A 55-mm-diameter solid circular shaft as shown in the figure is made up of an aluminum material. The allowable shear stress is equal to 85 MPa, while the angle of twist, 04/c is not to exceed 0.06 rad. Determine the maximum allowable torque T. Use G = 29 GPa.

A 55-mm-diameter solid circular shaft as shown in the figure is made up of an aluminum material. The allowable shear stress is equal to 85 MPa, while the angle of twist, 04/c is not to exceed 0.06 rad. Determine the maximum allowable torque T. Use G = 29 GPa.

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 3.8.5P: A stepped shaft ACB having solid circular cross sections with two different diameters is held...

See similar textbooks

Related questions

Q: What are the factors needed to consider in selecting engineering design? Enumerate and shortly discu...

A: The factor needed to consider in selecting engineering design are:- Load and it's equivalent load:-...

Q: Simple stress and strain pleasee help

A: Given Diameter = 150 mm Gauge length = 300 mm Scale for graph 25 mm = 50 mm 25 mm = 0.2 X 10-3 mm/mm...

Q: result? Why? 4. What is the minimum amount of ice at 0°C that must be added to the contents of a can...

A: Write the given data in the problem. V=340 ml Ti=20.5°C Tf=0°Cρw=1 g/ml L=335 J/gcw=4.184 J/g·K H...

Q: How is thermal energy lost when a person exits a building through an exterior door in the winter? a)...

A: Convection is the transfer of heat from one section of a fluid (liquid or gas) to another by the ...

Q: The number of degree of freedom

A: Given; The number of degree of freedom of a planar linkage: 22 links and 27 simple revolute joints....

Q: A cantilever beam, 90 mm wide by 240 mm high and 7 m long, carries a load that varies uniformly from...

A: Answer: The magnitude of the stress at the given point of consideration is 1.72233 MPa.

Q: In a laboratory test of a beam loaded by end couples, the fiber at layer AB as shown are found to in...

Q: A 1.3-lb sphere A is dropped from a height of 1.8 ft onto 2.6-lb plate B, which is supported by a ne...

Q: The following figure shows a journal bearing supports a radial load of 10 kN at speed of 2400 RPM. B...

Q: The change in specific entropy c

A: Given: An ideal gas undergoes a process from; state 1: T1=300 K p1=1 kJ/kg-K state 2: T2=...

Q: Draw the shear and moment diagrams for the loaded beam. What are the values of the shear force and b...

Q: Energy Flux Malaysia has just launched a new type of house refrigerator system using R-134a as a wor...

Q: A prismatic bar with a length L = 1 m andcross-sectional area A = 1200mm2 is supported atthe ends. T...

A: If the temperature of the body is lowered or raised its dimension will increase or decrease correspo...

Q: ns for a beam are to be considered. De ort a moment of M= 150 kN.m with the 1 5. What is that stress...

A: given: moment M=150kN-m

Q: Determine the maximum tensile stress (MPa) at

A: Determine maximum tensile stress.

Q: An ideal regenerative engine receives 140,000 kg/hr of throttled steam at 15 MPaa and 600 °C. Before...

Q: A high-strength steel band saw, 21 mm wide, runs over pulleys 1200 mm in diameter. What minimum thic...

A: GivenW=21mmd=1200mmσ=280 MPaE=230GPa

Q: TURBINE its definition its principle its diagram and names of part

A: TurbineTurbine is a machine which converts kinetic energy of the fluid into mechanical energy. This ...

Q: e. Determine the maximum allowable value of P

A: Determine the maximum allowable value of p

Q: Identify the internal and external forces in each joint. (preferably draw) 50KN E 25kN 6m C. D 30KN ...

Q: Give the vector in cartesian coordinates that extends from B(4, 20degrees, 10degrees) to W(7, 120deg...

Q: Do you think that Rapid Prototyping or medical scaffolding is a better application for MEX? Explain....

A: Given MEX To find Verify whether MEX is better than rapid prototyping MEX process is better with amo...

Q: A rigid tank contains 0.5 kg of moist air at 1.034 MPa, 160 C, and φ = 100%. We now cool the tank u...

A: Write the given data. m=0.5 kgPt=1.034 MPaT1=160 °Cϕ=100 %T2=82 °C

Q: A single-angle tension member, an L3 12 x 3 12 x 38, is connected to a gusset plate with 7/8-inch-di...

A: Strength of single angle with gusset plate is totally dependent on gross area and net area of the pl...

Q: If one can evaluate jm pm how many

A: The correct option is A

Q: Saturated water occupies a volume of 1.7 m3. Heat is added until it is completely vaporized. If the ...

Q: A physics professor stands at the centre of a frictionless turntable with arms outstretched and a 9....

