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How can we determine the maximum shear stress in the shaft?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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.

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8.12 (A/B). A circular bar 4 m long with an external radius of 25 mm is solid over half its length and bored to an internal radius of 12 mm over the other half. If a torque of 120 Nm is applied at the centre of the shaft, the two ends being fixed, determine the maximum shear stress set up in the surface of the shaft and the work done by the torque in producing this stress. [2.51 MN/m2; 0.151 Nm.]
! Required information The design of a machine element calls for a 40-mm-outer-diameter shaft to transmit 41 kW. If the speed of rotation is 730 rpm, determine (a) the maximum shear stress in shaft (a). (b) the maximum shear stress in shaft (b) with inner diameter 26 mm. (a) 40 mm (b) The angular velocity of the shaft is (rad/s)
How is it possible to investigate certain critical sections along the shaft where the combination of a resultant moment and torque creates a critical stress situation?
The 54-mm-diameter solid shaft is subjected to the distributed and concentrated torsional loadings A) Specify the location of the absolute minimum shear stress on the outer surface of the shaft, measured from the fixed end A. Express your answer to three significant figures and include the appropriate units. B) Specify the location of the absolute maximum shear stress on the outer surface of the shaft, measured from the fixed end A. Express your answer to three significant figures and include the appropriate units.
Situation 2| A flanged bolt coupling, consists of 20mmø rivets arranged, is used to transfer the Torque "T" from a solid shaft 80mm in diameter to a 180mm square hollow tubular pipe with unknown thickness "t". 3) Determine the maximum applied torque T without exceeding a maximum shearing stress of 50MPA for circular shaft, and 60MPA for the rivets. Gshan=83 GPa. 4) Determine the minimum thickness “t" of the tubular pipe with a maximum 5) Assuming point B is fixed, and the shaft A-B is 300mm long, determine the angle of twist developed at A relative to B. shearing stress of 70 MPa. B 180 R10 R125. R80 08
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Ex: A steel marine propeller shaft 14 in. in diameter and 18 ft long is used to transmit 5000 hp at 189 rpm. If G = 12 × 106 psi, determine the maximum shearing stress.
A conveyor belt is driven by a 8-hp motor turning at 2,500 rpm. Through a series of gears that reduce the speed, the motor drives the belt drum shaft at a speed of 18 rpm. If the allowable shear stress is 6.2 ksi and both shafts are solid, calculate (a) the required diameter of the motor shaft.(b) the required diameter of the belt drum shaft.
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14. A steel shaft is subjected to completely reversed bending moment of 800 N-m and a cyclic twisting moment of 500 N-m which varies over a range oft 40%. Determine the diameter of shaft if a reduction factor of 1.2 is applied to the variable component of bending stress and shearing stress. Assume (a) that the maximum bending and shearing stresses are in phase; (6) that the tensile yield point is the limiting stress for steady state component; (c) that the maximum shear strength theory can be applied; and (d) that the Goodman relation is valid. Take the following material properties: Yield strength = 500 MPa ; Ultimate strength = 800 MPa ; Endurance limit = ± 400 MPa. [Ans. 40 mm]
3. A machine shaft is supported on bearings 1 m apart is to transmit 190 KW at 300 rpm while subjected to a bending load of 500 kg at the center. If the maximum shearing stress is 40 MPa, determine the shaft diameter. a. 85.4 mm b. 92.3 mm c. 102.3 mm d. 112.5 mm 200 whil livering 5000 W