3D Dynamic Design of Ar-Rafedain Building

1. 3D Dynamic Design of Ar-Rafedain Building Prepared by: 1. Ahmad AL-bzoor. 2. Mohammad Aqra 3. Islam Arar 4. Ahmad Zebda An-Najah National University Faculty of Engineering Civil Engineering Department Supervised by: Dr. Abdul Razzaq Touqan

2. Chapter 1 :Introduction

3. Introduction: • Ar-Rafedain building is 8 stories reinforced concrete building ,located in Nablus city and used as commercial and residential building. • The basement story is used as storage for commercial goods with plan area of 870 m², the second story is used as commercial one and the above 6 stories used as residential apartments (four apartments per floor) with plan area of 760 m². • soil bearing capacity = 200 kN/m2

4. Columns Centers Plan :

5. 3D model:

6. Structural Systems : • Two way solid slab for commercial story.

7. Structural Systems : • One way solid slab in last story and rib slab in other residential stories.

8. Materials: • Concrete : f’c= 320 kg/cm²( 32 MPa) for columns and shear walls. f’c= 240 kg/cm²( 24 MPa) for others. Concrete unit weight = 24.5 (KN/m3). • Reinforcing Steel:The yield strength of steel is equal to 4200 Kg/cm2 (420 MPa). • Others :

9. Design loads : • Dead loads in addition to slab own weight : Superimposed dead load = 4.5 kN/m2 • Live load = 2 kN/m2 (for residential stories). • Live load = 5 kN/m2 (for commercial story). • Live load = 6 kN/m2 (for basement story). • Water tanks load = 10 kN/m2

10. Design codes and load combinations: • The following are the design codes used : • ACI – code 2011 . • ASCE for design loads. • The following are the load combinations used : • Wu = 1.4DL. • Wu = 1.2DL + 1.6LL .

11. Chapter 2 :Preliminary Design

12. Preliminary design basement story height = 4.15m. commercial story height = 5m. residential stories height is 3.3 m. • The following are the preliminary dimensions : Slab dimension • Two way solid slab: - depth =15 cm (based on deflection criteria) . - slab own weight = 3.68 kN/m². - Ultimate load =17.81 kN/m².

13. Preliminary design • One way ribbed slab: - depth = 25 cm (based on deflection criteria) . - web width = 12 cm - slab own weight = 4.50 kN/m². - Ultimate load =14 kN/m².

14. Preliminary Design beam dimension • Main beams in x-direction : 50 cm depth x30 cm width. • Secondary beams in y-direction : 25 cm depth x60 cm width. column dimension Take a sample columns ( k5) : Area carried by column = 19.32 m2 Pu = 2691.79 KN. Ag = 1662 cm2. → Use columns 30x60cm2.

15. Preliminary design and checks • Footing : (Service load / bearing capacity) ≥ 60% area of the building . we choose mat footing with depth of footing 100 cm .

16. Chapter 3 :Static Design

17. Static design : Final dimensions : • frame sections :

18. Static Design: • Area sections dimensions :

19. Static design: • Verification Of SAP model: • We perform the verification for SAP models( one and eight stories and it was OK) the following is verification for eight stories : • 1. Compatibility satisfied :

20. Static Design 2.Equilibrium Satisfied : 3.Stress -Strain relationship satisfied: Taking beam in one way ribbed 4m span : total moment hand calculation =120.82 total moment sap calculation =112.9 % error 6.9% < 10% ……..ok

21. 3. Design for bending moment :

22. Static Design : Area of steel for one way solid slab from sap :

23. Area of steel for one way ribbed slabs from sap :

24. Area of steel for two way solid slab from sap : *Middle strip in y direction:

25. *Column strip in y direction:

26. *Middle strip in X direction:

27. *column strip in X direction:

28. Static Design : min reinforcement ratio = 0.0033. As min = ρbd = 0.0033*300*425 = 425 mm2 ØVc = 78.1 kN. (Av/s)min = 0.25. Reinforcement for beams in two way solid slab:

29. shear and torsion reinforcement for edge beams and girders in two way solid slab :

30. Reinforcement for main beams in one way ribbed slab: min reinforcement ratio = 0.0033. As min = ρbd = 0.0033*300*425 = 425 mm2 ØVc = 78.1 kN. (Av/s)min = 0.25.

31. shear and torsion reinforcement for edge beams and girders in one way ribbed slab

32. Reinforcement for main beams in one way solid slab:

33. shear and torsion reinforcement for edge beams and girders in one way solid slab

34. Static Design : Design of secondary beams: Negative and positive area of steel for all secondary beams = 5Ø12 mm and 1Ø8/200mm stirrups.

35. Design of columns: Column: Column grouping, Area of steel& stirrups:

36. Manual design Pu =Øλ (0.85*f’c*(Ag+ As) + fy*As)Pu = 2691.79kN.Ag = 0.35* 0.6 = 0.21m² Ø = 0.65 λ = 0.8 f’c = 32MPa Fy = 420MPaso As = 1156mm² ρ = As / Ag =1156 / 600*350 = 0.55% ρ min = 0.01 ρ max = 0.08 so use ρ min = 0.01 As = 0.01*600*350 = 2100mm² → 14Ø14 mm

37. Footing design Mat Footing : Bearing capacity of the soil=200 kN/m2. thickness of mat footing: thickness of mat will be determined based on punching shear on the critical corner, edge and interior columns

39. Use mat thickness = 1mFor wide beam shear, ØVc = 560 kN/m and shear forces under most columns(except columns K1, K2, J2, CD6) are less than 560 kN/m → OKShear forces under the exceptional columns are:VK1 = 700kN/m VK2 = 1000 KN/mVJ2 = 1000 kN/m VCD6 = 1100 kN/mbut as we go far by 1m after distance d from the face of each column, shear force decreases to be less than 560kN.

40. So, drop panels will be used under these columns, and each one of these panel will be extended 2m from the face of the column. Depth of panels is determined as follows:ØVc = 0.75 (1/6)√fc * bw *d Vu = 1100 kN1100 = 0.75 (1/6) √24 *d* 1000/1000 d = 1.8m → total thickness = 2.5m

41. reinforcement of mat footing column strip in y direction:

42. reinforcement of mat footing middle strip in y- direction:

43. reinforcement of mat footing column strip in x- direction:

45. reinforcement of mat footing middle strip in x- direction:

46. Thanks for your attention