A hollow shaft is to transmit 300 kW at 80 r.p.m. If the shear stress is not to exceed 60 MN/mm² and internal diameter is 0.6 of the external diameter, find the external and internal diameters assuming that the maximum torque is 1.4 times the mean.

A hollow shaft is to transmit 300 kW at 80 r.p.m. If the shear stress is not to exceed 60 MN/mm² and internal diameter is 0.6 of the external diameter, find the external and internal diameters assuming that the maximum torque is 1.4 times the mean.

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 3.7.8P: A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The...

See similar textbooks

Related questions

Q: If a drive shaft with a shear modulus 120GN/m² and a length of 0.45m is to be subjected to a torque.…

Q: Example 21.6. Find the maximum torque that can be safely applied to a shaft of 200 mm diameter if…

Q: A hollow circular shaft with the ratio of internal and external diameters of 0.6 is required to…

Q: A 5 ft long solid SAE4340 OQT1000 steel shaft is required to transmit a power of 180 HP. The shaft…

Q: A steel tube with outer and inner diameters are 86mm and 52mm respectively is twisted by torques at…

Q: PROBLEM 1. A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diameters…

Q: . Determine the torque applied.

A: Determine the torque applied.

Q: The rotation in degrees of a shaft, 800 mm long subjected to a torque of 80 N-m, 10 mm in radius and…

A: Given: The shaft length, L = 800 mm = 0.8 m The torque applied, T = 80 N.m The radius of shaft, r =…

Q: PROBLEM 3. A 5-m steel shaft rotating at 1.20 Hz has 72 kW applied at a gear that is 2 m from the…

A: When an object rotate about the point due to the linear force act on the object is known as the…

Q: Two designs for a shaft are being considered. Both have an outside diamete of 80 m and are 100 cm…

Q: A torque of T= 40 kip-in. acts on gear C of the assembly shown in Fig. P6.91. Shafts (1) and (2) are…

Q: Figure Q6 shows a circular shaft AB and a square shaft BC where it is fixed at C. а. Determine the…

Q: A 2000 in-Ibf torque acts on a hollow shaft with an outer diameter of 2 in and an inner diameter of…

A: Torque, T=2000 in.lbfOuter diameter of shaft, do=2 inInner diameter of shaft, di=1.75 in

Q: A shaft ABCD 70 mm in diameter is subjected to torques of 1500 N-m at B and 1100 N-m at C acting in…

Q: A hollow steel shaft is stressed to 55 MPa by a torque of 100,000 ft-lb. If the inside diameter is…

Q: Question 6 Figure Q6 shows a circular shaft AB and a square shaft BC where it is fixed at C. a.…

A: Part (a) The data given is,

Q: A hollow steel shaft with an outside diameter of 80 mm and a wall thickness of 11 mm is subjected to…

Q: 10-spline shaft ( d= 0.91D, w= 0.156D, h= 0.045D ) and permanent fit has a diameter of 70 mm. Find…

Q: 2. The diameters of the solid shafts are: AB is 0.6 in, BC is 0.75 in. and CD is 0.9 in. The applied…

Q: A hollow cylindrical steel shaft is 1.5m long and has inner and outer diameters respectively equal…

Q: To Tc B A If TB=3T and TC=1T, determine the maximum value of T considering that the maximum…

A: Given data: - The value of torque at C is TC = 1T. The value of torque at B is TB = 3T. The…

Q: A hollow shaft has to transmit 6MW at 150rev / min. The maximum allowable stress is not to exceed 60…

Q: A 2-in-diameter C1118, as rolled steel shaft rotates at 240 rpm. Assuming a repeated, reversed and…

Q: A hollow steel shaft with an outside diameter of 90 mm and a wall thickness of 10 mm is subjected to…

Q: 8.2 (A). Calculate the dimensions of a hollow steel shaft which is required to transmit 750 kW at a…

Q: A circular shaft of 60 mm diameter is running at 150 r.p.m. What will be the torque transmitted by…

A: Given, Diameter of shaft = d = 60 mm Shear stress in the shaft = τ = 80 MPa From the relation…

Q: 2- Compare the weight of equal lengths of hollow and solid shafts to transmit a torque T for the…

Q: 5.2 A hollow bronze shaft of 75 mm outside diameter and 12.5 mm thick is coaXlal WiU. solid steel…

