Last Updated  S012021 
BCS204S
Unit Name  Strength of Materials  Advanced Topics 
Unit Code  BCS204S 
Unit Duration  1 Semester 
Award 
Bachelor of Science (Engineering) Duration 3 years 
Year Level  Two 
Unit Creator / Reviewer  N/A 
Core/Elective:  Core 
Pre/Corequisites  BCS106S 
Credit Points 
3 Total Course Credit Points 81 (27 x 3) 
Mode of Delivery  Online or oncampus. 
Unit Workload  (Total student workload including “contact hours” = 10 hours per week; 5 hours per week for 24 week delivery) Prerecordings / Lecture – 1.5 hours Tutorial – 1.5 hours Guided labs / Group work / Assessments – 2 hours Personal Study recommended – 5 hours 
Unit Description and General Aims
The objective in presenting this unit is to impart to students the key components of study into the strength of materials, particularly the mechanics of structures and stress analysis, with an emphasis on advanced topics and analysis.
The subject matter covered in this unit will include mathematical models used to describe the effects of forces on simple structures under combined actions; the concepts of stress and strain transformation, Mohr circles and combined stresses and aspects of stability.
At the conclusion of this unit, students will have acquired the requisite specialised knowledge to undertake the design and analysis of many different structures. Furthermore, the acquisition of the information from this unit will provide students with a basis on which more advanced forms of analysis and design skills can be further developed in later units.
Learning Outcomes
On successful completion of this Unit, students are expected to be able to:
 Design structures for axial loads and direct shear and analyse shear stress in simple beams.
Bloom’s Level 6  Determine, assess and validate beam deflections and bending stresses/strains in composite beams.
Bloom’s Level 5  Design, analyse and interpret combined stresses in simple structures
Bloom’s Level 5  Design and specify simple column analysis and interpret results to provide solutions to specific problems.
Bloom’s Level 5  Analyse and assess statically indeterminate beams and trusses by the Flexibility (Force) method.
Bloom’s Level 4
Student assessment
Assessment Type  When assessed  Weighting (% of total unit marks)  Learning Outcomes Assessed 
Assessment 1 Type: Multichoice test / Group work / Short answer questions / Practical / Remote Lab / Simulation Example Topic: Tension, Compression, and Shear Stresses, Axially Loaded Members & Torsion, Beam Bending, Shear Stresses in Beams Students may complete a quiz with MCQ type answers and solve some simple equations to demonstrate a good understanding of the fundamental concepts. 
Due after Topic 3  15%  1 
Assessment 2 Type: Multichoice test / Group work / Short answer questions / Practical / Remote Lab / Simulation Example Topic: Stress Transformation, Deflections of beams & columns. Students may be asked to provide solutions to simple problems on various topics. 
Due after Topic 6  20%  2, 3 
Assessment 3 Type: Multichoice test / Group work / Short answer questions / Practical / Remote Lab / Simulation / Project Example Topics: Tension test of mildsteel and aluminium; Torsion test of mildsteel and aluminium; Impact test of mildsteel and aluminium; Bending test of steel/timber beams; Shear test of steel beam; and, Buckling test of steel column. Students may complete a quiz with MCQ type answers or solve some simple problems or use software to complete a practical. 
Due after Topic 9  20%  5 
Assessment 4 Type: Examination Example Topic: All topics with an emphasis on Logarithms and Matrices An examination with a mix of detailed report type questions and/or simple numerical problems to be completed in 3 hours 
Final Week  40%  1 to 5 
Attendance / Tutorial Participation Example: Presentation, discussion, group work, exercises, selfassessment/reflection, case study analysis, application. 
Continuous  5%  1 to 5 
Prescribed and Recommended Readings
Required textbook(s)
• R. C. Hibbeler, Mechanics of Materials, 10th Edition. Prentice Hall, 2018  ISBN 9781292178288
Reference Materials
• M. Gere, B. J. Goodno, Mechanics of Materials, 9^{th} Edition. Cengage, 2020  ISBN: 9780357377857
• F. P. Beer, Mechanics of Materials, 7th Edition. McGrawHill, 2014  ISBN: 9780073398235
Unit Content
One topic is delivered per contact week, with the exception of parttime 24week units, where one topic is delivered every two weeks.
