Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Figure 6.

Figure 7.

Figure 8.

Figure 9.

Figure 10.

Figure 11.

Figure 12.

Figure 13.

The values defined by standards and experimental results
| Specimen | Yield force (kN) | Yield deflection (mm) | Peak force (kN) | Peak deflection (mm) |
|---|---|---|---|---|
| FC-Reference | 170.02 | 3.31 | 267.95 | 37.58 |
| FC-30SF | 114.18 | 5.31 | 257.47 | 26.79 |
| FC-60SF | 132.31 | 5.51 | 218.24 | 12.52 |
| F3-30SF | 60.11 | 2.22 | 104.36 | 9.66 |
| F3-60SF | 73.51 | 1.74 | 113.10 | 12.80 |
| F4-30SF | 122.12 | 3.27 | 196.23 | 12.89 |
| F4-60SF | 128.13 | 4.53 | 204.37 | 20.11 |
Physical properties of steel fiber
|
| |||
| Length (mm) | 30 | Tensile strength (MPa) | 1100 |
| Diameter (mm) | 0.75 | Aspect ratio | 0.40 |
Ultimate load and moment values of tested columns
| Group | Specimen | Ultimate Load (kN) | Ultimate Moment (kNm) |
|---|---|---|---|
| Concentric | AL-Reference-0 | 122.6 | 0 |
| AL-Reference-10 | 99.6 | 0.99 | |
| AL-Reference-20 | 95.7 | 1.91 | |
| AL-Reference-30 | 92.8 | 2.77 | |
| Theoretical Result | 0 | 2.78 | |
| Eccentric | AL-30SF-0 | 217.9 | 0 |
| AL-30SF-10 | 140.5 | 1.41 | |
| AL-30SF-20 | 105.9 | 2.12 | |
| AL-30SF-30 | 99.7 | 2.99 | |
| Theoretical Result | 0 | 2.78 | |
| Eccentric | AL-60SF-0 | 142.9 | 0 |
| AL-60SF-10 | 99.2 | 0.99 | |
| AL-60SF-20 | 97.1 | 1.94 | |
| AL-60SF-30 | 93.8 | 2.81 | |
| Theoretical Result | 0 | 2.79 |
Concrete mixture
| kg/m3 | First Group | Second Group | Third Group |
|---|---|---|---|
| Fine aggregate (0-12mm) | 1420 | 1420 | 1420 |
| Coarse aggregate (12-28 mm) | 510 | 510 | 510 |
| Cement | 320 | 320 | 320 |
| Admixture | 6.4 | 6.4 | 6.4 |
| Steel fibers | — | 30 | 60 |
| Water/Cement ratio | 0.31 | 0.31 | 0.31 |
| Compressive strength (MPa) | 34 | 32.6 | 34.4 |
| Flexural strength (MPa) | 59.0 | 58.3 | 58.6 |
| Splitting tensile strength (MPa) | 32.1 | 33.2 | 42.4 |
The comparison of experimental and numerical results
| Specimens | TU-Exp | Tu-mode II/Tu-exp | TTS-2018/TU-Exp | TAC318-14/TU-Exp | TEurocode-2/TU-Exp | TAS3600/TU-Exp | TBS8110/TU-Exp | THsu/TU-Exp | TRauch/TU-Exp |
|---|---|---|---|---|---|---|---|---|---|
| T-Reference | 5.37 | - | 0.67 | 0.67 | 0.70 | 0.86 | 0.47 | 1.12 | 1.24 |
| T30SF | 7.50 | 0.58 | 0.48 | 0.48 | 0.50 | 0.62 | 0.34 | 0.79 | 0.89 |
| T60SF | 11.06 | 0.40 | 0.33 | 0.32 | 0.34 | 0.42 | 0.23 | 0.55 | 0.60 |
The experimental results
| Specimens | Vu-Exp (kN) | Vn-ACI (kN) |
|
|
| Energy Dissipation Capacity (kNmm) |
|---|---|---|---|---|---|---|
