Indeterminate axial members (Theory and examples)
Mechanics of Materials (Libre) Mechanics of Materials (Libre)
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 Published On Sep 7, 2021

What is an indeterminate structure and how it could be analyzed? This lecture discusses this concepts and explains how the compatibility of deformation could be used for analyzing (determining internal forces) of a system of axially loaded eleements.
The main learning outcomes are:
Distinguish between determinate and indeterminate structures
Identify the degree of indeterminacy in structures
Apply compatibility of deformation to analyze indeterminate axial elements

0:00 Introduction
0:46 Example of determinate and indeterminate axially loaded element
5:27 Compatibility of deformation
9:26 2nd example of indeterminate axially loaded element
10:01 2nd example - a determinate frame system
11:36 2nd example - an indeterminate frame system
11:48 2nd example - step 1: Equilibrium equations
13:30 2nd example - step 2: Force-displacement relation
14:32 2nd example - step 3: Compatibility of deformation
17:15 2nd example - step 4: Solve the system of equations
18:14 Degree of indeterminacy in typical engineering applications
19:20 Step-by-step algorithm

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