تم الحل ✓
categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
(6.2) For an elastic circular bar with homogeneous
Young's modulus we know that the normal stress
is given in terms of the axial force as σ = = R/A.
Find the corresponding formula for a bar that has
been functionally graded in the radial direction so
that the Young's modulus can be expressed as
E(r) = B+ Cr,
where B and C are given material constants.
Assume the bar has a radius a. (Hint: your answer
should be equivalent to
Cr)/[2π(Ba2/2+ Ca³/3)],
coordinate.)
σxx (r, z) = R(2)(B+
where z is the axial
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