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 42P
Textbook Problem
231 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 42P, 4.33 through 4.45 Determine the forces in the members identified by  of the truss shown by the

FIG. P4.42

To determine

Find the forces in the members DG, EG, and EH 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 truss as shown in Figure 1.

Refer Figure 1.

Consider the section a-a passing through the members DG, DE, EF, and FH.

Calculate the value of the angle θ as follows:

tanθ=279θ=tan1(279)θ=71.565°

Consider the similar triangles IAC and IGH.

GHAC=927GH=927×ACGH=927×18GH=6ft

Consider the similar triangles IDF and IGH.

DFAC=1827GH=1827×ACGH=1827×18GH=12ft

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

Refer Figure 2.

Consider the forces in the members DG, DE, EF and FH are denoted by FDG, FDE, FEF, and FFH.

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

MF=0[(50×6)(30×18)(30×9)+FDGsin(71.565°)×9+FDGcos(71.565°)×9]=0510+8.538FDG+2.846FDG=0FDG=51011.384FDG=44.80k(T)

Take the sum of the vertical forces equal to zero.

Fy=0FDGsin(71

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
For the fin equation described in Problem 6.25, if the units of T, h, P, A, and x are expressed in degree Ranki...

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

Explain the differences between a Gantt chart and a PERT/CPM chart

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

What is an extranet and how is one used?

Principles of Information Systems (MindTap Course List)

How is an incident response plan different from a disaster recovery plan?

Principles of Information Security (MindTap Course List)

Why does the rotor for a CKP have one or more missing teeth?

Automotive Technology: A Systems Approach (MindTap Course List)

Identify types of desktop users and explain how each users computer needs may differ.

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

How does a welding transformer work?

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)