Consider a two-dimensional problem. The stress transformation formulae are then. in full, cos 8-sin 8 1-[- [on on] -sin cos 021 022 sine cose [on on cose sin Multiply the right hand side out and use the fact that the stress tensor is symmetric (012 = 21 - not true for all tensors). What do you get? Look familiar?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Consider a two-dimensional problem. The stress transformation formulae are then,
in full.
on on
11
12
31-[
COSA
sinė Tσ, σcos - sin
12
0.7
cosσ₁ σ₂ sinė
cose
Multiply the right hand side out and use the fact that the stress tensor is symmetric
(012 = 021 - not true for all tensors). What do you get? Look familiar?
on on
21
sin
0
Transcribed Image Text:Consider a two-dimensional problem. The stress transformation formulae are then, in full. on on 11 12 31-[ COSA sinė Tσ, σcos - sin 12 0.7 cosσ₁ σ₂ sinė cose Multiply the right hand side out and use the fact that the stress tensor is symmetric (012 = 021 - not true for all tensors). What do you get? Look familiar? on on 21 sin 0
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