MAAE 2202 Lecture Notes - Lecture 3: Statically Indeterminate, Centrifugal Force, Cylinder Stress

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A statically determinate system is one that can be solved by force equilibrium only, that is, the number of unknowns in the system, e. g. , reactions and internal forces, equals the number of equations available from force equilibrium. A stepped cylinder carries axial loads, as shown in the figure below. The diameters of bar b and bar c are 25 mm and 50 mm, respectively. 3. 2. 2 typical thin-walled structures: thin-walled pressurized sphere. In this structure, stress can be assumed to be uniform through the wall thickness. Radial stress r is assumed to be zero. p is internal pressure. t p p. For force equilibrium, (everywhere in the wall, in each direction) t << r, typically t < 0. 1 r. 2r t << r, typically t < 0. 1 r: close-ended thin-walled pressurized cylinder. In this structure, hoop stress and axial stress l are assumed to be uniform through the wall thickness.

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