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Machine Design: Fasteners, Shafts and Gears

A machine is built from small standard parts called machine elements. Fasteners (bolts, nuts, screws, rivets, pins) join parts. Shaft elements (shafts, keys, couplings, bearings) carry turning motion. Gears, belts and chains pass motion on; gear ratio = teeth on driven gear / teeth on driver gear.

🎬 Step-by-step story

  1. Here are two plates and a bolt. The plates are loose. A machine needs its parts joined.
  2. Put the bolt through and turn the nut. The nut moves along the thread and squeezes the plates tight.
  3. A shaft is a rod that spins. A small block called a key locks the blue pulley to the shaft so they turn together.
  4. Now two gears. The red gear has 12 teeth. The blue gear has 24 teeth. Their teeth fit into each other.
  5. Turn the red gear one full turn. The blue gear turns only half a turn, in the opposite direction. That is the gear ratio 1 : 2.
  6. Your turn. Change the number of teeth on the blue gear and watch the speed change.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Why do we need a nut at all?

The thread makes the nut slide along the bolt as it turns, pulling the two parts together with big force.

Why can the pulley not just be pushed on the shaft?

It would slip. The key sits in a slot of both and carries the turning force.

Why do the gears turn in opposite directions?

Where the teeth touch, one tooth pushes the other one down while it goes up on the other side.

Why does the big gear turn slower?

It has twice the teeth, so one turn of the small gear moves only half of the big gear.

What if I add more teeth to the driven gear?

It turns even slower and gives more turning force. Try the slider.

What is machine design?

A machine is a set of parts that work together to do a job. Machine design means choosing the right parts, their size and their material so the machine is safe, strong enough and not too costly. Designers reuse small standard parts called machine elements, so a part can be bought or replaced anywhere.

Fastening machine elements

Fasteners join parts.

Thread = a spiral groove. One turn of the nut moves it forward by the pitch.

Shaft-related machine elements

A shaft is a spinning rod that carries power. Parts on it:

Gear drives, belts and chains

A gear is a wheel with teeth. Two gears with teeth fitting together pass motion without slipping. The gear that is turned by the motor is the driver; the other is the driven gear. They turn in opposite directions.

Gear ratio = teeth on driven ÷ teeth on driver. Speed of driven = speed of driver ÷ ratio. A bigger ratio means slower speed but more turning force (torque).

Types: spur (straight teeth, simple), helical (slanted teeth, quiet), bevel (turns the direction by 90°), worm (big speed cut). A belt (flat or V) uses friction between belt and pulley; a chain uses links and toothed wheels, so it does not slip. Others: springs store energy, cams make a part move up and down, flywheels keep the speed even.

Key formulas and definitions

Worked examples

1. A driver gear has 20 teeth and the driven gear has 60 teeth. Find the gear ratio.

Ratio = 60 / 20 = 3. The driven gear turns 3 times slower.

2. The driver gear turns at 900 rpm. It has 15 teeth; the driven gear has 45 teeth. Find the speed of the driven gear.

Driven speed = 900 × 15 / 45 = 300 rpm.

3. A pulley of diameter 10 cm on a motor turns at 1200 rpm. It drives a pulley of diameter 30 cm by a belt. Find the speed of the big pulley.

N1 D1 = N2 D2, so N2 = 1200 × 10 / 30 = 400 rpm.

4. A bolt has pitch 1.5 mm. How far does the nut move along it in 8 full turns?

Distance = 8 × 1.5 = 12 mm.

Common mistakes

Practice quiz

1. Which part locks a pulley to a shaft?
2. A permanent fastener is a:
3. Driver 10 teeth, driven 40 teeth. The gear ratio is:
4. Which part lets a shaft spin with little friction?
5. Two meshing gears turn:

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

What are machine elements?

They are the small standard parts that machines are made from: fasteners, shafts, keys, bearings, gears, belts, springs and so on.

What is the difference between a bolt and a screw?

A bolt goes through plain holes and is tightened with a nut. A screw is turned into a threaded hole and needs no nut.

Why do we use gears?

Gears change speed and turning force and pass motion without slipping. A low speed gives a high turning force, like first gear on a vehicle.

Where this is taught

Japan高校(専門学科)1〜3年Machine Design and Fabrication
Japan高校(専門学科)1〜3年Machine Design

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