1. A drive shaft to the blades of a helicopter transmits 800 kW at 200 rev/min. Neglecting transmission losses; determine the minimum external and internal diameters of the hollow circular section aluminum alloy shaft, when the maximum permissible shear stress in the shaft is limited to 30 MPa. It may be assumed that the external diameter of this shaft is twice its internal diameter. What will be the resulting angle of twist of this shaft over a length of 2 m, given that the modulus of rigidity, C 26900MPA.

1. A drive shaft to the blades of a helicopter transmits 800 kW at 200 rev/min. Neglecting transmission losses; determine the minimum external and internal diameters of the hollow circular section aluminum alloy shaft, when the maximum permissible shear stress in the shaft is limited to 30 MPa. It may be assumed that the external diameter of this shaft is twice its internal diameter. What will be the resulting angle of twist of this shaft over a length of 2 m, given that the modulus of rigidity, C 26900MPA.

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

See similar textbooks

Related questions

Q: A hollow bronze shaft (G=5000ksi) has an outer diameter of 3in and a wall thickness of 0.25in. The…

A: Given data: Converting all data into SI units. Modulus of rigidity G=5000 ksi=34473.8 Mpa Outer…

Q: A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid…

A: According to the given dataWe need to findminimum required diameter for the segments 1 and 2

Q: A hollow steel shaft, 5.2 ft long, has an outer diameter of 3.1 in. and an inner diameter of 1.3 in.…

Q: A solid shaft with a yield strength of 500 MPa subjected to a torque of 60N.m and bending moment of…

A: Step 1: Given data:Yield strength, σy=500MPaTorque, T=60N.mBending moment, M=70N.mStep 2: We need…

Q: The drive shaft of the motor is made of a material having an allowable shear stress of τallow= 72…

Q: The torque of 250 kN.m produces a maximum shear stress of 48 MPa in the 8 m-long hollow steel shaft.…

Q: The torque of 100 kip - ft is applied in the 16-ft-long hollow steel shaft. Note that the inner…

Q: 3. Gear B supplies 20 KW of power, while gears A, Cand D withdraw 6 kW, 4 kW and 10 kW,…

A: Answer: The required minimum diameter of the shaft is 24.5 mm.

Q: Select the size of a hollow steel shaft necessary to transmit 150 hp at 250 rpm without exceeding an…

A: Given data, Power=150hp speed=250 rpm shear stress=4.7ksi angle of twist =0.35°…

Q: a) Find the diameter of both shafts. b) If the modulus of rigidity of shaft (2) G is 77.2 GPa,…

A: for solution refer below images.

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

1. A drive shaft to the blades of a helicopter transmits 800 kW at 200 rev/min. Neglecting
transmission losses; determine the minimum external and internal diameters of the hollow
circular section aluminum alloy shaft, when the maximum permissible shear stress in the shaft is
limited to 30 MPa. It may be assumed that the external diameter of this shaft is twice its internal
diameter. What will be the resulting angle of twist of this shaft over a length of 2 m, given that
the modulus of rigidity, C 26900MPA.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1GM

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A solid 0.64-in.-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the shear stress magnitude in shaft (1). 10 lb-ft 50 lb-ft 70 Ib-ft | (1) 30 lb-ft A (3) B D 3150 psi O 2524 psi 1876 psi O 2331 psi O 2932 psi
A hollow steel shaft, 5.5 ft long, has an outer diameter of 2.76 in. and an inner diameter of 1.48 in. The shaft is transmitting 193 hp at 104 rev/min. Determine the angle of twist of the shaft in degrees. Use G = 12000048 psi for steel. Round off the final answer to two decimal places.
Figure 1 is presented the solid shaft AB rotates at 650 rpm and transmits 30 kW from the motor machine tools connected to gears F and G. Assuming that, 10 kW is taken off at gear F and 20 k taken off at gear G, knowing that allowable torsional shear stress is equal to (65 plus last digit of student ID) MPa. Design the smallest permissible diameter of shaft AB. Figure 1 150 mm 225 mm 905 mm 150 mm 60 mm 100 mm D. 60 mm B.
The torques shown are applied to a 6 mm radius solid shaft with G = 70 GPa. Determine the maximum shear stress in the shaft and the rotation of end gear A with respect to fixed support E 40 Nm 280 Nm 05 m 150 N m 100 m 04 m (a)
A solid circular bronze [G = 6,500 ksi] shaft, 4.6 ft long and 1.575 in. in diameter, carries a torque of 60 lb-ft. For this shaft, determine: (a) the maximum shear stress in the shaft. (b) the magnitude of the angle of twist. Answer: (a) Tmax psi (b) O: Save for Later Attempts: 0 of 1 used Submit Answer
3. A solid circular shaft is 1.8 m and is made of steel with G = 70 GPa. When rotating at w = 70 rad/s, it transmits 28 kW of power from engine A to generator B. As the design engineer, you are asked to: (a) Determine the shaft's smallest allowable radius if the allowable shear stress is T allow = 80 MPa. (b) Determine the shaft's smallest allowable radius If the allowable angle of twist is allow = 0.1 rad (in other words, the shaft is restricted not to twist more than 0.1 rad). (c) If both conditions (a) and (b) are required simultaneously, which radius will you select as the allowable radius. (In other words which condition controls the situation)? Briefly explain your answer. (1 kW = 1000 Watts) B
A shaft drives a gear set that is transmitting 8 hp at 2250 rpm. The diameter of the shaft is 1.75 in. Determine the torsional shear stress developed in the shaft.
A circular-closed-tube shaft, with an outer radius of 20 mm and an inner radius of 15 mm, and 650 mm long, is transmitting 50kW of power while rotating at a frequency of 20HZ. Compute the maximum shear stress (in Pa) and the angle of twist (in degree) for the shaft. The shear modulus G is 100 GPa. Hint: Please refer to the table of K and Q factors in the lecture notes.