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In the above set of equations, it can be shown that , due to moment balance!  Furthermore, we begin by making valid assumptions with regards to our problem of interest.  First, we assume that there is no body force ( ) anywhere in our model.  In addition, we model our problem as a plane stress problem, which means that all of the out-of-plane stress components involving -direction, can be assumed to equal zero (σ-_θ = τ-_θr = τ-_θz = 0).  These assumptions lead to the following simplifications:

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