# m3l6 - 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 6 Numerical Problems on Singly Reinforced Rectangular Beams Version 2 CE IIT, Kharagpur
Instructional Objectives: At the end of this lesson, the student should be able to: identify the main two types of problems of singly reinforced rectangular sections, name the inputs and outputs of the two types of problems, state the specific guidelines of assuming the breadth, depths, area of steel reinforcement, diameter of the bars, grade of concrete and grade of steel, determine the depth of the neutral axis for specific dimensions of beam (breadth and depth) and amount of reinforcement, identify the beam with known dimensions and area of steel if it is under- reinforced or over-reinforced, apply the principles to design a beam. 3.6.1 Types of Problems Two types of problems are possible: (i) design type and (ii) analysis type. In the design type of problems, the designer has to determine the dimensions b , d , D , A st (Fig. 3.6.1) and other detailing of reinforcement, grades of concrete and steel from the given design moment of the beam. In the analysis type of the problems, all the above data will be known and the designer has to find out the moment of resistance of the beam. Both the types of problems are taken up for illustration in the following two lessons. Version 2 CE IIT, Kharagpur

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