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The plane stress displacement field for the pure bending problem was given by u = Mry El (vy? + x2 – P), where -1

The plane stress displacement field for the pure bending problem was given by u = Mry El (vy? + x2 – P), where -1

Elements Of Electromagnetics
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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The plane stress displacement field for the pure bending problem was given by u = - El v = (vy? + x² - P), where -1 <I<I. Using the transformation relations determine the 2EI corresponding displacements for the plane strain case. Develop a comparison plot for cach case of the y-displacemnent along the r-axis (y = 0) with v = 0.3. Usc dimensionless variables and plot %3D v(r,0)/(M2/EI) vs 1/l. Which displacement is larger and what happens as v goes to zero?
Transcribed Image Text:The plane stress displacement field for the pure bending problem was given by u = - El v = (vy? + x² - P), where -1 <I<I. Using the transformation relations determine the 2EI corresponding displacements for the plane strain case. Develop a comparison plot for cach case of the y-displacemnent along the r-axis (y = 0) with v = 0.3. Usc dimensionless variables and plot %3D v(r,0)/(M2/EI) vs 1/l. Which displacement is larger and what happens as v goes to zero?
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