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Loading of the beam I assumed to be equally spread along the length of the beam, such that the shear force acting on a point is a ration of the portions. Considering figure 1, the theoretical shear force is given by: From the results of experiment 1, the relationship between the variable load and shear force is linear. This is as indicated by the theoretical plot for the same conditions. The relationship indicates that an increase in the loading results in an increase in the amount of shear force experienced at the cut.
The error that is generated from the experiment falls within 0.5 N. Only at the origin, no load, recordings are the experimental and theoretical recordings similar, as in all the other instances the theoretical load is always lower than the experimental shear load. Errors in the recorded data may arise due to the systemic and methodology errors. The milieu in which the experiment was done such as wind, may have affected the readings, and resulted in an error, the digital meter may also be suffering from interference and thus a fluctuating read out.
From experiment 2, the reactions differ with the nature of the arrangement. The readings from the digital meter indicate that both distance and load have an effect on the reactions. The reaction of hangers closer to the loading is higher from that of the hangers further away. The errors of the experiment are in the range of 0.6 N, and the error is both positive and negative. The experimental shear force in the experiments is both lesser and more than the experimental forces. Deepening on the placement of the load, the reaction is either in the same direction or against the direction of loading thus the negative and positive nature.
Force is a scalar quantity that has both magnitude and direction, hence the negative or positive nature. The reaction of loading, in shear force, relies on the distance from the point of
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