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Manual for Design and Detailings of Reinforced Concrete to Code of ...

Manual for Design and Detailings of Reinforced Concrete to Code of ...

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Version 2.3 May 2008M30 <strong>to</strong> 40 <strong>for</strong> the same2 , but increases at grade 45 due <strong>to</strong> the change <strong>of</strong> thebdlimit <strong>of</strong> neutral axis depth ratio from 0.5 <strong>to</strong> 0.4 with moment redistribution notexceeding 10%. The same phenomenon applies <strong>to</strong> tensile steel also. Withmoment redistribution exceeding 10%, the same trend will also take place.Rein<strong>for</strong>cement Ratios <strong>for</strong> Doubly Rein<strong>for</strong>ced Beams d'/d = 0.1Grade 30 Ast/bd Grade 30 Asc/bd Grade 35 Ast/bd Grade 35 Asc/bd Grade 40 Ast/bdGrade 40 Asc/bd Grade 45 Ast/bd Grade 45 Asc/bd Grade 50 Ast/bd Grade 50 Asc/bd141210M/bd 2864200 0.5 1 1.5 2 2.5 3 3.5 4Rein<strong>for</strong>cement ratios A/bd (%)Chart 3-1 – Rein<strong>for</strong>cement Ratios <strong>of</strong> Doubly Rein<strong>for</strong>ced Beams <strong>for</strong> Grade 30<strong>to</strong> 50 with Moment Redistribution limited <strong>to</strong> 10% or belowzAs similar <strong>to</strong> BS8110, there is an upper limit <strong>of</strong> “lever arm ratio” which is dthe depth <strong>of</strong> the centroid <strong>of</strong> the compressive <strong>for</strong>ce <strong>of</strong> concrete <strong>to</strong> the effectivedepth <strong>of</strong> the beam section <strong>of</strong> not exceeding 0.95. Thus <strong>for</strong> calculated values <strong>of</strong>zd≥ 0.95approach,xor ≤ 0. 111 in accordance with the simplified stress blockdAstM=bd 0.87 f ( 0.95d)bdy<strong>Design</strong> Charts <strong>for</strong> grades 30 <strong>to</strong> 50 comprising tensile steel <strong>and</strong> compressionsteel ratiosA stA <strong>and</strong> sc are enclosed at the end <strong>of</strong> Appendix C.bd bd3.4.2 <strong>Design</strong> in accordance with the Simplified Stress BlockThe design will be simpler <strong>and</strong> sometimes more economical if the simplified19

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