Maketing

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Table of Contents

• Objective……………………………………………………………………………………………………………….3

• Method………………………………………………………………………………………………………………….3

• Results/Discussion….……………………………………………………………………………………………..3

o Question 1…………………………………………………………………………………………….…..3

o Question 2…………………………………………………………………………………..……………..5

o Question 3…………………………………………………………………………………………………..6

o Question 4…………………………………………………………………………………………………..7

o Question 5……………………………………………………………………………….…………………..8

• Conclusion………………………………………………………………………………………………………………..

• Appendix………………………………………………………………………………………………………………..

OBJECTIVE

The purpose of this assignment is to experimentally and analytically determine shear forces and bending moments when an external load is applied in various scenarios. In turn, we aim to investigate the relative accuracy of such comparisons taking into considerations possible practical applications and possible attributes to the error. Additionally, we attempt to develop shear force and bending moment diagrams using MATLAB. Finally we investigate the loadings in a real life situation to provide an analysis of the overall load structure.

METHOD

❖ In the practical experiment we applied various loads in different situations to obtain experimental readings for both shear force and bending moments at a given point.

❖ During the procedure it was important to ensure that the experiment components were properly aligned. This included ensuring the four corners of the apparatus were flushed on the table and that the right and left arms were horizontally aligned.

❖ Moreover, we zeroed the dial gauge before each experiment to maximise the accuracy of the reading.

❖ We then applied the loads in various situations: Concentrated Single Load, Concentrated Double Loads and Moving Double Loads

❖ Upon loading, it was also important to take reading at eye level as reading it from an elevated or lower level would provide a less accurate result.

❖ Between each experiment we ensured the beams were again horizontal to the best of our abilities, as the removal of the load may have lead to the beam being bent.

❖ After recording all the experimental results we calculated the force analytically which can be reviewed in the Appendix.

RESULTS/DISCUSSION

Part 1 – Experiment VS Analysis

Question 1 – Concentrated Single Load

a) Experimental Bending Moment and Shear Force for Case 1 and 2

i) Distance between the joint and left support = 0.265m

ii) Table 1: Experimental Load Readings Bending Moment and Shear Force for Case 1 & 2

| |Case 1 |Case 2 | |Shear Force |6N |4N | |Bending Moment |22N × 0.1m = 2.2 N.m |12N × 0.1m = 1.2N.m |

b) Analytical Bending Moment and Shear Force for Case 1 and 2

[pic] Table 2: Analytical Load Readings Bending Moment and Shear Force

| |Case 1 |Case 2 | |Shear Force |7.5N |3.7N | |Bending Moment |2N.m |1N.m |

Source: Appendix

c) Error in percentage terms between experimental and analytical results

Table 3: Error Differences in Shear Force and Bending Moment

| |Case 1 |Case 2 | |Shear...
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