Question

Given the following strain state (given in % strain),

ε
=
⎧
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎩
ε
x
ε
y
ε
z
γ
y
z
γ
x
z
γ
x
y
⎫
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎭
=
⎧
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎩
0.01375
0.04625
−
0.035
0.1625
0.0325
−
0.0975
⎫
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎭
%

compute the state of stress (in matrix form) and the numerical value of the elastic strain energy per unit volume in
J
/
m
3
,
U
, in an isotropic steel.
E
=
200
G
P
a
and
ν
=
0.3
. Please give stress in
M
P
a
.

Answer 1

Answer:

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