# Course Title: Calculate force systems within simple beam structures

## Part B: Course Detail

Teaching Period: Term2 2013

Course Code: MATH5335C

Course Title: Calculate force systems within simple beam structures

School: 130T Vocational Engineering

Campus: City Campus

Program: C6114 - Advanced Diploma of Engineering

Course Contact: Program Manager

Course Contact Phone: +61 3 99254468

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

Name and Contact Details of All Other Relevant Staff

Andrew Kim
Tel: 9925 4295
Email: andrew.kim@rmit.edu.au

Nominal Hours: 40

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

MEM30012A Apply mathematical techniques in a manufacturing engineering or related environment (or equivalent)

Course Description

This unit covers understanding and calculating force systems within simple beam structures.

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: MEM30005A Calculate force systems within simple beam structures Element: 1. Determine the resultant and equilibrant of systems of coplanar forces Performance Criteria: 1.1. Calculate the magnitude and direction of the resultant and equilibrant of coplanar force systems. 1.2. Calculate the line of action of a resultant using the principle of Moment. Element: 2. Determine nominal sizes for a simple horizontal beam subject to a combination of uniform and point loading Performance Criteria: 2.1. Support reactions for a simply supported horizontal beam using the equations of equilibrium and including the moment effect of a couple are calculated. 2.2. The possible types of failure that need to be considered are determined. 2.3. Shear force and bending moment diagrams are drawn. 2.4. Bending stress is determined. 2.5. Calculations are completed to determine the nominal size for the beam. 2.6. Factors of safety are applied to finalise nominal size of beam.

Learning Outcomes

Not Applicable

Details of Learning Activities

Students will participate in a variety of teaching methods including: class room lecturing, problem solving with different data, parameters and applying mathmatical steps. Students will be educated to resolve problems and analyse the data available.

Learning activities will include:
• calculating and using trigonometry, transposition, algebraic formula
• drawing shear force and bending moment diagrams

Teaching Schedule

Please note: While your teacher will cover all the material in this schedule, the weekly teaching and assessment order is subject to change depending on class needs and availability of resources.

Week 1:
Introduction and overview of course
General principles

Week 2:
Force vectors- scalars, vectors additions of forces, addition of a system of coplanar forces,cartesian vectors, force vector directed along a line and DOT product.

Week 3:
Force vectors- scalars, vectors additions of forces, addition of a system of coplanar forces,cartesian vectors, force vector directed along a line and DOT product.
Force system resultants.

Week 4:
Force system resultants
Equilibrium of Rigid bodies.

Week 5:
Equilibrium of Rigid bodies.

Week 6:
Equilibrium of rigid body
Structural analysis-simple trusses-Methods of joints

Week 7:
Structural analysis-simple trusses-Methods of joints

Week 8:
Structural Analysis-simple trusses-Methods of joints
Force members-method of sections-Frames and machines.

Week 9:
Force members-method of sections-Frames and machines.
Geometric Properties -centroid-Moment of inertia

week 10:
Geometric Properties -centroid-Moment of inertia

Week 11:
Moment Diagrams- relationship between Distributed Load-shear and Moment.

Week 12:
Moment Diagrams- relationship between Distributed Load-shear and Moment.
Bending - Deformation of a straight member - The flexure Formula

Week 13:
Bending - Deformation of a straight member - The flexure Formula
Deflection of Beam by Formula Method and shear stress in Beam.

Week 14:
Deflection of Beam by Formula Method and shear stress in Beam.

Week 15:
Allowable stress, Factor of safety.
Assessment due.

Week 16:
Assessment - Examination (closed book).

Week 17:
Assessment Feedback.

Week 18:
Reassessment.

Learning Resources

Prescribed Texts

 Engineering Mechanics - Statics- By R.C.Hibbeler

References

 Mechanics of Material by R.C Hibbeler Engineering Mechanics - An introduction to statics, dynamics and strength of materials by ROGER KINSKY

Other Resources

All the class handouts, problem and solutions are available on Black Board.

Overview of Assessment

A person who demonstrates competency in this unit must be able to calculate force systems within simple beam structures. Competency in this unit cannot be claimed until all prerequisites have been satisfied.

The assessment is conducted in both theoretical and practical aspects of the course according to the performance criteria set in the National Training Package.
Assessment may incorporate a variety of methods including written/oral activities and demonstration of practical skills to the relevant industry standards.
Participants are advised that they are likely to be asked to personally demonstrate their assessment activities to their teacher/assessor.
Feedback will be provided throughout the course.To successfully complete this course you will be required to demonstrate competency in each assessment task
detailed under Assessment Tasks section of Course Guide Part B.

A person who demonstrates competency in this unit must be able to Calculate force systems within simple beam structures. Competency in this unit cannot be claimed until all prerequisites have been satisfied.

Assessment Task 1 - Written Assignment (40%)

Assessment Task 2 - Test (60%)

All assessment tasks need to be succesfully completed to demonstrate competence.Courses
delivered in accordance with competency-based assessment, but which also utilise graded
assessment.
CHD: Competent with High Distinction
CDI: Competent with Distinction
CC: Competent with Credit
NYC: Not Yet Competent
DNS: Did Not Submit for assessment

Assessment Matrix

 Assessment Task Elements Performance Criteria Written Assignment 1 2 1.1, 1.2 2.1, 2.2, 2.3, 2.4, 2.5, 2.6 Test 1 2 1.1, 1.2 2.1, 2.2, 2.3, 2.4, 2.5, 2.6

Other Information

Study and learning Support:
Study and Learning Centre (SLC) provides free learning and academic development advice to you.
Services offered by SLC to support your numeracy and literacy skills are:
assignment writing, thesis writing and study skills advice
maths and science developmental support and advice
English language development

Disability Liaison Unit:

If you are suffering from long-term medical condition or disability, you should contact Disability Liaison Unit to seek advice and support to complete your
studies.

Late submission:

If you require an Extension of Submittable Work (assignments, reports or project work etc.) for 7 calendar days or less (from the original due date) and have
valid reasons, you must complete and lodge an Application for Extension of Submittable Work (7 Calendar Days or less) form and lodge it with the Senior
Educator/ Program Manager.
The application must be lodged no later than one working day before the official due date. You will be notified within no more than 2 working days of the date
of lodgment as to whether the extension has been granted.

If you seek an Extension of Submittable Work for more than 7 calendar days (from the original due date) must lodge an Application for Special Consideration
form under the provisions of the Special Consideration Policy, preferably prior to, but no later than 2 working days after the official
due date.

Submittable Work (assignments, reports or project work etc.) submitted late without approval of an extension will not be accepted or marked.

Special consideration: