Estimating Loads By Measuring Deflections

 

Calibrate Two Beams for Estimating Loads By Measuring Deflections (8 points)
For two different beams, apply for 4 different loading levels of known weights and measure the
deflection at a particular point. These can be different beam materials or the same beam under
different support conditions.
Document your work (pictures!) and develop a relationship between the measured deflection and
the applied load, such that if an unknown weight were applied you could solve for it using the
measured deflection. Explain how you got the theoretical deflection (source, derived, etc.). Show
a sample calculation that you performed for each beam.
Show the theoretical calculation for your beam deflection and the actual measured. Why are
they different (explain any assumptions you used). Do these have any trends with load level, or is
it pretty uniform?
Plastic Pen Strength (8 points)
Devise a way to measure/estimate the ultimate strength of a plastic pen. Try to get as accurate of
a measurement as possible of the geometry and explain your method. Run at least 4
tests/measurements of the same sample type. Include schematics and/or pictures of your set-up.
Write a brief report (~2 pages) summarizing your methods and findings, including sample
calculations. Include the following information:
a. Estimate the local maximum stress at failure for the rubber bands. Give the standard
deviation for these measurements, and show your calculation.
b. Explain the type of loading applied (bending, shear, axial, etc.) and discuss what would occur
in the other loading cases (test one, if possible).
c. Describe the sort of failure was observed (brittle, ductile, etc.)? Does it initiate at a particular
location consistently?
d. Research some common materials (at least 3) and properties for plastics/polymers used for
these applications. Give their properties and try to classify the material in your situation as best
as you can.

 

Sample Solution

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