_______________________________________________________________________
PROBLEM (8.9) The state of stress at a point A of the airplane bracket under a service pull P is
represented by an element as illustrated shown in Fig. P8:9.
Given:
x
σ
= y
σ
= 0,
x
y
τ
= 15 ksi (pure shear)
Determine the stresses on all sides of an element rotated through an angle
θ
= 22.5o and show their sense
on the element.
SOLUTION
o
xyyx ksi 5.22150 ====
θτσσ
Equations (4.4):
ksi
o
x61.1045sin15
'==
σ
ksi
o
yx 61.1045cos15
'' ==
τ
ksi
o
y61.1045sin15
'−=−=
σ
x
’
10.61 ksi
y
’
22.5o
10.61 ksi
x
10.61 ksi
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