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
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 2.2.21P: Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35b841ab-0749-41e0-9513-310fecbf6429%2F7d42eeef-aaaa-477d-812a-f5170701247e%2F2uamhdx_processed.jpeg&w=3840&q=75)
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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