Skip to main content
Have a personal or library account? Click to login
Comparative Study of Steel Buildings with Eccentrically Inverted V-Brace Frames and Concentrically Inverted V-Brace Frames Cover

Comparative Study of Steel Buildings with Eccentrically Inverted V-Brace Frames and Concentrically Inverted V-Brace Frames

Open Access
|Jun 2026

Figures & Tables

Figure 1:

Schematization of eccentrically inverted V-brace frames (EBFs) and concentrically inverted V-brace frames (CBF)

Figure 2:

Plan layout of eccentrically inverted V-brace frames (EBFs) and concentrically inverted V-brace frames (CBFs)

Figure 3:

Plastic hinges in models with 12 and 9 storyes

Figure 4:

Probabilities for models

Story drifts for buildings with 9 story

StoryDrift ratios [%] of EBFs modelDrift ratios [%] of CBFs model
90.00750.0087
80.00550.0075
70.00540.0068
60.00510.0058
50.00470.0058
40.00460.0053
30.00440.0047
20.00340.0039
10.00150.0019

Seismic parameters according to American Society of Civil Engineers (2022) and C_O_S_Q_C_ (2017)

Seismic parametersValues [-]According to
Risk CategoryII (offices)(C.O.S.Q.C., 2017; American Society of Civil Engineers, 2022, Table 1.5-1)
Occupancy Importance Factor Ie1(C.O.S.Q.C., 2017; American Society of Civil Engineers, 2022, Table 1.5-1)
Seismic Design Category given that site class D (stiff silty clay soil ) and depends on (0.133 ≤ SD1 < 0.20)C(American Society of Civil Engineers, 2022, Table 11.6-2)
S1: mapped MCER, spectral response acceleration parameter at a long-period (at a 1.0 s-period),0.1(C.O.S.Q.C., 2017)
SS :mapped MCER, spectral response acceleration parameter at short periods (at a 0.2 s-period),0.3(C.O.S.Q.C., 2017)
SDS : design spectral response acceleration parameter at short periods,0.312(C.O.S.Q.C., 2017)
SD1 : design spectral response acceleration parameter at a period of 1.0 s,0.160(C.O.S.Q.C., 2017)
Damping5 %
Response reduction factor (R)Eccentrically Braced Frames (EBF) =8 Special Concentrically Braced Frames (SCBF)=6(American Society of Civil Engineers, 2022, Table 12.2-1)
Site classD(C.O.S.Q.C., 2017)
Overstrength Factor, Ω02(American Society of Civil Engineers, 2022, Table 12.2-1)
Deflection Amplification Factor, CdEccentrically Braced Frames (EBF) =4 Special Concentrically Braced Frames (SCBF)=5(American Society of Civil Engineers, 2022, Table 12.2-1)

Descriptions of primary structural performance levels (S-P Levels) according to American Society of Civil Engineers (2017) and Federal Emergency Management Agency (2000)

S-PDescriptionOverall Damage State
Immediate Occupancy (IO)The building is safe to occupy and continues to function with minor damage and only limited cleanup. Repairs are not required before re-occupancy.Minor yielding may occur in some elements (e.g., brace end zones, beam-end plastic hinges), but no significant strength or stiffness loss is permitted.
Life Safety (LS)The structure is damaged significantly but retains a substantial margin against partial or total collapse. The risk of injury due to structural failure is low. Repair may be required before re-occupancy.Moderate inelastic deformation is widespread. May involve yielding and minor local buckling of steel members (e.g., beam flanges, column webs) in moment frames or significant yielding in bracing members.
Collapse Prevention (CP)The structure is heavily damaged and may be beyond economical repair, but it maintains its gravity load-carrying capacity. The structure retains no margin against collapse.Extensive inelastic deformation is permitted. May involve severe local buckling, significant out-of-plane distortion, and fracture of non-load-bearing elements, provided the gravity system remains stable.
  • Green (BC): Represents (between the initial stiffness and the Immediate Occupancy level IO).

  • Blue (CD): (Life Safety performance level LS).

  • Pink/Yellow/Orange (DE): Represents (between Life Safety LS and Collapse Prevention CP).

  • Red (After E): Represents (Collapse Prevention level CP).

Story drifts for buildings with 12 story

StoryDrift ratios [%] of EBFs modelDrift ratios [%] of CBFs model
120.00510.0065
110.00600.0068
100.00890.0111
90.00770.0084
80.00480.0054
70.00440.0050
60.00320.0045
50.00320.0045
40.00290.0048
30.00320.0054
20.00230.0040
10.00120.0017

Structural sections for the building

BuildingStoriesMarginal Columns [mm]Central Columns [mm]Beams [mm]Bracing [mm]Link [mm]
9 - story1st – 3rd740x630/30x45580x470/20x35430x300/18x25490x350/15x20444x220/15x18
4th – 6th610x560/25x40510x480/20x30390x280/15x20464x330/12x18400x200/10x15
7th – 9th580x480/20x35434x360/18x25350x250/10x15370x260/10x15350x180/10x15
12 - story1st – 3rd610x510/x25x40490x410/20x35350x200/15x25360x260/10x15364x130/10x18
4th – 6th450x410/20x30400x410/15x25310x200/10x15277x240/10x15316x100/8x12
7th – 9th450x370/15x25394x300/15x18250x180/10x15300x220/10x15280x100/6x10
10th – 12th400x330/15x20370x280/12x15236x180/8x12276x200/10x12260x100/6x10

Displacement (mm) corresponding to damage states for models

ModelsProbability of slight stateProbability of moderate stateProbability of extensive stateProbability of complete state
at 50%at 90%at 50%at 90%at 50%at 90%at 50%at 90%
EBFs-12 story97100133142181204438-
CBFs-12 story6695123137157167198-
EBFs-9 story115134182226293334640-
CBFs-9 story9092122132203219392-

Damage state thresholds (Federal Emergency Management Agency, 2003)

Damage stateDamage state thresholds [mm]
SlightSdds1 = 0.70 x Dy
ModerateSdds2 = Dy
SevereSdds3 = Dy + 0.75 (Du - Dy)
CompleteSdds4 = Du
DOI: https://doi.org/10.2478/cee-2026-0066 | Journal eISSN: 2199-6512 | Journal ISSN: 1336-5835
Language: English
Page range: 954 - 966
Submitted on: Oct 12, 2025
Accepted on: Nov 4, 2025
Published on: Jun 19, 2026
Published by: University of Žilina
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2026 Hussein Hakim Hasan, Weaam Majeed Arif, published by University of Žilina
This work is licensed under the Creative Commons Attribution 4.0 License.