Mechanical Power Transmission Systems
Red Seal Practice study guide with diagrams.
Mechanical Power Transmission Systems
Chapter Introduction
This chapter covers all mechanical power transmission systems you must master for the Red Seal exam. As an industrial mechanic (millwright), you will be called upon to install, align, troubleshoot, and replace these components. The exam evaluates not only your ability to identify components, but also your understanding of physical principles, speed and torque calculations, alignment procedures, and safety requirements. This chapter is structured to follow a logical progression: from fundamental principles to practical applications, with special attention to common pitfalls.
Fundamental Principles of Power Transmission
Definition and Role
Mechanical power transmission is the set of devices that transfer mechanical energy from a source (electric motor, internal combustion engine, turbine) to a receiving machine (pump, compressor, conveyor). The role of the industrial mechanic is to ensure that this transmission occurs with optimal efficiency, minimal wear, and maximum safety.
Fundamental Parameters: Speed, Torque, and Power
Three physical quantities govern all transmission systems:
The fundamental relationship is:
P = T × Ω
Where Ω (omega) is the angular velocity in radians per second (rad/s). The conversion between RPM and rad/s is:
Ω = (2 × π × N) / 60
In practice, for quick calculations, you will often use:
P (kW) = T (N·m) × N (RPM) / 9550
P (hp) = T (lb·ft) × N (RPM) / 5252
Transmission Ratio
The transmission ratio (i) is the ratio between the input speed and the output speed of a system:
i = N₁ / N₂ = D₂ / D₁ = Z₂ / Z₁
Where:
Golden rule: in a transmission system, the product of torque × speed is constant (neglecting losses). If speed decreases, torque increases proportionally.
Drive Belts
Types of Belts
| Type | Characteristics | Typical Applications |
|---|---|---|
| **Flat belt** | Rectangular cross-section, large contact surface | High-speed machinery, long-distance transmission |
| **V-belt** | V-shaped cross-section, better grip in the groove | General purpose, conveyors, compressors |
| **Timing belt (synchronous)** | Teeth that mesh with the pulley, no slippage | Applications requiring exact synchronization (camshafts, printers) |
| **Poly-V belt (micro-V)** | Multiple longitudinal ribs, flexible | High-speed applications, compact spaces |
| **Round belt** | Circular cross-section, used in light systems | Small machines, low-power drives |
V-Belts: Designations and Dimensions
V-belts are designated by their cross-section (A, B, C, D, E) according to standards. The nominal dimensions are:
| Section | Width (mm) | Height (mm) | Typical Power Range |
|---|---|---|---|
| A | 13 | 8 | 0.5 to 7 kW |
| B | 17 | 11 | 1 to 15 kW |
| C | 22 | 14 | 5 to 40 kW |
| D | 32 | 19 | 15 to 100 kW |
| E | 38 | 23 | 30 to 200 kW |
Belt Length Calculation
For a V-belt, the pitch length (Lp) is calculated as:
Lp = 2C + (π/2) × (D₁ + D₂) + (D₂ − D₁)² / (4C)
Where:
Common pitfall: the pitch length is not the outside length. Belts are measured on their pitch diameter, which is located approximately at the centre of the cross-section.
Belt Tension
Correct tension is essential. A belt that is too loose will slip and overheat; a belt that is too tight will overload bearings and reduce service life.
Deflection method: apply a perpendicular force at the midpoint of the free span. The deflection should be approximately 1/64 of an inch per inch of free span (approximately 1.5 mm per 100 mm). The force to apply depends on the belt cross-section.
Rule of thumb: the deflection should be approximately equal to the belt thickness for correct tension.
Pulley Alignment
Pulley alignment is critical. Poor alignment causes premature wear, vibration, and power loss. Use:
Requirement: pulley faces must be in the same plane with a tolerance of ±0.5 mm for V-belts.
Drive Chains
Types of Chains
| Type | Characteristics | Applications |
|---|---|---|
| **Roller chain (ANSI)** | Most common, rollers on bushings | Conveyors, machine tools, industrial drives |
| **Bush chain** | Similar but without rollers | Low-speed applications |
| **Silent chain (inverted tooth)** | Flat teeth, quiet operation | High-speed, precision applications |
| **Lifting chain** | Oval links, high strength | Lifting, material handling |
Roller Chain Designations
ANSI chains are designated by a number: the first digit indicates the pitch in eighths of an inch, the second digit indicates the type (0 = standard, 1 = light, 5 = heavy).
Examples:
Chain Length Calculation
Chain length is expressed as the number of links. For a chain drive:
L = (2C/P) + (Z₁ + Z₂)/2 + (Z₂ − Z₁)² / (4π² × C/P)
Where:
Important rule: the number of links must be a whole number. If the calculation gives a fractional number, round up to the next whole number and adjust the centre distance.
Chain Tension and Alignment
The recommended sag for a chain is approximately 2 to 4% of the centre distance (measured at the midpoint of the free span). A tensioner may be necessary if the centre distance is not adjustable.
Alignment: sprockets must be in the same plane with a tolerance of ±0.25 mm. Angular misalignment of more than 1° is unacceptable.
Chain Lubrication
Lubrication is essential for service life. Methods range from manual lubrication (low speed) to oil bath or spray lubrication (high speed). The general rule:
Gears
Types of Gears
| Type | Characteristics | Applications |
|---|---|---|
| **Spur gear** | Teeth parallel to the axis, simple, noisy | Low and medium speeds |
| **Helical gear** | Inclined teeth, quiet operation, axial thrust | High speeds, power transmission |
| **Bevel gear** | Teeth on a cone, transmits at right angles | Angle drives |
| **Herringbone gear** | Double helix, no axial thrust | Very high power |
| **Worm gear and wheel** | High ratio, irreversible, low efficiency | Brakes, winches, lifting systems |
Gear Ratio and Torque
For a pair of gears:
i = Z₂ / Z₁ = N₁ / N₂
The output torque is:
T₂ = T₁ × i × η
Where η is the efficiency (typically 0.95 to 0.98 for spur gears, 0.85 to 0.90 for worm gears).
