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I have several questions regarding the deflection of a free-standing pipe wherein Force is applied on top.

Appreciate any feedback that I can get.

Supposing I have the following Pipe Specifications:

OD: 7in

ID: 6in

Yield Strength: 80,000psi

Modulus of Elasticity: 30000000psi

Poisson’s Ratio: 0.3

Here are my questions:

1. How do we calculate the maximum height that the above mentioned size of pipe will freely stand (without any support or braces)?

2. Assuming that the above mentioned pipe has a length of 15feet and for the sake of argument can be placed vertically without any support (free-standing) but fixed at the bottom end. If we apply 10,000lbs of Force at the top end, how do we calculate the:

A. Amount of maximum deflection relative to the center line of the pipe

B. Location of the maximum deflection – Is this going to be halfway through the length of the pipe (@7.5feet)?

3. Supposing the above mentioned pipe 7in OD, 6in ID is placed concentrically inside another pipe. Let’s assume that the ID of the outer pipe is 8in (and assuming that the outer pipe is fully rigid). And supposing that on the 7in OD inner pipe, 20,000lbs of Force is applied on top of it. For the sake of argument let’ say that the deflection caused by the 20,000lbs of Force applied will exceed the annular clearance between the OD of the Inner Pipe and Outer Pipe. How do we then calculate the amount of Force effectively transferred by the inner pipe onto the fully rigid outer pipe?

Thanks,

Soji

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# Formulas to Calculate deflection/bending of Free-Standing Pipe

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