Master Structural Engineering (Structural Analysis)

Understand how to analyse key elements like beams, frames and trusses under bending, shear, torsion and axial loading

What you'll learn

Identify the common structural supports, elements and structures

Static equilibrium to find the reactions of beams and trusses

Find the member forces in trusses using the methods of joints and sections, and determine if a truss is stable

Draw the shear forces and bending moment diagrams for beams and apply the method of superposition

Equilibrium and stability of frames

Geometric properties of sections, including centroid and second moment of area using integration and the parallel axis theorem

Understand the difference between Euler-Bernoulli and Timoshenko beams

Deflections and stresses in beams using the flexure formula, moment-curvature relation, moment area method, conjugate beam method, and virtual work

Deflections in trusses using virtual work

Complementary shear stresses in beams, shear flow and the shear center

Force method for indeterminate beams, frames and trusses

Buckling analysis of columns using the Euler buckling load, effective length and slenderness ratio

Torsion and warping analysis of shafts, thin-walled closed sections and open sections, including I-beams

Lateral torsional buckling of beams and the critical buckling moment

Requirements

Basic physics or engineering mechanics (statics)

Description

This course is designed to make learning Structural Engineering ( Analysis) easy. It is well-arranged into targeted sections of focused lectures and extensive worked examples to give you a solid foundation while enhancing your understanding in key Structural Analysis topics.The course is ideal for:Current students who are taking structural engineering and want to get ahead of their classFirst year university engineering studentsAny person who has taken engineering a while ago and wants a quick refresher courseAny person who has an interest in structural engineering with a background in basic physics (mechanics)At the end of this course, you will have a strong foundation in one of the most important disciplines in Structural Engineering, which you will definitely require as a Structural Engineer. I welcome any questions and provide a friendly Q&A forum where I aim to respond to you in a timely manner. Enrol today and you will get:Lifetime access to refer back to the course whenever you need toFriendly Q&A forumUdemy Certificate of Completion30-day money back guaranteeThe course covers the following core units and topics of Electricity and Magnetism:1) Introductiona) Identifying the main structural supportsb) Identifying the key structural elementsc) Understand the basics of how loads are transferred in common structures2) Static Equilibrium (Revision)a) Find the reactions for beamsb) Find the reactions for trusses3) Equilibrium of Trussesa) Method of jointsb) Method of sectionsc) Stability of trusses4) Equilibrium of Beamsa) Shear force and bending moment equationsb) Jumps in shear force and bending moment diagramsc) Shear force and bending moment sign conventiond) Method of superpositione) Shear force from the bending moment diagram5) Equilibrium of Framesa) Shear force and bending moment sign conventionb) Method of superpositionc) Shear force from the bending moment diagramd) Stability of framese) Analysing frames with oblique members6) Geometric Properties of Sectionsa) Centroid of an areab) Centroid of composite sectionc) Centroid applied to force resultantsd) Second moment of area and the parallel axis theoreme) Polar second moment of area7) Beam Deflectionsa) Flexure formula for bending stresses in beamsb) Curvature in Cartesian coordinatesc) Moment-curvature equation for Euler-Bernoulli beamd) Euler-Bernoulli vs the Timoshenko beame) Moment area methodf) Conjugate beam methodg) Work and energy principles and the method of virtual work8) Truss Deflectionsa) Axial stresses in truss membersb) Principle of virtual work9) Shear in Beamsa) Complementary shear stressesb) Shear flowc) Limitations of the shear formulad) Shear center10) Force Method for Indeterminate Structuresa) Force method for indeterminate beamsb) Force method for indeterminate framesc) Force method for indeterminate trusses11) Buckling of Columnsa) Braced columnsb) Un-braced columnsc) Columns with fixed-fixed and fixed-pinned boundary conditionsd) Effective lengthe) Slenderness ratio12) Torsion (Advanced Topic)a) Torsion formula for circular shaftsb) Angle of twist and rate of twist in circular shaftsc) Torsion of thin-walled closed sectionsd) Torsion of non-circular open sectionse) Torsion and warping of I-beams13) Buckling of Beams (Advanced Topic)a) Lateral torsional buckling of beams vs buckling of columnsb) Derivation of the critical buckling moment from the ODE

Overview

Section 1: Introduction

Lecture 1 Course introduction

Lecture 2 Efficient way to study this course

Lecture 3 Structural supports

Lecture 4 Structural elements

Lecture 5 Load transfer in common structures

Section 2: Static Equilibrium (Revision)

