Question

a special vessel of 1.7 m diameter is made from 12 mm thick plate and it is to be subjected ta a hydraulic test determine the additional volume of water which necessary to pump into the vessel is initially just filled with water in order to raise the pressure to the proof pressure of 116 bar the bulk modulus of water is 2.9 GN/m2 for the material of vessel E=200 GN/m2 and v= 0.3

Answer 1

water pressure Assumes - Initially, before filling the excess equal to atmosphesic the Vessel 18 inside pressure. hirengo so increase - 116 bar o.olsufa 1 in pressure (@p) = proof pressime modulus of Electricity of cylinder (E)= 200 Ust, - 0.3 SUSO leto Bulk modulus of water (K) = 2.9 , Diameter of cylinder & = 1.7m thickness of " (t) = 12mm Additional volume of wate= (AV) original volume(V)=(542) & unfortantly value of Additional mul of water on a compression in watexar) +expansion of length ce) is not given) at Cylinder (0) > @V) AP XV. e 00 Solo - ot 0 0 K= AP A₂ = (4P. D 4TE 4070)-(5-40) Vo from AP K 11 Grior (U P7). 99/8) - 4x10" 250 from- Vo AV₂ X AV₂ (116+104 ) x 1.7 [5-4+0.3 4+ (12x10²) x 200 = 7.8058x10² putting there is equation - AV v. (4+10 3 + 7. 8058103 SV = (–1 x ² 1) [11.8058 +103 Av = (267968#rome) mo) m3 To get Brant answer the uiven NOTE:- (value of lengthe must be