BuyFind*arrow_forward*

9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 3, Problem 3.8.9P

Textbook Problem

413 views

Two sections of steel drill pipe, joined by bolted flange plates at * B, *arc subjected to a concentrated torque 4000 kip-in. at

To determine

The reaction torque at A and the reaction torque at B .

The twist angle at the center of the bar.

**Given information:**

The concentrated torque is

Write the expression for polar moment of inertia of left bar.

Here, polar moment of inertia of the left bar is

Write the expression for polar moment of inertia of right bar.

Here, polar moment of inertia of the right bar is

Write the equilibrium Equation for torques.

Here, torque at A is

Write equilibrium equation for AD .

Here, torque at D is

Write equilibrium equation for DB .

Write the equilibrium Equation for BC .

Here, torque in segment BC is

Write the expression for angle of twist for AD .

Here, angle of twist is

Write the expression for angle of twist for B .

Here, angle of twist is

Substitute

Write the expression for angle of twist for BC .

Write the compatibility equation for angle of twist.

Here, angle of twist for C is

Write the expression for maximum shear stress in AB .

Here, maximum shear stress is

Write the expression for maximum shear stress in BC .

Here, maximum shear stress is

**Calculation:**

Substitute

Substitute

Substitute

Substitute

Substitute

Mechanics of Materials (MindTap Course List)

Show all chapter solutions

Ch. 3 - A circular tube is subjected to torque Tat its...Ch. 3 - -2. A plastic bar of diameter d = 56 mm is to be...Ch. 3 - A copper rod of length L = 18.0 in. is to be...Ch. 3 - A circular steel tube of length L = 1.0 m is...Ch. 3 - Solve the preceding problem if the length L = 56...Ch. 3 - A circular aluminum tube subjected to pure torsion...Ch. 3 - A solid steel bar of circular cross section has...Ch. 3 - A solid copper bar of circular cross section has...Ch. 3 - Repeat Problem 3.3-1, but now use a circular tube...Ch. 3 - A copper tube with circular cross section has...

