Structural Analysis I

Name: Structural Analysis I
Rating: 4.8 (537 reviews)

The fundamental concepts and methods for the analysis of structural systems

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Created byDr. Structure

Last updated 2/2026

English

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What you'll learn

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

Course content

16 sections • 133 lectures • 14h 0m total length

Force Vector9:03
Particle Equilibrium8:37
Rigid Body Equilibrium I9:43
Explain how a rigid body reaches static equilibrium by balancing net forces in x and y and by zeroing moment about a point, using moment arms and line of action.
Rigid Body Equilibrium II - Free-body Diagram 15:05
Rigid Body Equilibrium III - Free-body Diagram 27:50
Rigid Body Equilibrium IV - Free-body Diagram 37:51
Statically Determinate Beam Analysis8:25
Statics Review

Statically Determinate Beams6:10
Determinacy
Stability and Determinacy in Trusses16:21
Stability & Determinacy (Example 1)5:58
Stability & Determinacy (Example 2)12:12
Stability and Determinacy
Beams with one more more Internal Hinges5:17
Beam Analysis 1
Beam Analysis 2
Beam Analysis under Various Distributed Loads7:17
On the Sign Convention for Writing Equilibrium Equations6:02
Example 12:27
Calculate the support reactions for a statically determinate beam subjected to a partially distributed load.
Example 22:43
Calculate the support reactions for a statically determinate beam with an overhang.
Example 32:30
Calculate the support reactions for a statically determinate beam with an overhang subjected to a distributed load.
Example 42:48
Calculate the support reactions for a simply supported beam subjected to a triangular distributed load.
Example 51:57
Calculate the support reactions for a simply supported beam subjected to a trapezoidal distributed load.
Example 64:34
The analysis of a statically determinate beam with internal hinges.
Example 75:38
The analysis of a statically determinate beam with internal hinges.
Example 84:55
The analysis of a statically determinate beam with internal hinges.
Example 93:32
The analysis of a statically determinate beam with an internal hinge.
Example 104:12
The analysis of a statically determinate beam with internal hinges.
Example 114:21
The analysis of a statically determinate beam with internal hinges.

Method of Joints9:59
analyze statically determinate two-dimensional trusses using the method of joints, determine support reactions, and compute each member’s axial force as tension or compression.
Method of Joints 1
Zero-force Members in Trusses10:39
A learning tool for identifying zero-force members in trusses3:18
This video introduces an online tool designed to help students learn how to identify zero-force members in trusses without resorting to numerical calculations.
Interactive (Linked) Quiz: Zero-force Members1:15
Method of Sections7:27
Method of Sections - Case 14:47
Method of Sections - Case 23:14
Method of Sections - Case 34:07
The Analysis of a Roof Truss9:25
Truss Analysis 1
Review Session: Method of Joints6:50
Truss Analysis 2
Example 1 (Method of Joints)6:38
Example 2 (Method of Joints)5:37
Truss analysis using the method of joints.
Example 3 (Method of Joints)5:47
Truss analysis using the method of joints.
Example 4 (Method of Joints)7:11
Truss analysis using the method of joints.
Example 5 (Method of Joints)5:40
Truss analysis using the method of joints.
Example 6 (Method of Joints)6:38
The analysis of a statically determinate truss using the method of joints.

Shear Force and Bending Moment at a Point11:26
Shear Force and Bending Moment due to a Distributed Load9:24
Shear and Moment Equations (ST10)12:22
Lecture Notes
Shear and Moment Equations: Various Distributed Loads10:18
Example 1: Shear and Moment Equations3:55
Example 2: Shear and Moment Equations3:18
Example 3: Shear and Moment Equations5:50
Derive and apply shear and moment equations for a statically determinate beam by writing piecewise V(x) and M(x) for left, middle, and right segments.
Example 4: Shear and Moment Equations4:56
Example 5: Shear and Moment Equations6:00
Shear Diagram (ST11)11:44
Lecture Notes
Moment Diagram10:26
Example 6: Shear and Moment Diagrams10:30
Example 7: Shear and Moment Diagrams8:00
Example 8: Shear and Moment Diagrams5:31
Determine the beam’s shear and moment diagrams from area under the load diagram using support reactions, treating the beam as AB and BC, and identify the maximum moment at B.
Example 9: Shear and Moment Diagrams6:45
Shear and Moment 1
Review Session: Shear and Moment Diagrams (1)5:09
Shear and Moment 2
Review Session: Shear and Moment Diagrams (2)15:42
Shear and Moment 3
Shear and Moment 4
Shear and Moment 5
Shear and Moment Diagrams Solved Examples (PDF)0:40

