A pipe with OD of 60cm and thickness of 10cm is carrying a pressurized fluid. The pipe's material is ductile and has a Yield strength of 250MPa. Assuming axial stresses are half of hoop stresses at any point, determine the maximum allowable operating pressure (MAOP) using a FOS of 1.67 under Max Distortion Energy criteria in the pipe?
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- A scuba t a n k (see fig ure) i s bci ng d e signed fo r an internal pressure of 2640 psi with a factor of safety of 2,0 with respect to yielding. The yield stress of the steel is 65,000 psi in tension and 32,000 psi in shear, (a) If the diameter of the tank is 7,0 in., what is the minimum required wall thickness? (b) If the wall thickness is 0.25 in., what is the maximum acceptable internal pressure?A standpipe in a water-supply system (see figure) is 12 ft in diameter and 6 in. thick. Two horizontal pipes carry water out of the standpipe; each is 2 ft in diameter and 1 in. thick. When the system is shut down and water fills the pipes but is not moving, the hoop stress at the bottom of the standpipe is 130 psi, (a) What is the height h of the water in the standpipe? (b) If the bottoms of the pipes are at the same elevation as the bottom of the stand pipe. what is the hoop stress in the pipes?A steel pipe having a diameter of 15 cm and a wall thickness of 9.50 mm has an allowable stress of 140,000 kPa. What is the maximum allowable internal pressure in the pipe?
- Q2. A mild steel shaft transmits ‘P’ kW at ‘N’ r.p.m. It carries a central load of 900 N and is simply supported between the bearings 2.5 metres apart. Determine the size of the shaft, if the allowable shear stress is 42 MPa and the maximum tensile or compressive stress is not to exceed 56 MPa. Power P in KW= 25 , Speed N in rpm=150A 14 cm x 18 cm air compressor has 6 bolts on cylinder head with yield stress of 450 MPa. If the bolt stress area is 0.14 in2, calculate the maximum pressure inside the cylinder.Problem :Pressure vessel made of alloy steel with Yield Strength of 250 MPa, Pressure acting on Pressure Vessel = 10 Atmosphere. Longitudinal Stress (σL) = 200 MPa. Hoop Stress (σθ) = 150 MPa. Radial Stress (σR) = -50. Question :a) How thick is the pressure vessel if the Inner Diameter is D = 2 Meters? b) Check whether the pressure vessel is safe or not? c) Calculate the maximum shear stress with Mohr's circle? d) Check whether the pressure vessel is safe or not with Tresca yield criterion and compare it with von Mises yield criterion?
- The internal loadings at a critical section along the steel drive shaft of a ship are calculated to be a torque of 2300 lb # ft, a bending moment of 1500 lb # ft, and an axial thrust of 2500 lb. If the yield points for tension and shear are sY = 100 ksi and tY = 50 ksi, respectively, determine the required diameter ofthe shaft using the maximum shear stress theory.The shaft and the flange of a marine engine are to be designed for flange coupling, in which the flange is forged on the end of the shaft. The following particulars are to be considered in the design: Power of the engine=2.4 MW Speed of the engine 80 r.p.m Permissible shear stress in bolts and shaft = 60 MPa Number of bolts used =6 Pitch circle diameter of bolts=1.6* Dimeter of shaft Find 1.diameter of shaft; 2.diameter of bolts; 3.thickness of flange; and 4.diameter of flange. (25 degreaA typical stainless steel cylindrical vessel is shown. The inside diameter of the tank is 48.0 in. and the wall thickness is 0.75 in. The tank is pressurized to 1.40 ksi. Determine the absolute maximum shear stress on the inner surface of the cylinder wall.
- A cap plate at the bottom of the brace distributes the load P = 660 kN to four flange plates (thickness, tf = 22.5 mm each) through a pin (diameter, dp = 55 mm) to two gusset plates (thickness, tg = 34 mm).[FS = 1.5 , σu = 250 MPa, τu = 400 MPa] Determine the shear stress in the pin? The answer in MPa Determine the bearing stresses in the gusset plates? In MPa Determine the bearing stresses in the flange plates? In MPa Determine the maximum allowable load P that can be applied to this connection if the required factor of safety is FS and theultimate normal and shear stresses in the plates are llimited toσu and τu, respectively?The material of a certain transmission shaft uses AISI 1030 HR, its yield strength is 260 MPa, the transmission torque of this shaft is 160 N·m, and it is subjected to a uniform axial tension of 0.5 kN. Please calculate according to the Distortion energy theory. The minimum shaft diameter with a safety factor n of 2.5 (to 2 decimal places).Q2. A mild steel shaft transmits 21 kW at 250 r.p.m. It carries a central load of 900 N and is simply supported between the bearings 2.5 metres apart. Determine the size of the shaft, if the allowable shear stress is 42 MPa and the maximum tensile or compressive stress is not to exceed 56 MPa.