(a) The tubular rotor shaft of a wind turbine shown in Figure 3(a) is of 50 mm and 40 mm outer and inner diameters respectively, and it is expected to be subjected to the following extreme loading conditions which act simultaneously: A torque of 2.5KNM about the axis. • A bending moment of 3.6kNm acting on the vertical plane containing the shaft axis. 3.6 ENm Figure 3(a) Calculate the following: i. The polar second moment of area, J i. The shear stress at point A on the outer surface of the shaft (where the vertical plane containing the shaft axis intersects the outer periphery of the shaft). i. The second moment of area / about a diametric axis (i.e., an axis across a diameter of the cross-section). iv. The bending stress at point A. (b) The spherical LPG storage tank shown in Figure 3(b) has the following design specifications: Tank diameter of 22 m, shell plate thickness of 24 mm, yield stress of steel plates 550 MPa, a factor of safety of 2. Calculate the design pressure, i.e., the maximum safe operating pressure, if the tank is designed simply on the basis of maximum allowable stress.

(a) The tubular rotor shaft of a wind turbine shown in Figure 3(a) is of 50 mm and 40 mm outer and inner diameters respectively, and it is expected to be subjected to the following extreme loading conditions which act simultaneously: A torque of 2.5KNM about the axis. • A bending moment of 3.6kNm acting on the vertical plane containing the shaft axis. 3.6 ENm Figure 3(a) Calculate the following: i. The polar second moment of area, J i. The shear stress at point A on the outer surface of the shaft (where the vertical plane containing the shaft axis intersects the outer periphery of the shaft). i. The second moment of area / about a diametric axis (i.e., an axis across a diameter of the cross-section). iv. The bending stress at point A. (b) The spherical LPG storage tank shown in Figure 3(b) has the following design specifications: Tank diameter of 22 m, shell plate thickness of 24 mm, yield stress of steel plates 550 MPa, a factor of safety of 2. Calculate the design pressure, i.e., the maximum safe operating pressure, if the tank is designed simply on the basis of maximum allowable stress.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.3.15P: A hollow steel shaft used in a construction auger has an outer diameter d2= 6.0 in. and inner...

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