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    N-W.F.P. University ofEngineering and Technology

    Peshawar

    1

    Lecture 03: Design Loads

    By: Prof Dr. Akhtar Naeem Khan

    [email protected]

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan 2

    Topics to be Addressed

    Type of !oad

    "ind #oad

    $arth%uake #oad

    #oad &om'ination

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    Feeling Responsibility

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan )

    Types of Loads

    Determination of !oad for which a *iven tructure

    may 'e dei*ned for i a difficu!t pro'!em.

    Questions to be Answered:

    + What loads may structure be called upon duringits lifetime?

    + In what combinations these loads occur?

    + The probability that a specific live load beexceeded at some time during lifetime ofstructure?

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    Design load should be rational such that considering !"mph

    wind load for a tower is reasonable but not the load of a tan# on

    top of the tower$

    Types of Loads

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan -

    Types of LoadsThree 'road cate*orie:

    1. Dead !oad

    2. #ive !oad

    (. $nvironmenta! !oad

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    1. Dead !oad

    Dead #oad conit of the wei*ht of a!!materia! and fi/ed e%uipmentincorporated into the 'ui!din* or other

    tructure. 0B& ection 1-324"ei*ht of tructure

    "ei*ht of permanent machinery etc.

    Dead !oad can 'e reaona'!y etimated if themem'er dimenion and materia! denitie are

    known.

    Types of Loads

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    2. #ive !oad:

    #ive !oad are thoe !oad produced 'y theue and occupancy of the 'ui!din* or othertructure and do not inc!ude dead !oad6

    contruction !oad6 or environmenta! !oad. "ei*ht of peop!e6 furniture6 machinery6

    *ood in 'ui!din*.

    "ei*ht of traffic on 'rid*e

    Types of Loads

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    % &uildings serve such diverse purposes that it is

    extremely difficult to estimate suitable design

    loads$

    % Different building codes specify live load

    re'uirements$

    % (niform &uilding )ode *(&)+

    % ,outhern ,tandard &uilding )ode

    % &-)A .ational &uilding )ode

    Types of Loads2. #ive !oad:

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    #ive !oad for variou occupancie

    8ccupancy #ive !oad6pf

    9eidentia! )3#i'rarie0readin* room4 -3

    ercanti!e ,;12,

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    The /"psf 0$0 specified by code for 1esidential &uildings is too

    )onservative to account for the uncertainties in structural actions

    ,uch as impact2 fatigue2 temp$ effects etc$

    Types of Loads2. #ive !oad:

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    Types of loads

    (. $nvironmenta! #oad

    $nvironmenta! !oad inc!ude wind !oad6

    now !oad6 rain !oad6 earth%uake !oad6

    and f!ood !oad.

    12

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    The niform 'ui!din* code and B8&A Nationa!

    'ui!din* code permit reduction in 'aic dei*n !ive!oad on any mem'er upportin* more than 1,3ft2

    R = r(A-150)

    -r R = 23.1(1+D/L)

    Where 1 3 reduction2 percent

    r 3 rate of reduction 3 "$"45 for floors

    A 3 area supported by floor or member

    D 3 dead load2 psf 0 3 basic live load2psf

    Live load reduction

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    Bernou!!i= e%uation for tream f!ow i ued todetermine !oca! preure at ta*nation point6

    coniderin* air to 'e non;vicou >

    incomprei'!e.

    q = (v2/2)

    + This pressure is called velocity pressure2 dynamic pressure2

    stagnation pressure$

    + This e'uation is based on steady flow$

    + It does not account for dynamic effects of gusts or dynamic

    response of body$

    q: pressre: !ass "ensit# o$ air

    v: velo%it#

    Wind load

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    9eu!tant wind preure on 'ody depend upon

    pattern of f!ow around it.

    Preure vary from point to point on urface6

    which depend on hape > i?e of 'ody.

    9eu!tant wind preure i e/preed a:

    &D = 'DA(v2/2) &L= 'LA(v

    2/2)

    'D : Dra %oe$$i%ient

    'L : Li$t %oe$$i%ient

    Wind load

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    + 6or buildings bridges and the li#e pressure is

    expressed in terms of ,hape 6actor ),*pressurecoefficient+

    & = 'q = '(v2/2)

    &=0.0025*'2

    +Air at !) weighs "$"78!pcf

    : !p,

    Wind load

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan 1

    eaured wind ve!ocitie are avera*e of

    f!uctuatin* ve!ocitie encountered durin* a finitetime.

    n avera*e of ve!ocitie recorded durin* the

    time it take a hori?onta! co!umn of air 1 mi!e !on*to pa a fi/ed point.

    atet mi!e i hi*het ve!ocity in 1 day.

