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 kNm 2-5 kNm Figure 3(a) Calculate the following: i, The polar second moment of area, J 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). ii. The second moment of area I about a diametric axis (i.e., an axis across a diameter of the cross-section). ii.

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 kNm 2-5 kNm Figure 3(a) Calculate the following: i, The polar second moment of area, J 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). ii. The second moment of area I about a diametric axis (i.e., an axis across a diameter of the cross-section). ii.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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 kNm
2-5 kNm
Figure 3(a)
Calculate the following:
i, The polar second moment of area, J
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).
ii.
The second moment of area I about a diametric axis (i.e., an axis across a
diameter of the cross-section).
ii.

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