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
The benchmark reference values used for comparison exclude transverse shear deformation. Songeya frame elements are based on Euler-Bernoulli beam theory and therefore do not include transverse shear deformation.
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 (kN·m) | Reference (kN·m) | 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). Specification for structural steel buildings (ANSI/AISC 360-16). Chicago, IL: Author.