THERMAL STRESS AND BOWING OF A TUBE SUBJECTED TO A TEMPERATURE DISTRIBUTION INDEPENDENT OF TUBE LENGTH
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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The theorem of least work was used to investigate the stress pattern and bowing, i.e. uniform curvature, of an initially straight thin tube subjected to a steady temperature distribution independent of the longitudinal coordinate of the tube. Simple equations were developed for stress, strain, and bowing. They show that if the thermal strain is expressed as a Fourier series, the tangential stress is small and is a function of the first harmonic only, the axial stress is a function only of the second and higher harmonics, and the bowing is a function only of the first harmonic.