Submitted:
12 September 2025
Posted:
15 September 2025
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Abstract
Keywords:
1. Introduction
2. Analytical Study
2.1. Structural Overview
- • Height: 130 m;
- • Base outer diameter: 9.2 m, thickness: 40 cm;
- • Upper outer diameter: 7.2 m at 128 m and 4.2 m at 130 m, thickness: 20 cm;
- • Concrete quality: C30/70;
- Operating temperature: 130°C;
- Concrete unit weight: 2500 kg/m3;
- The chimney is considered as fixed from the bottom;
- Internally it is lined with a brick fire extinguishing chimney;
- Insulation: 10 cm rock wool;
- In the order of linear interpolation, the wall thickness and diameter change (decrease) from bottom to top;
- Equivalent surface roughness, for smooth concrete according to EN 1991-1-4 Table 7.13 [29];
- Internal concrete floors at 6 m, 9.6 m, 18 m, and above at intervals of 10 m (average radius of 1.45 m) and steel platforms covering 45° from the outer diameter radius;
- Steel platform of 360° at the height of 68 m;
- At the height of 6 m, the radius is 3.5 m.
2.2. Material Properties
- Concrete compressive strength: 27.5 MPa;
- Elasticity modulus of concrete : 25 GPa;
- Poisson ratio of concrete: 0.2;
- Unit volume weight of concrete: 2400 kg/m3;
- Yield strength of steel: 414 MPa;
- Tensile strength: 620 MPa;
- Modulus of elasticity of steel : 200 GPa;
- Unit volume weight of steel: 7750 kg/m3.
2.3. Loading Conditions
- Dead loads: self-weight of concrete, steel platforms, ladders, insulation (10 cm rock wool, , and fire brick lining (8 cm thickness,);
- Live loads: maintenance and operational loads;
2.3.1. Wind Load Calculation
- 28 m/s (0–8 m);
- 36 m/s (8–20 m);
- 42 m/s (20–100 m), and;
- 46 m/s (>100 m).
2.3.2. Seismic Load Calculation
- Soil class: ZE
- Short-period spectral acceleration coefficient: ;
- 1-second period spectral acceleration coefficient: ;
- Short-period design spectral acceleration coefficient: ;
- 1-second period design spectral acceleration coefficient: .
2.4. Load Combinations
- Vertical loads only;
- 2.
- Wind load cases;
- 3.
- Seismic load cases;
- 4.
- Lateral soil pressure cases.
2.5. Structural Modeling
2.6. Load Application
3. Results and Discussion
3.1. Overview of the Analytical Model
3.2. Structural Responses and Comparative Code Evaluation
4. Conclusions and Recommendations
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Height above ground (m) | (kN/m2) | Diameter (m) | Reynolds number | Force coefficient | Wind force per m2 (kN) | Ref. area (m2) | Wind force per meter (kN/m) | Wind Pressure (kN/m2) | |
|---|---|---|---|---|---|---|---|---|---|
| 8 | 1.16 | 9.10 | 2.64E+06 | 0.49 | 1.25 | 0.71 | 72.8 | 51.5 | 0.71 |
| 18 | 2.33 | 8.91 | 3.66E+06 | 0.50 | 1.25 | 1.44 | 89.1 | 128.5 | 1.44 |
| 28 | 3.51 | 8.75 | 4.42E+06 | 0.50 | 1.25 | 2.20 | 87.5 | 192.9 | 2.20 |
| 38 | 3.74 | 8.60 | 4.48E+06 | 0.50 | 1.25 | 2.35 | 86 | 202.0 | 2.35 |
| 48 | 3.93 | 8.44 | 4.51E+06 | 0.51 | 1.25 | 2.51 | 84.4 | 211.5 | 2.51 |
| 58 | 4.1 | 8.29 | 4.52E+06 | 0.51 | 1.25 | 2.61 | 82.85 | 216.5 | 2.61 |
| 68 | 4.22 | 8.13 | 4.50E+06 | 0.51 | 1.25 | 2.69 | 81.3 | 218.7 | 2.69 |
| 78 | 4.33 | 7.98 | 4.47E+06 | 0.53 | 1.25 | 2.84 | 79.75 | 226.6 | 2.84 |
| 88 | 4.43 | 7.82 | 4.43E+06 | 0.53 | 1.25 | 2.91 | 78.2 | 227.3 | 2.91 |
| 98 | 4.52 | 7.66 | 4.39E+06 | 0.53 | 1.25 | 2.97 | 76.6 | 227.2 | 2.97 |
| 108 | 5.53 | 7.51 | 4.76E+06 | 0.56 | 1.25 | 3.89 | 75.1 | 292.0 | 3.89 |
| 118 | 5.62 | 7.35 | 4.69E+06 | 0.56 | 1.25 | 3.95 | 73.5 | 290.4 | 3.95 |
| 128 | 5.7 | 7.20 | 4.63E+06 | 0.56 | 1.25 | 4.01 | 72 | 288.6 | 4.01 |
| Parameter | TBEC-2018 [2] | TBEC-2007 [3] |
|---|---|---|
| Wind displacement | 32 cm | 41.5 cm |
| Seismic displacement | 34 cm | 34 cm |
| Base shear (wind) | 274 t | 138 t |
| Base shear (earthquake, dynamic) | 216 t | 147 t |
| Base moment (earthquake, dynamic) | 10,175 t.m | 7,754 t.m |
| Max shell stress (wind) | 0.247 N/mm2 | — |
| Max shell stress (earthquake) | 0.112 N/mm2 | — |
| Total structural weight | 3,190 t | 3,057 t |
| Modal mass participation (dynamic modes) | 91% in 19 modes | ≥79% in 24 modes |
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