    Annua! e/treme mi!e i the !ar*et of the dai!yma/imum.

    Wind load

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    "ind preure to 'e ued in dei*n hou!d 'e

    'aed on a wind ve!ocity havin* a pecificmean recurrence interva!.

    The f!ow of air c!oe to *round i !owed 'y

    urface rou*hne6 which depend on denity6i?e and hei*ht of 'ui!din*6 tree6 ve*etationetc.

    e!ocity at ((ft 0B&: ec 1-1-4 a'ove *round

    i ued a the 'aic va!ue for dei*n purpoe.

    Wind load

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    Wind load

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    hape factor varie conidera'!y with proportion oftructure > hori?onta! an*!e of incidence of the wind.

    % '$or in"ar" $a%e o$ $lat roo$e" re%tanlar il"in is 0.

    % '$or neative pressre on rear $a%e varies $ro! -0.3 to -0.*

    % or s%, il"in resltant pressre e "eter!ine" # s,ape

    $a%tor 1.2 to 1.5

    % 'o!!onl# se" is 1.3

    % ' $or i"e alls -0. to 0.

    % '$or roo$ 0.5 to 0.

    Wind load

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    4in" $or%es on trsse" str%tres e.. ri"es trans!ission

    toers ea! ri"es ir"er ri"es et%. "i$$i%lt to assesse%ase o$ leear" parts o$ str%tre.

    Recommended coefficients for walls of buildings,

    gabled roofs, arched roofs, roofs over unenclosed

    structures(stadium), chimneys, tanks, signs,transmission towers etc. are given in ASCE !"#

    $ind %ressures s%ecified by building codes include

    allowance for gust and sha%e factors.

    Wind load

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    % 9ressure acts on the windward face of the building% ,uction acts on the leeward face of the building%

    ,uction acts on the sides of the building so a personstanding in The window may be thrown outside

    + ,uction acts on the floor so that I sheet floors are

    blown away During strong wind storms

    Wind load

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    The revolving restaurant supported by a concrete column will

    ;xperience suction which will cause tension in the column and as

    )oncrete is wea# in tension so it may crac#$ As a result the lateral

    Wind load may collapse the restaurant$

    Wind load

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    AA,

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    Wind Pressure U! "#

    Dei*n "ind Preure:

    wsqe IqCCP =

    'e: combined height2 exposure and gust factor *Table 8=+

    'q (or 's):9ressure coefficient for the structure or portion of

    structure under consideration *Table 8=>ft *Table 8=6+

    6:importance factor *Table 8=#+

    (&) *"=+

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    Wind Load $%a&ple

    $/amp!e:&a!cu!ate the wind preure e/erted 'y a wind'!owin* at 133mph on the civi! en*ineerin* department o!d'ui!din*.

    o!: Accordin* the formu!a *iven a'ove:

    or windward face: & C .5inward 0B&7 Ta'!e 1-;

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    CE-409: Lecture 03 Prof. Dr. Akhtar Naeem Khan 2

    PwindwardC 23.)5 pf

    P!eeward C 12.53 pf

    Ptota! C ((.25 pf

    &=0.0025*'2

    Wind Load $%a&ple

    Wi d L d $ l

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    A!ternate ethod:

    &eC 3.- 0 or (3ft hei*ht > $/poure B6 Ta'!e 1-;4

    &%C 3.50 or windward wa!!6 Ta'!e 1-;

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    PwindwardC 1,.,- pf

    P!eeward C 7.( pf

    Ptota! C 2,.27 pf

    wsqe IqCCP =

    Wind Load $%a&ple

    Wi d L d $ l

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    Wind Load $%a&ple

    $ t' ) L d

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan (1

    $arth%uake !oad are neceary to

    conider in earth%uake prone re*ion.

