You are part of an industrial design team tasked with selecting alternative mate
ID: 1821254 • Letter: Y
Question
You are part of an industrial design team tasked with selecting alternativematerials to those that are currently used (low-carbon steel) in an implant to be
used in a human scapula. The part must meet specified lateral dimensions (ie
length & width) but its thickness can be varied. Also, since it is being used in the
human body, another goal is to make it as light as possible. The part must be
able to sustain a bending load F without yielding. The failure load of a beam F =
Isf/ymL, where ym is the distance between the neutral axis of the beam and its
outer surface, and I = bh3/C1 is the second moment of the cross-section a. Please summarize the design requirements in the form of a table
and derive the appropriate materials index.
b. Show how the mass and cost of an alternate material are related
to that of the low-carbon steel, ie m/m0 = ? ; C/C0 =?, where the
subscript “0” denotes low-carbon steel.
c. Define a relative penalty function, using a relative exchange
constant a*.
e. Explain the physical meaning of the relative exchange constants, by
comparing the two values, and the selections that they suggest.
Explanation / Answer
oh yea!!!!!!!!!!!!!!!!!
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