# Course Title: Analyse force systems (basic)

## Part B: Course Detail

Teaching Period: Term1 2010

Course Code: CIVE5671

Course Title: Analyse force systems (basic)

School: 130T Vocational Engineering

Campus: City Campus

Program: C6093 - Advanced Diploma of Engineering Design

Course Contact: Program Manager

Course Contact Phone: +61 3 9925 4468

Course Contact Email: engineering-tafe@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Nominal Hours: 60

Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.

Pre-requisites and Co-requisites

EDX130B – Use technical mathematics (basic)

Course Description

This unit covers the competency to solve problems involving forces, moments and hydrostatic pressure on simple structures and carry out some basic stress, strain and deformation calculations.

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: EDX100B Analyse force systems (basic) Element: Solve simple problems involving systems of coplanar forces Calculate support reactions for simply supported horizontal beams using the equations of equilibrium. Calculate support reactions for cantilevers. Determine sizes for simple members subjected to direct normal, shear or bearing stress. Determine deformations due to axial stress/strain. Determine the centroid, second moment of area and radius of gyration of plane figures. Determine the bending stress in simple loaded beams subjected to bending. Calculate the deflection of simple loaded beams. Performance Criteria: 1.1 Forces can be represented by their rectangular components.1.2 The resultant and equilibrant of a coplanar concurrent force system can be determined.1.3 The principle of Static Equilibrium can be used to determine unknown forces (magnitude and/or direction) in concurrent force systems in equilibrium.1.4 The value of the resultant moment about a specific point ofa system of coplanar non-concurrent forces can be determined.1.5 Applied torque can be calculated.1.6 The moment of a couple can be determined.1.7 An equivalent force/couple system to replace the effect of a force or system of coplanar, non-concurrent forces can be determined.1.8 The line of action of a resultant of a parallel force system can be determined using the principle of moments.2.1 The support with a reaction in a known direction can be recognized and the direction described.2.2 A Free Body Diagram can be drawn of a loaded beam showing the support reactions.2.3 Support reactions (magnitude & direction) can be determined, using the principles of equilibrium.3.1 A Free Body Diagram can be drawn of a simple cantilever structure showing the moment and force support reactions.3.2 The force reaction (magnitude and direction) can be determined using the principle of static equilibrium of forces.3.3 The moment reaction can be determined using the principle of static equilibrium of moments.4.1 The difference between shear and normal stress can be explained.4.2 The possible types of failure that need to be considered in a given simple loaded structure can be explained.4.3 Calculations are completed to determine stress due to axial loads.4.4 Calculations are completed to determine stress due to direct shear loads.4.5 Calculations are completed to determine bearing stress.4.6 Calculations are completed to determine the nominal size of members subject to axial loads.4.7 Factors of Safety are applied in determining nominal sizes of members.5.1 Calculations are completed to determine strains and deformations in simple members subjected to axial loads.6.1 Given the dimensions of a section, the centroid, second moment of area and radius of gyration are calculated.7.1 Load, vertical shear force and bending moment diagrams are drawn for simple beams subjected to a combination of given point and uniformly distributed loads, in order to determine the maximum shear force and bending moment.7.2 The flexure formula is used to calculate the maximum compressive and maximum tensile bending stress in a beam.8.1 A standard table of deflection formulae is used to calculate the deflection of beams subjected to a combination of point and uniformly distributed loads.8.2 Extrapolation is used for determining the deflection of cantilever beams subjected to a part UDL.

Learning Outcomes

Refer to elements

Details of Learning Activities

Teacher-led :
• Demonstrate use of the interactive PowerPoint presentations re. bending moments (see Resources)
• Overview of bending theory of beams, construction of shear/bending moment diagrams and sample calculation of stress and deflection.
• Review notes and sample calculations in the course text relating to the manipulation of coplanar force systems
• Demonstrate the calculation process for support reactions using point loads and UDLs
• Illustrate selection of member sizes using Manufacturer’s charts and first principles
• Relate stress, strain and Young’s Modulus and hence determine axial deformation. Illustrate stress/strain curves for common materials used in the workplace.
• Review sample calculations in the course text on reaction forces for beams and cantilevers
• Explain the relevance of section properties in the design process using examples from industry

Student-based problem-solving :
Participate in individual problem solving activities completed to industry standard related to typical engineering workplace problems requiring:
• Solution of stress and deflection involving point loads and UDLs
• Determination of reactions for simply-supported and cantilever beams using point loads and UDLs
• Sizing of members subjected to normal, shear and bearing stress
• Calculation of section properties for symmetrical and non-symmetrical beams and compare with Manufacturer’s charts
• Combination and resolution of concurrent and non-concurrent coplanar force systems and application to workplace situations
• Determination of bending stress using beam properties from OneSteel charts and from first principles
Group activities
Working in pairs on a computer, students will develop responses to questions, and consider responses, in the PowerPoint presentations.

Teaching Schedule

See Online Learning Hub for details.

Learning Resources

Prescribed Texts

 Engineering Mechanics, Val Ivanhoff

References

Other Resources

Overview of Assessment

Assessment are conducted in both theoretical and practical aspects of the course according to the performance criteria set out in the National Training Package. Students are required to undertake summative assessments that bring together knowledge and skills. To successfully complete this course you will be required to demonstrate competency in each assessment tasks detailed under the Assessment Task Section.

Your assessment for this course will be marked using the following table:

NYC (<50%) Not Yet Competent

CAG (50-59%) Competent - Pass

CC (60-69%) Competent - Credit

CDI (70-79%) Competent - Distinction

CHD (80-100%) Competent - High Distinction

Assessment of this unit will involve completion of:
• Topic based Quizzes
• A two hour mid-semester written examination based on Elements 1 to 5
• A two hour end-of-semester written examination based on Elements 6 to 9

Assessment Matrix

Element Covered Assessment Task Proportion of Final Assessment Submission Time
1 - 8 Quizzes 25%
1 - 4 Mid-semester written examination 35% N/A
5 - 8 End-of-semester written examination 40% N/A

Other Information

The underpinning knowledge and skills for this course are listed in the accreditation document and are available upon request from your instructor

Course Overview: Access Course Overview