A circular nylon [E = 8 GPa; ν = 0.35; α = 29 ×10-6/°C] disk with a circular hole in its center is shown. At an initial temperature of Ti = 22°C, the outer diameter of the disk is D = 210 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 24 mm. At a final temperature of Tf = 46°C, determine: (a) the change in diameter Δd of the central hole (assume an increase Δd as positive, otherwise as negative). (b) the change in thickness Δt of the disk (assume an increase Δt as positive, otherwise as negative). (c) the normal strain in the circumferential direction around the outside of the disk.
A circular nylon [E = 8 GPa; ν = 0.35; α = 29 ×10-6/°C] disk with a circular hole in its center is shown. At an initial temperature of Ti = 22°C, the outer diameter of the disk is D = 210 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 24 mm. At a final temperature of Tf = 46°C, determine: (a) the change in diameter Δd of the central hole (assume an increase Δd as positive, otherwise as negative). (b) the change in thickness Δt of the disk (assume an increase Δt as positive, otherwise as negative). (c) the normal strain in the circumferential direction around the outside of the disk.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A circular nylon [E = 8 GPa; ν = 0.35; α = 29 ×10-6/°C] disk with a circular hole in its center is shown. At an initial temperature of Ti = 22°C, the outer diameter of the disk is D = 210 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 24 mm. At a final temperature of Tf = 46°C, determine:
(a) the change in diameter Δd of the central hole (assume an increase Δd as positive, otherwise as negative).
(b) the change in thickness Δt of the disk (assume an increase Δt as positive, otherwise as negative).
(c) the normal strain in the circumferential direction around the outside of the disk.
Transcribed Image Text:d
D
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