PDELTA01: Frame with small delta effects
1. Problem definition
1.1 Section properties
- Section: W14×48 (W360×72)
1.2 Material properties
- Young's modulus, E = 200 GPa (29,000 ksi)
1.3 Loading
-
Uniformly distributed lateral load:
- 2.92 kN/m (0.200 kip/ft) causing bending about strong axis
-
Axial load cases:
- 0 kN
- 667 kN
- 1334 kN
- 2001 kN
2. Songeya model
As Songeya frame elements do not account for transverse shear deformation, the corresponding results from the reference document are used.
3. Results (2001 kN axial)
3.1 Deformation along X
3.2 Bending moment
4. Comparison
4.1 Mid-height bending moment
| Axial Load P (kN) | Songeya (kNm) | Reference (kNm) | Difference | Comment |
|---|---|---|---|---|
| 0 | 26.6 | 26.6 | 0.0% | OK |
| 667 | 30.4 | 30.4 | 0.0% | OK |
| 1334 | 35.4 | 35.4 | 0.0% | OK |
| 2001 | 42.3 | 42.4 | 0.2% | OK |
4.2 Mid-height lateral displacement
| Axial Load P (kN) | Songeya (mm) | Reference (mm) | Difference | Comment |
|---|---|---|---|---|
| 0 | 5.00 | 5.02 | 0.4% | OK |
| 667 | 5.69 | 5.71 | 0.4% | OK |
| 1334 | 6.61 | 6.63 | 0.3% | OK |
| 2001 | 7.89 | 7.91 | 0.3% | OK |
5. Reference
American Institute of Steel Construction. (2016). ANSI/AISC 360-16: Specification for structural steel buildings. Author.