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    Loads on structures:

    - -. .- Dynamic (e.g. earthquake)

    - Linear (constant stiffness)- Nonlinear (variable stiffness)

    Structural Analysis Approaches:-(least accurate; least complex)

    -- Nonlinear static (pushover)- Nonlinear d namic time histor

    (most accurate; most complex)

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    Pushover analysis: pp y ng a orce str ut onorce str ut on to t e structure n an

    incremental fashion while monitoring theu vv

    base shear (V b) versus control nodecontrol node displacement N .

    compromise the simplicity of linear static approachesu y y .

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    1- Nonlinearity sources:

    - -(consider or not: codes)

    -(too many materials behavior models)

    2- Nonlinearity modeling:

    - Concentrated - Distributed

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    Plastic hinge properties:

    - -

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    Plastic hinge properties:- using codes tabulated properties

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    -- a single concentrated force at the top

    -

    - in ro ortion to the standard code rocedure:

    / x x x x xF w h w h V - in proportion to the product of story masses and

    predominant mode shape of the elastic model of thestructure

    / x x x x xF w w V

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    4- Control node:- For common buildings, the control node could beselected as roof (top) story node

    - Pushover analysis is stopped when the structure reaches:re-defined dis lacement

    or

    ultimate capacity

    -application of lateral loads

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    -The global response of the structure and individual

    light of the specific performance goals of the system

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    Using SAP2000 for Pushover Analysis

    We will use the same frame (elastic beams), justmodify dead loads:

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    1- Run Modal Analysis

    1 . 0 .

    0 . 3 4 5

    Select lateral load pattern:

    1 0 0 0

    3 4 5 x

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    2- Lateral Load Case

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    3- Define Push Load Case

    1 2

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    4- Assign Plastic Hinges

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    4- Assign Plastic Hinges

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    5- Run

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    6- Results OutputDisplay displacement:

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    7- Checking Hinges Status

    At 0.5 ft roof dis lacement: the erformance levelof the system is Collapse Prevention (CP)