Ch. 3 - A prospector uses a hand-powered winch (see...Ch. 3 - When drilling a hole in a table leg, a furniture...Ch. 3 - While removing a wheel to change a tire, a driver...Ch. 3 - -8 An aluminum bar of solid circular cross section...Ch. 3 - A high-strength steel drill rod used for boring a...Ch. 3 - The steel shaft of a socket wrench has a diameter...Ch. 3 - A circular tube of aluminum is subjected to...Ch. 3 - A propeller shaft for a small yacht is made of a...Ch. 3 - Three identical circular disks A, B, and Care...Ch. 3 - The steel axle of a large winch on an ocean liner...Ch. 3 - A hollow steel shaft used in a construction auger...Ch. 3 - Solve the preceding problem if the shaft has an...Ch. 3 - A vertical pole of solid, circular cross section...Ch. 3 - A vertical pole of solid, circular cross section...Ch. 3 - A solid brass bar of diameter d = 1.25 in. is...Ch. 3 - A hollow aluminum tube used in a roof structure...Ch. 3 - A circular tube of inner radius r1and outer radius...Ch. 3 - .1 A stepped shaft ABC consisting of two solid...Ch. 3 - A circular tube of outer diameter d3= 70 mm and...Ch. 3 - A stepped shaft ABCD consisting of solid circular...Ch. 3 - A solid, circular bar ABC consists of two...Ch. 3 - A hollow tube ABCDE constructed of monel metal is...Ch. 3 - A shaft with a solid, circular cross section...Ch. 3 - A solid steel shaft ABCDE turns freely in bearings...Ch. 3 - Two sections of steel drill pipe, joined by bolted...Ch. 3 - Four gears arc attached to a circular shaft and...Ch. 3 - -10. A tapered bar AB with a solid circular cross...Ch. 3 - A tapered bar AB with a solid circular cross...Ch. 3 - The bar shown in the figure is tapered linearly...Ch. 3 - The non prismatic, cantilever circular bar shown...Ch. 3 - A uniformly tapered tube AB with a hollow circular...Ch. 3 - A uniformly tapered aluminum-alloy tube AB with a...Ch. 3 - For the thin nonprismatic steel pipe of constant...Ch. 3 - .17 A mountain-bike rider going uphill applies...Ch. 3 - A prismatic bar AB of length L and solid circular...Ch. 3 - A prismatic bar AB with a solid circular cross...Ch. 3 - A magnesium-alloy wire of diameter d = 4mm and...Ch. 3 - A nonprismatic bar ABC with a solid circular cross...Ch. 3 - -22 Two tubes (AB, BC) of the same material arc...Ch. 3 - A circular copper bar with diameter d = 3 in. is...Ch. 3 - A circular steel tube with an outer diameter of 75...Ch. 3 - A hollow aluminum shaft (see figure) has an...Ch. 3 - A hollow steel bar (G = 80 GPa ) is twisted by...Ch. 3 - A tubular bar with outside diameterd2= 4.0 in, is...Ch. 3 - A solid circular bar of diameter d = 50 mm (see...Ch. 3 - -7 A steel tube (G = 11.5 x 106 psi) has an outer...Ch. 3 - A solid circular bar of steel (G = 78 GPa)...Ch. 3 - The normal strain in the 45n direction on the...Ch. 3 - An aluminum tube has inside diameter dx= 50 mm,...Ch. 3 - -11 A solid steel bar (G = 11.8 X 106 psi ) of...Ch. 3 - A solid aluminum bar (G = 27 GPa ) of diameter d =...Ch. 3 - Two circular aluminum pipes of equal length L = 24...Ch. 3 - A generator shaft in a small hydroelectric plant...Ch. 3 - A motor drives a shaft at 12 Hz and delivers 20 kW...Ch. 3 - A motor driving a solid circular steel shaft with...Ch. 3 - A solid steel shaft ABC with diameter d = 40 mm is...Ch. 3 - The propeller shaft of a large ship has an outside...Ch. 3 - The drive shaft for a truck (outer diameter 60 mm...Ch. 3 - A hollow circular shaft for use in a pumping...Ch. 3 - A tubular shaft being designed for use on a...Ch. 3 - A propeller shaft of solid circular cross section...Ch. 3 - What is the maximum power that can be delivered by...Ch. 3 - A motor delivers 275 hp at 1000 rpm to the end of...Ch. 3 - The shaft ABC shown in the figure is driven by a...Ch. 3 - A solid circular bar ABCD with fixed supports is...Ch. 3 - A solid circular bar A BCD with fixed supports at...Ch. 3 - A solid circular shaft AB of diameter d is fixed...Ch. 3 - A ho 1 low st e el shaft ACB of outside diameter...Ch. 3 - A stepped shaft ACB having solid circular cross...Ch. 3 - A stepped shaft ACB having solid circular cross...Ch. 3 - A stepped shaft ACE is held against rotation at...Ch. 3 - A solid circulai' aluminum bar AB is fixed at both...Ch. 3 - Two sections of steel drill pipe, joined by bolted...Ch. 3 - A circular bar AB of length L is fixed against...Ch. 3 - A circular bar AB with ends fixed against rotation...Ch. 3 - A solid steel bar of diameter d1= 25.0 mm is...Ch. 3 - A solid steel bar of diameter d1= 1.50 in. is...Ch. 3 - The composite shaft shown in the figure is...Ch. 3 - The composite shaft shown in the figure is...Ch. 3 - A steel shaft (Gs= 80 GPa) of total length L = 3.0...Ch. 3 - A uniformly tapered aluminum-ally tube AB of...Ch. 3 - Two pipes {L, = 2.5 m and L, = 1.5 m) are joined...Ch. 3 - A solid circular bar of steel (G = 1L4 × 106 psi)...Ch. 3 - A solid circular bar of copper (G = 45 GPa) with...Ch. 3 - A stepped shaft of solid circular cross sections...Ch. 3 - A stepped shaft of solid circular cross sections...Ch. 3 - A circular tube AB is fixed at one end and free at...Ch. 3 - A cantilever bar of circular cross section and...Ch. 3 - Obtain a formula for the strain energy U of the...Ch. 3 - A statically indeterminate stepped shaft ACE is...Ch. 3 - Derive a formula for the strain energy U of the...Ch. 3 - A thin-walled hollow tube AB of conical shape has...Ch. 3 - A hollow circular tube A fits over the end of a...Ch. 3 - A heavy flywheel rotating at n revolutions per...Ch. 3 - A hollow circular tube having an inside diameter...Ch. 3 - A solid circular bar having diameter d is to be...Ch. 3 - A thin-walled aluminum tube of rectangular cross...Ch. 3 - A thin-walled steel tube of rectangular cross...Ch. 3 - A square tube section has side dimension of 20 in....Ch. 3 - A thin-walled circular tube and a solid circular...Ch. 3 - A thin-walled steel tube having an elliptical...Ch. 3 - Calculate the shear stress and the angle of twist...Ch. 3 - A torque T is applied to a thin-walled tube having...Ch. 3 - Compare the angle of twist 1 for a thin-walled...Ch. 3 - A tubular aluminum bar (G = 4 × 106 psi) of square...Ch. 3 - A thin tubular shaft with a circular cross section...Ch. 3 - A thin-walled rectangular tube has uniform...Ch. 3 - A long, thin-walled tapered tube AB with a...Ch. 3 - A stepped shaft consisting of solid circular...Ch. 3 - A stepped shaft with diameters D1= 40 mm and D2=...Ch. 3 - A full quarter-circular fillet is used at the...Ch. 3 - The stepped shaft shown in the figure is required...Ch. 3 - A stepped shaft (see figure) has diameter D2= 1.5...

