Bench Degree·FLUID POWERchapter

Appendix A: The Bench

The whole volume’s kit in one place. Every experiment in this book is on this list, so you should never have to stop mid-chapter and wait two days for a delivery. Each chapter names what it needs when it needs it and points back here; if you would rather order once and be done, order from this list.


Chapter 1 costs ten dollars, and it delivers the entire thesis of the book. The starter set that covers the first eight chapters is about eighty dollars, and a good deal of it is already in the house.

Nothing here is specified by brand or by part number. Every item is described by function, range or grade, so the list stays orderable from anyone, anywhere, for as long as the book exists. Suppliers change and a printed link dies permanently. A specification does not.


Section 1: The starter set, for Chapters 1 to 8

Item Specification Rough cost
Two plastic syringes One 5 mL and one 60 mL, no needles. Pharmacy, pet shop or hardware store. Buy spares; they are pennies. $4
Soft tubing 300 mm (12 in) of aquarium or silicone tube that is a tight push fit over both syringe tips. Take a syringe to the shop. $3
Hardback books Four or five, for the Chapter 1 press. Already in the house. owned
Digital kitchen scales Reading to 5 kg (11 lb) in 1 g steps. The force-measuring instrument for Chapters 1, 7 and 11. owned, or $12
Steel rule and tape measure Ordinary. Chapters 1, 5, 16 and 18 all need a length to a millimetre. owned
Vernier caliper 150 mm (6 in), digital or dial. The single most used instrument in this volume, because every calculation starts with a diameter. $15
Hose-bib pressure gauge 0 to 1,000 kPa (0 to 150 psi), with a female garden hose thread. Sold for testing domestic water pressure. Chapters 3, 7, 8, 12 and 20. $12
Bucket of known volume 10 litres (2.6 gal), marked. With a stopwatch this is your flow meter. owned
Stopwatch A phone. owned
Clear vinyl tubing 3 m (10 ft), 6 to 10 mm (0.25 to 0.4 in) bore, for the Chapter 5 manometer. $4
Garden hose 10 m (33 ft), plus a blanking cap and a tee fitting. Chapters 7, 8, 12 and 20. owned, or $15
Bicycle pump With a gauge if possible. It is a positive displacement pump you already own, and it appears in Chapters 1, 6, 10 and 21. owned
Digital luggage or fish scale To 50 kg (110 lb). Chapters 5 and 18 measure a force with it. $10
Infrared thermometer Chapter 8 measures a machine’s heat rejection from outside it with this. $20
Two plastic bottles, a pin, food colouring Chapter 5’s pressure-in-every-direction experiment. owned
Two different oils and a funnel Engine oil and light machine oil, for the Chapter 9 viscosity test. owned
Graph paper and a sharp pencil Chapters 7, 12 and 21 ask you to plot readings. Do it on paper; the shape is the point. $4

Starter set total: about $80, or nearer $45 if you already own a caliper, scales and a hose.


Section 2: Added for Chapters 10 to 21

Item Specification Rough cost
Hydraulic bottle jack 2 tonne (4,400 lb). The cheapest real high-pressure hydraulic machine there is: it runs at 27,750 kPa (4,025 psi) internally. Chapters 5, 14 and 15. $25
Axle stands A pair, rated well above your car’s corner weight. Required for Chapters 5 and 15, and not optional. A jack lifts; it does not support. $35
Small double-acting pneumatic cylinder 25 or 32 mm (1.0 or 1.25 in) bore, any stroke from 50 mm (2 in) up, two ports. New online, or free from a machine shop’s scrap bin. Chapter 11 measures its extend and retract force. $20
Push-fit air fittings and tube A few metres of 6 mm (0.24 in) tube and an assortment of fittings, plus a hand valve or three-way tap. $22
Brake fluid water tester Electronic pen type, or a pack of test strips. Chapter 18, and it takes five minutes. $15
Brake bleed kit Or simply a length of clear tube and a jar. Chapter 18. $8
McKibben muscle materials 300 mm (12 in) of expandable braided cable sleeving, 15 to 20 mm (0.6 to 0.8 in) nominal; 300 mm of latex or silicone tube to fit loosely inside it; two stainless hose clamps; a tyre valve or barbed fitting. Chapter 23, and it is one of the three experiments to do if you do only three. $15
Nitinol muscle wire 1 m (39 in) of 0.15 mm (0.006 in) diameter, from a hobby electronics or educational supplier. Chapter 23 measures the actuator with the best force-to-weight ratio ever built, and its fatal flaw. $12
Dial indicator and magnetic base Optional. Chapter 15’s load-holding leak test becomes a number instead of an impression. $25
Feeler gauges Optional, for measuring a scrap pump’s internal clearance in Chapter 10. $8

Second set total: about $185, or $120 without the axle stands, the dial indicator and the feeler gauges.


