BuyFind*arrow_forward*

6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 6, Problem 38P

Textbook Problem

264 views

Use the conjugate-beam method to determine the slope and deflection at point *B* of the beams shown in Figs. P6.9 through P6.12.

FIG. P6.12, P6.38

To determine

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

**Calculation:**

Consider the flexural rigidity *EI* of the beam is constant.

Show the given beam as in Figure (1).

Consider upward is positive and downward is negative.

Consider clockwise is negative and counterclockwise is positive.

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

Here, *w* is the uniformly distributed load and *a* is the distance.

Show the

Conjugate-beam method:

In the given beam system, point *A* is a fixed end and point *B* is free end. But in the conjugate-beam method the fixed end of a real beam becomes free and the free end of real beam changed into the fixed end.

Show the

Consider the external forces acting (left of *B*) upward on the free body diagram as positive.

The shear force at *B* of the conjugate beam is equal to the slope at *B* on the real beam.

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

Here, *b* is the width of parabolic and *h* is the intensity of the moment.

Substitute *a* for *b* and *h*.

Hence, the slope at *B* is

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 The grain size distributions of two soils, A and B are shown in Figure 2.25. Find the percentages of gravels, s...

Fundamentals of Geotechnical Engineering (MindTap Course List)

Repeat Problem 2.4 with the following data. 2.4 The following are the results of a sieve analysis. a. Determine...

Principles of Geotechnical Engineering (MindTap Course List)

A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. F...

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

How much natural gas do you need to burn to heat twenty gallons of water?

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

Using the energy content of the waste components given in Table P2-17, calculate the overall ener gy content of...

Solid Waste Engineering

Write the SQL code that will change the PROJ_NUM to 14 for employees who were hired before January 1, 1994, and...

Database Systems: Design, Implementation, & Management

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)

List and describe the three challenges in shaping policy.

Management Of Information Security

List the two basic knurl patterns.

Precision Machining Technology (MindTap Course List)

Brief Exercise 4-36 Cash Reporting Richter Industries has the following items: Currency $27,500 Customer checks...

Cornerstones of Financial Accounting

Think of an important problem you had to solve during the last few months. Describe how you used the problem-so...

Fundamentals of Information Systems

Many control systems have operating modes that can be accessed with a scan tool to control the operation of an ...

Automotive Technology

How could you use a community of practice to help you in your work or studies? How would you go about identifyi...

Principles of Information Systems (MindTap Course List)

Create the table that results from applying a UNION relational operator to the tables shown in Figure Q3.13.

Database Systems: Design, Implementation, & Management

Select the best answer for each of the following. AC magnets are made of laminated iron a. for better induction...

Electric Motor Control

Describe the transference strategy for controlling risk. Describe how outsourcing can be used for this purpose.

Principles of Information Security (MindTap Course List)

What is the purpose of an electrical symbol? __________

EBK ELECTRICAL WIRING RESIDENTIAL

A vertical bar consists of three prismatic segments A\, A,, and A3with cross-sectional areas of 6000 mm", 5000 ...

Mechanics of Materials (MindTap Course List)

reading (368) a. storage method in which the magnetic particles are aligned horizontally around a disks surface...

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

Define the types of roles, functions, and careers available in the field of information systems.

Fundamentals of Information Systems

Compare enterprise computing systems to transaction processing systems. Provide three examples of each type of ...

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

Ifa transmission does not have a dipstick, how do you check the level of the fluid?

Automotive Technology: A Systems Approach (MindTap Course List)

A surveyor sights a target at C from points A and B. recording the angles shown. Determine the magnitudes of th...

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

What is the function of protocols and services at the Network layer of the OSI model? a. To manage the flow of ...

Network+ Guide to Networks (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)

According to Table 2-2, what gauge wire size would be needed for a power tool that has a nameplate amperage of ...

Welding: Principles and Applications (MindTap Course List)