A safety valve on the top of a tank containing steam under pressure p has a discharge

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A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d (see figure). The valve is designed to release the steam when the pressure reaches the value pmax.
If the natural length of the spring is L and its stiffness is k, what should be the dimension h of the valve? (Express your result as a formula for h.)
A safety valve on the top of a tank containing
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Mechanics of Materials

ISBN: 978-0495438076

7th edition

Authors: James M. Gere, Barry J. Goodno

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