| FC-Reference | 267.95 | 64.89 | 0.24 | 72.84 | 0.27 | 1302.7 |
| FC-30SF | 257.47 | 64.19 | 0.25 | 72.84 | 0.28 | 5726.1 |
| FC-60SF | 218.24 | 65.09 | 0.30 | 72.84 | 0.33 | 1122.3 |
| F3-30SF | 104.36 | 64.19 | 0.62 | 72.84 | 0.70 | 266.3 |
| F3-60SF | 113.10 | 65.09 | 0.58 | 72.84 | 0.64 | 226.4 |
| F4-30SF | 196.23 | 64.19 | 0.33 | 72.84 | 0.37 | 887.6 |
| F4-60SF | 204.37 | 65.09 | 0.32 | 72.84 | 0.36 | 1313.8 |
Summary of tested specimens
| Specimens | Steel Fibers (kg/m3) | Loading Type |
|---|---|---|
| T-Reference | — | Torsion |
| T30SF | 30 | Torsion |
| T60SF | 60 | Torsion |
| FC-Reference | — | Overhanging |
| FC-30SF | 30 | Overhanging |
| FC-60SF | 60 | Overhanging |
| F3-30SF | 30 | Three-point bending |
| F3-60SF | 60 | Three-point bending |
| F4-30SF | 30 | Four-point bending |
| F4-60SF | 60 | Four-point bending |
| AL-Reference-0 | — | Axial load without eccentricity |
| AL-Reference-10 | — | Axial load with 10 mm eccentricity |
| AL-Reference-20 | — | Axial load with 20 mm eccentricity |
| AL-Reference-30 | — | Axial load with 30 mm eccentricity |
| AL-30SF-0 | 30 | Axial load without eccentricity |
| AL-30SF-10 | 30 | Axial load with 10 mm eccentricity |
| AL-30SF-20 | 30 | Axial load with 20 mm eccentricity |
| AL-30SF-30 | 30 | Axial load with 30 mm eccentricity |
| AL-60SF-0 | 60 | Axial load without eccentricity |
| AL-60SF-10 | 60 | Axial load with 10 mm eccentricity |
| AL-60SF-20 | 60 | Axial load with 20 mm eccentricity |
| AL-60SF-30 | 60 | Axial load with 30 mm eccentricity |
Chemical, physical and mechanical properties of the cement
| Chemical properties (%) | Physical and mechanical properties | ||
|---|---|---|---|
| SO3 | 2.84 | 2 days Compressive strength (MPa) | 27.90 |
| MgO | 2.58 | 28 days Compressive strength (MPa) | 58.00 |
| CaO | 63.65 | Initial setting time (min) | 151 |
| Al2O3 | 4.48 | Final setting time (min) | 191 |
| K2O | 0.62 | Specific gravity (g/cm3) | 3.12 |
| SiO2 | 18.10 | Specific surface (cm2/g) | 3690 |
| Na2O | 0.21 | Total volume exp. (mm) | 1.0 |
| Fe2O3 | 3.09 | Water requirement of cement (%) | 29.5 |
| CI- | 0.015 | Fineness (%) | 7.15 |
The Experimental results of torsional tests
| Specimens | Tu (kNm) | θu (deg/m) | Tcr (kNm) | θcr (deg/m) | θyeld (deg/m) | μθ | Energy Dissipation Capacity (kN.deg) |
|---|---|---|---|---|---|---|---|
| T-Reference | 5.37 | 2.55 | 0.29 | 1.60 | 2.14 | 1.19 | 12.02 |
| T30SF | 7.50 | 3.06 | 0.50 | 1.62 | 2.46 | 1.24 | 20.17 |
| T60SF | 11.06 | 5.58 | 0.60 | 1.31 | 4.30 | 1.30 | 54.72 |