7. A stepped shaft ABC consisting of two solid circular segments is subjected to torques Tị and T; acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of di = 58 mm and length Li = 760 mm; the smaller segment has a diameter of dz = 45 mm and length of L2 = 510 mm. The material is steel with shear modulus G = 76 GPa, and the torques are T1 = 2300 N m and T3 = 900 N m. (a) Calculate the maximum shear stress rmax in the shaft and the angle of twist o. (in degrees) at end C.

7. A stepped shaft ABC consisting of two solid circular segments is subjected to torques Tị and T; acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of di = 58 mm and length Li = 760 mm; the smaller segment has a diameter of dz = 45 mm and length of L2 = 510 mm. The material is steel with shear modulus G = 76 GPa, and the torques are T1 = 2300 N m and T3 = 900 N m. (a) Calculate the maximum shear stress rmax in the shaft and the angle of twist o. (in degrees) at end C.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Problem 1.1MA

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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

7. A stepped shaft ABC consisting of two solid circular segments is subjected to torques
Ti and T2 acting in opposite directions, as shown in the figure. The larger segment of
the shaft has a diameter of di = 58 mm and length Li = 760 mm; the smaller segment
has a diameter of d2 = 45 mm and length of L2 = 510 mm. The material is steel with
shear modulus G = 76 GPa, and the torques are T1 = 2300 N m and T2 = 900 N m.
(a) Calculate the maximum shear stress r max in the shaft and the angle of twist o.
(in degrees) at end C.
(b) If the maximum shear stress in BC must be the same as that in AB,what is the
required diameter of segment BC? What is the resulting twist at end C?
Ans :[ T max = 50.3MPA , g. = 0.14°]
T
T

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