BuyFind*arrow_forward*

6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 12, Problem 6P

Textbook Problem

8 views

Determine the approximate axial forces, shears, and moments for all the members of the frames shown in Figs. P12.6 through P12.13 by using the portal method.

To determine

Find the approximate axial forces, shears, and moments for the all members of the frames using portal method.

**Given information:**

The axial force acting at point *E*

The axial force acting at point *C*

The horizontal distance of the member *AB*, *CD*, and *EF*

The vertical distance of the members *AC* and *BD*

The vertical distance of the members *CE* and *DF*

**Calculation:**

Insert the internal hinges at the midpoints of all the members of the given frame to obtain the simplified frame for approximate analysis.

Draw the simplified frame as in Figure (1).

For the calculation of column shears in the columns of the frame, pass an imaginary section *aa* through the columns just above the support level.

Draw the free body diagram of the frame portion above section *aa* as in Figure (2).

**Colum shears:**

Determine the column shears at the lower end using equilibrium equations.

Substitute 10 k for

The shear force at the lower end of the columns

Draw the free body diagram of frame with the column shear value at the lower end column as in Figure (3).

Determine the column shears at the upper end *CD* using equilibrium equations.

Substitute 10 k for

The shear force at the end of the column members *CE* and *DF*

Draw the free body diagram of frame with the column shear value at the member *CD* as in Figure (4).

**Column moments:**

Determine the moment at the column member *CE* and *DF*.

Substitute 5 k for

The moment at the column *CE* is equal to moment at the column *DF*. Therefore, the moment at the column member *CE* and *DF* is

The moment at the internal hinge of the horizontal member *EF* has the equal maginitude and opposite direction to the moment at the vertical column member *CE*.

Determine the moment at the column member *AC* and *BD*.

Take moment about the hinge in the member *AC*.

Substitute 12.5 k for *S* and 12 ft for

The moment at the column *AC* is equal to moment at the column *BD*. Therefore, the moment at the column member *AC* and *BD* is

Determine the moment at the member *CD* using the relation.

Substitute

The moment at the internal hinge of the horizontal member *CD* is

Draw the free body diagram of frame with the column moments as in Figure (5).

**Girder axial forces, moments, and shears:**

Determine the girder end action at the upper left end joint *E* using the relation.

Substitute 10 k for

Determine the vertical shear at the point *E*.

Take moment about hinge at the horizontal member *EF*.

Substitute *L*.

Determine the vertical shear at point *F* using the relation

Structural Analysis

Show all chapter solutions

Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...

Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - 12.6 through 12.13 Determine the approximate axial...Ch. 12 - 12.6 through 12.13 Determine the approximate axial...Ch. 12 - 12.14 through 12.21 Determine the approximate...Ch. 12 - 12.6 through 12.13 Determine the approximate axial...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...

Find more solutions based on key concepts

Show solutions The following values for a sand are given: D10 = 0.3 mm, D30 = 0.41 mm, and D60 = 0.77 mm. Determine Cu and Cc,...

Principles of Geotechnical Engineering (MindTap Course List)

Redo Problem 2.7 according to the AASHTO system (Table 2.3). 2.7 The particle characteristics of a soil are giv...

Fundamentals of Geotechnical Engineering (MindTap Course List)

Same scenario as Problem 1.5, but now you are asked to develop a zero waste program. That is, the community is ...

Solid Waste Engineering

Select a threaded rod to resist a service dead load of 45 kips and a service live load of 5 kips. Use A36 steel...

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

Write a function named Weight that when called in the command window will compute the weight in pound force bas...

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

Low fuel pressure can be caused by all of the following except. a. a clogged fuel filter b. a restricted fuel l...

Automotive Technology

Your 13-year-old nephew shows you a half-dozen or so innocent photos of himself and a brief biography, includin...

Fundamentals of Information Systems

How does data mining work? Discuss the different phases in the data mining process.

Database Systems: Design, Implementation, & Management

Describe the type(s) of relationship(s) between EMPLOYEE and STORE. (Hint: Each store employs many employees, o...

Database Systems: Design, Implementation, & Management

How does a planner know when a task has been subdivided to an adequate degree and can be classified as an actio...

Principles of Information Security (MindTap Course List)

The uniform ladder of weight W is raised slowly by applying a vertical force P to the rope at A. Show that P is...

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

What is the fundamental distinction between a Layer 2 switch and a router?

Network+ Guide to Networks (MindTap Course List)

Which of the following statements about seat belt retractors is not true? They stow away the scat belts when th...

Automotive Technology: A Systems Approach (MindTap Course List)

Why must a discharge resistor be connected in the field circuit for starting?

Electric Motor Control

Do research on the Web to find an example of an external audit that uncovered serious problems at an organizati...

Fundamentals of Information Systems

Would you continue to work for a company if you disagreed with the firmâ€™s mission statement? Why or why not?

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

The system is a large ship and its contents. The inside of the ship and the air outside the ship are at the sam...

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

Complete the connections in the following arrangement so that the lamp may be controlled from either 3-way swit...

EBK ELECTRICAL WIRING RESIDENTIAL

The shaft ABC shown in the figure is driven by a motor that delivers 300 kW at a rotational speed of 32 Hz. The...

Mechanics of Materials (MindTap Course List)

List features of e-book readers and wearable devices.

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

What does CBN stand for?

Precision Machining Technology (MindTap Course List)

Problem 4-563 Internal Control Procedures for Cash Receipts Sean and Liz Kimella are planning to open and opera...

Cornerstones of Financial Accounting

What are the characteristics of management based on the method described in the text as the popular approach" t...

Management Of Information Security

What is in-memory database processing, and what advantages does it provide?

Principles of Information Systems (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)

How can discontinuities in the root face be removed?

Welding: Principles and Applications (MindTap Course List)