A member of a 3D truss is located between the origin of rectangular coordinates and point P (1,1,0.5) m, as shown in Figure P3.1. If the member remains straight and end P experiences small displacements, u=3mm, v= 2 mm, and w=-1.5 mm, find the average extensional strain of the member.

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 2.7.12P: A bungee cord that behaves linearly elastically has an unstressed length L0= 760 mm and a stiffness...
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A member of a 3D truss is located between the origin of rectangular coordinates and
point P (1,1,0.5) m, as shown in Figure P3.1. If the member remains straight and end P
experiences small displacements, u=3 mm, v= 2 mm, and w=-1.5 mm, find the
average extensional strain of the member.
FIGURE P3.1
0.5
0.
(u, v, w)
(3,2,-1.5) mm
P₁
P(1.1, 0.5)
Transcribed Image Text:A member of a 3D truss is located between the origin of rectangular coordinates and point P (1,1,0.5) m, as shown in Figure P3.1. If the member remains straight and end P experiences small displacements, u=3 mm, v= 2 mm, and w=-1.5 mm, find the average extensional strain of the member. FIGURE P3.1 0.5 0. (u, v, w) (3,2,-1.5) mm P₁ P(1.1, 0.5)
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