Chapter 8_Buckling_Part 2

# Chapter 8_Buckling_Part 2 - Pressurized Cylindrical Shells...

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Pressurized Cylindrical Shells under Compression Internal pressure stiffens cylindrical shells. For short cylindrical shells under compression, buckling stress can be expressed as , c R tp Ef tR E σ ⎛⎞ = ⎜⎟ ⎝⎠ or , c N f ER R E = ( 1 ) where c : buckling stress cc Nt = t : shell thickness R : radius p : internal pressure E : young’s modulus The attached chart represents empirical results corresponding to equation (1). This chart can be used to estimate the buckling loads of launch vehicle propulsion systems such as solid rocket motor cases, liquid propellant tanks (pressure-fed or pump-fed).

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Example : Consider a pressure-fed liquid-propellant tank subjected to an axial load in flight. The tank is cylindrical with length 400 Li n = and diameter 120 Di n = . The tank material is aluminum with ultimate tensile strength 66,000 Tu Fp s i = and 7 1.07 10 Ep s i . Tank pressure is 150 p psi = . The maximum axial compressive load (ultimate) is given as 6 1.05 10 lbs × .

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## This document was uploaded on 04/27/2011.

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Chapter 8_Buckling_Part 2 - Pressurized Cylindrical Shells...

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