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Shaping of Axially Compressed Bipolarly Prestressed Closely Spaced Built-Up Members

Monika SIEDLECKA
Monika SIEDLECKA
   | 08 apr 2020
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Pubblicato online: 08 apr 2020
Pagine: 87 - 100
Ricevuto: 05 set 2019
Accettato: 28 dic 2019
DOI: https://doi.org/10.21307/acee-2020-007
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© 2020 Monika Siedlecka published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

Examples of composite closely spaced built-up member (CSBUM) sections built of a pair of: (a)–(f) channel sections, (g)–(l) angle sections
Examples of composite closely spaced built-up member (CSBUM) sections built of a pair of: (a)–(f) channel sections, (g)–(l) angle sections

Figure 2.

Bipolar prestressing diagram of prestressed CSBUM with symmetrical boundary conditions [42]
Bipolar prestressing diagram of prestressed CSBUM with symmetrical boundary conditions [42]

Figure 3.

Exemplary diagrams of BPCSBUMs
Exemplary diagrams of BPCSBUMs

Figure 4.

Geometry of an example BPCSBUM with two-sided pinned support (a) view, (b) cross-sections
Geometry of an example BPCSBUM with two-sided pinned support (a) view, (b) cross-sections

Figure 5.

Static model of the CSBUM chord in the prestressing zone
Static model of the CSBUM chord in the prestressing zone

Figure 6.

An example of finite element grid
An example of finite element grid

Figure 7.

An example of a BPCSBUM – calculation steps: (a) Initial, (b) Prestressing, (c) Buckling analysis
An example of a BPCSBUM – calculation steps: (a) Initial, (b) Prestressing, (c) Buckling analysis

Figure 8.

Calculation example (a) standard CSBUM (b) BPCSBUM
Calculation example (a) standard CSBUM (b) BPCSBUM

Figure 9.

The result of FEM simulation on BPCSBUM built from a pair of UPE120 channel sections with the length of the prestressing zone L2 = 2100 mm: (a) 3D view, (b)–(e) 2D view according to the thickness of the spacer td: (b) td = 4 mm, (c) td = 8 mm, (d) td = 12 mm, (e) td = 16 mm
The result of FEM simulation on BPCSBUM built from a pair of UPE120 channel sections with the length of the prestressing zone L2 = 2100 mm: (a) 3D view, (b)–(e) 2D view according to the thickness of the spacer td: (b) td = 4 mm, (c) td = 8 mm, (d) td = 12 mm, (e) td = 16 mm

Figure 10.

The result of FEM simulation on BPCSBUM built from a pair of UPE120 channel sections with the length of the prestressing zone L2 = 2100 mm: (a) 3D view, (b)–(e) 2D view according to the thickness of the spacer td: (b) td = 4 mm, (c) td = 8 mm, (d) td = 12 mm, (e) td = 16 mm
The result of FEM simulation on BPCSBUM built from a pair of UPE120 channel sections with the length of the prestressing zone L2 = 2100 mm: (a) 3D view, (b)–(e) 2D view according to the thickness of the spacer td: (b) td = 4 mm, (c) td = 8 mm, (d) td = 12 mm, (e) td = 16 mm

Figure 11.

Comparison of numerical (FEM) and analytical (mod) results for BPCSBUM: (a) 2xUPE120, L2 = 2100 mm, (b) 2xUPE120, L2 = 2400 mm
Comparison of numerical (FEM) and analytical (mod) results for BPCSBUM: (a) 2xUPE120, L2 = 2100 mm, (b) 2xUPE120, L2 = 2400 mm

Figure 12.

Comparison of numerical (FEM) and analytical (mod) results for BPCSBUM: (a) 2xUPE160, L2 = 2100 mm, (b) 2xUPE160, L2 = 2100 mm
Comparison of numerical (FEM) and analytical (mod) results for BPCSBUM: (a) 2xUPE160, L2 = 2100 mm, (b) 2xUPE160, L2 = 2100 mm

Figure 13.

Critical load bearing capacity of BPCSBUM built of: (a) 2xUPE120, (b) 2xUPE160
Critical load bearing capacity of BPCSBUM built of: (a) 2xUPE120, (b) 2xUPE160

Description of the BPCSBUM geometry

2xUPE120
L2 [mm] 2100 2400
td [mm] 4 8 12 16 4 8 12 16
Jz1(8) [cm4] 258.50
Jz2(x=150.0) (9) [cm4] 286.99 318.18 352.04 388.60 286.99 318.18 352.04 388.60
Jz,sr (14) [cm4] 268.48 279.39 291.24 304.04 269.90 282.37 295.92 310.54
2xUPE160
L2 [mm] 2100 2400
td [mm] 4 8 12 16 4 8 12 16
Jz1(8) [cm4] 457.42
Jz2(x=150.0) (9) [cm4] 501.02 548.42 599.62 654.60 501.02 548.42 599.62 654.60
Jz,sr (14) [cm4] 472.68 489.27 507.19 526.43 474.86 493.82 514.30 536.29

Geometric characteristics of UPE120 and UPE160

Section Ach Jy,ch Jz,ch iz,ch ez,ch
[cm2] [cm4] [cm4] [cm] [cm]
UPE120 16.8 392 60.7 1.90 2.02
UPE160 23.7 965 114 2.19 2.20

Critical load capacity of BPCSBUM

L2 td=Smax Ncr mod(23) Ncr,PBSB MES ζ1 ζ2
[mm] [mm] [kN] [kN] [%] [%]
2xUPE120
2100 4 601.2 594.4 1.14 18.72
8 624.9 631.8 -1.09 23.40
12 650.6 671.1 -3.06 28.48
16 678.3 712.0 -4.73 33.95
2400 4 615.2 570.9 7.76 21.49
8 643.4 608.1 5.81 27.05
12 673.9 647.7 4.05 33.08
16 706.8 689.5 2.51 39.57
2xUPE160
2100 4 1060.3 1043.0 1.66 17.32
8 1096.5 1097.0 -0.05 21.32
12 1135.5 1154.2 -1.62 25.64
16 1177.3 1180.2 -0.25 30.26
2400 4 1083.1 1005.8 7.69 19.84
8 1125.9 1061.0 6.12 24.57
12 1172.1 1119.1 4.74 29.69
16 1221.7 1187.8 2.85 35.17
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