A: Find the final angular velocity in revolution per seconds

Q: NEED WITHIN 1HR PLEASE, THANKS 1. A 1200-kg automobile is moving at a speed of 90 km/h when the brak...

A: Given Data: Mass of the automobile, m=2100 kg Velocity, V1=90 km/h

Q: A small balcony constructed of wood is supported by three identical cantilever beams (see figure). E...

A: Given Length, L = 2.1 m Bending stress = 15 MPa Weight density = 5.5 kN/m3 Find Dimensions, b

Q: H.W.. Prove that : 02 1 Oy, +

A: We have to proove:→σ1σyt+σ2σyc=1 where: →σ1 and σ2 are principle stresses→σyt and σyc are the tensil...

Q: A pump delivers 500 GPM water with a suction line 6 in. diameter. The reservoir is pressurized with ...

A: Given data, Discharge rate is Q = 500 GPM Q=500448.83=1.114 ft3/s Diameter of suction line, D = 6 in...

Q: A Cotton fiber, initially 2.2 cm long, is being stretched to its maximum known strain. What would b...

Q: Two designs for a beam are to be considered. Determine which one will support a moment of M= 150 kN....

Q: 1. As of early 2018, Usain Bolt holds the world record in the men's 100-meter dash. It is 9.58 secon...

A: Average speed=total distance traveled/total time taken Here given distance ,S=100m =100/1000km=0.1...

Q: 2. The steam is generated from an ideal rankine cycle in throttle conditions of 6 MPa and a 450ºC. E...

A: Given data Initial Condition of steam is 6 MPa and 450oC. Exhaust Pressure = 0.005 MPa

Q: A rectangular steel block is 4 inches long in the x-direction, 6 inches long in the y-direction, and...

Q: O Summing moments about an axis parallel to x, passing through A Summing moments about an axis paral...

Q: 2- Determine the support reactions and tilt in the beam after loading. Assume the beam is weightless...

Q: system is qs is at at (0,0) and final configuration af is at (8,6). Vertices of obstacle 1 are: (1 :...

Q: By applying a force F, a saline solution is ejected from the 10-mm-diameter syringe through a 0.4-mm...

Q: Problem 2-15 Determine the design angle o (0° < os 90°) between struts AB and AC so that the 400-lb ...

A: From the question, the 500 lb force acting along the component AC as shown below, Let the force in ...

Q: Kenyan Eliud Kipchoge set a new world record for men of 2:01:39 on September 16, 2018. ASsign his av...

Q: 12 bales of cotton, each weighing 486 lb, were held for conditioning in a humid warehouse kept at a ...

Q: The number of DOF

A: Given: Number of degree of freedom of a planar linkage with link=14 joints=17Where, DOF= it is a mod...

Q: 2. If the 80 kg cyclist took 3.00 m horizontal distance to reach 5. 20 m elevation above the ground....

Q: Find the couple-force system at A. Semiparabolic region 8 kN/m A B 3 m 2 m

Q: Name at least two units that you use every day.

A: Most of the time in the day to day life there are many duties which have to be done daily y u. Some ...

Q: Based in your study so far, explair a high pressure ( figure 1) and whe the gas in both situations. ...

A: A refrigerant is a chemical that is used to transmit heat from one location to another in a heat ...

Q: •2-33. If F = 600 N and = 30°, determine the magnitude of the resultant force acting on the eyebolt ...

A: To determine the magnitude of resultant force

Q: The following figure shows a journal bearing supports a radial load of 10 kN at speed of 2400 RPM. B...

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

3. ! SHOW FULL SOLUTION !

* USE TORSION FORMULA

* USE DATA GIVEN BELOW

* PLS BOX FINAL ANSWERS

A 55-mm-diameter solid circular shaft as shown in the figure is made up of an aluminum material. The
allowable shear stress is equal to 85 MPa, while the angle of twist, 0a/c is not to exceed 0.06 rad. Determine
the maximum allowable torque T. Use G = 29 GPa.
2m
2m
T
B
A
N I3

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

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 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 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 brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the figure. The allowable shear stress in the brass is 12 ksi. What is the maximum permissible value of the torques T1? If a hole of diameter 0.625 in. is drilled longitudinally through the bar, as shown in part b of the figure, what is the maximum permissible value of the torques T2? What is the percent decrease in torque and the percent decrease in weight due to the hole?
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?
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 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 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 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?
Solve the preceding problem if the length L = 56 in., the inner radius r1— 1.25 in., the angle of twist is 0.5°, and the allowable shear strain is 0.0004 rad.
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 steel axle of a large winch on an ocean liner is subjected to a torque of 1.65 kN · m (see figure). What is the minimum required diameter dminif the allowable shear stress is 48 M Pa and the allowable rate of twist is 0.75º/m? (Assume that the shear modulus of elasticity is 80 G Pa.) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d/8, Compare dminvalues to corresponding values from part (a)