3.27 The biaxial state of strain at a point is given by 11 = 800x10-6 in./in., 22 = 200×10-6 in./in., €12 = 400 x 10-6 in./in. Find the principal strains and their directions.
3.27 The biaxial state of strain at a point is given by 11 = 800x10-6 in./in., 22 = 200×10-6 in./in., €12 = 400 x 10-6 in./in. Find the principal strains and their directions.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem 3.27**
The biaxial state of strain at a point is given by:
\[
\varepsilon_{11} = 800 \times 10^{-6} \text{ in./in.}, \quad \varepsilon_{22} = 200 \times 10^{-6} \text{ in./in.}, \quad \varepsilon_{12} = 400 \times 10^{-6} \text{ in./in.}
\]
Find the principal strains and their directions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bf1c5b3-57c2-46ee-9184-9ffa514a30cb%2Fbec85656-90ca-4b70-8e8c-f1befd080f64%2Foes8k7b_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 3.27**
The biaxial state of strain at a point is given by:
\[
\varepsilon_{11} = 800 \times 10^{-6} \text{ in./in.}, \quad \varepsilon_{22} = 200 \times 10^{-6} \text{ in./in.}, \quad \varepsilon_{12} = 400 \times 10^{-6} \text{ in./in.}
\]
Find the principal strains and their directions.
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