    $arth%uake wave are of two type:Body wave

    urface wave

    $art'(ua)e Load

    $arth%uake "ave

    $ t' ) L d

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    +&ody waves consists of 9=waves @ ,=waves

    +These waves cause the ground beneath the structure tomove bac# and forth and impart accelerations into

    the base of structure$

    +9eriod and intensity of these acceleration pulseschange rapidly @ their magnitude vary from small

    values to more than that of gravity$

    $art'(ua)e Load

    $arth%uake "ave

    $ t' ) L d

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    $art'(ua)e Load$arth%uake "ave

    $ t' ) L d

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    &ody waves reach thebuildings first2 followed by

    the more Dangerous

    surface waves

    A linear increase in magnitudeof ;Q causes approximately cubic

    increase in the corresponding

    amount of energy released

    $art'(ua)e Load$arth%uake "ave

    $ t' ) L d

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    ,hallow ;Q of depth2 say2 !="#m are far more dangerous than

    deep ;Q of depth2 say2 !"=""#m$

    $art'(ua)e Load$arth%uake "ave

    $ t' ) L d

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    $art'(ua)e Loadactor effectin* earth%uake repone of tructure

    ,tructure response to an earth'ua#e primarilydepends upon:

    +ass

    +stiffness

    +natural period of vibration

    +damping characteristics of structure

    +location from epicenter

    +topography @ geological formation$

    $ t' ) L d

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    $art'(ua)e Loadactor effectin* earth%uake repone of tructure

    $ t' ) L d

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    $art'(ua)e Load

    9epone odification

    actor

    $art'( a)e Load

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    $art'(ua)e Load

    9epone odification

    actor

    $art'(ua)e Load

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    ;Q generally have short periods which may match the natural

    period of the low rise buildings2 say " to " stories which causes

    resonan%eresults in serious damages$ The possibility of

    resonance for high rise buildings is low due to longer time periods$

    $art'(ua)e LoadNatura! Time period of tructure

    $art'(ua)e Load U! "#

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    $art'(ua)e Load U! "#tatic #atera! force procedure: #imitation

    1-27.5.(: The static lateral force procedure ofSection1630 may be used for the following structures

    1! "ll structures# regular or irregular# in Seismic $one 1 and

    in %ccupancy Categories & and ' in Seismic $one (!(!)egular structures under (&0 feet in height with lateral

    force resistance pro*ided by systems listed in Table 16+,#

    e-cept where Section 16(.!/! Item applies!

    3!Irregular structures not more than fi*e stories or 6' feet

    in height

    $art'(ua)e Load U! "#

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    $art'(ua)e Load U! "#tatic #atera! force procedure: #imitation

    1-27.5.(: The static lateral force procedure ofSection1630 may be used for the following structures

    &!Structures ha*ing a fle-ible upper portion supported on a

    rigid lower portion where both portions of the structureconsidered separately can be classified as being regular# the

    a*erage story stiffness of the lower portion is at least 10

    times the a*erage story stiffness of the upper portion and the

    period of the entire structure is not greater than 1!1 times the

    period of the upper portion considered as a separate

    structure fi-ed at the base!

    $art'(ua)e Load U! "#

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    1-(3.2.1 Dei*n 'ae hear. The total design baseshear in a given direction shall be determined from the followingformula:

    V = (Cv I/R T) * W 30+&

    The total design base shear need not exceed the following:

    V = (2.5 Ca I/R) * W 30+'

    The total design base shear shall not be less than the following:

    V = (0.11 Ca I) W 30+6

    In addition2 for ,eismic Bone /2 the total base shear shall also

    not be less than the following:V = (0.ZNv I/R) * W 30+2

    $art'(ua)e Load U! "#

    $art'(ua)e Load U! "#

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    1-(3.2.1 Dei*n 'ae hear.For Seismic Zones 1, !, ", an# $%

    V = (0.11 Ca I) W & & ' (Cv R *) + $ & V = (2.5 Ca I/R) * W

    For Seismic Zone '%

    V = (0.11 Ca I) W & & ' (Cv R *) + $ & V = (2.5 Ca I/R) * W

    V = (0.ZNv I/R) * W

    $art'(ua)e Load U! "#

    $art'(ua)e Load U! "#

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan ),

    1-(3.2.1 Dei*n 'ae hear.

    C 3 total base shear

    )a@ )C 3 seismic dynamic response spectrum values$

    *table 8=Q @ table 8=1+

    B 3 seismic Eone factor$ *Table 8$I+

    .v@ .a3 near source factors that are applicable in only

    seismic Eone /$ *Table 8=T @ Table 8=,+

    Depends on ,eismic Eone and soil profile

    $art'(ua)e Load U! "#

    $art'(ua)e Load U! "#

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    $art'(ua)e Load U! "#

    oi! profi!e

    $art'(ua)e Load U! "#

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    $art'(ua)e Load U! "#

    eimic Eone B&P 3

    $art'(ua)e Load U! "#

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    1-(3.2.1 Dei*n 'ae hear.

