2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are Ex =0.40 x 10-3 and ɛy = 0.30 x 10-3, determine ox and oy. Use E = 110 G Pa and v 0.35.Ox%3DOyI I|

Given data: The strain in the x-direction is εx=0.4×10-3 The strain in the y-direction is…

Answered: 2. A sheet of copper is stretched…

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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For the state of a plane strain with Ex, Ey and yxy components: (a) construct Mohr's circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. Ex = 250 x 10-6 Ey = 310 x 10-6 Yxy = -100 × 10-6
A steel cable is used to support an elevator cage at the bottom of a 1700-ft-deep mineshaft. A uniform normal strain of 220 μin./in. is produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. Assume D = 1700 ft and d= 700 ft. If the total normal strain in the cable at the cable drum (upper end of the cable) is 520 uin./in., determine (a) the strain in the cable at a depth of 700 ft. (b) the total elongation of the cable. Drum Cable Answers: (a) ε = (b) 8 = y i i Elevator cage D X μin./in. in.
An element of material in plain strain is subjected to strains epsilon_x=0.0015, epsilon_y=-0.0002, and gama_xy=0.0003. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.

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2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are Ex 0.40 x 10-3 and ɛy = 0.30 x 10-3, determine ox and oy. Use E = 110 GPa and v = 0.35.