# Deflection of an Eccentric Tie

Topics: Second moment of area, Experiment, Torque Pages: 7 (1574 words) Published: May 26, 2013
Deflection of an Eccentric Tie

Student Name
Soh Zheng Pei
0303341
Group Members
Toh Khai Liang
Fong Woei jiunn
Lee Deng Cherrng

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Abstract and Introduction/10| |
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Materials and Method/10| |
Results Discussions/45| |
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Date of Experiment:|
Report due date:|
Report submission date:|
Checked by:|

Item/marks| |
Format/10| |
Abstract and Introduction/10| |
Figures and Diagrams/15| |
Materials and Method/10| |
Results Discussions/45| |
References/10| |
Total| |

School of Engineering
Taylor’s University
Malaysia
28 September 2012

Abstract3
1. Introduction3
2. Experiment design4
2.1 Materials4
2.2 Methods4
2.3 Procedure4
3. Results & Discussion5
3.1 Tables5
3.2 Graphs 6-7
3.3 Discussion of results8
4. Analysis9
4.1 Guidelines for error analysis9
5. Conclusions & Recommendations9
6. References 10

ABSTRACT
The aim of doing this experiment is to compare the transverse bending deflection of the tie bar and the theoretical values that obtain from the simplified formula and the exact formula when the eccentricity of the load is 75m, 55mm and 35mm. The experimental values of the deflection of the tie are obtained by reading the results of dial gauge during the experiment.

1. INTRODUCTION
Eccentric loading is the pressure directed anywhere on a component other than where the component is designed to accept the force. Sometimes the design of a mechanism or a structure demands that a tension member has to be offset from the line of the pull. This means that the member has to carry combined tension and bending, the latter increasing with the eccentricity of the load. When the load line is going out the middle third of a square tie bar, as in this experiment, the bending moment predominates and bending deflection may be considerable. The more rigorous mathematical solution of an eccentrically loaded tie bar requires some knowledge of differential equation. An approximate solution could be obtained by regarding the tie bar as a beam with equal and opposite couples applied, thus producing circular bending. The experiment provides an exaggerated demonstration of an eccentric tie to make possible a visual appreciation of the problem. It also gives an opportunity to check the order of accuracy that can be achieved by using the simple theory.

2. EXPERIMENT DESIGN
Dial Gauge

Aluminum Tie Bar

Figure 1. Eccentric Tie Bar

Dial Gauge

Aluminum Tie Bar

Figure 1. Eccentric Tie Bar

The experiment is designed as followed.

2.1 Materials
1. Eccentric Tie Apparatus
3. Weight sets 50N, 20N, 10N and 2N.
2.2 Methods
First, the gauges readings are obtained by calculate the dial gauge at the centre of the eccentric tie apparatus. The dial gauge contain of 100 divisions, to get the central of deflection, is the gauge readings multiply by the sensitivity of the dial gauge which is 0.01mm. Besides that, the central deflection also obtains by using the simple formula and exact formula. The comparison between the results will be shown in the form of graph. 2.3 Procedure

a) The apparatus with the greatest eccentric of loading (75mm) was set up and the “zero” load reading of the dial gauge was noted. b) 90N of load was added in nine increments of 10N, the reading of the central deflection for each increment was recorded in Table 1. c) The above procedure was repeated with the load at 55mm eccentric, and 120Nof load was added in increment of 20N, the results were...