    I 3 Importance factor *Table 8=F+

    W 3 Total seismic dead load

    1 3 1esponse factor depends on type of structural system

    *Table 8=.+T 3;lastic fundamental period of vibration$

    $art'(ua)e Load U! "#

    7 = 't,n8

    )t3 "$">! for steel moment resisting frame

    $art'(ua)e Load U! "#

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    1-(3.2.1 Dei*n 'ae hear.

    *"$ )a I+: this coefficient is also independent of

    the period of vibration$ It is a lowerbound value2 #eeping C at some

    minimum value$

    $art'(ua)e Load U! "#

    $art'(ua)e Load U! "#

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    $art'(ua)e Load U! "#

    1-(3.2.1 Dei*n 'ae hear.

    *)v I G 1 T+: acceleration factor *also #nown as a

    seismic base shear coefficient+$ This coefficient

    will govern C for buildings with medium to longfundamental period of vibrations$ The forces in

    these buildings are induced by the velocity

    component of the bedroc# motion$

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    $art'(ua)e Load U! "#

    1-(3.2.1 Dei*n 'ae hear.

    *$! )a IG1+: this coefficient is independent of the period

    of vibration$ It will govern C for buildings with short

    fundamental periods of vibrations2 li#e the buildings

    being studied in this class$ The forces in these stiff

    buildings are generated by the acceleration

    component of the bedroc# motion$

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    $art'(ua)e Load U! "#

    1-(3.2.1 Dei*n 'ae hear.

    *"$4 . v I G 1+: this lower bound coefficient is only

    applicable to structures located in seismic Eone / and

    within J$> miles *! #m+ of a #nown seismic fault$

    $art'(ua)e Load U! "#

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    $art'(ua)e Load U! "#Typica! Bae hear coefficient for aonry

    Typical base shear coefficient values for a regular2 single=story masonry building not located near a fault$ In addition2

    we conservatively assumed that a geotechnical site

    investigation was not completed$ &ecause this type of

    building is so stiff2 the *$! )a I G 1+ coefficient governs C$Eone &oefficient C 3 $"87W

    a C 3 $W

    b C 3 $!8W

    > C 3 $""W

    / C 3 $//W

    $art'(ua)e Load U! "#

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    ertica! ditri'ution: Tota! force ha!! 'e ditri'utedover hei*ht in the fo!!owin* manner:

    =t+ 9

    + )oncentrated force tat top shall determined by:

    + 6orce 6xat each level including level n:

    $art'(ua)e Load U! "#

    $"7TC K $!C6t 3

    " if T K $7 sec$

    $art'(ua)e Load U! "#

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    The in*!e tory 'ui!din* i a pecia!

    cae. n mot cae6 T F . and tthen

    i taken a ?ero.

    rom e%uation (3;1,:

    ,,

    $art'(ua)e Load U! "#

    ertica! ditri'ution:

    ase *'ear $%a&ple

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    ase *'ear $%a&ple&a!cu!ate and ditri'ute the 'ae hear for a

    five tory reidentia! tee! 'ui!din* ,3 ft hi*h6!ocated at Pehawar. Aumin* Doi!

    profi!e.

    V = (0.11 Ca I) W & ' (Cv R *) + $ V = (#.5 Ca I/R) * W

    ,-

    ase *'ear $%a&ple

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan ,

    B 3 "$ Table 8$I)a 3 "$4 Table 8=Q

    )C 3 "$/" Table 8=1

    I 3 Table 8=F

    1 3 /$! Table 8=.

    7 = 't,n8 = (.035)(50)8 = 0.** se%

    ase *'ear $%a&ple

    ase *'ear $%a&ple

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    ase *'ear $%a&ple

    V = (0.11 Ca I) W & ' (Cv R *) + $ V = (#.5 Ca I/R) * W

    (0.11 Ca I) = 0.0308

    (Cv R *) ' ".-

    (#.5 Ca I/R) = 0.1556

    Therefore 'ae hear i e%ua! to:

    & ' ".-$

    ,5

    $art'(ua)e Load U! "#

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan ,7

    Tota! force ha!! 'e ditri'uted over hei*ht in the

    fo!!owin* manner:

    $art'(ua)e Load U! "#

    W!

