Notes prepared by
(01) K
ı
vanç Arslan
(02) Engin Cem
Ş
engezer
References:
Juvinall(2006), Ugural and Fenster(2003)
Stress Equilibrium
Consider stress equilibrium of an infinitesimal volume element and assume that each component of
stress is continuously differentiable function of
y
x
,
and
z
.Continuously differentiable function
of
f
x
x
x
f
x
f
x
x
f
Δ
∂
∂
+
≈
Δ
+
)
(
)
(
The components of stresses on faces of an infinitesimal cube are in figure
Normal and shear stresses on cubic infinitesimal element
ߪ
௫௫
߲ߪ
௫௫
߲ݔ
ߜݔ
ߪ
௬௬
߲ߪ
௬௬
߲ݕ
ߜݕ
ߪ
௬௬
ߪ
௫௫
߬
௫௬
߲߬
௫௬
߲ݕ
ߜݕ
߬
௫௬
B
z
B
y
B
x

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