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Example # 2 بسم الله الرحمن الرحيم Design of Concrete Structure II University of Palestine Instructor: Eng. Mazen Alshorafa

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Design the two way solid slab shown in Figure. The covering materials weigh 2.3 KN/m 2 and the live load is 3.2 KN/m 2. Also, Calculate the factored load acting on beam 1 due to slab. Use fc’ = 25 MPa, fy = 420 MPa. All beams are 250mm wide Example # 2 3m 5m 4m C16 C15 C14 C13 C12 C11 C10 C9 C8 C7 C6 C5 C4 C3 C2 C1 Beam 1 Page 0 Instructor: Eng. Mazen Alshorafa بسم الله الرحمن الرحيم Design of Concrete Structure II University of Palestine

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Solution 1- Evaluate slab thickness: L n,max = 5.0 – 0.25 = 4.75 m = 4750 mm The largest slab thickness is given by Use a slab thickness of 140 mm =14 cm 2- Determine the total factored load per unit area of slab: w u = 1.2[0.14(25)+2.3] + 1.6(3.2) = 12.1 KN/m 2 w u = 12.1 KN/m 2 =1.21 t/m 2 Page 1 Instructor: Eng. Mazen Alshorafa بسم الله الرحمن الرحيم Design of Concrete Structure II University of Palestine

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3- Evaluate load distribution in both directions: 3m 5m 4m C16 C15 C14 C13 C12 C11 C10 C9 C8 C7 C6 C5 C4 C3 C2 C1 S1 S5 S4 S3 S6 S7 S8 S2 Based on Egyptian code load coefficients: For panel S1,S2 and S8: For panel S3 and S6: For panel S4: Page 2 Instructor: Eng. Mazen Alshorafa Design of Concrete Structure II University of Palestine

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3- Evaluate load distribution in both directions: For panel S5: For panel S7: For all panels, For a strip 1m wide, w s = α w u w l = β wu 3m 5m 4m C16 C15 C14 C13 C12 C11 C10 C9 C8 C7 C6 C5 C4 C3 C2 C1 S1 S5 S4 S3 S6 S7 S8 S2 Page 3 Instructor: Eng. Mazen Alshorafa Design of Concrete Structure II University of Palestine

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Loads in both directions: 3m 5m 4m C16 C15 C14 C13 C12 C11 C10 C9 C8 C7 C6 C5 C4 C3 C2 C KN/m KN/m KN/m KN/m KN/m KN/m KN/m KN/m KN/m KN/m KN/m KN/m KN/m KN/m KN/m KN/m 2 Page 4 Instructor: Eng. Mazen Alshorafa Design of Concrete Structure II University of Palestine

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4- Select Representative 1m wide design strips to span in short and long direction. 3m 5m 4m C16 C15 C14 C13 C12 C11 C10 C9 C8 C7 C6 C5 C4 C3 C2 C1 Strip #1 Strip #4 Strip #2 Strip #3 Strip #5 Strip #6 Page 5 Instructor: Eng. Mazen Alshorafa Design of Concrete Structure II University of Palestine

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5- Design each strip For Example, take Strip # 1 5 m 2.78 KN/m S.F.D B.M.D 5.2 KN 8.7 KN 5.2 KN 8.7 KN.m 4.9 KN.m Average effective depth ( d avg ) d avg = = 108 mm Assuming that d stirrup = Φ 8 && d bar = Φ12 A - Check slab thickness for shear Page 6 Instructor: Eng. Mazen Alshorafa Design of Concrete Structure II University of Palestine

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Design of Strip # 1(Contd.) 5 m 2.78 KN/m 5.2 KN 8.7 KN 5.2 KN 8.7 KN.m 4.9 KN.m B- Design of reinforcement Φ 300 mm Page 7 Instructor: Eng. Mazen Alshorafa Design of Concrete Structure II University of Palestine

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Check slab thickness for beam shear for each strips and determine the required amount of reinforcement for each strips then prepare neat design drawings showing slab thickness and providing reinforcement. 140mm Sec. A-A 3m 5m 4m C16 C15 C14 C13 C12 C11 C10 C9 C8 C7 C6 C5 C4 C3 C2 C1 Φ 300 Page 8 Instructor: Eng. Mazen Alshorafa Design of Concrete Structure II University of Palestine

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3m 5m 4m C16 C15 C14 C13 C12 C11 C10 C9 C8 C7 C6 C5 C4 C3 C2 C1 140mm Sec. A-A Φ 300 Page 9 Instructor: Eng. Mazen Alshorafa Design of Concrete Structure II University of Palestine

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