Mechanical Production Technician  ·  Level 6
Engineering Mechanics Principles
Chapter 8: Torsion Theory in Mechanical Systems
📚 4 Topics
⚑ What you will be able to do

By the end of this chapter, you will be able to:

  • accurately calculate the torque of mechanical components based on job requirements
  • design shafts properly to meet specific job needs
  • create shaft designs that correctly fulfill the job requirements
  • determine the angle of twist of components accurately according to the job specifications

Mastering these skills will help you build safe and efficient mechanical systems that perform reliably in real-world engineering tasks.

Torsion is a fundamental concept in mechanical production, especially relevant to technicians working with rotating shafts and components subjected to twisting forces. Understanding torsion theory enables professionals to analyze stresses and design shafts that can safely transmit power without failure. In Kenya's manufacturing and automotive repair sectors, for example, accurate torsion analysis ensures reliability and safety in equipment ranging from motor vehicle drive shafts to industrial conveyor systems. This chapter introduces the principles of torsion and the methods for analyzing torque in mechanical systems.

8.1 Define Torsion

Torsion refers to the twisting of an object due to an applied torque or moment about its longitudinal axis. This mechanical phenomenon is critical in many production environments where shafts and rods transmit rotational power. Mechanical production technicians in Kenya frequently encounter torsion in various machines, such as lathe spindles or milling machine shafts, where understanding torsion helps prevent premature failure and maintain operational efficiency.

8.1.1 The Physical Meaning of Torsion

Torsion occurs when a shaft or structural member experiences a twisting force, causing shear stresses within the material. This force tries to rotate one end of the member relative to the other around its longitudinal axis. The amount of twist depends on the applied torque, the material's properties, and the geometry of the shaft. For instance, in a SACCO-owned workshop, technicians observe torsion effects when drive shafts of motorbikes twist under varying loads during operation.

8.1.2 Torsion in Mechanical Components

In mechanical systems, torsion primarily affects components like shafts, axles, and couplings. These parts must withstand twisting moments without permanent deformation or failure. The distribution of shear stress caused by torsion is not uniform; it varies from zero at the center axis to a maximum at the outer surface. For example, in a hospital's generator set, the shaft transmitting power to the alternator must resist torsion to ensure continuous electricity supply without breakdowns.

8.1.3 Material Response to Torsion

Different materials respond uniquely to torsional stresses depending on their shear modulus and ductility. Metals like steel used in production machinery parts exhibit elastic behavior up to a certain torque limit, beyond which plastic deformation occurs. Knowing this response helps technicians select appropriate materials and design shafts that operate safely within elastic limits. In agricultural machinery servicing, understanding torsion helps in choosing the right steel grade for tractor PTO shafts.

8.1.4 Importance of Torsion Analysis in Mechanical Production

Analyzing torsion allows technicians to predict the stress and angle of twist in shafts, enabling safer design and maintenance. It prevents failures that could lead to costly downtime or hazardous accidents. For example, in a county government's water pumping station, torsion analysis ensures the pump shaft withstands twisting forces generated by the motor, thus avoiding unscheduled repairs and service interruptions.

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🔒8.2 Torque Analysis

Torque analysis is essential for determining the twisting moment acting on a shaft or mechanical component. It involves calculating the magnitude of torque, understanding its sources, and assessing its effects on machine parts. Kenyan mechanical production tec…

🔒8.3 Analysis of Shafts

In mechanical production and maintenance across Kenya, shafts are fundamental components in transmitting power and torque between machine elements. Understanding how to analyse shafts arranged in series and parallel is essential for mechanical production techn…

🔒8.4 Determine Angle of Twist

The ability to determine the angle of twist in shafts is vital for mechanical production technicians responsible for ensuring mechanical systems operate within safe deformation limits. Excessive twisting can cause misalignment, vibration, and eventual failure…

Chapter Summary

This chapter introduced the concept of torsion as the twisting of a mechanical member caused by an applied torque, emphasizing its significance in engineering systems. Torque analysis was explored to understand how forces generate rotational effects on shafts and other components. The chapter then examined the behavior of shafts under torsion, distinguishing between those arranged in series and those arranged in parallel, each configuration affecting the distribution of torque and deformation differently. Methods to determine the angle of twist were discussed, providing insight into how shafts deform under applied loads. The engineers' torsion equation was presented as a fundamental tool for calculating shear stress, torque, and angle of twist in circular shafts. Overall, these principles form the foundation for designing and analyzing mechanical systems subjected to torsional loads.

Self-Assessment

🔒 PDFDownload this self-assessment, with answers

A. Written Assessment

  1. Define torsion in mechanical systems and explain its effect on a circular shaft. (4 marks)
  2. What is torque and how is it related to torsion in a shaft? (3 marks)
🔒20 more in this section.

