# A Report on Buckling Load Analysis

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• Published : September 6, 2010

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A Report on Buckling Load Analysis

CE00449M (Applied Structural Integrity)

BY
UMESH KUMAR BOHRA (09004623)
MSc MECHANICAL ENGINEERING

Submitted To,
Peter Ogrodnik
Faculty of Computing Engineering and Technology

Contents:
S. No Title Page no. 1. Abstract 3
2. Introduction 3
3. Experimental Method 3
4. Analysis using Ansys 6
5. Theoretical Calculation 9
6. Results Comparison 9
7. Conclusion 10
7. Reference 10

List of Figures and Tables

Item Title Page No Table2.1 Deflection values for a applied amount of Load 5 Graph2.1 Deformation vs Load for the rod 6 Fig. 4.1 Design of Stainless steel rod 6 Fig.4.2 Displacement and load applied for the rod at its end 7 Fig. 4.3 The deformation direction for the rod after application of load 7 Fig. 4.4 Face meshing of the model 8 Table 4.1 Mesh sizing and its corresponding results of total deformation 8 Graph 4.1 Total deformation vs No. of elements in mesh 8 Table 6.1 Comparison of results 9

1. Abstract:
In this case study we determine buckling load for a stainless steel rod by applying compressive load on the either side of the rod. The same model is designed and the buckling load for it is determined by carrying out an analysis using Ansys software. The values obtained in Ansys are then compared with the theoretical and experimental values of the same rod. 2. Introduction:

In engineering, buckling is a failure mode characterised by a sudden failure of a structural member that is subjected to high compressive stresses (Lindberg & Florence, 1987). Buckling occurs when the load applied exceeds the elastic limit of the body. In this case study we are aiming to determine the buckling load for a stainless steel using the experimental method and by also by using Ansys 12.0 software and then they are compared with the theoretically calculated one. 3. Experimental Method:

While carrying out the experiment we make use of the following apparatus * Deflection Transducer: It is used to determine the deflections in steel rod when the force is applied at its ends. It converts the deflection into electrical signal which is in form of voltage and thus the deflection can be read in the voltmeter. * Load cell: It is a device in which the output is proportional to the load applied. It is also a form of transducer which used to measure the amount of force which is being applied on the rod. This Load cell converts the force into electrical signals and this signal is sent to micro strain meter. * Micro strain meter: It is used to display the values of force which is applied on the rod and the original value of the load is obtained by multiplying it with a constant 3.5 which represents the value of each division in micrometer.

While experimental Analysis the rod is being supported at its both ends and compressive load is applied on both the ends of the rod. Due to the application of this force we find some deflection at the centre of the rod. The force is being increased in steps which can be noted using the micrometer which is connected to the micro strain gauge which is placed on the rod and due to the application of the load we find deflection in the rod, which is been measured using the deflection transducer. The deflection readings are noted down along with the load values. The values obtained in micrometer for the force is multiplied with 3.4 which is a constant...