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Structural Analysis I
The fundamental concepts and methods for the analysis of structural systems
Analysis of statically determinate and indeterminate structural systems including beams, trusses, and frames.
Engineering Mechanics (Statics) Review
Statically Determinate Beams
Shear and Moment Equations and Diagrams
Stability and Determinacy
Method of Joints
Method of Sections
Zero-force Members
Double Integration Method
Conjugate Beam Method
Moment Area Method
Virtual Work Method
Reaction, Shear, and Moment Influence Lines
The Force Method
Slope-Deflection Method
Moment Distribution Method
Arches and Cables
APPS: Complimentary Structural Analysis Application Programs
This course has been designed for undergraduate (civil) engineering students or those with an interest in developing a deeper understanding of introductory structural analysis concepts and methods. The lectures cover the essential concepts and methods of structural analysis and provide examples demonstrating their applications. The main topics discussed include: (1) statically determinate beam analysis; (2) truss analysis using the methods of joints and sections; (3) stability and determinacy; (4) shear and moment equations and diagrams in beams; (5) reaction, shear, and moment influence lines and their applications; (6) deflection in beams using classical techniques including the double integration method, the conjugate beam method, and the moment area method; (7) the use of the virtual work method for calculating deflection in beams, frames, and trusses; and (8) analysis of indeterminate structures using three classical techniques (the force method, the slope-deflection method, and the moment distribution method). The course contains video lectures, exercise problems and their solutions, and short quizzes. Our aim is to help our students learn fundamental structural analysis concepts; be able to analyze basic beam, truss, and frame structures; and have their questions answered in the context of the presented content. Please feel free to send us your technical questions as you go through the material. We are here to help. 1/15/2021
Are You Ready?
An Introduction to Structural Analysis
Two-dimensional Truss Analysis
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10
Statically Determinate Beams -
11
DeterminacyTest your understanding of the concepts discussed in Lecture 1.
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12
Stability and Determinacy in Trusses
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13
Stability and Determinacy
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14
Beams with one more more Internal Hinges
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15
Beam Analysis 1
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16
Beam Analysis 2
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17
Beam Analysis under Various Distributed Loads
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18
On the Sign Convention for Writing Equilibrium Equations -
19
Example 1
Calculate the support reactions for a statically determinate beam subjected to a partially distributed load.
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20
Example 2
Calculate the support reactions for a statically determinate beam with an overhang.
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21
Example 3
Calculate the support reactions for a statically determinate beam with an overhang subjected to a distributed load.
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22
Example 4
Calculate the support reactions for a simply supported beam subjected to a triangular distributed load.
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23
Example 5
Calculate the support reactions for a simply supported beam subjected to a trapezoidal distributed load.
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24
Example 6
The analysis of a statically determinate beam with internal hinges.
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25
Example 7
The analysis of a statically determinate beam with internal hinges.
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26
Example 8
The analysis of a statically determinate beam with internal hinges.
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27
Example 9
The analysis of a statically determinate beam with an internal hinge.
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28
Example 10
The analysis of a statically determinate beam with internal hinges.
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29
Example 11
The analysis of a statically determinate beam with internal hinges.
Shear and Moment in Beams
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30
Method of Joints
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31
Method of Joints 1
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32
Zero-force Members in Trusses
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33
A learning tool for identifying zero-force members in trusses
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34
Method of Sections
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35
Method of Sections - Case 1
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36
Method of Sections - Case 2
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37
Method of Sections - Case 3
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38
The Analysis of a Roof Truss
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39
Truss Analysis 1
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40
Review Session: Method of Joints
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41
Truss Analysis 2
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42
Example 1 (Method of Joints)
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43
Example 2 (Method of Joints)
Truss analysis using the method of joints.
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44
Example 3 (Method of Joints)
Truss analysis using the method of joints.
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45
Example 4 (Method of Joints)
Truss analysis using the method of joints.
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46
Example 5 (Method of Joints)
Truss analysis using the method of joints.
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47
Example 6 (Method of Joints)
The analysis of a statically determinate truss using the method of joints.
Deflection - Classical Techniques
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48
Shear Force and Bending Moment at a Point
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49
Shear Force and Bending Moment due to a Distributed Load
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50
Shear and Moment Equations (ST10)
Lecture Notes
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51
Shear and Moment Equations: Various Distributed Loads
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52
Shear Diagram (ST11)
Lecture Notes
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53
Moment Diagram
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54
Shear and Moment 1
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55
Review Session: Shear and Moment Diagrams (1)
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56
Shear and Moment 2
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57
Review Session: Shear and Moment Diagrams (2)
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58
Shear and Moment 3
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59
Shear and Moment 4
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60
Shear and Moment 5
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61
Shear and Moment Diagrams Solved Examples (PDF)
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62
Post-Knowledge Assessment Test
Influence Lines
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63
Deflection in Beams: Elastic Curve
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64
The Double Integration Method: Introduction (SA12)
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65
The Double Integration Method (Part 1)
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66
The Double Integration Method (Part 2)
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67
The Double Integration Method (Part 3)
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68
The Double Integration Method (Part 4)
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69
Double Integration Method
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70
The Conjugate Beam Method (Part 1)
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71
The Conjugate Beam Method (Part 2)
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72
Conjugate Beam Method
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73
The Moment-Area Method
Displacement via Energy Methods
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74
Reaction Influence Line
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75
Reaction Influence Line
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76
Shear Influence Line
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77
Shear Influence Line
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78
Moment Influence Line
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79
Moment Influence Line
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80
Influence Line for Truss Members
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81
Truss Influence Line: Moving Load Series
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82
Truss Influence Line: Moving Distributed Load
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83
Influence Line Application: A Short Span Bridge Analysis
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84
Influence Lines
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85
Influence Line: Floor Girder
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86
Post-Knowledge Assessment Test
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