sm8 21

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PROBLEM (8.21) The stresses acting uniformly at the edges of a thick. rectangular plate are shown
in Fig. P8.21. Determine the stress components on planes parallel and perpendicular to a-a. Show the
results on a properly oriented element.
SOLUTION
o
30−= θ
MPa
o
yx 85.8445cos120 −=−==
σσ
MPa
o
xy 85.8445sin120 −=−=
τ
'84.85 84.85 0 cos( 60 ) 84.85sin( 60 )
22oo
x
σ
+
=− + − − −
MPa4.1148.7385.84 −=+−=
MPa
y3.15848.7385.84 '−=−−=
σ
MPa
o
yx 4.42)60cos(85.840
'' −=−−=
τ
x
’
158.3 MPa
y
’
30o
11.4 MPa
x
42.4 MPa
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