H.W3 A homogeneous 800 kg bar AB is supported at either end by a cable as shown in Fig. Calculate the smallest area of each cable if the stress is not to exceed 90 MPa in bronze and 120 MPa in steel. Bronze L = 4 m = br Ans Apr 43.6mm² A 10 m B Ast = 32.7mm² Steel L = 3m
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- draw and label the free body diagramThank you!! Calculate the maximum tensile stress in a plate subjected to a remote loading of P. The plate has a central hole as shown below. The stress concentration at the hole is 2.5 based on the remote average stress. The Plate thickness is 1cm, plate width 20 cm and the total load P is 25 kN. Identify the location of the maximum stress at BA thin steel cylinder 1.3 m long is subjected to internal pressure, the change in volume owing to the pressure is 17.5 x 10 m³ of the original volume 65.5 x 103 m³. De termine the internal diameter, hoop, and longitudinal stresses. For the cylinder material E = 210 GIN/m², v = 0.3. de 253 What will be the bulk modulus K, if the internal pressure is 14 bar and the extra fluid is 6 * 10 m³ at the same diameter, thickness, and original volume of part (a).
- Calculate the combined stress (MPa) on the rod shown below using principle stress method.Here, F1 = 0.35 kN, F2 = 0.12 kN, T = 428000 N-mm. Length and diameter of the rod are 75cm and 75 mm, respectively.Example: A cylinder has an internal diameter of 230 mm, has walls 5 mm thick and is 1 m long. It is found to change in internal volume by 12.0 x m' when filled with a liquid at a pressure p. If E = 200GN/m2 and y= p.25, and assuming rigid end plates, determine: (a) the values of hoop and longitudinal stresses; (c) the necessary change in pressure p to produce a further increase in internal volume of (longitudinal) are assumed; 15 %. The liquid may be assumed incompressible.solve me for all
- The inner diameter of a cylindrical pressure vessel is 400 mm. When subject to pressure, the hoop stress in the cylinder wall is 40 MPa. For the material of construction E = 200 GPa and Poisson's ratio = 0.3. The %3D increase in inner diameter is, O a. 0.016 mm b. 0.08 mm O c. 0.068 mm O d. 0.04 mmA piston-cylinder has a force F₁ applied to it. The circumferential stress in the cylinder cannot exceed Omax = 6 MPa. Hint: 1. Pressure = F Area P = F₁ F₁- OG Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value T'inner 44 mm t 1.25 mm r1 a. Determine the max pressure that the piston-cylinder can withstand, P. b. Determine the magnitude of max force that can be exerted on the piston to not exceed omax, F1. kPa N1. An underwater vehicle that can be approximated as a sphere of radius r = 0.8 m is to operate at depth h=1000 m. It is constructed by joining two hemispheres with 40 equally spaced bolts, Figure Q1. The allowable stress for the bolts is 100 MPa. The sphere is filled with air at pressure p = 600 kPa. If the material of the sphere is steel with yield stress gx=600 MPa, and the factor of safety is n = 2.5 with respect to yielding, calculate the bolt diameter d and the required thickness of the sphere t. Assumptions: (a) The sphere may be treated as a thin-walled pressure vessel. (b) The sea water density p= 1000 kg/m³. (c) Buckling of the vessel will not occur. Spherical Vessel Bolts used to fix two hemispheres to each other 0.8 m Figure Q1
- The closed thin-walled tank has an inner radius of r and wall thickness t and contains a gas of pressure of p. The state of stress at point "a" on the surface of the tank is represented by stress components with an unknown stress element rotation angle of 0. Note that, the two normal stress components for x'y' system (note: not xy system!) are known: ox, = 120 MPa and Oy = 180 MPa, but the shear stress component (T,) is unknown. Determine: (1) the principal stresses at point a ; (2) Tx'yı ; (3) rotation angle of 0 . y 180 MPa 120 MPа х 0 = ? a Tyy = ? tank cross section stress state at point a2.) A cylinder filled with oil is under pressure from a piston, as shown in the figure. The diameter d of the piston is 1.91 in. and the compressive force F is 3600 lb. The maximum allowable shear stress Tallow in the wall of the cylinder is 6000 psi. What is the minimum permissible thickness tmin of the cylinder wall? Use thin-wall cylinder theory. Cylinder F PistonA 12 mm thick steel tire has a width of 110 mm has an internal diameter of 800 mm. Tire is heated and shrunk to a steel wheel 800.5 mm in diameter. E=200 MPa. Find the tensile stress in the tire. Look for the compressive pressure between the tire and wheel.