Steel Bridges Ppt

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    A

    PRESENTATION ON

    STEEL BRIDGES

    PRESENTED BY:

    PATEL VIVEK D.

    SD0608

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    CONTENTES

    INTRODUCTION

    TYPES OF BRIGES

    LOADS ON BRIGES INTRODUCTION OF INFLUENCE LINES

    I.L.D ANALYSIS FOR A GIRDER

    I.L.D ANALYSIS FOR A TRUSS REFERENCES.

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    Steel bridges

    The main advantages of structural steel overother construction materials are its strength andductility.

    It has a higher strength to cost ratio in tensionand a slightly lower strength to cost ratio incompression when compared with concrete.

    The stiffness to weight ratio of steel is much

    higher than that of concrete. Thus, structuralsteel is an efficient and economic material inbridges.

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    Classification of steel bridges

    Steel bridges are classified according to

    The type of traffic carried.

    The type of main structural system. The position of the carriage way relative to

    the main structural system.

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    Bridges are classified as

    Highway or road bridges Railway or rail bridges

    Road - cum - rail bridges

    Classification based on type of traffic carried

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    Classification based on the main structural

    system

    Girder bridges

    Trusses steel

    bridges

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    Typical rigid frame bridge

    Typical arch bridges

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    Normal span ranges of bridge system

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    DECK BRIDGE

    THROUGH BRIDGE

    SEMI-THROUGH BRIDGE

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    LOADS ON BRIGES

    Dead load

    Live load

    Impact load

    Longitudinal force

    Wind load

    Seismic load

    Forces due to curvature.

    Forces on parapets Frictional resistance of expansion bearings

    Erection force

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    LOADING

    IRC class AA loading

    consists of either a tracked

    vehicle of 70 tonnes or a

    wheeled vehicle of 40

    tonnes with dimensions asshown in Fig. Tracked vehicle

    Wheeled vehicle

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    bridges on national highways and state highways are designed for these

    loadings.

    Bridges designed for class AA should be checked for IRC class A loading

    also, since under certain conditions, larger stresses may be obtained

    under class A loading.

    Class A loading consists of a wheel load train composed of a driving

    vehicle and two trailers of specified axle spacing.

    This loading is normally adopted on all roads on which permanent bridges

    are constructed.

    Class B loading is adopted for temporary structures and for bridges inspecified areas.

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    ANALYSIS METHOD

    Influence line diagram for any structure

    elements for reaction at a support, the S.F. at

    section, the B.M. at a section is a graphical

    representation of its variation due to changingposition of rolling unit load throughout the

    span of the structure.

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    Influence Line

    Definitions

    Response Function support reaction, axial

    force, shear force, or bending moment.

    Influence Line graph of a response function of a structure

    as a function of the position of a downward unit load

    moving across the structure structure.

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    Influence lines for beams and plate

    girders

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    Consider a section 1-1 and assume unit-rolling

    load is at a distance x from L0.Then, from

    equilibrium considerations reactions at L8 and

    L0 are determined. The reactions are:

    Reaction at L8 =(X/L)

    Reaction at L0 =(1-X/L)

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    A girder span of 20 m is simply supported t its ends. fours wheel loads

    150KN,150KN,250KN and 100KN traverse the girder from right to left with

    100 KN load leading. Distance between wheel loads is 3m each.

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    First 150KN is at c : S.F.= SC1

    second 150KN is at c : S.F.= SC2

    w1/a > w/l

    w1/a = 150/3 =50 and w/l = 660/20=32.5

    but w1/a > w/lSC1 > SC2

    put first 150 KN load on c.

    MAX. S.F. at C = loads*ordinates

    =(150*0.6) + (150*0.45+250*0.3+100*0.15)=247.5 KN(8m from left support)

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    Average load on left= Average load on right

    (1) only 100 KN load on right side of 8m

    Average load on left =loads/spans=550/8=68.75

    Average load on right=loads/spans=100/8=8.33

    (2) 250 KN crosses point c:Average load on left =loads/spans=300/8=37.5

    Average load on right=loads/spans=350/12=29.17

    (3) 150KN crosses point c:

    Average load on left =loads/spans=150/8=18.75

    Average load on right =loads/spans=350/12=41.67

    Average load on left

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    MAX. B.M.at C = loads* ordinates

    =(150*3) + (150*4.8+250*3.6+100*2.4)

    = 2310 kN-m

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    Definitions of truss bridges

    A truss is an assemblage of a number of

    straight members arranged in a triangle or

    combination of triangles to form a rigid frame

    work

    A joint is a connection where two or more

    members of the truss are fastened together

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    SYSTEM FOR TRUSS BRIDGE

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    If the cross girders are connected to top

    panels points, then load is transferred to top

    panel points and type of bridge girders are

    knows as deck bridge girders.

