RC2009 - Scope Theory and Design of Structures I Reinforced...

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Theory and Design of Structures I Reinforced Concrete Design Scope Rectangular singly and doubly reinforced beams Elastic design Limit state design concepts; material strength and loading Flexural strength and shear strength of beams; one-way slabs References 1. BS8110: 1985, Structural use of concrete – Part 3: Design charts for singly reinforced beams, doubly reinforced beams and rectangular columns, BSI, London, 1985. 2. BS8110: 1997, Structural use of concrete – Part 1: Code of practice for design and construction, BSI, London, 1997. 3. Code of practice for structural use of concrete 2004, second edition, Buildings Department, Hong Kong, 2008. 4. Design of structural elements: concrete, steelwork, masonry and timber design to British standards and Eurocodes, 2nd ed., C. Arya, Spon Press, London, 2003. 5. Reinforced concrete design, 5th ed., W.H. Mosley, J.H. Bungey and R. Hulse, Macmillan Press, Basingstoke, 1999. 6. Reinforced concrete designer’s handbook, 10th ed., C.E. Reynolds and J.C. Steedman, E. & F.N. Spon, London, 1988. 7. Reinforced concrete design to BS8110: simply explained, A.H. Allen, E. & F.N. Spon, London, 1988. 8. Structural design in concrete to BS8110, L.H. Martin, P.C.L. Croxton and J.A. Purkiss, Edward Arnold, London, 1989. Introduction Steel reinforcement is introduced into a concrete beam mainly to carry tension, thereby resulting in a reinforced concrete (RC) beam. Components: concrete and reinforcing bars (rebars) Rectangular beam T-beam Tension reinft. Singly reinforced beam Tension reinft. Doubly reinforced beam Comp. reinft. Stirrup carrier or link hanger Stirrup or link Introduction Figure 1(a) Plain concrete beam under loading. f c f c b d Z = b d 2 / 6 * * Compressive strength Compression Tension Modulus of rupture Cracks & collapses ! Plain concrete beam (Unreinforced concrete beam) Introduction Figure 1(b) Reinforced concrete beam under loading. T Section (cracked) C a M = C a = T a Compression Tension Neutral axis Load increases N.A. Concrete cracks
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Distinct yield point Linear relationship within elastic range Beyond the yield point, plastic deformation followed by work hardening Properties of steel stress strain Y.P. Stress-strain curves for steel. No clearly defined yield point Portion of the curve below 1/3 of the ultimate strength is nearly linear Beyond that, it becomes elasto-plastic Properties of concrete stress strain Stress-strain curves for concrete Methods of design 1. Elastic theory (elastic method in CP114 and previous HK codes) 2. Ultimate load / load factor method (load factor method in CP114 and previous HK codes) 3. Limit states design philosophy (BS8110, CP110 and present HK concrete code) Elastic design of an RC section Elastic method At working load, the maximum stress in the concrete is a certain fraction of the cube strength and the maximum stress in the steel is a certain fraction of the yield stress At working load f cu / (FOS) conc f y / (FOS) steel Elastic method Assumptions: Plane sections remain plane after bending The materials are linearly elastic
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