Assignment-2.04

Assignment-2.04 - CIVL 232 Design of Structural Concrete...

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CIVL 232 Design of Structural Concrete Assignment 2 (Tuesday, 2 March 2004) Singly reinforced sections in bending, moment redistribution 2.1 (a) Describe the failure characteristics of an under-reinforced beam and an over- reinforced beam. (b) Derive the formula for the design of a singly reinforced rectangular section in bending: z f M A y s 95 . 0 = where ( ) 9 . 0 / 25 . 0 5 . 0 K d z + = cu f bd M K 2 = (c) Derive the condition to ensure yielding of tension steel at the ultimate limit state. What value does BS 8110 limit the depth of neutral axis to? 2.2 A simply supported rectangular beam of 7.5 m span shown in Fig. 2.2 carries dead (including self-weight) and imposed loads of 12 kN/m and 8 kN/m, respectively. The beam dimensions are b x h = 250 x 500 mm. Calculate the area of reinforcement required. f cu = 30 N/mm 2 , f y = 460 N/mm 2 , d = ( h – 50) mm. 7500 250 500 G k = 12kN/m, Q k = 8kN/m A s Fig. 2.2 2.3 A reinforced concrete beam of 300 mm wide and 600 mm deep is required to span 6 m, as shown in Fig. 2.3. The beam carries dead and loads of 25 kN/m and 19 kN/m, respectively. Design the beam section for bending.
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