May 01, 2023

what are the limitation of Displacement Coefficient Method

I reviewed ten sources during my research process. Most of the sources did not provide information directly related to the limitations of the Displacement Coefficient Method (DCM). However, I found relevant information from one source, which discussed the limitations and various aspects of seismic analysis . Given the limited information found, the certainty in my research is relatively low.

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Limitations of Displacement Coefficient Method

According to a Seismic Analysis presentation on SlideShare, the limitations of the Displacement Coefficient Method include:
  • Restricted use in high seismic zones and for tall structures
  • Limited to structures with significant continuity in mass and stiffness along height
  • Limited to structures with modes of vibration lower than the fundamental mode
  • Seismic Analysis Overview

    Seismic analysis of structures involves evaluating factors such as load carrying capacity, ductility, stiffness, damping, and mass. Analysis procedures for seismic analysis include Linear Static Analysis, Nonlinear Static Analysis (Pushover Analysis), Linear Dynamic Analysis (Response Spectrum Method), and Nonlinear Dynamic Analysis.

    Pushover Analysis and Displacement Coefficient Method

    Pushover Analysis is used to estimate the strength and drift capacity of existing structures and seismic demand for selected earthquakes. Two methods can be used to calculate target displacement for Pushover Analysis: Displacement Coefficient Method (DCM) of FEMA 356 and Capacity Spectrum Method (CSM) of ATC 40. The DCM estimates the elastic displacement of an equivalent single-degree-of-freedom (SDOF) system assuming initial linear properties and damping for the ground motion excitation under consideration.

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    Source: "Seismic Analysis - SlideShare" (from web, www.slideshare.net)

    • Limitations of Displacement Coefficient Method include:
      • Restricted use in high seismic zones and for tall structures
      • Limited to structures with significant continuity in mass and stiffness along height
      • Limited to structures with modes of vibration lower than the fundamental mode
    • Seismic analysis of structures involves evaluating factors such as load carrying capacity, ductility, stiffness, damping, and mass.
    • Analysis procedures for seismic analysis include Linear Static Analysis, Nonlinear Static Analysis (Pushover Analysis), Linear Dynamic Analysis (Response Spectrum Method), and Nonlinear Dynamic Analysis.
    • Linear Static Analysis involves calculating the design base shear for the whole building, distributing it along the building height, and distributing lateral forces to individual lateral load-resisting elements.
    • Pushover Analysis is used to estimate the strength and drift capacity of existing structures and seismic demand for selected earthquakes.
    • Pushover Analysis involves increasing monotonically the magnitude of lateral load, displacing the building until the control node reaches target displacement or collapses, observing the sequence of cracking, plastic hinging, and failure of structural components, and plotting the relation between base shear and control node displacement.
    • Pushover Analysis can be carried out using different lateral load patterns, including Uniform Distribution and Adaptive Load Distribution.
    • Two methods can be used to calculate target displacement for Pushover Analysis: Displacement Coefficient Method (DCM) of FEMA 356 and Capacity Spectrum Method (CSM) of ATC 40.
    • Linear Dynamic Analysis takes into account multiple mode shapes of the building and uses modal combination methods to estimate the total response of the structure.
    • Modal Analysis involves calculating Modal Mass, Modal Participation Factor, Design Lateral Force, Storey Shear Forces, and Lateral Forces in each storey due to all modes considered.
    • Modal Combination involves combining peak response quantities using the Complete Quadratic Combinations (CQC) method.

    Source: "Part 3: Capacity Spectrum Method & Displacement..." (from web, www.youtube.com)

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    Source: "5 state three limitations of using the displace..." (from web, www.coursehero.com)

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