Prob. 2.3-10. A rod AB, whose unstretched length is L, is originally oriented at angle 0 counterclockwise from the +x axis. (a) If the rod is free to rotate about a fixed pin at A, what is the extensional strain in the rod when end B moves a distance u in the +x direction to point B*? Express your answer in terms of the displacement u, the original length L, and the original angle 0. (b) Simplify the answer you ob- tained for Part (a), obtaining a small-displacement approxi- mation that is valid if u « L. (Note: This result will be used in Section 3.10.) P2.3-10

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.7.4P: The bar ABC shown in the figure is loaded by a force P acting at end C and by a force Q acting at...
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2C
Prob. 2.3-10. A rod AB, whose unstretched length is L, is
originally oriented at angle 0 counterclockwise from the +x
axis. (a) If the rod is free to rotate about a fixed pin at A,
what is the extensional strain in the rod when end B moves
a distance u in the +x direction to point B*? Express your
answer in terms of the displacement u, the original length L,
and the original angle 0. (b) Simplify the answer you ob-
tained for Part (a), obtaining a small-displacement approxi-
mation that is valid if u «L. (Note: This result will be used
in Section 3.10.)
P2.3-10
Transcribed Image Text:2C Prob. 2.3-10. A rod AB, whose unstretched length is L, is originally oriented at angle 0 counterclockwise from the +x axis. (a) If the rod is free to rotate about a fixed pin at A, what is the extensional strain in the rod when end B moves a distance u in the +x direction to point B*? Express your answer in terms of the displacement u, the original length L, and the original angle 0. (b) Simplify the answer you ob- tained for Part (a), obtaining a small-displacement approxi- mation that is valid if u «L. (Note: This result will be used in Section 3.10.) P2.3-10
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