A circular slab of radius R. is supported on n number of columns at its edge...
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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/m²). (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 ². [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 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/m²). (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 ². [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
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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 Q3 The steel reinforcem... View the full answer
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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