Determine torsional stiffness of the shaft. hollow circular shaft of;Outer radius = 25 mmInner radius 15 mm%3DLength = 2 mIt is used as a torsional springShear modulus = 150 GPa

Answered: Image /qna-images/answer/6fbe78d2-372a-408f-8ba6-d426fa8be43a.jpg

Answered: Determine torsional stiffness of the…

Engineering

Mechanical Engineering

Determine torsional stiffness of the shaft

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 3.8.8P: A solid circulai' aluminum bar AB is fixed at both ends and loaded by a uniformly distributed torque...

See similar textbooks

Related questions

Q: in all surfaces, find the normal reaction forces at points A and B, in terms of force P, masses M an...

Q: determine Max. bending moment

A: Given; Simply supported beam shown in figure; where, Simply supported mean with one end is hinged or...

Q: nterdisciplinary research takes time to have an impact. What is your opinion for this statement? Ma...

A: Interdisciplinary research

Q: (20 mm 40 mm 30 0mm 35mm 30mm 80 mm 1- Find the centroid ,7 OF Ihertia Ix, Iy Sy, SY 2. The moment 3...

Q: A force of 1ooN is APelied fo olbyect of Cauleulote the Arexxure P area 5 m².

A: Given data : Force = F Area = A To find : Pressure

Q: Heat transfer problem Water flows through a thin-walled cylindrical tube of diameter 1 cm, maintaine...

Q: The rigid bar AB, attached to aluminum and steel rods, is horizontal before the load P is applied. F...

Q: Question 4 ) Listen AV-belt is wrapped around a Ø5.00-inch pulley with a 38.0° groove angle. Calcula...

A: Given data-angle in degree for belt wrap=38.0°C

Q: (a) the velocity of the car before the brakes were applied is given; v? = u? + 2ad v? = 0 + 2(10 x 3...

Q: Use Möhr's circle to solve the unknown values in the stress systems shown in figure 16.37. 80 MPa 30...

Q: Determine the magnitude of acceleration of point C at this instant. Express your answer in feet per ...

A: The disk does not slipso that,a0=αr=6×0.5=3m/s2By using relative acc. equation-ac=a0+α×r-ω2r =-3i...

Q: ented ass shown. Determine the stress at point would the stress be at point A if the couple M is o 2...

A: find the principal axis ;average moment of inertia , corresponding to the point E substitute...

Q: 4. A plane cruising at an altitude of 500 m from the ground and 22 degrees from the horizontal at a ...

Q: The time taken to drill a hole through a 30mm thick plate with the drill rotating at 200 rpm and mov...

A: Given Data: The thickness of the plate, t=30 mm

Q: For a pair of blackbodies surrounded by an adiabatic wall and separated by vacuum, show if and th...

Q: Part A At a given instant A has the motion shown in (Figure 1). Determine the magnitude of accelerat...

A: The velocity of an object B in the rest frame of another object is called relative velocity. A. Anal...

Q: The water in the vessel consisting of liquid and vapor in equilibrium at 8.547 Mpa. It has found out...

A: Given DataP=8.5MPaU=2138.545kJ/kg

Q: 5. A variable area flowmeter (rotameter) is used to find the flow rate of water at room temperature....

A: Given: Height of the log of the rotameter=18 inch And height of the floater mid plane from entrance=...

Q: V Use the engincering stress strain diagram provided below to answer parts (A) to (1) below (the str...

Q: 3. A storage tank 20.0 m deep is filled with water. The top of the tank is open to the air. a. What ...

Q: 2. Find the horizontal and vertical forces at Point C as it acts on Member BD.

Q: Describe the step-by-step procedure in turning a taper using compound rest method.

A: Inroductiopon to taper turning: Taper turning is the process of to make conic cylinderical surface,...

Q: 100 kW is transmitted at 3000 rpm by a multiple disc friction clutch. The plates in oil and have the...

A: Given that, Power transmitted, P=100 kW=100×103 watt Speed of clutch, N=3000 rpm Coefficient of fric...

Q: 2. Angular momentum conservation | h h' A ball with mass m hits a racket with mass m, at a speed of ...

Q: a capsule attached to a line is being rotated in a vertical loop of radius of 15 meters determine: ...

A: Given: r = 15 m and vertical circular motion

Q: From the figure below determine the following: A. The reactions at A and B B. The resultant force ...

A: Answer: (a) The reactions at A and B : RA = 45 kN and RB = 30 kN. (b) The resultant force (R) is 75 ...

Q: Find total head

Q: The rigid bar ABC is supported by pin at A and aluminium wire BD, is horizontal before the Load P is...

Q: Conduct FTA(Fault Tree Analysis) for the hydrogen gas station. You should have at least 4 basic eve...

A: Given : To find: Fault tree analysis

Q: Required iHT NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to...

