A 3-m steel shaft is to transmit 100 kW at 300 rpm. It carries two gears each weighing 1.9 kN supported at a distance of 1 meter from each ends. Assuming an allowable shaft bending stress of 117 MPa, determine the diameter of the shaft in mm using ASME code (assume Km = 1.0 and Kt = 1.0)

A 3-m steel shaft is to transmit 100 kW at 300 rpm. It carries two gears each weighing 1.9 kN supported at a distance of 1 meter from each ends. Assuming an allowable shaft bending stress of 117 MPa, determine the diameter of the shaft in mm using ASME code (assume Km = 1.0 and Kt = 1.0)

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 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...

See similar textbooks

Related questions

Q: Show that the x-momentum equation can be written as follows. ди u+v== U=+ ду dU 1 dt dx pay ди dx wh...

A: Being exceptionally non-straight because of the convective speed increase terms, the Navier-Stokes c...

Q: cross section, side length b, and wall thickness t. The second is a round of diameter b and wa thick...

Q: kN (i) m of water (ii) mm of mercury (i) abs.

A: given- Patm= 75 cm of Hg P= 10N/cm2

Q: F2–6. If force F is to have a component along the u axis of F,=6 kN, determine the magnitude of F an...

Q: . An 8-ft long tank open to the atmosphere initially contains 3-ft high water. It is being towed by ...

Q: How does the total énergy change as the skater oscillates in the ramp? O The total energy of the ska...

A: NOTE:- As per our company guidelines we are supposed to answer only one question. Kindly repost othe...

Q: Determine the diameter of a droplet of water in mm if the pressure inside is to be greater than that...

A: We've provided information from the question. : 1) Pressure, P=130 N/m2 2) Density of water, σwater=...

Q: Determine the x-component of R (in Ib). *

Q: 1 What are some examples of rigid bodies? 2 What are the units of measures encountered in pure rotat...

A: 1. Incompressible in nature 2. Angular velocity and acceleration 3. I = mr2

Q: 2 000-kW diesel engine consumes 1 bbl of industrial fuel of 25°API at 80.6°F in a single- day operat...

A: Given Data: The volume of diesel, V=1 bbl Diesel API, = 25 API

Q: In a pumping system handling water, the surface level of water in the open sanction tank is 3m below...

Q: venturi meter is introduced in a 300 mm diameter horizontal pipeline carrying a liquid under a press...

A: Diagram and solution is attached below:

Q: Calculate the mass moment of inertia of the thin ring shown in the accompanying diagram. Express y...

A: Calculated mass moment of inertia of the thin ring in kg-m2.

Q: In the figure below, two forces are acting at the same point A. Find the resultant of these two forc...

Q: A standard vapor-compression refrigeration system produces 20 tons of refrigeration using R 12 as a ...

A: Given data:- Evaporator temperature = -25°C Condenser temperature = 40°C Refrigeration = 20 tone

Q: adius of 10.5 cm. Due to the mal adjustment of spring, the equilibrium speed of governor at top posi...

Q: 8. Determine the power rating of a no. 60 chaln, single- strand, operating on a 20-tooth sprocket at...

Q: Describe the uses of expansion in thermometers using diagrams

A: Describe the uses of expansion in thermometers using diagrams

Q: 2. The atmosphere of Jupiter is essentially made up of hydrogen. The local gravity of Jupiter 15.1 m...

A: g= Local gravity of Jupiter =15.1 m/s2 T =Surface Temperature = —190 F R=Specific gas constant for h...

Q: A window measures 36 inches x 50 inches and there are 20 of these windows in a structure. The U-fact...

A: Given: Window of size 36 inches x 50 inches A=1800 in2=1.161 m2 Number of windows, n=20 U=1.3 Btu/h...

Q: The outside wall of a building consists of an inner layer of gypsum plaster, k = 0.17 W/ m K and 1.5...

Q: A darts player throws a dart horizontally at a board 2m away with speed u. The dart hits the board a...

Q: Calculate the internal shear force and the internal bending moment for the beam at every point x, an...

A: We will answer the first question since the exact one was nor specified. Please subit the new questi...

Q: Consider a 210-MW steam power plant that operates on a simple ideal Rankine cycle. Steam enters the ...

A: Answer: The actual pump work input: Wp = 11.87 kJ/kg.

Q: Find the amount of this radioactive substance at any time 't'. The decay constant/radioactive consta...

Q: What is the Poisson's ratio if the ratio of Young's modulus (E) to the shear modulus (G) is 2?

A: Given data, The ratio of young's modulus and shear modulus is 2 ie E/G=2

Q: ometer with diameters L and d is used to measure the pressure difference P, - P. Both ends experienc...

Q: A load P is supported by two concentric steel springs arranged as shown. The inner spring consists o...

Q: What container has the greatest pressure at the point indicated? Which point experiences the least...

A: 1 => D -) It's having a greatest pressure. 2 => Actually values not mentioned in given questio...

Q: Q1: Determine the Moment of Force F (100N) shown in fig. down about point (A) by 2 ways at leasti 05...

A: GIVEN DATA - A TROLLY GIVEN ACTED UPON BY FORCE F=100N WE HAVE TO FIND MOMENT ABOUT POINT A

Q: QUESTION 5 Two structural members B and C are bolted to bracket A. Knowing that both members are in ...

Q: Explain the difference between ultimate strength and hardness of material also expalin why the corre...

Q: Consider the sealed containers (same fluid and on the same ground level) below with heights given in...

A: Pressure = Weight Density of fluid X Height of fluid

Q: When the pressure goes below bubble point the first bubbles of gas start to appear and immediately b...

A: Bubble point indicates the pressure at which the first flow of air through a liquid saturated fabric...

Q: e finite element equations fc

A: Need to derive the finite element equations for a torsion element.

