A circular nylon [E = 8 GPa; v=0.35; a=20x106/°C] disk with a circular hole in its center is shown. At an initial temperature of T; = 19°C, the outer diameter of the disk is D = 230 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 19 mm. At a final temperature of T₁ = 52°C, determine: (a) the change in diameter Ad of the central hole (assume an increase Ad as positive, otherwise as negative). (b) the change in thickness At of the disk (assume an increase At as positive, otherwise as negative). (c) the normal strain in the circumferential direction around the outside of the disk. • Answers: (a) Ad= 0.0363 (b) At = 0.01254 (c) Ecirc= 660 d D mm mm με
A circular nylon [E = 8 GPa; v=0.35; a=20x106/°C] disk with a circular hole in its center is shown. At an initial temperature of T; = 19°C, the outer diameter of the disk is D = 230 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 19 mm. At a final temperature of T₁ = 52°C, determine: (a) the change in diameter Ad of the central hole (assume an increase Ad as positive, otherwise as negative). (b) the change in thickness At of the disk (assume an increase At as positive, otherwise as negative). (c) the normal strain in the circumferential direction around the outside of the disk. • Answers: (a) Ad= 0.0363 (b) At = 0.01254 (c) Ecirc= 660 d D mm mm με
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![A circular nylon [E = 8 GPa; v=0.35; a=20x106/°C] disk with a circular hole in its center is shown. At an initial temperature of T;=
19°C, the outer diameter of the disk is D = 230 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 19
mm. At a final temperature of Tf= 52°C, determine:
(a) the change in diameter Ad of the central hole (assume an increase Ad as positive, otherwise as negative).
(b) the change in thickness At of the disk (assume an increase At as positive, otherwise as negative).
(c) the normal strain in the circumferential direction around the outside of the disk.
O
Answers:
(a) Ad=
(b) At=
(c) Ecirc
0.0363
0.01254
660
D
mm
mm
με](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F723ce8c7-e69d-4dc2-ad89-8bab285851e2%2F3e68bff3-af09-4984-960a-f263bb9d2eaf%2Fn5hnm0o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A circular nylon [E = 8 GPa; v=0.35; a=20x106/°C] disk with a circular hole in its center is shown. At an initial temperature of T;=
19°C, the outer diameter of the disk is D = 230 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 19
mm. At a final temperature of Tf= 52°C, determine:
(a) the change in diameter Ad of the central hole (assume an increase Ad as positive, otherwise as negative).
(b) the change in thickness At of the disk (assume an increase At as positive, otherwise as negative).
(c) the normal strain in the circumferential direction around the outside of the disk.
O
Answers:
(a) Ad=
(b) At=
(c) Ecirc
0.0363
0.01254
660
D
mm
mm
με
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