m6l16 - 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 16 Torsion in Beams - Limit State of Collapse Version 2 CE IIT, Kharagpur
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Instruction Objectives: At the end of this lesson, the student should be able to: identify the beams and frames subjected to torsion, name and explain the two types of torsion, state the basis of approach of design for combined bending, shear and torsion as per IS 456, select the critical section for the design, determine the equivalent shear and moment from the given factored bending moment, shear and torsional moment, define equivalent nominal shear stress, state when do we provide minimum shear reinforcement in beams subjected to combined bending moment, shear and torsional moment, state when do we provide both longitudinal and transverse reinforcement in beams subjected to combined bending moment, shear and torsional moment, state when do we provide tensile, compressive and side face reinforcement, respectively, in beams subjected to combined bending shear and torsional moment, design the beams subjected to combined bending, shear and torsional moment as per IS 456. 6.16.1 Introduction This lesson explains the presence of torsional moment along with bending moment and shear in reinforced concrete members with specific examples. The approach of design of such beams has been explained mentioning the critical section to be designed. Expressing the equivalent shear and bending moment, this lesson illustrates the step by step design procedure of beam under combined bending, shear and torsion. The requirements of IS 456 regarding the design are also explained. Numerical problems have been solved to explain the design of beams under combined bending, shear and torsion. Version 2 CE IIT, Kharagpur
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6.16.2 Torsion in Reinforced Concrete Members On several situations beams and slabs are subjected to torsion in addition to bending moment and shear force. Loads acting normal to the plane of bending will cause bending moment and shear force. However, loads away from the plane of bending will induce torsional moment along with bending moment and shear. Space frames (Fig.6.16.1a), inverted L -beams as in supporting sunshades and canopies (Fig.6.16.1b), beams curved in plan (Fig.6.16.1c), edge beams of slabs (Fig.6.16.1d) are some of the examples where torsional moments are also present. Skew bending theory, space-truss analogy are some of the theories developed to understand the behaviour of reinforced concrete under torsion combined with bending moment and shear. These torsional moments are of two types: (i) Primary or equilibrium torsion, and (ii) Secondary or compatibility torsion. The primary torsion is required for the basic static equilibrium of most of the statically determinate structures. Accordingly, this torsional moment must be considered in the design as it is a major component.
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m6l16 - Module 6 Shear, Bond, Anchorage, Development Length...

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