고체역학 (Gere) — Axially Loaded Members: Problem 2.2-9

2.2-9 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 \(p_{max}\). 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 \(h\).)