BuyFindarrow_forward

Structural Analysis

6th Edition
KASSIMALI + 1 other
Publisher: Cengage,
ISBN: 9781337630931

Solutions

Chapter
Section
BuyFindarrow_forward

Structural Analysis

6th Edition
KASSIMALI + 1 other
Publisher: Cengage,
ISBN: 9781337630931
Chapter 4, Problem 45P
Textbook Problem
1 views

4.33 through 4.45 Determine the forces in the members identified by “×” of the truss shown by the method of sections.

Chapter 4, Problem 45P, 4.33 through 4.45 Determine the forces in the members identified by  of the truss shown by the

FIG. P4.45

To determine

Find the forces in the members IN, ID, and CD of the truss by the method of sections.

Explanation of Solution

Given information:

Apply the sign conventions for calculating reactions, forces and moments using the three equations of equilibrium as shown below.

  • For summation of forces along x-direction is equal to zero (Fx=0), consider the forces acting towards right side as positive (+) and the forces acting towards left side as negative ().
  • For summation of forces along y-direction is equal to zero (Fy=0), consider the upward force as positive (+) and the downward force as negative ().
  • For summation of moment about a point is equal to zero (Matapoint=0), consider the clockwise moment as negative and the counter clockwise moment as positive.

Method of sections:

The negative value of force in any member indicates compression (C) and the positive value of force in any member indicates Tension (T).

Calculation:

Show the section a-a and b-b on the truss as shown in Figure 1.

Refer Figure 1.

Consider the section a-a passing through the members CD, CI, IM, and MN.

Calculate the value of the angle θ as follows:

tanθ=1530θ=tan1(1530)θ=26.565°

Consider the vertical reaction at D as Dy.

Consider the horizontal and vertical reaction at A are Ax and Ay.

Take the sum of the forces in the vertical direction as zero.

Fy=0Ay+Dy=40+40+40+40+20Ay+Dy=180        (1)

Determine the reaction at support A using the relation;

MD=0[(Ay×90)+(40×60)+(40×30)(40×30)(40×60)(20×90)]=0(Ay×90)800=0Ay=80090Ay=20k

Take the sum of the forces in the horizontal direction as zero.

Fx=0Ax=0

Show the portion of the truss left to the section a-a as shown in Figure 2.

Refer Figure 2.

Consider the forces in the members CD, CI, IM and MN are denoted by FCD, FCI, FIM, and FMN.

Take the sum of the moments acting at M as zero.

MM=0(20×60)+(40×30)+FCD×30=0FCD=240030FCD=80k(C)

Consider the section b-b passing through members CD, DI, IN, and MN

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 4 Solutions

Structural Analysis
Show all chapter solutions
add
Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - Determine the force in each member of the truss...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - 4.6 through 4.28 Determine the force in each...Ch. 4 - Determine the force in each member of the truss...Ch. 4 - 4.30 and 4.31 Determine the force in each member...Ch. 4 - 4.30 and 4.31 Determine the force in each member...Ch. 4 - Determine the forces in the top chord member GH...Ch. 4 - Determine the forces in the members identified by...Ch. 4 - Determine the forces in the members identified by...Ch. 4 - 4.33 through 4.45 Determine the forces in the...Ch. 4 - Determine the forces in the members identified by...Ch. 4 - Determine the forces in the members identified by...Ch. 4 - Determine the forces in the members identified by...Ch. 4 - 4.33 through 4.45 Determine the forces in the...Ch. 4 - 4.33 through 4.45 Determine the forces in the...Ch. 4 - 4.33 through 4.45 Determine the forces in the...Ch. 4 - 4.33 through 4.45 Determine the forces in the...Ch. 4 - 4.33 through 4.45 Determine the forces in the...Ch. 4 - Determine the forces in the members identified by...Ch. 4 - 4.33 through 4.45 Determine the forces in the...Ch. 4 - 4.46 through 4.50 Determine the force in each...Ch. 4 - 4.46 through 4.50 Determine the force in each...Ch. 4 - 4.46 through 4.50 Determine the force in each...Ch. 4 - 4.51 through 4.55 Determine the force in each...Ch. 4 - 4.51 through 4.55 Determine the force in each...Ch. 4 - 4.51 through 4.55 Determine the force in each...Ch. 4 - 4.51 through 4.55 Determine the force in each...

Additional Engineering Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Collect information on the standard sizes of automobile tires. Create a list of these dimensions. What do the n...

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

Find the magnitudes of the pin reactions at A and C.

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

What is physical independence?

Database Systems: Design, Implementation, & Management

Because of current standards, head crashes no longer occur.

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

What is (are) the major alloying element(s) in 8730 steel?

Precision Machining Technology (MindTap Course List)

What are the issues associated with adopting a formal framework or model?

Principles of Information Security (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)

Why is it important to seek medical treatment for eye burns?

Welding: Principles and Applications (MindTap Course List)