m3l4 - Module 3 Limit State of Collapse Flexure (Theories...

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Module 3 Limit State of Collapse - Flexure (Theories and Examples) Version 2 CE IIT, Kharagpur
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Lesson 4 Computation of Parameters of Governing Equations Version 2 CE IIT, Kharagpur
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Instructional Objectives: At the end of this lesson, the student should be able to: identify the primary load carrying mechanisms of reinforced concrete beams and slabs, name three different types of reinforced concrete beam with their specific applications, identify the parameters influencing the effective widths of T and L- beams, differentiate between one-way and two-way slabs, state and explain the significance of six assumptions of the design, draw the stress-strain diagrams across the depth of a cross-section of rectangular beam, write the three equations of equilibrium, write and derive the expressions of total compression and tension forces C and T , respectively. 3.4.1 Introduction Version 2 CE IIT, Kharagpur
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Reinforced concrete beams and slabs carry loads primarily by bending (Figs. 3.4.1 to 3). They are, therefore, designed on the basis of limit state of collapse in flexure. The beams are also to be checked for other limit states of shear and torsion. Slabs under normal design loadings (except in bridge decks etc.) need not be provided with shear reinforcement. However, adequate torsional reinforcement must be provided wherever needed. Version 2 CE IIT, Kharagpur
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Version 2 CE IIT, Kharagpur
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This lesson explains the basic governing equations and the computation of parameters required for the design of beams and one-way slabs employing limit state of collapse in flexure. There are three types of reinforced concrete beams: (i) Singly or doubly reinforced rectangular beams (Figs. 3.4.4 to 7) (ii) Singly or doubly reinforced T -beams (Figs. 3.4.8 to 11) (iii) Singly or doubly reinforced L -beams (Figs. 3.4.12 to 15) Version 2 CE IIT, Kharagpur
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During construction of reinforced concrete structures, concrete slabs and beams are cast monolithic making the beams a part of the floor deck system. While bending under positive moments near midspan, bending compression stresses at the top are taken by the rectangular section of the beams above the neutral axis and the slabs, if present in T or L -beams (Figs. 3.4.4, 5, 8, 9, 12 and 13). However, under the negative moment over the support or elsewhere, the bending compression stresses are at the bottom and the rectangular sections of rectangular, T and L -beams below the neutral axis only resist that compression (Figs. 3.4.6, 7, 10, 11, 14 and 15). Thus, in a slab-beam system the beam will be Version 2 CE IIT, Kharagpur
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considered as rectangular for the negative moment and T for the positive moment. While for the intermediate spans of slabs the beam under positive moment is considered as T , the end span edge beam is considered as L- beam if the slab is not projected on both the sides of the beam. It is worth mentioning that the effective width of flange of these T or L -beams is to be determined which depends on: Version 2 CE IIT, Kharagpur
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This note was uploaded on 03/17/2012 for the course CENG 3012 taught by Professor Prof.j.n.bandopadhyay during the Summer '01 term at Indian Institute of Technology, Kharagpur.

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m3l4 - Module 3 Limit State of Collapse Flexure (Theories...

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