    If the cross girders are connected to bottom

    panels points, then load is transferred through

    bottom panel points and type of bridgegirders are knows as through bridge girders.

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    Influence Lines for truss

    Consider the bridge in Fig. 1.

    As the car moves across the bridge, the forces

    in the truss members change with the position

    of the car and the maximum force in each

    member will be at a different car location.

    The design of each member must be based on

    the maximum probable load each member

    will experience.

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    Bridge Truss Structure

    Subjected to a Variable

    Position Load

    Therefore, the truss analysis for each member

    would involve determining the load position that

    causes the greatest force or stress in each member.

    If a structure is to be safely designed, members

    must be proportioned such that the maximum

    force produced by dead and live loads is less than

    the available section capacity.

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    Structural analysis for variable

    loads consists of two steps:

    1.Determining the positions of the loads atwhich the which response function is

    maximum; and

    2.Computing the maximum value of the

    response function

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    Once an influence line is

    constructed:

    Determine where to place live load on a

    structure to maximize the drawn response

    function; and

    Evaluate the maximum magnitude of the

    response function based on the loading.

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    CALCULATION FOR U1U2(TOP CHORD MEMBER)

    Consider section at 1-1

    Moment @ l2 (As member u1L2 and L1L2 passes though l2)

    When unit load is in left section or part, consider equilibrium of right part.

    P-u1u2= V2 * (L2L4/H)

    P-u1u2= V2 * (8/3) COMPRE.

    When unit load is at L0 Pu1u2=0

    When unit load is at L1, V2=1/4

    Pu1u2 =1/4*8/3= 2/3 compression

    When unit load is in right section or part, consider equilibrium of left part only.

    When unit load is at L2 Pu1u2=4/3 compression

    When unit load is at L3 Pu1u2=2/3 compression

    When unit load is at L4 Pu1u2=0

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    CALCULATION FOR L1L2(BOTTOM CHORD MEMBER)

    Consider section at 1-1 Moment @ U1 (As member u1L1 and U1U2 passes though U1)

    When unit load is in left section or part, consider equilibrium of right part.

    P-L1L2= V2 * (L1L4/H)

    P-u1u2= V2 * (12/3)

    When unit load is at L0 PL1L2=0 When unit load is at L1, V2=1/4

    PL1L2 =1/4*12/3= 1

    When unit load is in right section or part, consider equilibrium of left partonly.

    When unit load is at L2 L1L2=2/3

    When unit load is at L3 L1L2=1/3

    When unit load is at L4 L1L2=0

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    CALCULATION FOR U1L2(DIAGONAL MEMBER)

    Consider section at 1-1

    When unit load is in left section or part, consider equilibrium of right part.

    P-U1L2sin= V2 compression

    P-U1L2= V2 cosec=1.67V2

    When unit load is at L0 U1L2=0 When unit load is at L1, V2=1/4cosec=0.417

    Pu1u2 =0.417 compression

    When unit load is in right section or part, consider equilibrium of left part

    only.

    When unit load is at L2 Pu1u2=1.67*V1=0.833 tension

    When unit load is at L3 Pu1u2=1.67V1=0.417 tension

    When unit load is at L4 Pu1u2=0

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    FORCE IN MEMBER

    As the whole span is greater then the span of the truss thereforewhole truss is loaded at the bottom chords.

    Member is compressive throughout so no tensile force isdeveloped.

    force in U1U2 =intensity*area covered

    =10*1/2*4/3*16

    =106.67kn(c)

    Moving load acts on any panel point therefore, force in member istensile only.

    force in L1L2=intensity*area covered=10*1/2*1*16

    =106.67kn(c)

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    FORCE IN MEMBER

    Member U1L1

    Member is tensile in some part an in compression for some part.

    Area above base line gives compression line gives compression area

    and below baseline gives tensile area.

    Max. compression=intensity*compression areaMax. compression=10*1/2*10.667*2/4

    =26.67kn

    Max. tension = 10*1/2*1/4*5.33

    =6.66kn

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    FORCE IN MEMBER

    Member U1L2

    Max. compression=intensity*compression area

    Max. compression=10*1/2*0.417*5.33

    =11.11kn

    Max. compression=10*1/2*0.834*10.667

    =44.48kn

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    THANKS