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I am looking into calculating the weld bead strength. I am unsure of calculating the shear stress..the attachment has a schematic of my application...Any help would be appreciated.
In this particular case you may add as you suggested since the deformations you can add (stresses are fictions only deformations are real).
The von Mises equivalent stress will be in absence of σ as follows: σvM = τres* 3^0.5.
i am sorry, i am not totally understanding your statement....could you please explain
Deformations are γ*dz and τ=γ*G. You may add them GEOMETRICALLY and lacements assuming the material with same G in all directions you get :
γres* dz = ((γxγ*dz)^2+(γyx*dz)^2)^0.5 if you replace γ =τ/G the you obtain that
τres = (τxy^2+τyx^2)^0.5
In 2D stress σvM=(σ1^2+σ2^2-σ1*σ2+3*τ^2)^0.5 since σ1,2=0 σvM= τ*3^0.5
Is it now clear ?
The fact that the von Mises factor is in the equation is the basis of the whole concept.
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