BuyFind*arrow_forward*

6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 6, Problem 57P

Textbook Problem

1451 views

6.57 and 6.58 Use the conjugate-beam method to determine the slope and deflection at point *D* of the beam shown in Figs. P6.31 and P6.32.

FIG. P6.31, P6.57

To determine

Find the slope *D* of the given beam using the conjugate-beam method.

The Young’s modulus (*E*) is 200 GPa.

The moment of inertia (*I*) is

**Calculation:**

Consider elastic modulus *E* of the beam is constant.

Show the free body diagram of the given beam as in Figure (1).

Refer Figure (1),

Consider upward is positive and downward is negative.

Consider clockwise is negative and counterclowise is positive.

Determine the support reaction at *A* using the Equation of equilibrium;

Determine the reaction at support *C* using the relation;

Show the reactions of the given beam as in Figure (2).

Refer Figure (2),

Determine the bending moment at *A*;

Determine the bending moment at *B*;

Determine the bending moment at *C*;

Show the

Show the

Consider counterclockwise is positive and clockwise is negative.

Take moment about *C*:

Determine the support reaction at *A* using the Equation of equilibrium;

Determine the shear force at *D* using the relation;

Here, *b* is the width and *h* is the height of the triangle.

Substitute

Determine the slope at *D* using the relation;

Substitute 200 GPa for *E* and *I*

Structural Analysis

Show all chapter solutions

Ch. 6 - 6.1 through 6.6 Determine the equations for slope...Ch. 6 - 6.1 through 6.6 Determine the equations for slope...Ch. 6 - Determine the equations for slope and deflection...Ch. 6 - Determine the equations for slope and deflection...Ch. 6 - 6.1 through 6.6 Determine the equations for slope...Ch. 6 - 6.1 through 6.6 Determine the equations for slope...Ch. 6 - Determine the slope and deflection at point B of...Ch. 6 - 6.7 and 6.8 Determine the slope and deflection at...Ch. 6 - Determine the slope and deflection at point B of...Ch. 6 - Determine the slope and deflection at point B of...

Ch. 6 - Determine the slope and deflection at point B of...Ch. 6 - Determine the slope and deflection at point B of...Ch. 6 - Determine the slope and deflection at point A of...Ch. 6 - Use the moment-area method to determine the slopes...Ch. 6 - 6.14 through 6.17 Use the moment-area method to...Ch. 6 - 6.14 through 6.17 Use the moment-area method to...Ch. 6 - 6.14 through 6.17 Use the moment-area method to...Ch. 6 - Determine the smallest moment of inertia I...Ch. 6 - Determine the smallest moment of inertia I...Ch. 6 - Determine the smallest moment of inertia I...Ch. 6 - 6.18 through 6.22 Determine the smallest moment of...Ch. 6 - 6.18 through 6.22 Determine the smallest moment of...Ch. 6 - 6.23 through 6.30 Determine the maximum deflection...Ch. 6 - 6.23 through 6.30 Determine the maximum deflection...Ch. 6 - 6.23 through 6.30 Determine the maximum deflection...Ch. 6 - 6.23 through 6.30 Determine the maximum deflection...Ch. 6 - Determine the maximum deflection for the beam...Ch. 6 - 6.23 through 6.30 Determine the maximum deflection...Ch. 6 - 6.23 through 6.30 Determine the maximum deflection...Ch. 6 - 6.23 through 6.30 Determine the maximum deflection...Ch. 6 - 6.31 and 6.32 Use the moment-area method to...Ch. 6 - Use the moment-area method to determine the slope...Ch. 6 - Use the moment-area method to determine the slopes...Ch. 6 - 6.33 and 6.34 Use the moment-area method to...Ch. 6 - Use the conjugate-beam method to determine the...Ch. 6 - Use the conjugate-beam method to determine the...Ch. 6 - Use the conjugate-beam method to determine the...Ch. 6 - Use the conjugate-beam method to determine the...Ch. 6 - 6.39 Determine the slope and deflection at point A...Ch. 6 - 6.40 through 6.43 Use the Conjugate-beam method to...Ch. 6 - Use the conjugate-beam method to determine the...Ch. 6 - 6.40 through 6.43 Use the Conjugate-beam method to...Ch. 6 - 6.40 through 6.43 Use the Conjugate-beam method to...Ch. 6 - 6.44 through 6.48 Using the conjugate-beam method,...Ch. 6 - 6.44 through 6.48 Using the conjugate-beam method,...Ch. 6 - 6.44 through 6.48 Using the conjugate-beam method,...Ch. 6 - Using the conjugate-beam method, determine the...Ch. 6 - Using the conjugate-beam method, determine the...Ch. 6 - 6.49 through 6.56 Determine the maximum deflection...Ch. 6 - 6.49 through 6.56 Determine the maximum deflection...Ch. 6 - 6.49 through 6.56 Determine the maximum deflection...Ch. 6 - Determine the maximum deflection for the beams...Ch. 6 - Determine the maximum deflection for the beams...Ch. 6 - 6.49 through 6.56 Determine the maximum deflection...Ch. 6 - 6.49 through 6.56 Determine the maximum deflection...Ch. 6 - 6.49 through 6.56 Determine the maximum deflection...Ch. 6 - 6.57 and 6.58 Use the conjugate-beam method to...Ch. 6 - Use the conjugate-beam method to determine the...Ch. 6 - 6.59 and 6.60 Use the conjugate-beam method to...Ch. 6 - 6.59 and 6.60 Use the conjugate-beam method to...

