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Unsymmetrical Bending of a Cantilever - Lab Report Example

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Unsymmetrical Bending of a Cantilever

The equipment was set up as shown in the laboratory manual. The two rearward were loosened and the inner two datum pegs made to contact by setting the angle between the two indicators at 900. One of the specimens was selected and fitted in the bottom chuck with the top chuck fitted with the top of the specimen and the extension piece to the bottom chuck. The cord was then placed on the groove and passed over the sliding pulley. The specimen was then rotated after undoing the top chuck. The indicators were allowed to travel 10 mm forward and 3 mm backward. The frame was tapped to reduce friction and loads applied in 100 g increments upto 500 g on the end of the cord. The resulting deflectins were recorded under Head angle: 0°’ title. The procedure was repeated while rotating the specimen clockwise 22.5° while tightening.
By using dU/dP and dV/dP as a point’s coordinate, the points therein formed the Mohr’s circle as shown in the results. From the circle, the IX and IY were calculated for the experiment and compared to the theoretical calculation. Further, the graph of U and V (mm) against the pulling mass was used to determine the influence of the readings on load’s eccentricity. This graph was useful in finding the position at which the readings of the two indicators were equal. From this, the shear center was established by determining the intersection point. In which case, whenever the load is placed at the intersection point (shear center), the beam does not twist, since the two indicators’ readings are equal (Ross, 2009, 198).
In order to verify the completeness of the results, hand calculations were done and then compared with the theoretical values. In which case, the distance between shear center and line L was calculated to confirm the accuracy of the results. However, there was a difference that can be ...Show more

Summary

After compiling the data for cantilever, the direction of deflection is resolved both for the right and left indicator as shown in the…
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