Chapter Examination Questions

🔒 PDFDownload these examination questions, with worked answers

SECTION A (40 Marks) - Answer ALL Questions

  1. Define torsion and explain its significance in the design of mechanical shafts used in agricultural machinery. (4 marks)
  2. A shaft in a coffee processing plant is subjected to a torque of 1500 Nm. Explain how torque is analyzed in such mechanical systems. (4 marks)
🔒18 more in this section.

Chapter Practical Activities

Practical 1: Torque Measurement and Calculation on a Mild Steel Shaft

Mechanical Production Technician · Level 6
Engineering Mechanics Principles
PRACTICAL ASSESSMENT
TIME: 4 HOURS
⬇ PDFCandidate Instructions (Candidate Tool)

Type: Individual

INSTRUCTIONS TO CANDIDATE:
1.  You are required to perform the following task:
i.  Measure and calculate the torque applied on a mild steel shaft Ø30 mm x 100 mm length as per the provided working drawing.
2.  You have been provided with the following resources for the practical task:
Tools & EquipmentMaterials
Torque wrench (0-200 Nm range)Mild steel shaft Ø30 mm x 100 mm length
Dial gauge torque meterCotton waste
Vernier calipersApron/dustcoat
Steel rule 300 mmSafety boots
Scriber
Set of spanners
Clear safety goggles
Leather gloves
Cleaning brush
⬇ PDFResources Required (Cutting List)
S/NItemQuantity
1Mild steel shaft Ø30 mm x 100 mm length1 Pc per Candidate
2Torque wrench (0-200 Nm range)1 Pc per Candidate
3Dial gauge torque meter1 Pc per Candidate
4Vernier calipers1 Pc per Candidate
5Steel rule 300 mm1 Pc per Candidate
6Scriber1 Pc per Candidate
7Set of spanners1 Set per Candidate
8Clear safety goggles1 Pair per Candidate
9Leather gloves1 Pair per Candidate
10Cotton wasteEnough per Candidate
11Cleaning brush1 Pc per Candidate
12Apron/dustcoat1 Pc per Candidate
13Safety boots1 Pair per Candidate
⬇ PDFAssessor Guide
Items to be EvaluatedMarks AvailableMarks ObtainedComments
TASK 1: Safety and Preparation
Wore PPE: clear safety goggles, safety boots, leather gloves, apron/dustcoat
(Award 1 mark for each PPE worn or zero)
4
Ensured torque wrench and dial gauge torque meter are calibrated and in good working condition
(Award 2 marks for proper equipment check or zero)
2
Prepared operation plan including stepwise method for torque measurement
(Award 4 marks for clear and correct plan or zero)
4
Sub-Total10
TASK 2: Measurement and Torque Calculation
Measured shaft diameter accurately using vernier calipers
(Award 2 marks for correct measurement or zero)
2
Marked reference points on shaft using scriber and steel rule
(Award 2 marks for accurate marking or zero)
2
Mounted shaft correctly on test rig ensuring secure fitting
(Award 2 marks for proper mounting or zero)
2
Applied torque using torque wrench and recorded dial gauge readings
(Award 4 marks for correct procedure and accurate reading or zero)
4
Calculated applied torque using the recorded data and formula
(Award 4 marks for correct calculation and units or zero)
4
Sub-Total14
TASK 3: Housekeeping
Cleaned tools and work area using cotton waste and cleaning brush
(Award 1 mark for each cleaning activity or zero)
2
Returned tools and accessories to designated storage areas
(Award 1 mark for proper storage or zero)
1
Disposed waste materials in the correct bin
(Award 1 mark for correct disposal or zero)
1
Sub-Total4
PRODUCT CHECKLIST
Measured shaft diameter Ø30 mm ±0.02 mm
(Award 4 marks for meeting tolerance or zero)
4
Torque measurement recorded accurately within ±2 Nm of expected value
(Award 6 marks for accurate measurement or zero)
6
Correct torque value calculated with appropriate formula and units
(Award 6 marks for correct calculation or zero)
6
Sub-Total16
GRAND TOTAL44
ASSESSMENT OUTCOME:   ☐ Competent    ☐ Not Yet Competent (competent if at least 50%)

Practical 2: Shear Stress Analysis of a Circular Shaft under Torsion

Mechanical Production Technician · Level 6
Engineering Mechanics Principles
PRACTICAL ASSESSMENT
TIME: 4 HOURS
⬇ PDFCandidate Instructions (Candidate Tool)

