Answered: A solid steel shaft is subjected to…

Engineering

Mechanical Engineering

A solid steel shaft is subjected to torsional loadings. If T=10 kN-m. T= 45 MPa, the diameter of the shaft is:

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.

See similar textbooks

Related questions

Q: A solid shaft is required to transmit 120 kW power at 200 rpm. Find the suitable diameter of the…

A: Power, P = 120 kW Speed, N = 200 rpm Tmax = 1.2Tmean Shear stress, = 70 N/mm2…

Q: A motor driving a solid circular steel shaft transmits 40 kW of power at 500 rpm. If the diameter of…

Q: Consider the shaft shown. The aluminum portion is a solid circular section having 45 mm in diameter.…

Q: A tubular steel shaft transmits a power of P = 450 hp at a speed of 3000 rpm. Determine the maximum…

Q: PROBLEM 3. A solid cross-section shaft made of A992 steel and having a diameter of 60 mm is fixed at…

A: Given data as per question The diameter of shaft =60 mm Torque applied in AC =500 N.m/m Torque…

Q: The allowable shear stress in two steel (G = 83 GPa) shafts below is 90 MPa. The design requires…

A: Given data, Shear modulus of the shaft, G = 83 x103 MPa Allowable shear stress, ?allow = 90 MPa…

Q: Circular solid ACB shaft is fixed supported between the wall at A and B. If the allowable shear…

A: Allowable shear stress τallowable=42 MPa=42×106 N/m2Let the maximum torque applied at section C be…

Q: QUESTION 2 In Figure 2, the shaft is made of a solid A992 steel at section AB (rs = 25 mm),…

Q: A cylindrical tube of constant wall thickness t and inside radius r % 10t carries a torque T. Find…

A: Given Data Inside radius of tube is : ri=14×10t=2.5t Inside diameter is : d=2×2.5t=5t Outside…

Q: A hollow shaft transmits 9 MW at 300 rev/min. It is supposed that the maximum allowable stress is…

A: Given: The power transmitted by the shaft is P=9 MW. The maximum allowable shear stress is ζ=70…

Q: A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further…

A: Data given- d = 100 mm σaxial = 50 MPa T = 10 kN-m

Q: A stepped shaft ACB having a solid circular cross sections with two different diameters and two…

Q: 2. The composite shaft of total length 1.8 m consists of 5 mm thick brass and is fixed to a 30 mm…

Q: The 80-mm-diameter solid shaft is subjected to the distributed and concentrated torsional loadings…

A: formulaT/J=τ/r⇒Tπ32d2=τd2⇒τ=16Tπd3

Q: Q2. A solid circular shaft is subjected to a bending moment of 2500 N-m and a torque of 7 000 N-m.…

A: We will calculate diameter of shaft considering two types of failure: Maximum principal stress…

Q: : Q2 /A hollow steel shaft transmits 200 kw of power at 150 rpm .The total angle of twist in length…

Q: the twisting angle. The modulus of Rigidity for the shaft is 20 GN/m? • for the missing torque T =…

A: For the shafts in series,…

Q: (Q1 A hollow shaft has to transmit 6 MW at 150 rev/min. The maximum allowabl て 180 L=1 stress is not…

Q: A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the…

Q: A 1100 Nm torque is applied at B (CW looking from C towards A). Shaft (1) is solid brass with G 40…

Q: Determine the minimum diameter that can be used for a solid circular steel shaft which is limited…

Q: A solid shaft BC is fixed at the B end and subjected to torque T at the C end, as shown below. The…

Q: A hollow shaft for marine applications has outer and inner diameters of 400 mm and 200 mm…

A: Given: The outer diameter of shaft, D = 400 mm = 0.4 m The inner diameter of shaft, d = 200 mm = 0.2…

Q: 4m solid core steel shaft with 50 mm diameter is fixed at its ends. It is subjected to a 400 N-m…

Q: Q.4) A composite shaft is subjected to two torques as shown below. Shaft ABC is a hollow…

Q: A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further…

A: Given, Diameter of shaft = d = 100 mm Axial stress = σa = 50 MPa Torque = T = 10 kNm = 10 x 106 Nmm…

Q: 2 A hollow simple supported shaft 3m made of steel with di/do of 0.6. e shaft is subjected to a…

