Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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2. The following displacement field is applied to a certain body
=k(2x+y²), v=k(x² − 3y²), w=0
U =
where k = 10-4,
(a) show the distorted configuration of a two-dimensional element with sides dx and
dy and its lower left corner (point A) initially at the point (2,1,0), i.e., determine
and sketch the new length and angular position of each side. You may exaggerate
the plot to facilitate visualization;
(b) determine the coordinates of point A after the displacement field is applied;
(c) find o at this point;
(d) find the maximum, minimum normal strain and maximum shear strain at this
point.
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Transcribed Image Text:2. The following displacement field is applied to a certain body =k(2x+y²), v=k(x² − 3y²), w=0 U = where k = 10-4, (a) show the distorted configuration of a two-dimensional element with sides dx and dy and its lower left corner (point A) initially at the point (2,1,0), i.e., determine and sketch the new length and angular position of each side. You may exaggerate the plot to facilitate visualization; (b) determine the coordinates of point A after the displacement field is applied; (c) find o at this point; (d) find the maximum, minimum normal strain and maximum shear strain at this point.
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