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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

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

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