    W>

    W

    W

    W/

    ase *'ear $%a&ple

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan

    ase *'ear $%a&ple

    As T L "$7 therefore 6t 3 "

    W?3 W>3 W!3 / #ips

    W3 W/3 " #ips

    W 3 / x > M " x 3 4 #ips

    C 3 "$>/7 x 4 3 $"/ #ips

    -3

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan

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    i. tory !eve! 1: 1

    "/h

    /C 23 / 13 C 233 k;ft

    G "ih

    iC 23 / 13 H 1) / 23 H 1) / (3 H 23 / )3 H 1) / ,3 C 2)33 k;ft

    1C 3.72 kip

    -1

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan

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    i. tory !eve! 2: 2

    "/h

    /C 1) / 23 C 253 k;ft

    G "ih

    iC 23 / 13 H 1) / 23 H 1) / (3 H 23 / )3 H 1) / ,3 C 2)33 k;ft

    2C 1.27 kip

    -2

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan

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    i. tory !eve! (: (

    "/h

    /C 1) / (3 C )23 k;ft

    G "ih

    iC 23 / 13 H 1) / 23 H 1) / (3 H 23 / )3 H 1) / ,3 C 2)33 k;ft

    (C 1.7( kip

    -(

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan

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    i. tory !eve! ): )

    "/h

    /C 23 / )3 C 533 k;ft

    G "ih

    iC 23 / 13 H 1) / 23 H 1) / (3 H 23 / )3 H 1) / ,3 C 2)33 k;ft

    )C (.-5 kip

    -)

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    i. tory !eve! ,: ,

    "/h

    /C 1) / ,3 C .33 k;ft

    G "ih

    iC 23 / 13 H 1) / 23 H 1) / (3 H 23 / )3 H 1) / ,3 C 2)33 k;ft

    ,C (.22 kip

    -,

    +ean Return Period

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan --

    The average Time Period (in years) based on

    geological and historical records in which there is agood statistical probability that an earthquake of a

    certain magnitude or a hurricane will recur is called

    Mean Return Period or Recurrence Interval R

    9robability that an event will be exceeded at least once in

    the n years is

    &n= 1-( 1-1/R)n

    9robability of ;xceedence of the event in any one year

    is the inverse of the ean 1eturn 9eriod 3 G1

    +ean Return Period

    +ean Return Period

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    CE-409: Lecture 03 Prof. Dr. Akhtar Naeem Khan -

    )onsidering !"mph with a return period of2 say2 ""years

    is 1easonable as compared to !""mph with a return period of2

    say2 """ years$

    +ean Return Period

    +ean Return Period

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan -5

    &50=1-( 1-1/5)50

    =1- 0.5

    = 0.1 or 1

    ;9a!ple:- A str%tre e9pe%te" to ,ave a li$e o$ 50 #ears ilt

    in lo%alit# ,ere !ean re%rren%e interval o$ an in"stor! o$150!p, is 5 #rs. 7,e proailit# t,at str%tre ill

    en%onter an in"stor! e9%ee"in 150!p, "rin its li$e isni$or! ?il"in 'o"e spe%i$ies t,at t,e eart,qae $or

    ,i%, a il"in ,as to e "esine" s,ol" %orrespon" to aneart,qae it, a retrn perio" o$ @5 #ears.

    Ass!in t,at a il"in ,as servi%e li$e o$ 50 #ears. 7,e

    proailit# t,at it ill e9perien%e an" eart,qae o$ !ean

    retrn perio" @5 in its "esin li$e ol" e:

    /0"' ! ( ! 0)0"

    '! ".1"

    ' "." or "2

    +ean Return Period

    ,&pact Load

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan 1

    prin* $/amp!e

    t i cutomary to e/pre mpact !oad apercenta*e of tatic force.

    $ffect of impact !oad i taken into account inca!cu!ation of !oad.

    f impact i 2, I6 #ive !oad i mu!tip!ied 'y 1.2,

    Accordin* to A& !ive !oad on han*erupportin* f!oor and 'a!cony contruction hou!d

    'e increaed 'y one;third for impact.

