Understand how to analyse key elements like beams, frames and trusses under bending, shear, torsion and axial loading
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.
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.
Course Content
- Introduction –> 5 lectures • 11min.
- Static Equilibrium (Revision) –> 3 lectures • 8min.
- Equilibrium of Trusses –> 4 lectures • 16min.
- Equilibrium of Beams –> 10 lectures • 36min.
- Equilibrium of Frames –> 9 lectures • 33min.
- Geometric Properties of Sections –> 11 lectures • 44min.
- Beam Deflections –> 17 lectures • 1hr 27min.
- Truss Deflections –> 3 lectures • 11min.
- Shear in Beams –> 8 lectures • 30min.
- Force Method for Indeterminate Structures –> 4 lectures • 27min.
- Buckling of Columns –> 6 lectures • 27min.
- Torsion –> 13 lectures • 1hr 17min.
- Buckling of Beams –> 3 lectures • 16min.
Requirements
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 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)
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 to
- Friendly Q&A forum
- Udemy Certificate of Completion
- 30-day money back guarantee
The course covers the following core units and topics of Electricity and Magnetism:
1) Introduction
a) Identifying the main structural supports
b) Identifying the key structural elements
c) Understand the basics of how loads are transferred in common structures
2) Static Equilibrium (Revision)
a) Find the reactions for beams
b) Find the reactions for trusses
3) Equilibrium of Trusses
a) Method of joints
b) Method of sections
c) Stability of trusses
4) Equilibrium of Beams
a) Shear force and bending moment equations
b) Jumps in shear force and bending moment diagrams
c) Shear force and bending moment sign convention
d) Method of superposition
e) Shear force from the bending moment diagram
5) Equilibrium of Frames
a) Shear force and bending moment sign convention
b) Method of superposition
c) Shear force from the bending moment diagram
d) Stability of frames
e) Analysing frames with oblique members
6) Geometric Properties of Sections
a) Centroid of an area
b) Centroid of composite section
c) Centroid applied to force resultants
d) Second moment of area and the parallel axis theorem
e) Polar second moment of area
7) Beam Deflections
a) Flexure formula for bending stresses in beams
b) Curvature in Cartesian coordinates
c) Moment-curvature equation for Euler-Bernoulli beam
d) Euler-Bernoulli vs the Timoshenko beam
e) Moment area method
f) Conjugate beam method
g) Work and energy principles and the method of virtual work
8) Truss Deflections
a) Axial stresses in truss members
b) Principle of virtual work
9) Shear in Beams
a) Complementary shear stresses
b) Shear flow
c) Limitations of the shear formula
d) Shear center
10) Force Method for Indeterminate Structures
a) Force method for indeterminate beams
b) Force method for indeterminate frames
c) Force method for indeterminate trusses
11) Buckling of Columns
a) Braced columns
b) Un-braced columns
c) Columns with fixed-fixed and fixed-pinned boundary conditions
d) Effective length
e) Slenderness ratio
12) Torsion (Advanced Topic)
a) Torsion formula for circular shafts
b) Angle of twist and rate of twist in circular shafts
c) Torsion of thin-walled closed sections
d) Torsion of non-circular open sections
e) Torsion and warping of I-beams
13) Buckling of Beams (Advanced Topic)
a) Lateral torsional buckling of beams vs buckling of columns
b) Derivation of the critical buckling moment from the ODE