Stiffness and Buckling

Assume for the purposes of this project that the calculations indicate that this pipe stiffness of 0.0365 x 106 lb-in2/linear in. is in fact required to meet this deflection-design 

The analysis should include the modulus of soil reaction, because in a buried RTR piping system the elastic medium surrounding the pipe helps increase the pipe s resistance to buckling. The formula into which all these factors can be inserted to determine the critical buckling pressure of the pipe is called the Luscher Hoeg formula (44,56). 

It has been determined that, with burial depths greater than two thirds the radius of the pipe, this equation provides a means of determining the required pipe stiffness for critical buckling. To make the equation easier to use, it can be rewritten by substituting certain values and solving for the required stiffness for buckling. Suppose that this Luscher Hoeg equation says we will require a pipe stiffness of 0.123 x 106 lb-in2/lineal in. to 

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Amos, R. J. (1999). On stiffness and buckling of adhesively bonded rocket motor tubes at high temperature. Extended Abstracts to Adhesion 99, lOM Communications, pp. 129-134. 

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