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m6l13 - Module 6 Shear Bond Anchorage Development Length...

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Module 6 Shear, Bond, Anchorage, Development Length and Torsion Version 2 CE IIT, Kharagpur
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Lesson 13 Limit State of Collapse in Shear Version 2 CE IIT, Kharagpur
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Instructional Objectives: At the end of this lesson, the student should be able to: name and explain the three different failure modes of reinforced concrete beams under the combined effects of bending moment and shear force, define nominal shear stress τ v of rectangular and T -beams of uniform and varying depths under the combined effects of bending moment and shear force, name the two parameters on which the design shear strength of concrete depends, find out the maximum shear stress of concrete beams τ cmax with shear reinforcement, locate the critical sections for shear in beams, explain when and why do we consider enhanced shear strength of concrete, explain why the minimum shear reinforcement is provided in any beam, determine the amount of minimum shear reinforcement to be provided in any beam, specify the three different ways of providing shear reinforcement in a beam, design the shear reinforcement in a beam for each of the three methods mentioned above, design the shear reinforcement closed to the support of a beam, specify the conditions to be satisfied for the curtailment of tension reinforcement when designing shear reinforcement, place the vertical stirrups in a beam. 6.13.1 Introduction This lesson explains the three failure modes due to shear force in beams and defines different shear stresses needed to design the beams for shear. The critical sections for shear and the minimum shear reinforcement to be provided in beams are mentioned as per IS 456. The design of shear reinforcement has been illustrated in Lesson 14 through several numerical problems including the curtailment of tension reinforcement in flexural members. Version 2 CE IIT, Kharagpur
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6.13.2 Failure Modes due to Shear Bending in reinforced concrete beams is usually accompanied by shear, the exact analysis of which is very complex. However, experimental studies confirmed the following three different modes of failure due to possible combinations of shear force and bending moment at a given section (Figs. 6.13.1a to c): (i) Web shear (Fig. 6.13.1a) (ii) Flexural tension shear (Fig. 6.13.1b) (iii) Flexural compression shear (Fig. 6.13.1c) Web shear causes cracks which progress along the dotted line shown in Fig. 6.13.1a. Steel yields in flexural tension shear as shown in Fig. 6.13.1b, while concrete crushes in compression due to flexural compression shear as shown in Fig. 6.13.1c. An in-depth presentation of the three types of failure modes is beyond the scope here. Only the salient points needed for the routine design of beams in shear are presented here.
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