05) Find the minimum volume of the truss shown with constraints on the depth of the truss (v), cross-sectional areas of the bars (Al and A2), and the stresses induced in the bars (ol and o2). Treat y, A1, and A2 as design variables with oi < 105 Pa (i = 1, 2), 1 msys4 m, and 0< Ai <0.2 m2 (i = 1, 2). %3D 9 m y Bar I Bar 2 (area = A) (area = A) %3D P= 1000 N

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 2.8.6P
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05) Find the minimum volume of the truss shown with constraints on the depth of the
truss (y), cross-sectional areas of the bars (Al and A2), and the stresses induced in the
bars (ol and o2). Treat y, Al, and A2 as design variables with oi < 105 Pa (i 1, 2), 1
msys4 m, and 0< Ai <0.2 m2 (i = 1, 2).
9 m
y
Bar I
Bar 2
(area = Ap)
(arca = A3)
P = 1000 N
Transcribed Image Text:05) Find the minimum volume of the truss shown with constraints on the depth of the truss (y), cross-sectional areas of the bars (Al and A2), and the stresses induced in the bars (ol and o2). Treat y, Al, and A2 as design variables with oi < 105 Pa (i 1, 2), 1 msys4 m, and 0< Ai <0.2 m2 (i = 1, 2). 9 m y Bar I Bar 2 (area = Ap) (arca = A3) P = 1000 N
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