m10l24 - Module 10 Compression Members Version 2 CE IIT,...

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Module 10 Compression Members Version 2 CE IIT, Kharagpur
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Lesson 24 Preparation of Design Charts Version 2 CE IIT, Kharagpur
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Instructional Objectives: At the end of this lesson, the student should be able to: identify a design chart and understand the differences between a design chart and interaction diagram of P and M , name the major design parameters of short columns subjected to axial loads and uniaxial bending, state the design parameters assumed before the design, state the design parameter actually designed for the column, explain the roles of each of the design parameters in increasing the strength capacities of column, name the two non-dimensional design parameters to prepare the design charts, derive the governing equations in four separate cases while preparing the design charts, mention the various points at which the values of the two non-dimensional parameters are determined to prepare the design charts, prepare the design chart of any short and rectangular column subjected to axial loads and uniaxial moment. 10.24.1 Introduction Lesson 23 illustrates the different steps of determining the capacities of a short, rectangular, reinforced with steel bars, concrete column. Several pairs of collapse strengths P u and M u are to be determined for a column with specific percentage of longitudinal steel bars assuming different positions of the neutral axis. A designer has to satisfy that each of the several pairs of P u and M u , obtained from the structural analysis, is less than or equal to the respective strengths in form of pairs of P u and M u obtained from determining the capacities for several locations of the neutral axis. Thus, the design shall involve several trials of a particular cross-section of a column for its selection. On the other hand, it is also possible to prepare non-dimensional interaction diagram selecting appropriate non-dimensional parameters. This would help to get several possible cross-sections with the respective longitudinal Version 2 CE IIT, Kharagpur
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steel bars. This lesson explains the preparation of such non-dimensional interaction diagrams which are also known as design charts. Similar design charts of circular and other types of cross-sections can be prepared following the same procedure as that of rectangular cross-section. However, the stress block parameters, explained in Lesson 23, are to be established separately by summing up the forces and moment of several strips by dividing the cross-section of columns into the strips. This lesson is restricted to columns of rectangular cross-section which are symmetrically reinforced. 10.24.2 Design Parameters The following are the four major design parameters to be determined for any column so that it has sufficient pairs of strengths ( P u and M u ) to resist all critical pairs obtained from the analysis: (i) dimensions b and D of the rectangular cross-section, (ii) longitudinal steel reinforcing bars - percentage p , nature of distribution
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m10l24 - Module 10 Compression Members Version 2 CE IIT,...

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