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sm8 26

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PROBLEM (8.26) A welded plate is subjected to uniform biaxial tension as shown in Fig. P8.26.
Calculate the maximum stress σ for two cases:
(a) The weld has an allowable shear stress of 25 MPa.
(b) The weld has an allowable normal stress of 60 MPa.
SOLUTION
τ xy = 0
θ = 60 o
σ − 40
(a) τ x ' y ' = −25 = −
(b) σ x ' = 60 =
2
sin120o
σ + 40 σ − 40
2
+
2
σ = 97.7 MPa
cos120o
σ = 120 MPa
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