Backlash
Backlash is the space between the tooth flanks of two meshing gears. It is necessary to:
Typical backlash is 0.05 to 0.15 mm for standard industrial gears. Excessive backlash causes noise and shock loads; insufficient backlash causes overheating and rapid wear.
Gear Installation
When installing a pair of gears:
Couplings
Role and Classification
A coupling connects two shafts to transmit torque while compensating for alignment defects. Types include:
| Type | Compensation | Applications |
|---|---|---|
| **Rigid** | None | Perfectly aligned shafts |
| **Elastic (rubber, elastomer)** | Moderate misalignment, absorbs shock | Pumps, fans, compressors |
| **Gear** | Angular and parallel misalignment | High power, high speeds |
| **Bellows** | Small misalignment, high torque | Servomotors, precision machinery |
| **Spider (jaw)** | Moderate misalignment, easy to replace | Small and medium power |
| **Hydraulic** | Shock absorption, torque limiting | Shock-load applications |
Coupling Alignment
Alignment is one of the most critical operations in the trade. Methods:
Typical tolerances (according to ISO 1940 and manufacturer recommendations):
| Machine Type | Speed (RPM) | Max Parallel Misalignment | Max Angular Misalignment |
|---|---|---|---|
| Slow machines | < 1000 | 0.10 mm | 0.10 mm/100 mm |
| Medium machines | 1000-3600 | 0.05 mm | 0.05 mm/100 mm |
| Fast machines | > 3600 | 0.02 mm | 0.02 mm/100 mm |
Dial Indicator Alignment Procedure
Common pitfall: never align a machine cold when it operates hot. Thermal expansion moves the shaft; you must account for a "thermal offset" (usually provided by the manufacturer).
Gearboxes and Speed Reducers
Types of Reducers
| Type | Typical Ratio | Efficiency | Applications |
|---|---|---|---|
| **Spur gear reducer** | 2:1 to 10:1 | 95-98% | General purpose |
| **Helical gear reducer** | 5:1 to 50:1 | 94-97% | Conveyors, mixers |
| **Worm gear reducer** | 10:1 to 100:1 | 70-90% | Winches, positioners |
| **Planetary reducer** | 3:1 to 100:1 | 95-98% | Servomotors, robots |
| **Mechanical variable speed drive (PIV)** | Variable | 90-95% | Variable-speed machinery |
Calculating Reducer Output Torque
T₂ = T₁ × i × η
Example: a 5 kW motor at 1750 RPM drives a 20:1 reducer with 92% efficiency.
Checking Thermal Capacity
A reducer may be limited by its thermal capacity (heat dissipation) rather than its mechanical capacity. If the oil temperature exceeds 90 °C, you must:
Transmission Shafts and Bearings
Shafts
Transmission shafts transmit torque and support loads. Design criteria include:
Torsional stress:
τ = (16 × T) / (π × d³)
Where τ = shear stress (Pa), T = torque (N·m), d = shaft diameter (m).
Bearings
| Type | Radial Load | Axial Load | Speed | Applications |
|---|---|---|---|---|
| **Radial contact ball bearing** | Good | Low | Very high | Motors, pumps |
| **Cylindrical roller bearing** | Very good | Low | High | Gearboxes |
| **Tapered roller bearing** | Very good | Very good | Medium | Wheels, differentials |
| **Ball thrust bearing** | None | Very good | Medium | Vertical shafts |
| **Needle bearing** | Good | Low | Medium | Confined spaces |
Bearing Installation
Hot installation: heat the bearing in an oven or oil bath to 80-120 °C (never above 125 °C). Never use a torch directly on the bearing.
Cold installation: use a press or a mounting tube that presses on the inner race (never on the outer race for a shaft mounting).
Internal clearance: a bearing's internal clearance decreases when mounted with interference. Negative clearance (preload) can cause overheating.
Applicable Standards and Codes
Canadian Electrical Code (CE Code)
The Canadian Electrical Code, Part I (CE Code) (CSA C22.1) applies to electrical installations, including motors and their protection. Relevant points:
Although this code is electrical, the industrial mechanic must know these rules because you work in interface with motors.
CSA B149.1 (Natural Gas and Propane Installation Code)
This code applies to gas installations, including gas engines and compressors. Relevant points:
CSA Machinery Standards
Relevant ISO Standards
Safety Procedures
Lockout/Tagout
Before any intervention on a transmission system:
Machine Guards
All transmission elements (belts, chains, gears, couplings) must be protected by guards compliant with CSA Z432:
Rotor Balancing
Balancing is necessary for pulleys, rotors, and flywheels. The balancing quality G is defined by ISO 1940:
| Quality G | Typical Applications |
|---|---|
| G 6.3 | Fans, pumps, agricultural machinery |
| G 2.5 | Electric motors, turbines, machine tools |
| G 1.0 | Compressors, precision machinery |
| G 0.4 | Gyroscopes, high-precision spindles |
Pitfalls to Avoid
Summary
Self-Assessment Questions
(Answers: 1. 65.9 N·m; 2. 480 RPM; 3. 1275 N·m; 4. 12 to 24 mm; 5. 0.05 mm parallel, 0.05 mm/100 mm angular; 6. 125%)
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