On the free surface of an extruded acrylic polymer [E = 3.5 GPa; v = 0.32] sheet, three strain gages arranged as shown record thefollowing strains at a point: ε--420 με, ε, -+600 με, ε, -+490 με. Determine(a) the strain components E, Ɛy, and Yxy at the point.(b) the maximum in-plane shear strain Ymax-(c) the stresses O, Oy, and Ty at the point.y45°45°aUse the strain transformation equations to determine the strain components Ex, Ey, and yxy at the point.Answer:Ex =μεEy =iμεYxy =prad

Answered: Image /qna-images/answer/57c1aec3-a236-4ee6-bf7d-78228cdfe004.jpg

On the free surface of an extruded acrylic polymer [E = 3.5 GPa; v = 0.32] sheet, three strain gages arranged as shown record the following strains at a point: €, = -420 pɛ, ɛb = +600 µɛ, ɛc = +490 µɛ. Determine (a) the strain components E, Ey, and Yxy at the point. (b) the maximum in-plane shear strain Ymax- (c) the stresses O, y, and Tyy at the point.

On the free surface of an extruded acrylic polymer [E = 3.5 GPa; v = 0.32] sheet, three strain gages arranged as shown record the following strains at a point: €, = -420 pɛ, ɛb = +600 µɛ, ɛc = +490 µɛ. Determine (a) the strain components E, Ey, and Yxy at the point. (b) the maximum in-plane shear strain Ymax- (c) the stresses O, y, and Tyy at the point.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

On the free surface of an extruded acrylic polymer [E = 3.5 GPa; v = 0.32] sheet, three strain gages arranged as shown record the
following strains at a point: ε--420 με, ε, -+600 με, ε, -+490 με. Determine
(a) the strain components E, Ɛy, and Yxy at the point.
(b) the maximum in-plane shear strain Ymax-
(c) the stresses O, Oy, and Ty at the point.
y
45°
45°
a
Use the strain transformation equations to determine the strain components Ex, Ey, and yxy at the point.
Answer:
Ex =
με
Ey =
i
με
Yxy =
prad

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