Section 3: The things to get free, and where from

Every one of these is worth more than something bought, and all of them are free for the asking.

Item Where Chapter
A dead hydraulic gear pump, or a car power steering pump Any scrapyard, garage or plant hire depot. Ask; they are waste. 9
A scrap hydraulic spool valve Same places. A single-spool log-splitter or tractor valve is about $40 new if nobody will give you one. 11
A used spin-on oil filter Any garage’s waste bin. Cut it open with a hacksaw. 12
A pressure cooker with a weighted vent Your own kitchen. It is a direct-acting relief valve and Chapter 12 computes its setting from the weight and the hole. 11
A real machine, and permission to look at it A hire shop, a farm, a garage, a plant depot, a friend with a log splitter or a zero-turn mower. 13, 15, 18, 19
A light aircraft, and its owner’s time A flying club or a small airfield. The most legible hydraulic circuit you will ever meet. 18

Asking is the skill here. Every experiment in Chapters 14, 16, 19 and 20 needs a machine you do not own, and in every case the required item is somebody’s permission rather than somebody’s money. Bring the question and no tools, ask before touching anything, and accept a refusal without argument.


Section 4: The one expensive thing, and whether you need it

An air compressor. A machine of 50 litres (13 gal) with a regulator and gauges costs $200 to $350.

You do not need one for Parts I, II or III, which is Chapters 1 to 8 and the entire physics of the subject. Everything there runs on syringes, a bicycle pump, a garden hose and a bottle jack.

Five experiments want one: the water measurement in Chapter 9, the pump-up and duty-cycle test in Chapter 10, the cylinder force measurement in Chapter 11, the draw-down and stored-energy calculation in Chapter 13, and the leak-rate and regulator tests in Chapter 17.

And all five can be done on somebody else’s compressor in a single afternoon. They are measurements rather than builds: a stopwatch, the tank’s sticker, a gauge and a set of scales. Borrow before buying, and if you do buy, buy for the work you actually have rather than for this book.

Two optional instruments worth naming, because they turn an impression into a number:

An ultrasonic leak detector, about $60, which finds compressed air leaks in seconds where soapy water takes an afternoon. Genuinely useful in any shop with air.

A brake pressure gauge that screws into a bleed nipple, about $40, which turns Chapter 18’s computed 7,750 kPa (1,124 psi) into a measured one. Borrow one from a workshop if you can.


Section 5: What you already own more of than you think

A bicycle pump is a positive displacement pump, and Chapter 6 uses it to prove that a pump makes flow rather than pressure, while Chapter 10 uses it to measure clearance-volume loss with nothing but a tyre and a count of strokes.

A pressure cooker is a relief valve whose setting you can compute from a weight and a hole, and whose pressure override you can watch on the stove.

Your car is a complete hydraulic system with a lever, a pneumatic booster, a tandem master cylinder, four actuators, a proportioning function and an accumulator-based anti-lock unit. Chapter 19 measures four numbers off it and computes the rest.

A garden hose and a tap are a hydraulic power unit, delivering about 133 W of fluid power, and they will demonstrate pressure drop, the orifice square-root law, container compliance and water hammer.

Your own lungs produce about 12 kPa (1.7 psi), which Chapter 5 measures with three metres of clear tube taped to a door frame, and which anchors every pressure in the book to something you generated yourself.

And a grease gun develops 70,000 to 100,000 kPa (10,000 to 14,500 psi), which makes it very probably the highest-pressure device in your building. Chapter 22 says why that matters. Do not experiment with it.


Section 6: The experiments, and where they are

Twenty-two, and the whole list fits on the kit above.