Type: Individual

INSTRUCTIONS TO CANDIDATE:
1.  You are required to perform the following task:
i.  Determine the shear stress distribution in a mild steel circular shaft Ø40 mm x 150 mm subjected to torsion.
2.  You have been provided with the following resources for the practical task:
Tools & EquipmentMaterials
Vernier calipersMild steel circular shaft Ø40 mm x 150 mm length
Micrometer screw gaugeClear safety goggles
Dial gaugeSafety boots
ProtractorLeather gloves
Steel ruleApron/dust coat
ScriberCotton waste
Calculator
Torsion testing machine
⬇ PDFResources Required (Cutting List)
S/NItemQuantity
1Mild steel circular shaft Ø40 mm x 150 mm length1 Pc per Candidate
2Vernier calipers1 Pc per Candidate
3Micrometer screw gauge1 Pc per Candidate
4Dial gauge1 Pc per Candidate
5Protractor1 Pc per Candidate
6Torsion testing machine1 Pc per 5 Candidates
7Steel rule1 Pc per Candidate
8Scriber1 Pc per Candidate
9Calculator1 Pc per Candidate
10Clear safety goggles1 Pair per Candidate
11Safety boots1 Pair per Candidate
12Leather gloves1 Pair per Candidate
13Apron/dust coat1 Pc per Candidate
14Cotton wasteEnough per Candidate
15Broom and dustpan1 Set per Candidate
⬇ PDFAssessor Guide
Items to be EvaluatedMarks AvailableMarks ObtainedComments
TASK 1: Safety and Preparation
Wore all prescribed PPE: safety boots, clear goggles, leather gloves, apron/dust coat
(Award 1 mark for each correctly worn PPE)
4
Observed machine safety: ensured no speed change while torsion machine is running
(Award 1 mark for correct observation)
1
Prepared operation plan including tool selection and measurement steps
(Award 3 marks for a detailed and correct plan)
3
Mounted the shaft securely on the torsion testing machine
(Award 2 marks for proper mounting)
2
Measured and marked key points on the shaft using scriber and steel rule
(Award 2 marks for accurate marking)
2
Set up instruments (dial gauge, protractor) correctly for torsion measurement
(Award 2 marks for correct setup)
2
Sub-Total14
TASK 2: Execution and Measurement
Applied torsional load gradually using the torsion testing machine
(Award 3 marks for correct load application)
3
Recorded torque and angle of twist readings accurately
(Award 3 marks for accurate recording)
3
Measured diameter of shaft at multiple points using vernier calipers and micrometer
(Award 3 marks for precise measurement)
3
Calculated shear stress distribution using correct formula and given data
(Award 4 marks for correct calculation with units)
4
Interpreted results and identified maximum shear stress location
(Award 3 marks for correct interpretation)
3
Sub-Total16
TASK 3: Housekeeping
Cleaned the torsion testing machine and work area using cotton waste and broom
(Award 1 mark for cleaning)
1
Returned tools and accessories to their designated storage areas
(Award 1 mark for correct storage)
1
Disposed of waste materials in the correct bin
(Award 1 mark for proper disposal)
1
Sub-Total3
PRODUCT CHECKLIST
Shear stress distribution calculations correct with units and consistent with shaft diameter Ø40 mm and length 150 mm
(Award 10 marks for full correct calculations and presentation)
10
Measurements of shaft diameter within ±0.02 mm tolerance
(Award 4 marks for measurements within tolerance)
4
Accurate recording of torque and angle of twist per test plan
(Award 4 marks for correct data recording)
4
Clear and legible presentation of results including calculations and interpretation
(Award 3 marks for clarity and completeness)
3
Sub-Total21
GRAND TOTAL54
ASSESSMENT OUTCOME:   ☐ Competent    ☐ Not Yet Competent (competent if at least 50%)
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🔒Analysis and Calculation of Torque and Angle of Twist in Series Arranged ShaftsPractical 3
🔒Evaluation of Torque Distribution and Angle of Twist in Parallel ShaftsPractical 4
🔒Determination of Angle of Twist of a Mild Steel Shaft Under TorsionPractical 5
🔒Application of Engineers' Torsion Equation to Determine Torque and Shear Stress in a Mild Steel ShaftPractical 6
🔒Practical Torsion Test on a Mild Steel ShaftPractical 7
🔒Identification and Definition of Torsion in Mechanical SystemsPractical 8
🔒Design and layout of a shaft torsion system with series and parallel shaftsPractical 9
🔒Combined Torsion and Torque Analysis of a Mild Steel ShaftPractical 10
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Am I competent?

At the start of this chapter we promised you would be able to:

  • accurately calculate the torque of mechanical components based on job requirements
  • design shafts properly to meet specific job needs
  • create shaft designs that correctly fulfill the job requirements
  • determine the angle of twist of components accurately according to the job specifications

Tick each one you can genuinely do.

So, are you there yet?

You're competent when you can confidently do 50% or more of what this chapter promised.

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