Determine the enhance in volume of the vessel, Mechanical Engineering

Determine the enhance in volume of the vessel:

A thin spherical vessel of diameter 800 mm and thickness 6 mm is filled through a liquid at an internal pressure of 1.5 N/mm2. Determine the enhance in volume of the vessel, taking E = 2 × 105 N/mm2 and v = 0.3.

Solution

Diameter of the vessel, d = 800 mm.

Thickness, t = 6 mm.

Internal pressure, p = 1.5 N/mm2.

 ∴ Hoop stress, σh  = pd /4t = 1.5 × 800 / (4 × 6 )= 50 N/mm2

∴ Hoop strain, ε  = (σh /E)(1 - v) =(50/2 × 105) (1 - 0.3) = 1.75 × 10- 4

∴ Volumetric strain, εv = 3 × εh

= 3 × (1.75 × 10- 4 ) = 5.25 × 10- 4

∴ Original volume, V = π d 3 / 6

= π× 8003 /6= 2.6808 × 108  mm3

∴ Increase in volume, δV = εv × V

= 5.25 × 10- 4  × 2.6808 × 108  = 140743 mm3

Posted Date: 1/21/2013 2:07:42 AM | Location : United States







Related Discussions:- Determine the enhance in volume of the vessel, Assignment Help, Ask Question on Determine the enhance in volume of the vessel, Get Answer, Expert's Help, Determine the enhance in volume of the vessel Discussions

Write discussion on Determine the enhance in volume of the vessel
Your posts are moderated
Related Questions
Figure : Left Side View of a Motorcycle Part No. Name Functions 1 Fuel cock Used to open or close the

Find speed for two hours with HSS tools Find speed for two hours tool life for dry machining of free cutting mild steel with HSS tool. Solution From Table 3, a value o

Explain Gauge Pressure (P gauge ) Gauge Pressure is the pressure of a fluid contained in a closed vessel. It is all time more than atmospheric pressure. It is calculated by an


Airport Layout: The main components of an airport are: (a)        Runways (b)       Taxiways (c)        Apron (d)       Terminal area (i)        Terminal build

Vitrification This is liquid phase sintering. It is achieved via incorporating a component that melts to viscous liquid during sintering. Such viscous liquid solidifies in gla


Resulting structure of steel: Heat treatments as mentioned below are given to thin steel strips for which TTT diagram is as shown in Figure 19. What will be the resulting stru


Steps for F-test The Steps followed in the F-Test are as follows: (A) State the hypothesis: Ho: Relationship between Y and all Xs is not significant. HA: Relationship bet