    ,&pact Load

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan 2

    oad !o&binations

    1. 1.3!H 1.3"

    2. 3.,!H 3.,"H 3.,#

    (. 3.,!H 3.,"H 3.,$! C dead !oad

    " C #ive !oad

    #C "ind !oad

    $ C $arth%uake !oad

    AD #oad com'ination

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan (

    Jou can ue fo!!owin* !oad com'ination with theparameterA#T9N& 0A!!owa'!e tren*th

    ncreae4to account for the 1( a!!owa'!e

    increae for the wind and eimic !oad

    1. 1.3!H 1.3"

    2. 1.3!H 1.3"H 1.3#

    (. 1.3!H 1.3"H 1.3$

    oad !o&binations

    AD #oad com'ination

    oad !o&binations

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    CE-409: Lecture 03 Prof. Dr Akhtar Naeem Khan )

    016D 0oad )ombinations

    . .D

    #. .#D3 .4L + 0.5(Lror S or R)

    -. .#D3 .4(Lror S or R) + (0.5L or 0.8W)

    4. 1.2D +1.3W + 0.5L + 0.5(Lror S or R)0. .#D5 ."E3 ".0L + 0.2S

    4. ".1D5 (.-Wor ."E

    D ' 6ead load L ' 7ive load

    7r ' Roof 7ive 7oad W ' $ind load

    S ' Snow 7oad E ' Earth8uake load

    R ' Rain $ater or ce

    oad !o&binations

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    CE-409: Lecture 03 Prof. Dr. Akhtar Naeem Khan ,

    "hy on!y Dead !oad in e%uation 014 L

    There may 'e a i*nificant !ive !oad on atructure durin* contruction.

    oreover6 the tructure may have not

    reached it fu!! 25 day tren*th a further

    contruction i uua!!y carried out .

    016D 0oad )ombinations

    oad !o&binations

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    CE-409: Lecture 03 Prof. Dr. Akhtar Naeem Khan -

    ;xample: increase in dead load on the ground floor due bric#s

    lying on the roof for the construction of the first floor

    016D 0oad )ombinations

    oad !o&binations

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    CE-409: Lecture 03 Prof. Dr. Akhtar Naeem Khan

    "hy ne*ative i*n in e%uation 0-4 L

    t account for the ta'i!ity of tructure dueto !atera! !oadin*.

    016D 0oad )ombinations

    oad !o&binations

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    CE-409: Lecture 03 Prof. Dr. Akhtar Naeem Khan 5

    The stabiliEing effect of gravity is reduced and the destabiliEing

    effect of lateral load due to wind or earth'ua#e is increased to

    have the worse situation

    016D 0oad )ombinations

    oad !o&binations

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    CE-409: Lecture 03 Prof. Dr. Akhtar Naeem Khan 7

    ;xample:1oof beams W8N>2 spaced 7ft="in center=to=center2

    support a superimposed dead load of /" psf$ )ode specified roof

    loads are >" psf downward *due to roof live load2 snow2 or rain+and " psf upward or downward *due to wind+$ Determine the

    critical loading for 016D$

    4 31 plf 5 &0 psf 2!0 ft 4 311 plf

    7 4 0

    *7r or S or ) 4 30 psf 2!0 ft 4 (10 plf

    8 4 (0 psf 2!0 ft 4 1&0 plf

    9 4 0

    oad !o&binations

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    CE-409: Lecture 03 Prof. Dr. Akhtar Naeem Khan 53

    + $/

    $/*> plf+ 3 />! plf

    + $ 5 1!67 5 0!'7r or S or )

    $*> plf+ M " M "$!*" plf+ 3 /74 plf

    >+ $ 5 1!67r or S or ) 5 0!'7 or 0!/8

    $*> plf+ M $8 *" plf+ M"$4*/" plf+ 3 4 plf

    /+ $ 5 1!38 5 0!'7 5 0!'7r or S or )

    $*> plf+ M $>*/" plf+ M " M"$!*" plf+ 3 88" plf

    oad !o&binations

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    CE-409: Lecture 03 Prof. Dr. Akhtar Naeem Khan 51

    !+ $ : 1!09 5 0!'7 5 0!(S$*> plf+ M " M " M "$*" plf+ 3 /! plf

    8+ "$J : 1!38 or 1!09

    a+ "$J *> plf+ M $> */" plf+ 3 /8 plfb+ "$J*> plf+ = $>*/" plf+ 3 J4 plf

    The critical factored load combination for design is the third2 with

    a total factored load of 4 plf$

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    T'an) -ou.