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Q9.  A pressure operated valve has a diameter of 200 mm as shown in Fig Q9. A pressure of 55 kN/m² fully opens the valve. The valve opens 50 mm against the loading of concentric springs. Spring ‘A’ has an initial compression of 40 mm. Spring ‘B’ has a stiffness of 11,400 N/m and its free length is 15 mm greater than the free length of the spring ‘A’.

Calculate EACH of the following:

(a) The stiffness of spring ‘A’ (8)

(b) The work done to open the valve. (8)