A gas is stored in a cylindrical tank of inner radius 7 m and wall thickness 50 mm. The gage pressure of the gas is 2 MPa. The maximum shear stress (in MPa) in the wall is
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Given,
Radius of cylinder = R = 7 m = 7000 mm
Wall thickness = t = 50 mm
Gage pressure of the gas = Pg = 2 MPa
For the given cylinder dimensions,
As , this is a thin clyinder.
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- 1. A thin-walled cylinder with a diameter of 20 cm and a wall thickness of 2 mm is filled with gas at a pressure of 2 MPa. Calculate the longitudinal stress, and circumferential stress in the cylinder wall.Pressure inside the cylinder is 10 bars Is this a thin walled cylinder when the thickness is 10 mm. Estimate theoretically the hoop andlongitudinal stressesA 1.5-m-diameter cylindrical tank is formed of 6-mm-thick sheet steel (E = 200 Gpa, ν = 0.3). The maximum shear strain occurring in this tank when the contents pressure is 1 MPa, is:
- The cylindrical steel tank shown is 3.5m in diameter 5m high and filled with brine solution. Brine has a density of 1198kg/m3. The thickness of the steel shell is 12.5mm. Calculate the tangential stress and the longitudinal stress in the tank, MPaA cylindrical tank with closed ends is filled with compressed air at a pressure of 500 kPa. The inner radius of the tank is 2 m and it has wall thickness of 10 mm. The magnitude of maximum in-plane shear stress (in MPa) is_______.mechanics of deformable bodies The cylindrical tank has an outer radius of 1.5m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal stress.
- a) A cylinder with a 0.30-m inner diameter and a 0.40-mouter diameter is internally pressurized to 100 MPa. Determinethe maximum shear stress at the outer surfaceof the cylinder. b) A thin-walled cylinder containing pressurized gas isfixed by its two ends between rigid walls. Obtain anexpression for the wall reactions in terms of cylinderlength l, thickness th, radius r, and internal pressure pi.5. In the CN Railwayproject,steel railroad rails of 9.5meters long are to be installed.If the modulus of elasticity of steel is207GPa, and if the lowest temperature considered is 18°C and a maximum temperature of 36°C is designed for, determine the clearance between the rails such that adjoining will just touch at maximum design temperature. Assume α for steel is 11.6 x 10-6/°CA drill string is composed of 5,100 ft of 4½-in. drill pipe with a unit weight of 18 lbf/ft, 300 ft of 4½-in. heavyweight drill pipe with a unit weight of 41 lbf/ft of cross section 6.4023 in2, and 660 ft of 6¼-in. drill collars with a unit weight of 91 lbf/ft. If the drilling-fluid S.G 1,4 and assuming that the WOB is 34,000 lbf. Calculate the axial stress at the top of the hole and at the cross section located 2,000 ft from the top of the hole. Need Solution through 15min
- A closed cylindrical tank containing a pressurized fluid has an inside diameter of 328 mm and a wall thickness of 10 mm. The tank is pressurized to 2.40 MPa. Determine the absolute maximum shear stress on the outer surface of the cylinder wall.A wood-stave penstock of 1.8 m diameter is wrapped with steel hoops and subjected to a fluid pressure of 380 KPa. If the allowable tension in the hoop is 42.4 kN, what is the maximum hoop spacing?Question 3 - Strain Energy A brass tube with an outside diameter of 20 mm and 4 mm wall thickness is 80 mm long.It is joined to the end of a solid brass rod with a diameter of 20 mm and 120 mm long toform a compound assembly. This assembly is subjected to tension due to a mass of 150kg moving at a speed of 0.4 m/s.3.1. Determine the stresses induced in the rod and the tube respectively.3.2. Determine the change in length of each part, as well as the total change in length ofthe assembly.3.3 Determine the equivalent impact load (in kg) required to have the same effect(produce the same amount of energy) if falls freely from a height of 10 cm onto acollar attached to the bottom of the assembly if the assembly is vertically attachedat its top.3.4 How much strain energy is absorbed by each section of the assembly?(For brass: E = 100 GPa and α = 18×10-6/ 0C)