A cylinder of internal diameter 2.5 m and of thickness 5cm contains a gas. If the tensile stress in the material is not to exceed 80 N/mm², determine the internal pressure of the gas.
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- One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.A gas is contained in a vertical, frictionless piston– cylinder device. The piston has a mass of 5 kg and a cross-sectional area of 35 cm2. A compressed spring above the piston exerts a force of 75 N on the piston. If the atmospheric pressure is 95 kPa, determine the pressure inside the cylinde
- The unpressurized cylindrical storage tank shown has a 3/16-in. wall thickness and is made of steel having a 60-ksi ultimate strength in ten-sion. Determine the maximum height h to which it can be filled with water if a factor of safety of 4.0 is desired. (Specific weight of water 562.4 lb/ft3.)Two hemispherical shells of inner diameter 1m are joined together with 12 equally spaced bolts. If the interior pressure is raised to 300kPa above atmospheric pressure, determine the tensile force in each bolt.The 500-kg load on the hydraulic lift shown is to be raised by pouring oil (? = 780 kg/m3) into a thin tube. Determine how high h should be in order to begin to raise the weight.
- An upright cylindrical tank 15 m in diameter and 13 m high is completely filled with water determine the minimum thickness of the tank plating if the stress is limited to 40 Mpa.The spherical tank as shown is made of steel. The tank has a radius 20 ft and wall thickness of 1 inch. If the allowable stress of the steel is 9000 psi, determine the maximum safe pressure for the tankThe spherical gas tank is fabricated by bolting together two hemispherical thin shells. If the 510 cm inner diameter tank is to be designed to withstand a gauge pressure of 2802 kPa, determine the minimum number of 28-mm diameter bolts that must be used to seal it. The tank and the bolts are made from material having an allowable normal stress of 130 GPa and 323 MPa,respectively.
- Show the derivation of the girth and longitudinalstresses of the thin-walled cylindrical container shownbelow. Say p is the internal pressure, d is the insidediameter of the container, and t is wall thickness.The round handle of a faucet is affixed to a shaft that lets a valve to be open and closed every time the round handle is rotated. Give the radius of the handle if the shaft has a diameter of 1 cm and the MA of the machine is 8.Show the derivation of the girth and longitudinalstresses of the thin-walled cylindrical container shownbelow. Say p is the internal pressure, d is the insidediameter of the container, and t is wall thickness. Seefigure 103.