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

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25 ene 2023

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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)