What would be the equivalent stress (MPa) in simple tension according ...
's ratio is 0.3.
According to maximum principal strain theory, the equivalent stress (σ) in simple tension can be calculated using the formula:
σ = (σ1 + σ2)/2 ± [(σ1 - σ2)/2]^2 + τ^2)^0.5
where σ1 and σ2 are the two principal stresses, and τ is the shear stress.
In this case, the two principal stresses are 600 MPa and 200 MPa, respectively. Since the stresses are mutually perpendicular, there is no shear stress (τ = 0).
Therefore, the equivalent stress in simple tension can be calculated as:
σ = (600 + 200)/2 ± [(600 - 200)/2]^2 + 0^2)^0.5
= 400 ± 200
= 200 MPa or 600 MPa
Thus, the equivalent stress in simple tension according to maximum principal strain theory is either 200 MPa or 600 MPa, depending on the sign of the term [(σ1 - σ2)/2]^2. This means that the failure could occur either in tension or compression, depending on the orientation of the stress state relative to the material's yield surface.