Q: Q2 /A hollow steel shaft transmits 200 kw of power at 150 rpm .The total angle of twist in length of…

Q: (6) A solid shaft is used to transmit 75kW @ 550rpm. If the shaft design stress will not exceed…

Q: A solid circular shaft needs to be designed to transmit a torque of 50Nm. If the allowable shear…

A: GIven DataT = 140 mPaFOS = 2T = 50 N.mTo find diameter

Q: A solid circular shaft transmits torque T= 500 Nm. Knowing that L= 300 mm, Dị = 300 mm, D2 = 250 mm…

A: giventransmitted torque T=500NmL=300mmdiameter of pulley B D1=300mmdiameter of pulley C…

Q: The composite shaft assembly shown is composed of a bronze (G = 38 GPa) hollow shaft perfectly…

A: Note: Dear Student! As per our guidelines, we are only allowed to answer three sub-parts of a…

Q: 1) A solid steel drive shaft is required to transmit 12 hp. The allowable shear stress for steel is…

Q: 3. Shafts AB and BC (each 50 mm long) are welded to each other. Shaft AB is hallow with 20 mm inner…

A: Given dataLength of the shaft AB and BC = 50mmShaft AB inner raius ri = 20mmShaft AB outer radius ro…

Q: A steel shaft in the form of a solid body circular rod or a circular tube can be manufactured. The…

A: given torsional torque T=1200 N.mshear stress for shaft material τ= 40 MPalargest permissible unit…

Q: 2. A shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected…

Q: (6) A solid shaft is used to transmit 75kW @ 550rpm. If the shaft design stress will not exceed…

Q: A shaft supported at the ends in ball bearings carries a straight tooth spur gear at its mid span…

Q: A solid shaft has a diameter of 40 mm and length of 1 m. It is made from an elastic-plastic material…

A: To find the maximum elastic torque Ty=? Using Torsional equation Ty=τYJR…

Q: The shaft consists of a titanium alloy tube AB and a solid stainless steel shaft BC. Tube AB has a…

Q: 2. The maximum torsional moment a solid shaft can bear is T = 0.2n kN m. If the allowable shear…

A: According to the information we have a torque of 0.2 π kN and allowable shear stress is t =50 Mpa…

Q: A solid circular shaft has a diameter of d mm and is made from steel, which fail when tested in…

A: Given:Syt=150 MPaM=22.2 KN.mT=44.4 KN.m

Q: A hollow nickel steel shaft with outside diameter is twice the inside diameter is to transmit 1492…

Q: A tubular steel shaft transmits a power of P = 450 hp at a speed of 3000 rpm. Determine the maximum…

A: Given data: P=450 hp=335565 WattN=3000 rpmD=2.25 int=0.150 in Need to determine the torque, polar…

Q: Consider two steel shafts CFG and HJ of diameters 50 mm and 70 mm respectively as shown in fig. The…

Q: The solid cast-iron shaft shown in Fig.a is subjected to a torque of T = 400 lb # ft. Determine its…

A: Maximum shear stress,τmax=TrJwhere,r=radius of shaftT=torque=400 lb.ftJ=Polar…

Q: The compound shaft is attached to a rigid wall at each end and is subjected to the torque T = 10…

Q: A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further…

A: Data given- d = 100 mm T = 10 × 103 N-m = 10 × 106 N- mm Axial stress = 50 MPa

Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

materials resistance

6. A solid steel shaft is subjected to torsional loadings. If T=10 kN-m.
T= 45 MPa, the diameter of the shaft is:

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 by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Properties of Engineering Materials

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 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 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 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.]
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).
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 motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?
A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.
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 long, thin-walled tapered tube AB with a circular cross section (see figure) is subjected to a torque T. The tube has length L and constant wall thickness t. The diameter to the median lines of the cross sections at the ends A and B are dAand dB, respectively. Derive the following formula for the angle of twist of the tube: Hint: If the angle of taper is small, you may obtain approximate results by applying the formulas for a thin-walled prismatic tube to a differential element of the tapered tube and then integrating along the axis of the tube.
Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
A circular pole is subjected to linearly varying distributed force with maximum intensity t0. Calculate the diameter daof the pole if the maximum allowable shear stress for the pole is 75 M Pa.