09 braced frame

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    Braced frame Prof Schierle 2

    Eight-story steel braced frame AssumeHigh strength steel (yield strength Fy = 50 ksi ) Fy = 50 ksi

    Average wind pressure P = 30 psf Gravity load = 50 psf Column (psf) Beam (psf) Brace (psf)DL 70 70 70

    Column load (per foot on beam)w = 90 psf x 30/1000 w = 2.7 klf Beam loadw = 95 psf x 30/1000 w = 2.85 klf

    Base shear V = 30 psf x 45 x 90/1000 V = 122 kOverturn moment MM = 122 k x 51 M = 6222 k

    Column P lateral = M/30 P gravity = n w A tributary Pa + d P = 0 P = 8x2.7x15 = 324 k 324 k

    h =

    9 6 - 6 =

    9 0

    5 1

    Brace force (see vectors) P = 78 k

    Note: brace alters from tension to compressiondesign for compression, due to buckling

    V=122 k

    LL 50x0.4 = 20 50x0.5 = 25 50Total 90 95 120

    b + c P=6222 k/30= 207 k P = 8x2.7x30 = 648 k 855 k

    V=122 k

    P=78 kP=78 k

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    Braced frame Prof Schierle 3

    Column P KL length Use P all vs. Pa + d 324 k 12 W14x61 410 > 324

    Brace 78 k 20 W14x43 117 > 78b + c 855 k 12 W14x120 919 > 855

    Column and brace design (use AISC column table)

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    Braced frame Prof Schierle 4

    Bending momentM = wL2/8 = 2.85 klf x 30 2/8 M = 321 kSection ModulusS = M/Fb = 321 kx12/ 30 ksi S = 128 in 3

    Use W18x76 146 > 128Deflection = (5/384) W L 3/ (E I)

    = (5/384) (2.85x30) (30x12) 3/ (30,000x1330) = 1.3allowable = L/240 = (30x12)/240 = 1.5 1.5 > 1.3, ok

    Note: while the center bay beams are supported by braces,IBC requires such beams to be designed without brace supportB

    m d

    g

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    Column P KL length Use P all vs. P

    b + c 375 k 12 W14x61 410 > 375

    Column and brace design (use AISC column table)

    Brace 36 k 20 W8x31 97 > 36

    a + d 162 k 12 W8x31 189 > 162

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    First interstate Bank Los Angeles Architect: I M PeiEngineer: CBM

    Combines framed tube exterior with braced core

    Moment frame Braced frame Combined

    drift drift drift

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    9/21Braced frame Prof Schierle 9

    1 IBM build ing Pi ttsburgh Architect: Curtis and DavisEngineer: Worthington & Skilling

    2 Alcoa bui ld ing San Francisco Architect/Engineer: SOM

    3 Federal Reserve Banc Boston Architect: Hugh StubbinsEngineer: Le Messurier

    1 Onterie Center Chicago Architect/Engineer: SOM

    2 Proposed 142 story tower Chicago Architect: Kay Vierk Janis E x

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    John Hancock tower Chicago Architect/Engineer: SOM

    Braced tube

    AT&T tower, Seattle Architect: Basetti et allEngineer: Skilling et all

    Braced superstructure with4 columns of 12 ksi high strengthconcrete in 10 steel tubes

    Bank of China Hong Kong Architect: I M PeiEngineer: Ove Arup

    Braced superstructure definesarchitectural form

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    Alcoa Building San Francisco

    Architect/Engineer: SOM

    John Hancock Tower Chicago

    Architect/Engineer: SOM

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    1 Georgia-Pacific tower, Atlanta Architect: SOMEngineer: Weidlinger Associates

    2 Barcelona hotel

    Architect: SOM

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    Large drift(unglued boards resist independently)Small drift(glued boards resist in synergyshear joins tension & compression)

    Gue-lam beam anlogy

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    Vi sc o el a s t i c b r a c i n ghttp://ascelibrary.org/emo/resource/1/jenmdt/v129/i6/p597_s1?isAuthorized=no

    www.dist.unina.it/proc/1998/ECEE11/ECEE11/T5/PAOODO.PDF

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    Chase Manhattan Banc New York Architect / Engineer: SOM

    Century Tower Tokyo Architect: Norman Foster Engineer: Ove Arup

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    c c e n t r i c b r a c e d f r a m e

    LA courthouse @ 105 / 405features twin link-beams

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    LA courthouse @ 105 / 405

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    LA courthouse @ 105 / 405

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