To determine the angle of twist for a circular shaft that is composed of varying cross...
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To determine the angle of twist for a circular shaft that is composed of varying cross sections and that is subjected to a given power and frequency load. As shown, a shaft is composed of five cylindrical sections. A motor is attached at F and supplies the shaft with P = 175.0 kW at a speed of w = 160 rad/s. This power is transferred through the shaft without any loss and is completely removed by the pulley at A. Let a = 0.170 m, b = 0.270 m, c = 0.350 m, d = 0.100 m, d2 = 0.140 m, and d3 = 0.175 m. Assume that the modulus of rigidity for the entire shaft is G = 75.8 109 Pa and that the sections of the shaft are fastened in such a way that they cannot fail. Also, assume that the shaft is rigidly supported along its length such that it is always in static equilibrium. d b B d E D dz d To become familiar with and apply the concepts of maximum sustainable torque and power to solid and hollow circular shafts. A solid circular shaft and a tubular shaft, both with the same outer radius of c = co = 0.550 m, are being considered for a particular design. The tubular shaft has an inner radius of c = 0.300 m The shafts are to be powered by a motor operating at a frequency of f = 2.10 Hz and are to handle an attached load. Assume the cross sections are uniform throughout the lengths of the shafts and that the materials have an allowable shear stress of Tallow = 94.0 MPa. . To calculate torsional deformation and shear stress due to an applied force in a door handle design. A locked door handle is composed of a solid circular shaft AB with a diameter of 6 = 120 mm and a flat plate BC with a force P = 62 N applied at point C as shown. Let c = 566 mm, d = 126 mm, and e = 152 mm. (Treat the handle as if it were a cantilever beam.) x B Z A m To determine the angle of twist for a circular shaft that is composed of varying cross sections and that is subjected to a given power and frequency load. As shown, a shaft is composed of five cylindrical sections. A motor is attached at F and supplies the shaft with P = 175.0 kW at a speed of w = 160 rad/s. This power is transferred through the shaft without any loss and is completely removed by the pulley at A. Let a = 0.170 m, b = 0.270 m, c = 0.350 m, d = 0.100 m, d2 = 0.140 m, and d3 = 0.175 m. Assume that the modulus of rigidity for the entire shaft is G = 75.8 109 Pa and that the sections of the shaft are fastened in such a way that they cannot fail. Also, assume that the shaft is rigidly supported along its length such that it is always in static equilibrium. d b B d E D dz d To become familiar with and apply the concepts of maximum sustainable torque and power to solid and hollow circular shafts. A solid circular shaft and a tubular shaft, both with the same outer radius of c = co = 0.550 m, are being considered for a particular design. The tubular shaft has an inner radius of c = 0.300 m The shafts are to be powered by a motor operating at a frequency of f = 2.10 Hz and are to handle an attached load. Assume the cross sections are uniform throughout the lengths of the shafts and that the materials have an allowable shear stress of Tallow = 94.0 MPa. . To calculate torsional deformation and shear stress due to an applied force in a door handle design. A locked door handle is composed of a solid circular shaft AB with a diameter of 6 = 120 mm and a flat plate BC with a force P = 62 N applied at point C as shown. Let c = 566 mm, d = 126 mm, and e = 152 mm. (Treat the handle as if it were a cantilever beam.) x B Z A m
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