Advanced Package Training Scaffolding 2011.1 - Scia-Software GbR

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Buckling Ratio For the calculation of the buckling ratios, some approximate formulas are used. These formulas are treated in the Theoretical Background (Ref.[32]). The e following formulas are used for the buckling ratios: • for a non sway structure : ( ρ1 ρ2 + 5ρ1 + 5ρ2 + 24)( ρ1 ρ2 + 4ρ1 + 4 ρ2 + 12)2 l/L = (2ρ ρ + 11ρ + 5ρ + 24)(2ρ ρ + 5ρ + 11ρ + 24) 1 2 • for a sway structure : l/L = x 1 π + 4 ρ x 1 2 with L the system length 2 E the modulus of Young I the moment of inertia Ci the stiffness in node I Mi the moment in node I Fi the rotation in node I 2 4ρ1 ρ2 + π x = 2 π ( ρ1 + ρ2) + 8 C L = EI i ρ1 8ρ1 ρ ρ i Mi Ci = φi The values for Mi and φi are approximately determined by the internal forces and the deformations, calculated by load cases s which generate deformation forms, having an affinity with the buckling form. The following load cases are considered : - load case 1 : on the beams, the local distributed loads qy=1 N/m and qz= qz=-100 N/m are used, on the columns the global distributed load loads s Qx = 10000 N/m and Qy =10000 N/m are used. - load case 2 : on the beams, the local distributed loads qy= qy=-1 1 N/m and qz= qz=-100 N/m are used, on the columns the global distributed loads Qx = -10000 10000 N/m and Qy= -10000 N/m are used. The used approach gives good d results for frame structures with perpendicular rigid or semi semi-rigid beam connections. For other cases, the user has to evaluate the presented bucking ratios. Stability Check in Scia Engineer Example Scaffolding.esa 2 1 2 1 30 2 Advanced Training
- Go to the menu “Steel -> Check”. - Use for the Stability check for Class All UGT. - The maximum unity check will be obtained in beam B24: UC = 0,73 - The results are shown below 31 Scaffolding
Page 1 and 2: Advanced Package Training Scaffoldi
Page 3 and 4: Contents 1. Introduction ..........
Page 5 and 6: 1. Introduction 5 Scaffolding This
Page 7 and 8: Materials 7 Scaffolding For the mat
Page 9 and 10: FLOOR BOARDS 9 Scaffolding The inpu
Page 11 and 12: END INPUT OF CONSTRUCTION 11 Scaffo
Page 13 and 14: q2: Partial area load (EN12811-1, 6
Page 15 and 16: Load Case 1: Self Weight 15 Scaffol
Page 17 and 18: 17 Scaffolding In the example discu
Page 19 and 20: 1 2 q p ( z) = ce ( z) ⋅ qb = ce
Page 21 and 22: q p e 21 Scaffolding EN 12811-1 §6
Page 23 and 24: 4. Results It is recommended to fir
Page 25 and 26: 6. Scaffolding SLS Check - EN 12811
Page 27 and 28: 7. Steel Code Check ULS Check - EN
Page 29: Stability Check Buckling data 29 Sc
Page 33 and 34: 8. Scaffolding ULS Check - EN 12811
Page 35 and 36: 9. Non-Linear Combinations Overview
Page 37 and 38: 1a 5.2.2(3)c lb based on a global b
Page 39 and 40: These inclination functions are ent
Page 41 and 42: 41 Scaffolding The buckling curve u
Page 43 and 44: 43 Scaffolding In this figure, the
Page 45 and 46: Start Choose ΔF u0 = 0 F0 = 0 F =
Page 47 and 48: 47 Scaffolding As specified, the Ne
Page 49 and 50: 49 Scaffolding In the results menu,
Page 51 and 52: ∙ + ∙ = ∙ The equation f
Page 53 and 54: Example Stability_Imperfe Imperfect
Page 55 and 56: Buckling Shape [-] A polynomial has
Page 57 and 58: 57 Scaffolding Using this combinati
Page 59 and 60: 12. Input Hinge Types and non-linea
Page 61 and 62: The rigidities are filled out and t
Page 63 and 64: 63 Scaffolding It is assumed that t
Page 65 and 66: 13. Scaffolding - Coupler Check Whe
Page 67 and 68: The internal force My for this beam
Page 69 and 70: Example ULS Check - Scaffolding che
Page 71 and 72: 71 Scaffolding
Page 73 and 74: 73 Scaffolding Where L is the membe
Page 75 and 76: 75 Scaffolding
Page 77 and 78: Shear The design value of the shear
Page 79 and 80: For a solid bar, round tube and hho
Page 81 and 82:
17. Template To create a template,
Page 83 and 84:
3. Inserting the user block into an
Page 85 and 86:
Annex A: Wind pressure versus Wind
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