Stress Analysis Problem Solution: Triangular Plate

_______________________________________________________________________
PROBLEM (8.11) A triangular plate is subjected to stresses as shown in Fig. P8.11. Determine
x
σ
,
y
σ
, and
x
y
τ
and sketch the results on a properly oriented element.
SOLUTION
x
’
200 MPa
y
’
45o
y
x
50 MPa
'' 0sin90c
2
xy oo
xy xy os90
σ
σ
ττ
−
==− +
or
yx
σ
σ
=
(1)
o
xyxx 90sin0200
'
τσσ ++=−=
(2)
o
xyxy 90sin050
'
τσσ −−=−=
Subtract (1) from (2):
MPa
xy 75−=
τ
Add (1) and (2):
MPa
yx 125−==
σ
σ
125 MPa
125 MPa
75 MPa
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