Post-Knowledge Assessment Test0:33
Experimental AI-Powered Quiz (Shear Force 1)0:14
Experimental AI-Powered Quiz (Shear Force 2)0:14
Experimental AI-Powered Quiz (Shear Force 3)0:14
Experimental AI-Powered Quiz (Shear Force 4)0:14
Experimental AI-Powered Quiz (Shear Force 5)0:14
Experimental AI-Powered Quiz (Bending Moment 1)0:14
Experimental AI-Powered Quiz (Bending Moment 2)0:14
Experimental AI-Powered Quiz (Bending Moment 3)0:14
Experimental AI-Powered Quiz (Bending Moment 4)0:14
Experimental AI-Powered Quiz (Bending Moment 5)0:14

Deflection in Beams: Elastic Curve7:14
The Double Integration Method: Introduction (SA12)9:45
This lecture introduces the double integration method to compute beam deflection by relating slope theta to dv/dx, M, and EI, deriving the deflection equation for cantilever and simply supported beams.
The Double Integration Method (Part 1)4:29
Apply the double integration method to find beam deflection by integrating M/EI twice, and use the slope equation theta(x)=dv/dx with boundary conditions at a cantilever to solve for C1, C2.
The Double Integration Method (Part 2)5:48
The Double Integration Method (Part 3)4:42
The Double Integration Method (Part 4)3:17
Double Integration Method
The Conjugate Beam Method (Part 1)8:15
Use the conjugate beam method to compute deflection in a simply supported beam by treating M/EI as a distributed load and reading the conjugate moment.
The Conjugate Beam Method (Part 2)5:40
Conjugate Beam Method
The Moment-Area Method9:43

Reaction Influence Line9:07
Explore reaction influence lines for statically determinate beams, showing how a unit moving load changes B’s reaction and scaling to actual loads in cantilever, simply supported, and hinged beams.
Reaction Influence Line
Shear Influence Line12:35
Shear Influence Line
Moment Influence Line9:25
Moment Influence Line
Influence Line for Truss Members6:50
Truss Influence Line: Moving Load Series10:10
Truss Influence Line: Moving Distributed Load11:11
Analyze moving uniformly distributed loads on a truss bridge to determine maximum axial forces in the top chord, bottom chord, and inclined member BC using influence lines.
Influence Line Application: A Short Span Bridge Analysis28:33
Apply influence lines to determine maximum reactions, shear, and bending moments in a short-span bridge under permanent deck and girder self-weight and HL-93 transient loads.
Influence Lines
Influence Line: Floor Girder10:44

Requirements

Basic understanding of engineering statics, physics, algebra, and calculus.

Description

This course is crafted for undergraduate students specializing in civil/structural engineering and enthusiasts eager to gain a solid foundation in structural analysis. We delve into the core concepts and techniques fundamental to understanding structural behavior and analysis through comprehensive lectures. Our curriculum is designed to provide a practical approach to learning, with extensive examples that apply theoretical concepts to real-world scenarios.

Key topics covered in this course include:

Analysis of statically determinate beams.
Truss analysis using the methods of joints and sections.
Stability and determinacy.
Shear and moment equations and diagrams for beams.
Reaction, shear, and moment influence lines.
Beam deflection using classical techniques such as the double integration method, the conjugate beam method, and the moment area method.
Beam, frame, and truss deflection using the virtual work method.
Analysis of indeterminate structures using the force method, the slope-deflection method, and the moment distribution method.

The course features video lectures, hands-on exercise problems, and quizzes to reinforce learning and application of the covered concepts. We aim to empower students to confidently analyze basic structures, including beams, trusses, and frames, and apply the concepts learned in practical settings. We encourage you to ask any technical questions as you progress through the material. Our dedicated team is here to support your learning journey.

Who this course is for:

Undergraduate engineering students in civil, mechanical or related disciplines.

Structural Analysis I

What you'll learn

Explore related topics

Course content

A Brief Review of Selected Statics Topics7 lectures • 57min

Are you prepared for this course?6 lectures • 2min

An Introduction to Structural Analysis18 lectures • 1hr 39min

Two-dimensional Truss Analysis16 lectures • 1hr 39min

Shear and Moment in Beams18 lectures • 2hr 22min

Shear and Moment Knowledge Assessment11 lectures • 3min

Deflection - Classical Techniques9 lectures • 59min

Influence Lines8 lectures • 1hr 39min

Influence Lines Knowledge Assessment6 lectures • 2min

Displacement via Energy Methods5 lectures • 59min

Requirements

Description

Who this course is for: