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| Elastic beam apparatus |
AIM
To investigate the reactions and deflections of proposed cantilever
APPARATUS
Elastic beam apparatus, load link, standard loads writing materials, e.t.c.
PROCEDURE
Lock the actuator arm of the left end support and clam the thicker still strip (2.64mm) in the position shown to form a cantilever of 400mm length. In first place, the adjustable prop assembly should be in the position shown dotted so that It does not support the cantilever. Clamp the load hanger 300mm from the fixed end and set up a gauge to measure the displacement at 400mm for that end.
Measure the displacement when loads of 5N and 10n are placed on the hanger. Now move the load hanger to the 400mm position and re-fix the dial gauge over it. Add weight to the hanger until the previous measured displacement are obtain again.
Move the load hanger back to its original positon. Set the dial gauge over the prop and note the reading as datum value; read “the load” condition of cantilever. Put the 5N load on the hanger and adjust the height of the prop assembly until the displacement and the end of the cantilever is zero (that is, the dial gauge reads its datum value).
Record the reaction reading of the prop.
Repeat this with the 10N load
Finally, move he displacement dial gauge to the load hanger position and then ensure that on the adjustable prop the height adjustment vernier reads the same as the reaction dial gauge.
Note the “no load” readings and place the 5N load on the load hanger. Cancel out the prop displacement by altering the height Vernier to agree with the new reaction reading. It will observed that as this is done the reaction reading will increase slightly. Record the reaction reading and the displacement at the load hanger. Repeat this with the 10N load.
Result
By superposition the results of the first two sections of the experiment should equate to the last two sections.
Hence, compare the reactions measured in the latter with two end loads found in the former. Use the results to construct a bending moment diagram for the propped cantilever.
CONCLUSION
Apply the area-moment method to calculate the deflection at the load point and compare this with the measured value
Observed: how well does theory and experiment agree in this case?
Precaution: what are the precautions you took
Does the method of equating the end displacements lead to a solution for the propped cantilever
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