A circular slab of radius R. is supported on n number of columns at its edge at equidistance from each other as shown in Figure Q-3. The steel reinforcement consists of orthogonal steel bars placed at the bottom face of the slab, with a moment of resistance per unit width, m (in kNm/m), in each direction of the bars. The slab is subjected to uniform load with an intensity. p (in kN/m). (a) Postulate a yield line pattern for the slab. Hint: Consider radial yield lines meeting at the centre o of the slab. [5 marks] (b) Determine the value of p in terms of m. R and n for the slab. Hint: The centroid of a circular sector with a central angle of 2a, is at (2r sin a)/(3a) from its apex, where r' is the radius. The area is equal to ar . [20 marks] (c) Using the expression obtained in (b), determine the value of p if the slab is simply- supported along the whole length of its edge. [5 marks] 2R B C O Fig. Q-3 m N