n someone explain how we get to the numbers 476,-84,-252
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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can someone explain how we get to the numbers 476,-84,-252
![o.
[E]
-0.005
002
To determine the stress associated with this strain state we need to determine the elastic stiffness
matrix (equation on the formula sheet)
normal
84 28 28
28 84 28
[De] =
components
only
GPa.
28 28 84
Multiplying this stiffness by the vector form of the logarithmic strain gives the principal components
(ordered accordingly to the normal convention - most tensile to most compressive) of the Kirchhoff
stress as
६६
476
84 28 28
0.008
-84
мра
{T} =
28 84 28
{
-0.002
× 10⁹
28 28 84
-0.005
252
E3
If we check this against the Tresca yield equation we find](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffddb65e0-e7d6-405b-9c78-843cb0108eeb%2Fdacb0722-e23b-44bd-a14d-e0f6bb1b415a%2Fuuoum55_processed.png&w=3840&q=75)
Transcribed Image Text:o.
[E]
-0.005
002
To determine the stress associated with this strain state we need to determine the elastic stiffness
matrix (equation on the formula sheet)
normal
84 28 28
28 84 28
[De] =
components
only
GPa.
28 28 84
Multiplying this stiffness by the vector form of the logarithmic strain gives the principal components
(ordered accordingly to the normal convention - most tensile to most compressive) of the Kirchhoff
stress as
६६
476
84 28 28
0.008
-84
мра
{T} =
28 84 28
{
-0.002
× 10⁹
28 28 84
-0.005
252
E3
If we check this against the Tresca yield equation we find
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