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Overstrength and ductility factors of XBF structures with pinned and fixed supports

Djamal Yahmi
Djamal Yahmi
, 
Taïeb Branci
Taïeb Branci
, 
Abdelhamid Bouchaïr
Abdelhamid Bouchaïr
 e 
Eric Fournely
Eric Fournely
   | 25 gen 2023
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Article Category: Original Study
Pubblicato online: 25 gen 2023
Pagine: 41 - 54
Ricevuto: 08 nov 2021
Accettato: 14 nov 2022
DOI: https://doi.org/10.2478/sgem-2022-0028
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© 2023 Djamal Yahmi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Base shear versus roof displacement relationship [5, 22].
Base shear versus roof displacement relationship [5, 22].

Figure 2

Studied frames.
Studied frames.

Figure 3

Plastic hinges of a cross section [32].
Plastic hinges of a cross section [32].

Figure 4

Capacity curves of the analyzed six stories steel frame.
Capacity curves of the analyzed six stories steel frame.

Figure 5

Capacity curves of the analyzed frames.
Capacity curves of the analyzed frames.

Figure 6

Plastic hinges’ distribution of the studied frames with λ1 = 1.93.
Plastic hinges’ distribution of the studied frames with λ1 = 1.93.

Figure 7

Deformation in time of three-storey frame with λ1 = 1.93 under TD.
Deformation in time of three-storey frame with λ1 = 1.93 under TD.

Figure 8

Behavior factor of the studied frames.
Behavior factor of the studied frames.

Figure 9

Behavior factor of the studied frames.
Behavior factor of the studied frames.

Modal periods and mass ratios of the analyzed XBF steel structures.

Storey number λi T1 (s) T2 (s) T3 (s) M*1 M*2 M*3 Vd/W
Three stories λ1 = 1.93 0.41 0.14 0.09 0.86 0.11 0.02 0.22
λ2 = 1.56 0.36 0.13 0.08 0.87 0.10 0.02 0.23
λ3 = 1.30 0.32 0.11 0.07 0.85 0.12 0.02 0.23
Six stories λ1 = 1.93 0.83 0.28 0.16 0.78 0.15 0.03 0.13
λ2 = 1.56 0.75 0.25 0.14 0.79 0.15 0.03 0.14
λ3 = 1.30 0.68 0.22 0.12 0.77 0.16 0.04 0.16
Nine stories λ1 = 1.93 1.37 0.44 0.24 0.75 0.17 0.04 0.08
λ2 = 1.56 1.24 0.40 0.22 0.76 0.17 0.04 0.09
λ3 = 1.30 1.10 0.34 0.19 0.75 0.19 0.04 0.10

XBF steel structures considered in parametric studies.

Storey number λi Columns: HEB (N° of storey) Braces: TUBO (N° of storey)
Three stories λ1 = 1.93 220 (1–3) 127X4 (1) + 108X3.6 (2) + 101.6X3.6 (3)
λ2 = 1.56 240 (1–3) 152.4X4 (1) + 133X4 (2) + 127X4 (3)
λ3 = 1.30 260 (1–3) 193.7X4.5 (1) + 159X4 (2) + 139.7X4 (3)
Six stories λ1 = 1.93 240 (1–2) + 220 (3–4) + 200 (5–6) 127X4 (1–3) + 108X3.6 (4) + 101.6X3.6 (5) + 82.5X3.2 (6)
λ2 = 1.56 260 (1–2) + 240 (3–4) + 220 (5–6) 152.4X4 (1–2) + 139.7X4 (3) + 133X4 (4) + 127X4(5) + 101.6X3.6 (6)
λ3 = 1.30 280 (1–2) + 260 (3–4) + 240 (5–6) 193.7X4.5 (1–2) + 168.3X4 (3) + 159X4 (4) + 139.7X4(5) + 127X4 (6)
Nine stories λ1 = 1.93 260 (1–3) + 240 (4–6) + 220 (7–9) 127X4 (1–4) + 108X3.6 (5–6) + 101.6X3.6 (7) + 88.9X3.2 (8) + 76.1X3.2 (9)
λ2 = 1.56 280 (1–3) + 260 (4–6) + 240 (7–9) 152.4X4 (1–3) + 139.7X4 (4) + 133X4 (5) + 127X4 (6–7) + 108X3.6 (8) + 88.9X3.2 (9)
λ3 = 1.30 320 (1–3) + 300 (4–6) + 280 (7–9) 193.7X4.5 (1–4) + 159X4 (5) + 152.4X4 (6) + 139.7X4 (7) + 127X4 (8) + 108X3.6 (9)
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