Q: refrigeration in kW. The specif

Q: rgy is absorbed by a heat engine from the hot reservoir K. a) How much work is performed by this hea...

Q: Q2:Replace the Force 70N by Equivalent System consist of one force &couple at 1: At Supporting point...

Q: 5500 kg of steam is produced per hour at a pressure of 7.6 bar in a boiler with dryness fraction 0.9...

A: GIVEN DATA - Mass M=5500kg/hr BOILER PRESSURE =7.6bar DRYNESS FRACTION X=0.98 FEED WATER TEMPRATURE ...

Q: A weight of 18N is supported by a linear spring having a stiffness of 4 N/m and a dashpot having a d...

A: Given : W = 18 N K = 4 N/m C = 56 Ns/m x0 = 4 mm = 0.004 m v0 = 0 To find : General solution Frequ...

Q: A 12 inches square steel bearing plate lies between an 8 inches diameter wooden post and a concrete ...

Q: At a water treatment plant, water (68°F) flows from tank 1 to tank 2 at a rate of 0.60 cfs through a...

A: Note:- From Colebrook equation(Turbulent flow):- 1f=-2logε3.7D+2.51Ref=-2log0.000853.7×0.25+2.512824...

Q: For a fully developed flow of water in a pipe having diameter 10 cm, velocity 0.1 m/s and kinematic ...

Q: the Laplace Transform 1 (s+2)(s+5) The corr be form:

A: To determine the Inverse Laplace of 1/(s+2)(s+5)

Q: Consider the sealed containers (same fluid and on the same ground level) below with heights given in...

Q: PROBLEM 2: Determine Pand 6 so that the three forces shown are equivalent to the single force R = 85...

A: Given data, R is resultant where R= 85i + 20j kN Need to find P and θ

Q: . A vertical circular stack 30 m high converges uniformly from a diameter of 6 m at the bottom and 4...

A: Here given data says that Hight ,= 30 m Diameter at bottom= 6 m Diameter at top = 4.5 m Wight of...

Q: A h

Q: A cylindrical bar, whose lateral surface is constrained so that there can be no lateral expansion, i...

Q: 5, 0.06, readings

Concept explainers

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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 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 machine shaft supported on bearings 2 m apart is to transmit 180 KW at 200 rpm while subjected to a reversed bending load of 5000 N located at a distance of 60 cm from one bearing. Allow a shear stress of 40 MPa and a bending stress of 80 MPa, determine the shaft diameter for steady loading if km = 1.5 and ks = 1.0. note: answer must be in mm
Calculate the shaft diameter and torsion angle since the maximum torsional moment is 150 Nm for a 1 meter long shaft with a permissible shear stress of 320 MPa G=80 GPa
A steel shaft transmits 30 kW of power at 10 Hz. Determine the smallest safe diameter of the shaft if the shear stress τmax is not to exceed 50 MPa and the angle of twist θ is limited to 5°in a length of 4 m. Use G = 70 GPa
The built-up shaft is to be designed to rotate at 450 rpm while transmitting 230 kW of power. Is this possible? The allowable shear stress is tallow = 150 MPa.
The maximum bending stress of a hollow shaft is equivalent to 80N/mm2, while the maximum shear stress is equal to 70 N/mm2.The shaft rotates and loads are applied suddenly, with minor shocks. Determine the outer and inner diameter (in mm) of a hollow shaft that is required to carry a bending moment of 2100 N-m and a torque of 4100 N-m if the thickness of the hollow shaftis equal to 0.15of the outer diameter of the shaft. Apply ASME Code for this problem.
Determine the outer and inner diameter (in mm) of a hollow shaft that is required to carry a bending moment of 2000 N-m and a torque of 4300 N-m if the diameter of the hole is equal to 0.7 of the outer diameter of the shaft. The shaft rotates and loads are applied suddenly, with minor shocks. The maximum bending stress is equivalent to 88 N/mm2. Apply ASME Code for this problem.
Calculate the maximum and minimum shear stress in a hollow circular shaft of outer diameter 20 mm and thickness 2 mm, subjected to a torque of 92.7 N-m.
The propellers of a ship are connected to an A-36 steel shaft that is 60 m long and has an outer diameter of 340 mm and inner diameter of 260 mm. If the power output is 6 MW when the shaft rotates at 22 rad/sec. Determine the angle of twist in the shaft in radian. G = 75 GPa. Note round off your answer in three decimal places Ex. 2.00589=2.006
A propeller shaft is required to transmit 45 kW power at 500 rpm. It is a hollow shaft having inside diameter 0.6 times the outer diameter. It is made of plain carbon steel and the permissible shear stress is 84 N/mm^2. Determine the inner and outer diameters of the shaft.
A 5 ft long solid SAE4340 OQT1000 steel shaft is required to transmit a power of 180 HP. The shaft speed is 3,000 rpm. The allowable shear stress is 50 ksi and the allowable angle of twist per foot of length is 0.04 radians. Determine the minimum diameter that meets the design requirements. Note- Shear modulus for steel is given in images
A hollow shaft for marine applications has outer and inner diameters of 400 mm and 200 mm respectively and transmits 8000 kW at 100 r/min. Calculate the maximum shear stress in the hollow shaft. Calculate the shear stress on the inner surface of the hollow shaft. Determine the maximum length of this shaft if the maximum shear stress as well as an angle of twist of 30 is not to be exceeded. (G = 80 GPa) If this shaft is connected to a similar shaft, 1 m long, through a 10-bolt rigid flange coupling, determine the minimum standard bolt diameter if the pitch circle diameter of the coupling is pcd = 450 mm and the allowable shear stress in the bolts should not exceed 55 MPa. Determine the equivalent torsional stiffness of the shaft assembly.