A nuclear fuel pellet consists of an aluminum cladding [E1 = 90 GPa; α1 = 42.2 × 10-6 /°K] with an outside diameter of D and an inside diameter of d, restrained to a uranium core [E2 = 190 GPa; α2 = 15.9 × 10-6 /°K] with a diameter d. [D = 17 mm; d = 14 mm; L = 13 mm] Determine the normal force in the aluminum cladding if the temperature of the pellet is raised by ΔT = 317 °K. [Hint: The total axial deformations in both materials are identical. The axial forces induced in both aluminum and uranium are also identical with opposite signs.]
A nuclear fuel pellet consists of an aluminum cladding [E1 = 90 GPa; α1 = 42.2 × 10-6 /°K] with an outside diameter of D and an inside diameter of d, restrained to a uranium core [E2 = 190 GPa; α2 = 15.9 × 10-6 /°K] with a diameter d. [D = 17 mm; d = 14 mm; L = 13 mm] Determine the normal force in the aluminum cladding if the temperature of the pellet is raised by ΔT = 317 °K. [Hint: The total axial deformations in both materials are identical. The axial forces induced in both aluminum and uranium are also identical with opposite signs.]
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A nuclear fuel pellet consists of an aluminum cladding
[E1 = 90 GPa; α1 = 42.2 × 10-6 /°K] with an outside
diameter of D and an inside diameter of d, restrained to
a uranium core [E2 = 190 GPa; α2 = 15.9 × 10-6 /°K] with
a diameter d. [D = 17 mm; d = 14 mm; L = 13 mm]
Determine the normal force in the aluminum cladding if
the temperature of the pellet is raised by ΔT = 317 °K.
[Hint: The total axial deformations in both materials are
identical. The axial forces induced in both aluminum and
uranium are also identical with opposite signs.]
Transcribed Image Text:D
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