Solve b and c The state of plane strain on a differential element of material is shown below. The strains are € = 0, y = −350(106), and Yzy = 125(106).&,dydyYxy2dxxYxy2-&.dxa) Determine the equivalent strains on an element oriented 35.0° counterclockwise from the differential element shown.Ey' =Vx'y' =b) Determine the in-plane principal strains on the oriented element.€1=€2 =C) Determine the maximum in-plane shear strain and the associated average normal strain on the oriented element.maxVin planeEavg ==

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Answered: The state of plane strain on a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Problem 1.1MA

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For the given state of plane strain, use Mohr's circle to determine the state of plane strain associated with axes x' and y rotated through the given angle 8. Ex=-500μ, &y=+250µ, Yxy = 0, 0 = 13° O (Round the final answers to one decimal place.) The strains are Ex'= Ey₁ = | Vx'y¹=[ H
The state of strain in a plane element is €x = -200 x 10-6 , Ey = 100 × 10-6 , and Yxy = 75 x 10-6 , as shown below. Determine the equivalent state of strain which represents (a) the principal strains (b) the maximum in-plane shear strain and the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original element. y Eydy Yxy 2 dy Yxy FExdx 2 dx
The state of a plane strain at a point has the components &x 500 (10-5), ɛy = 250 (10-6) and Yxy = 200 (10-6). Determine the principal strains and the maximum in plane shear strain. Select one: E1 = 535 (10 ), e2 = -215 (10-) and ymax in-plane = -320 (10 ). %3D = 535 (10-), E = 215 (10) and ymax in-plane = 160 (10). E = 535 (10), ɛ2 = -215 (10°) and ymax in-plane = 320 (10). E = 535 (10-), 82 = 215 (10) and ymax in-plane = 320 (10). E1 = -535 (10) E2 = -215 (10) and ymax in-pare = -320 (10°).
1
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A 0.625 in. thick rectangular alloy bar is subjected to a tensile load P by pins at A and B as shown. The width of the bar is w = 2.00 in. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: εx = 1,140 με and εy = −315 με. a) Determine the Poisson’s ratio for this material. b) If the measured strains were produced by an axial load of P=17.4 kips, what is the modulus of elasticity for this specimen?
A differential element is subjected to plane strain that has the following components; Px = 950(10-6), Py = 420(10-6), gxy = -325(10-6). Use the strain transformation equations and determine (a) the principal strains and (b) the maximum in-plane shear strain and the associated average strain. In each case specify the orientation of the element and show how the strains deform the element.
Part B - Principal Strains on the Oriented Element Determine the in-plane principal strains on the oriented element. Express your answers, separated by a comma, to three significant figures. ► View Available Hint(s) €1=, €2= Submit IVE ΑΣΦ 41 vec Previous Answers ?
1. A loading causes the member to deform into the dashed shape. Explain how to determine the normal strains ɛcd and ɛAB. The displacement A and the lettered dimensions are known. B L. L/2 A 2 L (а) L. B L/2 A 2 L (b)
Completely solve the problem. Box the final answer. Write legilby.
The 60° strain rosette shown below, is mounted on the surface of a thin shell. The following readings are obtained for each gage: Ea = -780 x 10-6 , Eb = 400 × 10-6, and ec= 500 × 10-6. Determine (a) the principal strains (b) the maximum in-plane shear strain and the associated average normal strain. C 60° 60° a
If a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal AC. D 2 mm 3 mm 20 mm A B 20 mm Select one: 0.0326 0.0607 0.0853 0.1281 0.1402

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