Truss Analysis in 7 Easy Steps
4.6 (93 ratings)
1,167 students enrolled

# Truss Analysis in 7 Easy Steps

Learn the method of joints and method of sections in 7 easy to follow steps. Includes sample problems and solutions.
Highest Rated
4.6 (93 ratings)
1,167 students enrolled
Last updated 12/2012
English
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This course includes
• 3 hours on-demand video
• Access on mobile and TV
• Certificate of Completion
Training 5 or more people?

What you'll learn
• Introducing an easy to understand, 7-step solution for the method of joints and the method of sections
• Thoroughly explaining how to identify all zero force members in a truss, using three important criteria
• Introducing an easy way to identify whether a member is in compression or in tension
• Demonstrating how to choose a proper cross section for finding the desired member forces
Requirements
• Must have completed the first course in calculus, or have some knowledge of vector algebra and an introductory course in physics
• Basic knowledge of statics analysis (forces and equilibrium)
Description

Truss Analysis is one of the most important topics in Statics, which is the first introductory in structural engineering curriculums.  Trusses are structures that are widely used in civil engineering applications, such as bridges, steel buildings and roof structures.  Trusses also appear in many mechanical and aerospace structures such as cranes, space structures, offshore platforms, and so on.

What is a Truss?

A truss is a structure usually consisting of straight members that are connected to each other at the two ends of each member.  All members of a truss structure are connected together with pin joints, such that for the purpose of the design of these structures we assume the joints cannot carry or resist any moments.  All external loads acting on a truss are assumed to be acting only at the joints, and therefore, all members of a truss are two-force members.

Why Must We Learn Truss Analysis?

First of all, if we plan to design and build a truss structure, such as a roof structure for carrying external loads, we need to find out how much load is carried by each member of the truss.  Secondly, in the case of an existing truss structure, we may need to replace one or a few members.  In this case, we need to find the internal forces carried by those few members within the truss structure.  In both instances, the objective is to figure out and decide whether the members can sustain the forces or not and what size members and what type of cross sections are required.

Types of Truss Analysis

There are two major methods of analysis for finding the internal forces in members of a truss; the Method of Joints, which is typically used for the case of creating a truss to handle external loads, and the Method of Sections, which is normally used when dealing modifying the internal members of an existing truss.  Both of these methods are based on the assumption that when a structure is in equilibrium, all pieces of the structure are also in equilibrium.

Course Structure

In this course, I will present a thorough overview of truss structures in the context of static analysis of structures.  I will provide you with an easy-to-follow, 7-step process for the Method of Joints and the Method of Sections.  Each of the 7 steps are clearly demonstrated in the presentation and sample problems, which I will walk through.

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Who this course is for:
• Anyone who wants to grasp a thorough understanding of how to find member forces in a truss structure
• All engineering students who are preparing for the Fundamental of Engineering Exam
• Practicing engineers who are looking for a refresher course in Statics and are particularly interested in the analysis of truss structures
• As a supplementary course for the students who are currently taking Statics and want to deeply understand the concept of truss analysis
Course content
Expand all 10 lectures 02:49:25
+ Introduction
1 lecture 07:34
This lecture provides you an overview of truss structures, what are the unique characteristics of a truss and differentiates a truss from other structures, and what are the objectives in Truss Analysis.  The difference between the Joint Method and the Method of Sections and the application of each method is articulated.  Several pictures of truss structures in real world are presented.
Preview 07:34
+ Method of Joints
4 lectures 01:34:09
A 7-step procedure for Truss Analysis using the Method of Joints is presented.   This step by step approach, not found in any text book,  is clearly explained through an example problem.  In addition a simple guideline for identifying zero force members in a truss, and how to determine the tensile or compressive nature of member forces, are presented.  This guideline makes it so easy to identify all zero force members.
Preview 13:15
An example problem that demonstrates how to apply the 7-step procedure, outlined in the lecture, is presented.  This example articulates the aforementioned step by step approach in a manner not presented in any textbook.
Method of Joints Example
07:37

An example of a truss with more than 10 members is presented. Using a Bamboo Pad, the application of joint method and the utilization of the 7-step approach is presented.  This includes the identification of all zero force members and thus, reducing the number of unknown members, and subsequently by drawing the free body diagram of each joint and applying the equations of equilibrium.  It is also demonstrated that as a general rule, it is not necessary to fins the external reaction forces  as a condition for finding the member forces.
Method of Joints Sample Problem 1
36:03
A more complicated and geometrically challenging truss problem is presented and again, by using a  Bamboo Pad and through the application of the 7-step procedure introduced earlier, all zero force members and other member forces are analyzed.
Method of Joints Sample Problem 2
37:14
+ Method of Sections
5 lectures 01:07:42
A 7-step procedure for Truss Analysis using the Method of Sections is presented.  This step by step approach, not found in any text book,  is clearly explained through an example problem. It is clearly explained in what specific cases this method should be used and the objectives for the utilization of this technique, vs the Method of Joints, are discussed.  Once again, the three step guideline formulated by the author,  for identifying zero force members in a truss, is presented.  The general procedure and the formulation are accompanied by an animation.
Method of Sections Overview
09:54
An example problem that demonstrates how to apply the 7-step procedure, outlined in the lecture, is presented.  This example articulates the step by step approach for the Section Method in a manner not presented in any textbook.
Method of Sections Example
10:03
An example of a truss with several members is presented. Using a Bamboo Pad, the application of section method and the utilization of the 7-step approach is presented.  This includes the identification of all zero force members and thus, reducing the number of unknown members. Subsequently by introducing an easy to understand approach for finding the most suitable cross section and presenting how to choose the most appropriate section of the truss drawing the free body diagram of each joint and applying the equations of equilibrium.  It is also demonstrated that, as a general rule, it is not necessary to find the external reaction forces  as a condition for finding the member forces. In particular a simple guideline for finding the member forces by using minimum number of equations is presented.
Method of Sections Sample Problem 1
13:08
Another  truss example is presented and by using a Bamboo Pad, the application of the 7 step for using the Method of Sections is further articulated.  A few valuable hits are offered that makes it so easy to understand and fully comprehend this technique.
Method of Sections Sample Problem 2
18:09
A complicated and challenging truss example developed by the author is presented that is an indeterminate structure.  However, using the proposed 7-step approach it is demonstrated how the desired member force can be easily calculated by using only one equation of equilibrium.  This example helps the students to develop a thorough understanding and appreciation of the 7-step approach presented in this course.
Method of Sections Sample Problem 3
16:28