Q: Does line AB intersect with parallel lines YZ and WX? Complete all views

Q: The rear spring of an automobile has 9 leaves, each with an average thickness of 0 and a width of 2 ...

A: t=0.242inb=2inL=56intotal weight=1300lb To-Find:- a) Rate of the springb) Maximum stress caused by t...

Q: 1. Find the mass and weight of the air in a room at 20 deg Celsius with a 7.0m x 9.0m floor and a ce...

Q: Solve the problem Problem: Sheet metal is to be bended on a pneumatically actuated bending rig. Afte...

A: Pneumatics is additionally involved a ton in industry and you would hope to see pneumatic frameworks...

Q: 1) A building consists of two floors. The first floor is attached rigidly to the ground, and the sec...

A: We will answer the first question since the exact one was not specified. Please resubmit a new quest...

Q: re an xpuedsian for heat transfer de fer @ 1sotherma process 6 admbahic pres polrtaní proess.r-n

A: In an isothermal process, there is no temperature change. As a result, the change in internal en...

Q: (a) the velocity of the car before the brakes were applied is given;

Q: For alloys of two hypothetical metals A and B, there exist an α, A-rich phase and a β, B-rich phase....

Q: The spring-held follower AB has a mass of 0.5 kg and moves back and forth as its end rolls on the co...

Q: 22. Two perpendicular rectangles are shown in the figure. Find F12 for both let and right figures. I...

A: given; a=b=1mc=d=0.5mF12=?

Q: Saturated water vapor at 200.111 oC is isothermally condensed to a saturated liquid in a piston-cyli...

Q: timing diagram with IPO, IPC, TPO, TPC,EPO, EPC as 35,35,40,40,35,50

A: The port timing diagram for required functions with angle is shown below.

Q: howsaHeatingRoom,whichpartlyisolated.Thereisathermalsystemconsisting of an electric heater in a room...

A: TO given that Heat comes from heater enter into room =q1Heat tranferred to the surrounding=q2a ; ...

Q: A simple rankine ideal cycle with water as the working fluid. Twenty kilograms of steam enters the t...

Q: 2/ Find the slope of the line 2x+3y=6 and then find the distance from this line to the point P(-2,1)

Q: DA rectangular beam 150mm wide by 250mm high carries a uniformly distributed load of 8kN/m and a con...

Q: A form of energy that flows from hot to a colder region Select one: a. heat b. heat capacity c. tem...

A: Given Data : form of energy that flows from hot to a colder region

Q: The addition of damping to an undamped spring-mass system causes its period to increase by 30 percen...

A: given : τd = 1.3τ

Q: Find the value of heat, efficiency rate, work in 68 spin and power in 0.87 seconds if an engine rele...

Q: Hello could anyone teccomend any improvements to thid type of rankie cycle combustion chamber fuel a...

Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

Determine torsional stiffness of the shaft.

hollow circular shaft of;
Outer radius = 25 mm
Inner radius 15 mm
%3D
Length = 2 m
It is used as a torsional spring
Shear modulus = 150 GPa

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

Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
A solid circulai' aluminum bar AB is fixed at both ends and loaded by a uniformly distributed torque 150N·n/m. The bar has diameter d = 30 mm. Calculate the reactive torques at the supports and the angle of twist at midspan. Assume that G = 28 GPa.
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?
Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.
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.
Repeat Problem 10.3-15 using L = 3.5 m, max = 3 mm, and EI = 800 kN·m2.
Torsional T is applied to the hollow axis (G=80 GPa). Ewha Womans University, the maximum shear strain is γmax = 640 × 10-6rad Igo, inside andThe outside diameters are 120mm and 150mm, respectively.a. What is the maximum axial strain?b. Maximum axial stress?c. What is the maximum torque (T) meeting the above conditions?
2. A steel shaft rotating at 600 rpm is supported by two bearings as shown. E=30 Msi, d=1.0" (inch), L₁=24.0" (inches), L=42" (inches), W₁-50 lb, Neglect the weight of the shaft. "The design is acceptable." True ? Show details. or False Diameter d W₁
A hollow circular shaft of inner radius 10 mm outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is?
The sbaft shown overhangs a bearing on the right and has the following dimensions: a - 5 in., b - 4 in., and - 10 in. The material is AISI C1040. annealed. This shaft is subjected to a torque T 10,000 in-lb., forces F - 10,000 lb. and F, 20,000 lb. Using a atatio-design approach, determine the diameter D for N 2.5, with eomputa- %3D Answer: a) Dia. = _inches %3D %3D %3D tions from the maximum shear stress theory. Note: Use Sy = 48,000 psi F2 N M
1. Shaped stepped shaft A torque of Tx = 200 Nm and a moment of Mz = 260 Nm are applied.Calculate the maximum stresses that will occur in the bar cross section. y D=400mm r=30mm d=150mm Tx=200NM Mz=260NM