Find more solutions based on key concepts

Show solutions Why should a toolpath be verified on the screen of a CAM system prior to creating the program code?

Precision Machining Technology (MindTap Course List)

Technician A says that seat belt webbing should be replaced if it is bowed. Technician B says that webbing does...

Automotive Technology: A Systems Approach (MindTap Course List)

When grouping data in a query, how do you restrict the output to only those groups satisfying some condition?

A Guide to SQL

Using the ERD from Problem 10, create the relational schema. (Create an appropriate collection of attributes fo...

Database Systems: Design, Implementation, & Management

According to Sun Tzu, what two key understandings must you achieve to be successful in battle?

Principles of Information Security (MindTap Course List)

What is a table, and what role does it play in the relational model?

Database Systems: Design, Implementation, & Management

Do you think that the VMI software is off-the-shelf or proprietary software? Why?

Fundamentals of Information Systems

What sort of legal, ethical, and social issues are raised when creating a robo-advice type of system? Do the bu...

Principles of Information Systems (MindTap Course List)

What technological barriers do companies face when trying to link networks that are located in different locati...

Fundamentals of Information Systems

State whether the following are true or false. a. Aeolian soils are transported and deposited by wind. b. Marbl...

Fundamentals of Geotechnical Engineering (MindTap Course List)

Normal repair and maintenance of an asset is an example of what? a. Revenue expenditure b. Capital expenditure ...

Cornerstones of Financial Accounting

What is the value of X if the given cash flow diagrams are equivalent? Assume i = 8%.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

Refer to Problem 2.C.1. Results of the sieve analysis for Soils A, B, and C are given below. To obtain a more r...

Principles of Geotechnical Engineering (MindTap Course List)

Construct the shear force and bending moment diagrams for the beam shown by the area method. Neglect the weight...

International Edition---engineering Mechanics: Statics, 4th Edition

A balloon is inflated from a negligible initial volume to a final volume of 200 cm3. How much work is done by t...

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

How might an organization create a security blueprint?

Management Of Information Security

The control circuit is connected to which lines for a three-phase motor starter?

Electric Motor Control

Make a material list of all types of switches and receptacles connected to Circuit A15.

EBK ELECTRICAL WIRING RESIDENTIAL

. What is the content of recycled fiber in the paper used by your school/college/ department? If recycled paper...

Solid Waste Engineering

Suggest three typical business situations where referential integrity avoids data problems.

Systems Analysis and Design (Shelly Cashman Series) (MindTap Course List)

True or False? The Ravigneaux gearset has one sun gear, two sets of planet gears, and two ring gears.

Automotive Technology

Content Management System Updates You are attempting to update your companys website using a content management...

Enhanced Discovering Computers 2017 (Shelly Cashman Series) (MindTap Course List)

A flat roof is subject to the following uniformly distributed loads: a dead load of 21 psf (pounds per square f...

Steel Design (Activate Learning with these NEW titles from Engineering!)

Why is a slight forward torch angle helpful for cutting?

Welding: Principles and Applications (MindTap Course List)

Determine the reactions at the supports for the beam shown. FIG.P3.12

Structural Analysis

If your motherboard supports ECC DDR3 memory, can you substitute non-ECC DDR3 memory?

A+ Guide to Hardware (Standalone Book) (MindTap Course List)

What kinds of alerts can you program your network monitor to send to IT staff when it detects specific, problem...

Network+ Guide to Networks (MindTap Course List)