Lecture 6 Static equilibrium method

Lecture 7 Worked example on simply supported beam

Lecture 8 Worked example on determinate truss

Section 3: Equilibrium of Trusses

Lecture 9 Method of joints

Lecture 10 Method of sections

Lecture 11 Worked example on the method of sections

Lecture 12 Stability of trusses

Section 4: Equilibrium of Beams

Lecture 13 Shear force and bending moment equations

Lecture 14 Jumps in shear force and bending moment diagrams

Lecture 15 Sign convention for shear force and bending moment diagrams

Lecture 16 Worked example on shear force and bending moment diagrams

Lecture 17 Worked example on shear force and bending moment diagrams

Lecture 18 Worked example on shear force and bending moment diagrams

Lecture 19 Worked example on shear force and bending moment diagrams

Lecture 20 Worked example on shear force and bending moment diagrams

Lecture 21 Method of superposition of bending moment diagrams

Lecture 22 Plotting the shear force from the bending moment diagram

Section 5: Equilibrium of Frames

Lecture 23 Shear force and bending moment diagram for frames, sign convention

Lecture 24 Worked example on shear force and bending moment diagrams for frames

Lecture 25 Worked example on shear force and bending moment diagrams for frames

Lecture 26 Worked example on shear force and bending moment diagrams for frames

Lecture 27 Method of superposition of bending moment diagrams

Lecture 28 Method of superposition of shear force diagrams

Lecture 29 Plotting the shear force from the bending moment diagram

Lecture 30 Stability of frames

Lecture 31 Analysing frames with oblique members

Section 6: Geometric Properties of Sections

Lecture 32 Centroid of an area

Lecture 33 Centroid of a composite section

Lecture 34 Worked example on the centroid of an area

Lecture 35 Worked example on the centroid of an area

Lecture 36 Centroid applied to force resultants

Lecture 37 Second moment of area

Lecture 38 Parallel axis theorem

Lecture 39 Worked example on the second moment of area and parallel axis theorem

Lecture 40 Worked example on the second moment of area and parallel axis theorem

Lecture 41 Worked example on the second moment of area

Lecture 42 Worked example on the polar second moment of area and parallel axis theorem

Section 7: Beam Deflections

Lecture 43 Flexure formula for bending stresses in beams

Lecture 44 Curvature in Cartesian coordinates and small rotation approximation

Lecture 45 Euler-Bernoulli beam and the moment-curvature equation

Lecture 46 Euler-Bernoulli vs Timoshenko beam, kinematics (part 1 of 2)

Lecture 47 Euler-Bernoulli vs Timoshenko beam, statics (part 2 of 2)

Lecture 48 Worked example on Euler-Bernoulli vs Timoshenko beam

Lecture 49 Worked example on Euler-Bernoulli vs Timoshenko beam

Lecture 50 Moment area method

Lecture 51 Worked example on moment area method

Lecture 52 Worked example on moment area method

Lecture 53 Worked example on moment area method

Lecture 54 Conjugate beam method

Lecture 55 Worked example on conjugate beam method

Lecture 56 Work and energy principles

Lecture 57 Virtual work method

Lecture 58 Linear bending moment diagrams using the virtual work method

Lecture 59 Worked example on the virtual work method

Section 8: Truss Deflections

Lecture 60 Axial stresses in truss members

Lecture 61 Virtual work method for trusses

Lecture 62 Worked example on the virtual work method for trusses

Section 9: Shear in Beams

Lecture 63 Shear formula for complementary shear stress in beams

Lecture 64 Worked example on complementary shear stress

Lecture 65 Complementary shear stress in beams with composite sections

Lecture 66 Shear flow

Lecture 67 Worked example on complementary shear stress in composite sections

Lecture 68 Limitations of the shear formula

Lecture 69 Shear center

Lecture 70 Worked example on the shear center

Section 10: Force Method for Indeterminate Structures

Lecture 71 Force method

Lecture 72 Worked example on the force method (indeterminate beam)

Lecture 73 Worked example on the force method (indeterminate frame)

Lecture 74 Worked example on the force method (indeterminate truss)

Section 11: Buckling of Columns

Lecture 75 Euler buckling load for braced columns

Lecture 76 Euler buckling load for unbraced columns

Lecture 77 Euler buckling load for columns with pinned-to-fixed supports

Lecture 78 Euler buckling load for columns with fixed-to-fixed supports

Lecture 79 Effective length

Lecture 80 Slenderness ratio

Section 12: Torsion

Lecture 81 Torsion formula for shear stresses in circular shafts

Lecture 82 Angle of twist and rate of twist of circular shafts

Lecture 83 Torsion of thin-walled closed sections

Lecture 84 Torsion of circular shafts, Cartesian displacements

Lecture 85 Stress and strain tensors in 3D

Lecture 86 Torsion and warping of non-circular shafts with open sections

Lecture 87 Equilibrium of a continuous body

Lecture 88 Torsion stress function and Laplace's equation

Lecture 89 Torque integral for non-circular open sections

Lecture 90 Summary and validation of the torsion problem

Lecture 91 Worked example on the torsion of a rectangular open section

Lecture 92 Warping function for I-beams

Lecture 93 Torsion ODE for I-beams

Section 13: Buckling of Beams

Lecture 94 Lateral torsional buckling of beams vs buckling of columns

Lecture 95 Lateral torsional buckling ODE and the critical buckling moment

Lecture 96 Worked example on the buckling of beams

Current students who are taking structural engineering and want to get ahead of their class,First year university engineering students,Any person who has taken engineering a while ago and wants a quick refresher course,Any person who has an interest in structural engineering with a background in basic physics (mechanics)