Yeong Wilson

Wyman Kang Eng Kian

Andreas Tanuwijaya

Yap Si Yu

School of Engineering

Taylor’s University College

Malaysia

17 April 2010

Deflection of an Eccentric Tie

Table of Contents

Abstract 3 1. Experiment Design 3

1.1 Method 3 2. Results & Discussions4 2.1 Result 4

2.2 Discussions 5

3. Conclusions & Recommendations6 References6

* ABSTRACT

This experiment is conducted to calculate the transverse bending deflection of the tie bar and compare it to the theoretical values. There are two theoretical formulae that are given in this experiment which are simple theory method and exact formula. By comparing the values, the adequate method to calculate the deflection of tie bar can be found. besides, the 10% of error is accepted for simple theory method in order it to become adequate. * 1.0 Experiment design

Figure [ 1 ]: Eccentric Tie Apparatus

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* 1.1 Method

* The method uses in this experiment by measuring the gauge at the centre of the eccentric tie apparatus. It will give the number of divisions and times it with 0.01 to get the measurement as one division is equal to 0.01 mm. The product is the deflection of the tie bar, Δ. After that, the Δ also will be calculated using the simplified theory formula and exact formula. The compare the results that been obtained in the form of graph. *

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* 2.0 RESULTS &Discussions

2.1 Result

Eccentric level: 75 mm

Applied Load, P (N)| End Moment, M (kN.mm)| Gauge Reading (No. of Divisions)| Central Deflection, Δ(mm)| Simple central deflection Δ(mm)| Exact Central Deflection, Δ(mm)| | | | | | |

0| 0.00| 0| 0.00| 0.00| 0.00|

10| 0.75| 67| 0.67| 1.28| 1.26|

20| 1.50| 152| 1.52| 2.56| 2.49|

30| 2.25| 251| 2.51| 3.84| 3.69|

40| 3.00| 345| 3.45| 5.12| 4.85|

50| 3.75| 474| 4.74| 6.41| 5.98|

60| 4.50| 587| 5.87| 7.69| 7.08|

70| 5.25| 690| 6.90| 8.97| 8.15|

Table [ 1 ]: Result for eccentricity level of 75 mm

Eccentric level: 55mm

Applied Load, P (N)| End Moment, M (kN.mm)| Gauge Reading (No. of Divisions)| Central Deflection, Δ(mm)| Simple central deflection Δ(mm)| Exact Central Deflection, Δ(mm)| | | | | | |

0| 0.00| 0| 0.00| 0.00| 0.00|

20| 1.10| 130| 1.30| 1.88| 1.83|

40| 2.20| 258| 2.58| 3.76| 3.56|

60| 3.30| 390| 3.90| 5.64| 5.19|

80| 4.40| 516| 5.16| 7.52| 6.75|

100| 5.50| 642| 6.42| 9.39| 8.22|

120| 6.60| 870| 8.70| 11.27| 9.62|

Table [ 2 ]: Result for eccentricity level of 55 mm

Eccentric level: 35mm

Applied Load, P (N)| End Moment, M (kN.mm)| Gauge Reading (No. of Divisions)| Central Deflection, Δ(mm)| Simple central deflection Δ(mm)| Exact Central Deflection, Δ(mm)| | | | | | |

0| 0.00| 0| 0.00| 0.00| 0.00|

20| 0.70| 70| 0.70| 1.20| 1.16|

40| 1.40| 158| 1.58| 2.39| 2.26|

60| 2.10| 243| 2.43| 3.59| 3.3|

80| 2.80| 330| 3.30| 4.78| 4.29|

100| 3.50| 425| 4.25| 5.98| 5.23|

120| 4.20| 500| 5.00| 7.17| 6.12|

140| 4.90| 579| 5.79| 8.37| 6.97|

Table [ 3 ]: Result for eccentricity level of 35 mm

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Graph [ 1 ]: Graph of Central deflection against End moment for eccentricity level of 35mm 2.2 Discussion

There are several assumptions that have been introduced regarding the simple bending theory. They are eight all together...