A: Outer diameter, Do=75 mmInner diameter, Di=50 mmDiameter of steel shaft, D=50 mmT=5693 N.m Note:…

Q: (12) A 50mm shaft is 3.0m long& receives 45kW from a pulley mounted @ 2.0m form the left end. A…

Q: mild steel shaft of 50 mm diameter is subjected to a bending moment of 2000 N-m and a torque T. If…

Q: A shaft with a hollow cross section is subjected to torque of magnitude T = 5.5 kN-m. If the outer…

Q: Calculate the maximum and minimum shear stress in a hollow circular shaft of outer diameter 20 mm…

A: Given data T=92.7 N-mD=20 mmt=2 mmd=16 mm

Q: 4. A hollow shaft with outside diameter of 98mm if it is subjected to a maximum torque of 5758N-m.…

Q: A hollow steel shaft transmits 600 kW at 500 r.p.m. The maximum shear stress is 62.4 MPa. Find the…

Q: 4) Shafts with lengths 5m and4 m are connected by gears. The diameter and shear modulus for both…

A: Given, Shaft lengths , 4m and 5m. Diameter of the shafts , d= 10cm Shear modulus of the shaft ,…

Q: 7.9 A solid steel shaft of 200 mm diameter transmits 5 MW at 500 rev/min. It is proposed to alter…

Q: B) Estimate the minimum shaft diameter according to the maximum shear stress theory for a shaft…

Q: Engineering Mechanics problem. A solid circular steel shaft having an outside diameter of D = 0.75…

Q: 6. A marine turbine developing 15,000 hp and it turns the shaft at 300 rpm. The propeller which is…

Q: The transmitted torque of a hollow shaft is 3400 N-m at a shearing stress of 55 MPa. If the outside…

Q: A stepped shaft of diameters 3D and D transmits 1 MW of power.The torque on the larger diameter…

Q: A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diam-eters respectively equal…

A: Given: do=60 mm=0.06 mdi=40 mm=0.04 mτmax=120 MPa To determine: Maximum torque can be applied for…

Q: a solid shaft is transmitting 1 mw at 240 rpm determine the daimeter of shaft exceed the mean of…

A: Shear stress produced by torque vary from zero at center of cross-section to maximum at surface in…

Q: 5.2 A hollow bronze shaft of 75 mm outside diameter and 12.5 mm thick is coaxlal Willl d solid steel…

Q: A hollow steel shaft is stressed to 35 MPa by a torque of 200000Nm. Determine the outside diameter…

Q: Steel shaft can be produced as solid body or circular tube with circular tube. The shaft must bear a…

Q: A hollow nickel-steel shaft, whose outside diameter is twice the inside diameter, is to transmit…

Q: 5. A propeller solid shaft of a ship with 200 mm diameter transmit a power of 5 MW at 500 r.p.m. It…

A: The diameter of solid shaft, The power of solid shaft, The speed of solid shaft, Now, the power…

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

Kindly solve step by step answer I need to learn.

A hollow shaft is to transmit 300 kW at 80 r.p.m. If the shear stress is not to exceed 60

MN/mm² and internal diameter is 0.6 of the external diameter, find the external and internal diameters assuming that the maximum torque

is 1.4 times the mean.

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 1

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

The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?
A thin tubular shaft with a circular cross section (see figure) and with inside diameter 100 mm is subjected to a torque of 5000 N · m. If the allowable shear stress is 42 MPa, determine the required wall thickness t by using (a) the approximate theory for a thin-walled tube and (b) the exact torsion theory for a circular bar.
A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]
What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (sec figure). If the allowable shear stress in the shaft is 6000 psi, what is the maximum torque (T0) that may be applied at section C? Find (T0)max if the maximum angle of twist is limited to 0.55º. Let G = 10,600 ksi.
A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0 in. (see figure), A torque T = 500 lb-in. acts on the shaft. Determine the shear stress at the stress concentration for values as follows: D1= 0.7,0.8, and 0.9 in. Plot a graph showing versus D?
A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?
A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.
A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).
A stepped shaft consisting of solid circular segments having diameters D1= 2.0 in, and D2= 2.4 in. (see figure) is subjected to torques T. The radius of the fillet is R = 0,1 in. If the allowable shear stress at the stress concentration is 6000 psi, what is the maximum permissible torque Tmax?