_______________________________________________________________________
PROBLEM (8.23) At a point in a loaded structure, the stresses are as shown in Fig. P8.23. Determine
the allowable value of
σ
if the normal and shearing stresses acting simultaneously in the inclined plane
are limited to 5 and 3 ksi, respectively .
SOLUTION
We have and 15o
θ
=0
xy
τ
=
'2.5 2.5
5 cos30
22 o
x
σ
σ
σ
−+
== +
165.2866.05.210 ++−=
σ
σ
, ksi54.5
=
σ
'' 2.5
3si
n3
2o
xy 0
σ
τ
+
=− =− ksi
5.9,
=
σ
Thus,
all =ksi54.5
σ
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