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m3l16

# m3l16 - Module 3 Analysis of Statically Indeterminate...

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Version 2 CE IIT, Kharagpur Module 3 Analysis of Statically Indeterminate Structures by the Displacement Method

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Version 2 CE IIT, Kharagpur Lesson 16 The Slope-Deflection Method: Frames Without Sidesway
Instructional Objectives After reading this chapter the student will be able to 1. State whether plane frames are restrained against sidesway or not. 2. Able to analyse plane frames restrained against sidesway by slope-deflection equations. 3. Draw bending moment and shear force diagrams for the plane frame. 4. Sketch the deflected shape of the plane frame. 16.1 Introduction In this lesson, slope deflection equations are applied to solve the statically indeterminate frames without sidesway. In frames axial deformations are much smaller than the bending deformations and are neglected in the analysis. With this assumption the frames shown in Fig 16.1 will not sidesway. i.e. the frames will not be displaced to the right or left. The frames shown in Fig 16.1(a) and Fig 16.1(b) are properly restrained against sidesway. For example in Fig 16.1(a) the joint can’t move to the right or left without support A also moving .This is true also for joint . Frames shown in Fig 16.1 (c) and (d) are not restrained against sidesway. However the frames are symmetrical in geometry and in loading and hence these will not sidesway. In general, frames do not sidesway if D 1) They are restrained against sidesway. 2) The frame geometry and loading is symmetrical Version 2 CE IIT, Kharagpur

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Version 2 CE IIT, Kharagpur