Answered: A thin plate is subjected to a biaxial…

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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A thin plate is subjected to a biaxial stress field of  x= 1 Gpa and  y= 0.5 Gpa. Calculate the strains in the xy directions if the plate is made of (a) steel, (b) a 0° unidirectional boron-epoxy composite. For the boron-epoxy composite use the following properties: Young’s Modulus at 0°=207 Gpa, modulus at 90° = 19 Gpa,  12=0.21, G12= 6.4 Gpa. Assume for steel a young’s modulus = 207 GPa

2. A thin plate is subjected to a biaxial stress field of o,= 1 Gpa and oy= 0.5 Gpa. Calculate the strains
in the xy directions if the plate is made of (a) steel, (b) a 0* unidirectional boron-epoxy composite.
For the boron-epoxy composite use the following properties: Young's Modulus at 0*=207 Gpa,
modulus at 90° = 19 Gpa, v2=0.21, G2= 6.4 Gpa. Assume for steel a young's modulus = 207 GPa
3. If the engineering strain in a tensile bar is 0.0025 and Poisson's ratio is 0.33, find the original
length and the original diameter if the length anddiameter under load are 2.333 ft. and 1.005 in.
respectively.

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