Experiment Chapter What it costs
The two-syringe press 1 about $10, and often nothing
One syringe, one thumb, two fluids 1 nothing
The shape of the vessel does not matter 2 nothing
Measure what a bubble costs 2 nothing
Build a weighted accumulator 3 nothing
Measure the fluid power at your own garden tap 3 $12
Read the plate on a real machine 4 nothing
Pressure in every direction, and depth is all that matters 5 nothing
Measure your own lung pressure, and calibrate your intuition for kPa 5 about $4
Predict the handle force on a bottle jack, then measure it 5 about $35, and both tools are worth owning
Prove the two are independent, with two syringes 6 nothing
A bicycle pump is a flow source 6 nothing
Measure the compressibility of water, and fail 7 nothing
How much of a hose is hose 7 about $15
Watts lost in a garden hose 8 $12, or nothing if you did Chapter 3’s experiment
Find the cooler on a real machine and read what it is doing 8 $20
Measure the water your compressor makes 9 nothing
Viscosity, hot and cold, with a funnel 9 nothing
Find out what your compressor actually delivers 10 nothing
The volumetric efficiency of a pump you already own 10 nothing
Take a scrap pump apart 10 nothing to about $10
Measure both directions on one cylinder 11 about $25 if you own a compressor
Work out a cylinder’s rod diameter without touching it 11 nothing
You already own a direct-acting relief valve 12 nothing
Confirm the square root law with a hose 12 nothing beyond the gauge from Chapter 3
Take a spool valve apart 12 nothing to about $40
Measure the draw-down and the stored energy of your own compressor 13 nothing
Cut open a used oil filter 13 nothing
Draw the two-syringe press as a proper circuit 14 nothing
Draw the bottle jack, and then the reference circuit 14 nothing
Find a real diagram and trace it 14 nothing
Make cavitation happen in your hand 15 nothing
Measure your own load-holding leakage 15 nothing
Measure a machine’s pump flow from outside it, with a tape measure and a stopwatch 16 nothing
Feel a pilot circuit, and find the holding valves 16 nothing
Find your own leak rate, in dollars 17 nothing
Turn the pressure down and see if anything notices 17 nothing
Compute your own car’s foot-to-pad ratio, then check the pressure 19 about $10
Feel the booster arrive, and measure the stored vacuum 19 nothing
Test your brake fluid for water, and bleed one caliper 19 about $30
Find and trace a hydrostatic transmission 20 nothing
The simplest complete aircraft hydraulic system 20 nothing
Water hammer in your own kitchen 21 nothing
Practise the cardboard drill at a pressure that cannot hurt you 22 nothing
Audit a real machine for stored energy 22 nothing
Build a McKibben artificial muscle for fifteen dollars 24 about $15
Feel the SMA bandwidth limit for yourself 24 about $12

The four in bold are the ones to do if you do only four, and they are named here rather than left to the formatting. The two-syringe press delivers the entire thesis of the book for about ten dollars. One syringe, one thumb, two fluids explains every spongy brake pedal ever felt. Computing your own car’s foot-to-pad ratio tells you a number about a machine you use every day that almost nobody knows about theirs. And the McKibben muscle puts a completely different kind of actuator in your hands, so that you understand what a cylinder’s flat force curve is actually worth.

Notice how many of them cost nothing. Thirty-two of the forty-seven need no purchase at all beyond the starter set, and a good many of those need nothing but a machine that already exists, a stopwatch, and permission to look at it. This is a cheap subject to learn honestly, and the expensive half of it is deliberately left to be read rather than built.


The safety gear, which is not optional

Wear this for the experiments the book says to wear it for. The reasons are on the Before You Start page at the front, and in the chapter that owns each experiment.

Item Specification Cost
Eye protection Any impact-rated safety glasses. Worn for every experiment involving pressure, and that includes the ones with a garden hose. $8
A piece of stiff cardboard and a stick For finding leaks. This is the most important tool in this book and it costs nothing. Chapter 22’s cardboard drill teaches the habit at a pressure that cannot hurt you. free

Section 7: Kits

A single collection covering the starter set and the McKibben materials, ordered once, is the obvious convenience and it is being worked on. When it exists it will be at benchdegree.com/kit/fluid-power, and that address is deliberately the only place it will be published: suppliers and product listings change, and a link printed in a book cannot be corrected. The specifications in this chapter can be taken to any supplier and will still make sense in twenty years.

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