Find more solutions based on key concepts

Show solutions What does the integral sign represent?

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

A simply supported beam is subjected to a uniform service dead load of 1.0 kips/ft (including the weight of the...

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

Repeat Problem 2.11 with the following data. 2.11 The grain-size characteristics of a soil are given in the fol...

Principles of Geotechnical Engineering (MindTap Course List)

Using words and sketches, show how a bomb calorimeter is used to measure the heating value of a sample of RDF.

Solid Waste Engineering

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)

Cloud Services Public, Private, Hybrid, and Personal Clouds (IaaS) When deciding how to host data and apps on t...

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

What things might managers in an organization do that could unintentionally discourage innovation by their empl...

Fundamentals of Information Systems

While discussing the reasons the use of R-134a is being discontinued in some countries: Technician A says that ...

Automotive Technology

Explain the difference between a distributed database and distributed processing.

Database Systems: Design, Implementation, & Management

What is the difference between a threat agent and a threat?

Principles of Information Security (MindTap Course List)

A certain type of control connects electric heating units to a 120-volt supply or a 240-volt supply, depending ...

EBK ELECTRICAL WIRING RESIDENTIAL

In the conduit diagram shown in Figure 173, determine how many wires are in each conduit between each piece of ...

Electric Motor Control

A strain gage is installed in the longitudinal direction on the surface of an aluminum beverage can (see figure...

Mechanics of Materials (MindTap Course List)

A filtration system continuously removes water from a swimming pool, passes the water through filters, and then...

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

Band saw cutting speeds are given in _________.

Precision Machining Technology (MindTap Course List)

Give three examples of Smartphone operating system.

Fundamentals of Information Systems

Which transmission characteristic is never fully achieved? a. Latency b. Throughput c. Bit rate d. Bandwidth

Network+ Guide to Networks (MindTap Course List)

For the frame shown, determine the magnitude of the pin reaction at B. Neglect the weight of the frame.

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

Create a query to produce the total purchase per invoice, generating the results shown in Figure P7.16, sorted ...

Database Systems: Design, Implementation, & Management

An engine cranks slowly: Technician A says that a possible cause of the problem is poor starter circuit connect...

Automotive Technology: A Systems Approach (MindTap Course List)

Cross Sectional Analysis Cross sectional analysis entails comparing a company to its competitors. Required: Ind...

Cornerstones of Financial Accounting

What is the purpose of an EISP?

Management Of Information Security

How has the proliferation of mobile devices affected IT professionals?

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

You have been approached by the NSA to work in an information systems group that will use high-powered computer...

Principles of Information Systems (MindTap Course List)

Name three items that are manufactured using welding.

Welding: Principles and Applications (MindTap Course List)

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

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