Introductory Structural Analysis

The following video lectures are organized according to the sequence typical to a semester-long introductory structural analysis course. Visit our YouTube Channel to ask technical questions or leave comments.

1. Introduction

Statically Determinate Beams ( SA01U)(PDF)

Stability and Determinacy (SA02-A)(PDF) also see this Lecture (SA02)

Beams with one or more Internal Hinges (SA03)(PDF)(PDF in Serbian)

Zero-force Members in Trusses (SA05)

1.1 Distributed Loads

Part 1 (SA14)

Part 2 (SA14-1)

2. Two-dimensional Truss Analysis

Zero-force Members (SA05)

Method of Joints (SA04U)

Method of Sections (SA10)

Application: Method of Joints (SA36)

3. Shear and Moment in Beams

Introdution (SA06)

Shear and Moment Equations (SA07)

Drawing Shear and Moment Diagrams using Equations (SA08)

Drawing Shear and Moment Diagrams without the use of Equations (SA09)

4. Beam Deflection

Drawing the Elastic Curve Qualitatively (SA11)

4.1 Double Integration Method

Introduction (SA12)(PDF)(en français)

Part 1 (SA13)

Part 2 (SA13-2)

Part 3 (SA13-3)

Part 4 (SA13-4)

4.2 Conjugate Beam Method

Part 1 (SA15)

Part 2 (SA15-2)

4.3 Moment-Area Method (SA59)(PDF)

5. Influence Lines

Reaction Influence  (SA16)

Shear Influence Line (SA17)(PDF)

Moment Influence Line (SA18)

Influence Line in Trusses  (SA34)

Moving Load Series (SA35)

Moving Distributed Load (SA53)

Highway Bridge Loads (SA65)

6. Energy Methods (Displacement) 

Work-Energy Principle: Part 1 (SA19)

Work-Energy Principle: Part 2 (SA20)

Virtual Work Method: Trusses (SA21)

Virtual Work Method: Beams (SA22)

Virtual Work Method: Frames (SA23)

7. Force Method 

Force Method: Part 1 (SA24)

Force Method: Part 2 (SA25)

Force Method: Truss Analysis (SA26)

8. Slope-Deflection Method 

Overview (SA27)

Slope-Deflection Equations: Part 1 (SA28)

Slope-Deflection Equations: Part 2 (SA29)

Fixed-End Moments (SA30)

Slope-Deflection Equations: Part 3 (SA31)

Support Settlement (SA32)

Frame Analysis (SA33)

Analysis of a Building Frame Using Slope-Deflection Method (SA44)

8. Moment Distribution Method 

Introduction (SA37)

Beam Analysis: 1 (SA38)

Beam Analysis: 2 (SA39)

Frame Analysis: No Sidesway (SA40)

Frame Analysis: Sidesway 1 (SA41)

Frame Analysis: Sidesway 2 (SA42)

Analysis of a Building Frame using Moment Distribution Method (SA43)

9. Matrix Displacement Method

Introduction (SA45)

Continuous Beam with Joint Load (SA46)

Continuous Beam with Member Load (SA47)

2D Trusses (SA48)

2D Frames (Joint Loads) (SA49)

2D Frames (Member Loads) (SA50)

Analysis of a Building Frame using Displacement Method  (SA51)

Analysis of an Airplane Hangar Frame Subjected to wind Load (SA52)

iTruss: Truss Analyis Program (IT01)

iFrame: Beam and Frame Analyis Program (IT02)

Analysis of a Frame under Snow Load (SA66)(PDF)

10. Arches

Analysis of Three-hinged Arches (SA54)(PDF)

Analysis of a Three-hinged Arch Bridge (SA55)(PDF)

11. Influence Line for Indeterminate Structures

Moment Influence Line (SA56)

Reaction Influence Line (SA57)(Interactive Example)(PDF)

12. Tapered Beam Analysis

Derivation of the Slope-Deflection Equations (SA58a)(Interactive Example)(PDF)

Analysis of a Two-Span Beam using Slope-Deflection Method (SA58)(Interactive Example)(PDF)

13. Three-Moment Equation

Part I (beams with no settlement)(SA60)(PDF)

Part II (beams with settlement)(SA61)(PDF)

14. Cables

Introduction(SA62)(PDF)

Part I (Concentrated Loads)(SA63)(PDF)

Part II (Uniformly Distributed Loads)(SA64)