Consider the figure shown below. B' UB L A UA The fiber AB has an undeformed length of L = 1.6 m. In its original position, it makes an angle theta = 47 in degrees with the x-axis as shown. After a load is applied, the ends A and B undergo displacements ua and VB, respectively along the x and y axes as indicated in the figure. If the displacements u, = 0.4 (in m) and vg = 0.5 (in m), then compute the normal strain (up to three decimal places) when it reaches the new configuration A'B'. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the figure shown below.
B'
VB
L
UA A'
The fiber AB has an undeformed length of L = 1.6 m. In its original position, it makes an angle theta = 47 in
degrees with the x-axis as shown. After a load is applied, the ends A and B undergo displacements ua and vB,
respectively along the x and y axes as indicated in the figure. If the displacements u, = 0.4 (in m) and vg = 0.5 (in
m), then compute the normal strain (up to three decimal places) when it reaches the new configuration A'B'.
Answer:
Transcribed Image Text:Consider the figure shown below. B' VB L UA A' The fiber AB has an undeformed length of L = 1.6 m. In its original position, it makes an angle theta = 47 in degrees with the x-axis as shown. After a load is applied, the ends A and B undergo displacements ua and vB, respectively along the x and y axes as indicated in the figure. If the displacements u, = 0.4 (in m) and vg = 0.5 (in m), then compute the normal strain (up to three decimal places) when it reaches the new configuration A'B'. Answer:
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