Topic 1
Beam Bending
• Basics of bending
• Types of beams
• Graphical representation of SFD and BMD
• Bending deformation of a straight member
• Flexure (bending) formula
• Composite beams  transformed section method
• Composite beams (advanced topic)
• Doubly symmetric beams with inclined loads (advanced topic)
• Bending of unsymmetrical beams (advanced topic)
• Bending of unsymmetrical beams (direct method)
Topic 2
Shear Stresses in Beams
• Bending of beams  Shear Stress Theory
• Curvature of a beam
• Longitudinal stains in beams
• Normal stresses in beams
• Shear stresses in beams
• Shear stresses in beams of rectangular crosssection
• Shear stresses in beams of circular crosssection
• Shear stresses in the webs of beams with flanges
• Shear flow in builtup beams
• Beams with axial loads
Topic 3
ShearCentre Concept
• The shearcentre concept (advanced topic)
• Shear stresses in beams of thinwalled open cross sections
• Shear stresses in wideflange beams
• Shear centres of thinwalled open sections (advanced topic)
Topic 4
Stress and Strain Transformation
• Introduction to plain stresses
• Plane stresses
• Transformation of plane stresses
• Principal stresses and maximum shear stresses
• Mohr’s circle for plane stress
• Hook’s law for plane stress
• Triaxial stress
• Transformation of plane strain
Topic 5
Application of Plane Stresses
• Spherical Pressure Vessels
Stresses at the outer surface
Stresses at the Inner surface
Important points to note
• Cylindrical Pressure Vessels
Circumferential stress
Longitudinal stress
Stresses at the outer surface
Stresses at the Inner surface
• Maximum Stresses in Beams
Beams of Rectangular cross section
Wide flange beams
• Combined Loading
Method of analysis
Illustration of the method
Selection of critical points
Topic 6
Deflection of Beams Part 1
• Differential Equations of a Deflection Curve
Beams with small angles of Rotation
NonPrismatic Beams
Prismatic Beams
Exact Expression for Curvature
• Deflection by Integration of Bending Moment Equation
• Deflection by Integration of the Shear Force and Load Equation
• Method of Superposition
Tables of Superposition
Distributed Loads
Principles of Superposition
• MomentArea Method
Secondmoment area theorem
• Nonprismatic Beams
Topic 7
Deflections of beams Part 2
• External work and Strain Energy
• Strain Energy Density
• Elastic Strain Energy for Normal Stresses
• Elastic Strain Energy for Shearing Stresses
• Strain Energy for a general state of Stress
• Conservation of Energy
• Impact Loading
• Deflections produced by Impact
• Discontinuity Functions
Topic 8
Deflections of beams by energy methods
• Principles of Virtual work
• Method of Virtual forces applied to Trusses
• Method of Virtual forces applied to beams
• Castigliano’s Theorem
• Deflection by Castigliano’s Theorem
• Castigliano’s Theorem applied to Trusses
• Castigliano’s Theorem applied to Beams
• Deflection of Trusses by Unit Load method
• Temperature Effects
Topic 9
Statically Determinate and Indeterminate Beams
• Classification of Structures
• Statically Indeterminate Beams and Shafts
• Statically Indeterminate Beams and ShaftsMethod of Integration
• Statically Indeterminate Beams and ShaftsMomentArea Method
• Statically Indeterminate Beams & ShaftsMethod of Superposition
• Analysis of Statically Indeterminate Beams by Force method
• Analysis of Statically Indeterminate Trusses by Force method
Topic 10
Column buckling
• Introduction to Columns
• Buckling and Stability of Columns
• Columns with pinned ends
• Columns with other support conditions
• Columns with concentric loading
• Column with eccentric loading
• The Secant formula and applications for columns
• Elastic & Inelastic Behavior of Column
• Inelastic Buckling
Topic 11
Centroids and Moment of Inertia
• Centroids of Plane areas
• Centroids of Composite areas
• Moments of Inertia of Plane areas
• Radius of gyration
• Parallelaxis theorem for moment of Inertia
• Polar Moment of Inertia
• Products of Inertia
• Moment of Inertia of Inclined Axes
• Mass moment of Inertia
• Principal Axes
• Principal Points
• Principal moments of Inertia
Topic 12
Unit Review
In the final week, students will have an opportunity to review the contents covered so far. Opportunity will be provided for a review of students’ work and to clarify any outstanding issues.
Software/Hardware Used
Software

Software: SolidWorks

Version: N/A

Instructions: N/A

Additional resources or files: N/A
Hardware
 N/A