BuyFind*arrow_forward*

6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 15, Problem 26P

Textbook Problem

198 views

15.24 through 15.31 Determine the member end moments and reactions for the frames shown in Figs. P15.24–P15.31 by using the slope-deflection method.

FIG. P15.26

To determine

Find the member end moments and reaction for the frames.

Fixed end moment:

Formula to calculate the fixed moment for UDL is

Formula to calculate the fixed moment for point load for equal length is

Calculation:

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

Show the free body diagram of the entire frame as in Figure 1.

Refer Figure 1,

Calculate the fixed end moment for *AC*.

Calculate the fixed end moment for *CA*.

Calculate the fixed end moment for *CD*.

Calculate the fixed end moment for *DC*.

Calculate the fixed end moment for *DB*.

Calculate the fixed end moment for *BD*.

Chord rotations:

Show the free body diagram of the chord rotation of the frame as in Figure 2.

Calculate the chord rotation of the frame *AC*.

Calculate the chord rotation of the frame *CD*.

Calculate the chord rotation of the frame *BD*.

Calculate the slope deflection equation for the member *AC*.

Calculate the slope deflection equation for the member *CA*.

Substitute *L*, and

Calculate the slope deflection equation for the member *CD*.

Substitute 0 for *L*, and

Calculate the slope deflection equation for the member *DC*.

Substitute 0 for *L*, and

Calculate the slope deflection equation for the member *DB*.

Substitute *L*, and

Calculate the slope deflection equation for the member *BD*.

Write the equilibrium equation as below.

Substitute equation (1) and equation (2) in above equation.

Write the equilibrium equation as below.

Substitute equation (3) and equation (4) in above equation.

Show the free body diagram of the frame due to sway force as in Figure 3.

Calculate the horizontal reaction at the member *AC* due to sway force by taking moment about point *A*.

Calculate the horizontal reaction at the member *BD* due to sway force by taking moment about point *B*.

Calculate the reaction of the support *C* and *D* due to sway force by considering the horizontal equilibrium

Structural Analysis

Show all chapter solutions

Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Solve Problem 15.2 for the loading shown in Fig....Ch. 15 - Solve Problem 15.4 for the loading shown in Fig....Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...Ch. 15 - Determine the reactions and draw the shear and...

Ch. 15 - 15.8 through 15.14 Determine the reactions and...Ch. 15 - 15.8 through 15.14 Determine the reactions and...Ch. 15 - 15.8 through 15.14 Determine the reactions and...Ch. 15 - 15.8 through 15.14 Determine the reactions and...Ch. 15 - Solve Problem 15.9 for the loading shown in Fig....Ch. 15 - Solve Problem 15.12 for the loading shown in Fig....Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - Solve Problem 15 .17 for the loading shown in Fig....Ch. 15 - Solve Problem 15.18 for the loading shown in Fig....Ch. 15 - Determine the member end moments and reactions for...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...Ch. 15 - 15.24 through 15.31 Determine the member end...

Find more solutions based on key concepts

Show solutions Solve Problem 8.4-7 by the ultimate strength method (use the tables in Part 8 of the Manual).

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

Repeat Problem 2.2 with the following results of a sieve analysis: 2.2 Following are the results of a sieve ana...

Fundamentals of Geotechnical Engineering (MindTap Course List)

Imagine that you and four of your classmates have measured the density of air and recorded the values shown in ...

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

Estimate the production of CO2 and CH4 during the anaerobic decomposition of ethanol. C2H6O.

Solid Waste Engineering

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)

Which fields are modified in IPv4 and IPv6 packets to help prioritize traffic for QoS?

Network+ Guide to Networks (MindTap Course List)

What is residual risk?

Principles of Information Security (MindTap Course List)

The DBMS does not guarantee that the semantic meaning of the transaction truly represents the real-world event....

Database Systems: Design, Implementation, & Management

The figure shows one-half of a universal coupling known as the Hooke's joint. The coupling is acted on by the t...

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

The component used to ensure that the mainshaft (output shaft) and main (speed) gear locked to it are rotating ...

Automotive Technology: A Systems Approach (MindTap Course List)

How did FPWR leverage C1viCRM to grow its donor base?

Fundamentals of Information Systems

Microsoft Project s powerful, but quite expensive. As a manager, how would you justify the purchase of this sof...

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

How is a composite entity represented in an ERD, and what is its function? Illustrate the Crows Foot notation.

Database Systems: Design, Implementation, & Management

Identify the key components that must be in place for an organization to get real value from its BI and analyti...

Fundamentals of Information Systems

A gas at T = 300 K and P = 1 bar is contained in a rigid, rectangular vessel that is 2 meters long, 1 meter wid...

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

Problem 10-86A Stock Dividends and Stock Splits Lance Products balance sheet includes total assets of $587,000 ...

Cornerstones of Financial Accounting

The NEC does not limit the number of lighting and receptacle outlets permitted on one branch circuit for reside...

EBK ELECTRICAL WIRING RESIDENTIAL

Find required distance d (in terms of L) so that rotation Ss= 0 is due to M and q loadings applied at the same ...

Mechanics of Materials (MindTap Course List)

What is a primary key? What is the primary key for each of the tables in the Colonial Adventure Tours database ...

A Guide to SQL

What machine tool is available with either horizontal or vertical spindle orientation and uses rotating cutting...

Precision Machining Technology (MindTap Course List)

Describe ways that team members collaborate.

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

Describe how pressure switches are connected to start and stop (a) small motors and (b) large motors.

Electric Motor Control

What should be done to remove rust, corrosion, pit ting, and scratches from the piston bore?

Automotive Technology

Based on your reading of the chapter and what you now know about the issues, list at least three other things C...

Management Of Information Security

What is open-source software? What are the benefits and drawbacks for a business that uses open-source software...

Principles of Information Systems (MindTap Course List)

What are some of the applications for the circular pattern in the flat position?

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)