Question 10.11: A reverse flange is joined to a regular ring-type joint flan...
A reverse flange is joined to a regular ring-type joint flange to form a reducing connection. The total bolt-up moment is controlling and equal to M_{0} =2,613,000. The flange bore B^{\prime}=13.25 in., the outside diameter A=26.5 in., and the flange thickness t =5 in. What is the tangential flange stress at the hub and at the inside bore?
The tangential flange stress S_{T} at the hub is
S_{ T }=\frac{M_{ G }}{B^{\prime} t^{2}}\left[Y_{ r }-\frac{Z}{\lambda}\left(1+\frac{2}{3} t e\right)\right]S_{ T }=\frac{2,613,000}{13.25(25)}\left[1.241-\frac{1.67}{4.14}\left(1+\frac{2}{3} \times 5 \times 0.131\right)\right]
= 5220 psi.
The tangential flange stress S_{ T }^{t} at the flange bore is
S_{ T }^{\prime}=\frac{M_{ G }}{B^{\prime} t^{2}}\left[Y-\frac{2 K^{2}\left(1+\frac{2}{3} t e\right)}{\left(K^{2}-1\right) \lambda}\right]S_{ T }^{\prime}=\frac{2,613,000}{13.25(25)}\left[2.96-\frac{2(4)\left(1+\frac{2}{3} \times 5 \times 0.131\right)}{(3)(4.14)}\right]
= 16,050 psi.
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