Lesson 37 Numerical Problems Version 2 CE IIT, Kharagpur
Instructional Objectives: At the end of this lesson, the student should be able to: •select the category of the problem if it is a liquid retaining structure or a structure having no contact with the liquid, •identify the appropriate equations to be applied for the solution of a particular problem belonging to specific category, •select the permissible stresses in concrete and steel depending on the category of the problems, •apply the appropriate equations for the solution of the problems, •solve the problems by establishing the equations from the first principle, •revise the sections, if needed, to satisfy the requirements as per IS codes. 14.37.1 Introduction The requirements for the design of tension structures / members are discussed in Lesson 36. The stipulations of Indian Standard Codes are also mentioned. Tension structures / members are classified depending on (i) if they are liquid retaining or not having any contact with the liquid, (ii) if the tensile stresses are developed due to pure axial force, pure moment or combined effects of axial force and moment, (iii) if the tension is developed on the liquid face or on the remote face and (iv) if the depth of the member is less than, equal to or greater than 225 mm when the tension is developed in the remote face. Accordingly, the permissible stresses of concrete and steel are different. The equations are also different based on if the section is assumed to be cracked or uncracked. All these issues are explained in Lesson 36. This lesson explains the applications of the established equations for the different cases as mentioned above through several numerical problems. The problems are solved in step-by-step mostly utilising the equations. However, a few problems are solved from the first principle for better understanding. Understanding the solutions of illustrative examples and solutions of the practice and test problems will give confidence in applying the appropriate equations and selecting the permissible stresses for analysing and designing tension structures or members using working stress method and following the stipulations of Indian Standard Codes. Version 2 CE IIT, Kharagpur
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