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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb575d4aa-617f-4320-be65-135468ab142e%2F57c1aec3-a236-4ee6-bf7d-78228cdfe004%2Fn99b0kl_processed.png&w=3840&q=75)
Transcribed Image Text: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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