q ] + A s [ a .c s +K P os tan d ]

    Piles in Sand

    Q u = A b [c b N c +P ob N q ] + A s [ a .c s +K P os tan d ]

    Q u = A

    b P

    ob N

    q ] + A

    s K P

    os tan d ]

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    Overburden Stress P ob

    Q u = A b P ob N q ] + A s K P os tan d ]

    Meyerhof Method : P ob = gz

    Vesic Method : cr i t ical depth , z c

    for z < z c : P ob = gz for z > z c : P ob = gz c

    z c /d is a function o f f after installation - see gr aph p. 24

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    Critical Depth (z c)

    L

    zc

    vc

    W.T.

    d

    20

    15

    10

    5

    028 33 38 43

    f

    z

    / d

    c

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    B earing Fac to r, N q

    N q i s a func t ion o f : f r ic t ion ang le , fN q i s a func t ion o f :

    Q u = A b P ob N q ] + A s K P os tan d ]

    Wh at affects f ? In-s i tu dens i ty Part icle p ro pert ies Ins tallat ion pro cedure

    N q de term ined f rom graphs app ropr ia te

    to each par ticular m ethod

    Total end bear ing m ay also b e lim ited:

    Meyerho f : Q b < A

    b 50N

    q tan f

    B eware if f is pre- or po st-ins tal lat ion:

    Layered s oi ls :N q m ay b e reduc ed i f penetrat ion

    ins uffic ient . e .g. Meyerh of (p 21)

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    Nq factor (Berezantzevs Method)

    1000

    100

    1025 30 35 40 45

    f

    Nq

    If D/B

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    Overburden Stress P os

    Q u = A b P ob N q ] + A s K P os tan d ]

    Meyerhof Method : P os = gz mid

    Vesic Method : cr i t ical depth , z c

    for z m id < z c : P ob = gz for z m id > z c : P ob = gz c

    z c /d is a function o f f after installation - see gr aph p. 24

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    Lateral s tres s param eter, K

    A func t ion of K o no rm ally co nso l idated o r ov ercon sol idated -

    see Ku lhawy p roper t ies m anual see recom m endations by Das, K ulh awy (p26)

    A func t ion o f ins tal lat ion driv en p iles (ful l , part ial d isplacem ent) bo red p i les augercast pi les screwed pi les

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    Das (1990) recommends the following values for K / K o :

    Pile Type K / K o

    Bored or Jetted piles 1

    Low-displacement, driven piles 1 to 1.4

    High-displacement, driven piles 1 to 1.8

    Kulhawy (1984) makes the following similar recommendations:

    Pile Type K / K o

    Jetted piles 1/2 to 2/3

    Drilled shaft, cast-in-place 2/3 to 1Driven pile, small displacement 3/4 to 5/4

    Driven pile, large displacement 1 to 2

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    K.tan d

    The K and tan d values are of ten co m binedinto a s ingle func t ion

    see p 28 for Vesic values f rom Poulos andDavis

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    Pile-so il fr ic t ion ang le, d

    A func t ion of f See values b y B rom s and K ulhaw y (p26) A fu nc t ion o f pi le m ater ial

    steel, co nc rete, t im ber A func t ion of p i le roughn ess

    precast conc rete Cast-in-place con crete

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    Pile-soil friction angleBroms (1966) suggests the following

    Pile Material / f '

    Steel d

    Concrete 0.75

    Timber 0.66

    Kulhawy (1984)

    Pile Material / f ' Typical analogy

    Rough concrete 1.0 Cast-in-place

    Smooth concrete 0.8 to 1.0 Precast

    Rough steel 0.7 to 0.9 Corrugated

    Smooth steel 0.5 to 0.7 Coated

    Timber 0.8 to 0.9 Pressure-treated

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    Example Driven precast co nc rete pi le 350mm squ are Uniform dense sand (f = 40 o ; g = 21kN/m 3)

    Water tabl e at 1m Pile leng th 15m Check end bearing with Vesic and Meyerho f Metho ds Pi le is driven on 2m furth er into a very d ense layer f = 44 o ; g = 21.7 kN/m 3 Com pu te m od if ied capaci ty using Meyerhof

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    Example Bo red pi le 900mm d iam eter Uniform medium dense sand (f = 35 o ; g = 19.5kN/m 3)

    Water tabl e at 1m Pile leng th 20m Check sh aft capacity with Vesic and Meyerho f Metho ds By co m parsion, check capaci ty of 550mm d iam eter

    scr ewed pile

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    Lateral load o n sin g le p i le

    Calcu lat ion of u l t im ate lateral resis tance(refer webs ite/han do uts fo r detai ls)

    Lateral pi le def lect io n (us e us e su bg radereact ion m etho d, p-y analysis)

    Roc k s oc keted p ile (us e ro ck et , Carter etal . 1992 m etho d )