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Axial and Bending Stress
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Axial stress
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Bending stress
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Axial + bending stress
The stress evaluation is done as follows:
1) From the results of the different analyses, the time series of axial true tension and bending moments are calculated:
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true tension : \(T\)
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bending moments : \(M_1\), \(M_2\)
2) For a given abscissa on the riser, the stresses are calculated at eight points on the beam section:
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\(\sigma_{axial}=\frac{T}{A_{steel}}\)
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\(\sigma_{bending}=\frac{d}{2I}(-M_2\cos{\theta}+M_1\sin{\theta})\)
with:
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\(d\) : inner or outer diameter;
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If a corrosion allowance \(corr_{allow}\) is defined, the corresponding inner diameter is changed as follows : $$ d_{int}=d_{int}+2\cdot corr_{allow} $$
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\(A_{steel}\) : steel area, the corrosion allowance taken into account;
- \(I\) : inertia momentum, the corrosion allowance taken into account.
