If the exact location of the centroid cannot be determined by inspection, it can be calculated by: If the area is symmetric about only one axis, then the centroid lies somewhere along that axis (the other coordinate will need to be calculated). If the area is doubly symmetric about two orthogonal axes, the centroid lies at the intersection of those axes. The centroid of a shape represents the point about which the area of the section is evenly distributed. Structural Calculators Properties of Areas Centroid.Problem 5: Suggest one improvement to this chapter. Also determine the angle of twist if the shaft length is 3.4 m. Taking G steel = 85 GPa and G brass = 37 GPa, determine the maximum shear stress in the shaft and liner if the transmitted torque is 240 kN×m. Problem 4: A brass liner, 24 mm thick, is shrunk over a solid shaft of 220 mm diameter. Determine the inside diameter of the hollow shafts, which results in the same shear stress in both, shafts and bolts. The outside diameter of the shafts is 240 mm and the coupling has 6 bolts of 72 mm each on a bolt circle of 480 mm. Problem 3: Two identical hollow shafts are connected by a flanged coupling. (a) the maximum shear stress in the shaft If the shaft shear modulus is 85 GPa determine: The shafts, 180 mm diameter and 2 m long, are connected through a flanged coupling with 6 coupling bolts of 40 mm diameter arranged on a pitch circle of 340 mm. Problem 2: A turbine – generator transmission is rated for 3500 kW at 160 RPM. (b) the weight savings in percentage, assuming that the steel densities of both shafts are identical
(a) the bore diameter of the hollow shaft in terms of outside diameter In order to keep the existing bearings, the new shaft will have the same outside diameter as the existing, solid shaft. Problem 1: To improve an engine transmission, a solid shaft will be replaced with a hollow shaft of better quality steel resulting in an increase in the allowable stress of 24%. Solve the following problems using the General Torsion Equation.
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