BIZOMAT MAKEOS · Manufacturing

Stock Removal Plan (Bar Volume, Chips, Machining Time, Power)

How much of this bar blank turns into chips, how long does it take to remove at my cutting conditions, and does the machine have the power?

Plan for machining a part from round bar: stock volume and mass from the bar diameter and cut length (as the solid volume tool), the material removed for the finished part volume and the material yield, the metal removal rate, cutting and motor power from the specific cutting force (as the turning power tool), the cutting time to remove the stock, and the stock cost, checked against the machine power and your least yield.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Bar diametermmDiameter of the bar stock.
Cut length of the blankmmLength of bar cut for one part, including facing and parting allowances.
Finished part volumecm³Volume of the finished part (from CAD).
Densitykg/m³Density of the material.
Bar price$/kgPrice of the bar.
Cutting
Cutting speedm/minCutting speed for roughing.
Feedmm/revFeed per revolution.
Depth of cutmmDepth of cut.
Specific cutting force kcN/mm²Specific cutting force of the material.
Machine efficiency%Efficiency of the spindle drive.
Available spindle powerkWSpindle power.
Least material yield%Least share of the bought material that ends up in the part.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Bar diameter
Illustration: Bar diameterA circle with a line straight through its centre from edge to edge, marking the diameter Bar diameter.Dmeasured acrossthe centreExample: 60 mmBar diameter
What it is
The diameter of the round bar stock the part is machined from.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 5000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 60 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Stock volume, mass and cost rise with the square of the bar diameter.
Get it right
Use the actual bar size you buy, which is often a little larger than the largest finished diameter.
What this means: Cut length of the blank
Illustration: Cut length of the blankA bar with a dimension line and arrows from one end to the other, marking the length Cut length of the blank.LExample: 100 mmCut length of the blank
What it is
The length of bar cut off for one part, including the facing allowance, the parting width and any length held in the chuck.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 100000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 100 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Stock volume, mass and cost rise in direct proportion to the cut length.
Get it right
Include the parting and facing allowances, not just the finished part length.
What this means: Finished part volume
Illustration: Finished part volumeA box drawn in three dimensions; the space it encloses is the volume Finished part volume.VfExample: 150 cm³Finished part volume
What it is
The volume of material left in the finished part, normally read from the CAD model.
Units and format
Enter a number in cm³: cubic centimetres. The form accepts 0 cm³ to 100000000 cm³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 150 cm³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger finished volume means less material removed, a shorter cutting time and a higher yield.
Get it right
Enter cubic centimetres, not mm³: 1 cm³ = 1000 mm³.
What this means: Density
Illustration: DensityA cube of material: density Density is its mass divided by the volume it fills.massvolumeρExample: 7850 kg/m³Density
What it is
The density of the bar material, used to turn the stock and chip volumes into masses.
Units and format
Enter a number in kg/m³: kilograms per cubic metre. The form accepts 0.000001 kg/m³ to 20000 kg/m³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 7850 kg/m³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Stock mass, chip mass and stock cost rise in direct proportion to density.
What this means: Bar price
Illustration: Bar priceA price tag on one unit of measure; Bar price is the cost for each unit (per hour, per kilogram and so on).pcost foreach unitExample: $3/kgBar price
What it is
The price per kilogram of the bar, from your supplier quotation or stock price list.
Units and format
Enter a number in $/kg: money per kilogram. The form accepts $0/kg to $10000/kg. Required: the tool does not calculate until every input is valid.
Example
The form opens with $3/kg as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The stock cost rises in direct proportion to the price.
Get it right
If you buy by the metre, divide the price per metre by the mass per metre.

Cutting

What this means: Cutting speed
Illustration: Cutting speedA marker moving along a track; Cutting speed is the distance it covers per unit of time.vcdistance ÷ timeExample: 200 m/minCutting speed
What it is
The roughing cutting speed at the tool edge, from the insert maker’s data for this material.
Units and format
Enter a number in m/min: metres per minute. The form accepts 0.000001 m/min to 5000 m/min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 200 m/min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Removal rate and power rise in direct proportion to cutting speed, and the cutting time falls.
Get it right
Enter metres per minute, not spindle speed in rpm.
What this means: Feed
Illustration: FeedA cutting tool moving along a turning workpiece; Feed is how far the tool advances for each revolution or tooth.fadvance perrev or toothExample: 0.3 mm/revFeed
What it is
The feed of the tool for each revolution of the part when roughing.
Units and format
Enter a number in mm/rev: millimetres per revolution. The form accepts 0.000001 mm/rev to 10 mm/rev. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.3 mm/rev as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Removal rate and power rise in direct proportion to feed, and the cutting time falls.
Get it right
Feed per revolution, not per minute.
What this means: Depth of cut
Illustration: Depth of cutA surface with a step cut into it and a dimension from the original surface down to the bottom of the step, marking Depth of cut.aporiginal surfaceExample: 3 mmDepth of cut
What it is
The radial depth of each roughing cut, measured from the surface before the cut to the surface after it.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 100 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Removal rate and power rise in direct proportion to depth of cut, and the cutting time falls.
Get it right
Depth of cut is on the radius; the diameter shrinks by twice this per pass.
What this means: Specific cutting force kc
Illustration: Specific cutting force kcA test bar pulled from both ends: stress Specific cutting force kc is the force carried by each square millimetre of its cross-section.kcstress = force ÷ areaExample: 2000 N/mm²Specific cutting force kc
What it is
The specific cutting force of the material: the cutting force per square millimetre of chip section, from the tool maker’s data.
Units and format
Enter a number in N/mm²: newtons per square millimetre (equal to MPa). The form accepts 0.000001 N/mm² to 10000 N/mm². Required: the tool does not calculate until every input is valid.
Example
The form opens with 2000 N/mm² as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Cutting and motor power rise in direct proportion to the specific cutting force.
Get it right
Take it from the tool maker for your material group and feed; it changes with chip thickness.
What this means: Machine efficiency
Illustration: Machine efficiencyInput on the left and useful output on the right with the loss split off; Machine efficiency is output divided by input.inputuseful outputlossηExample: 80%Machine efficiency
What it is
The efficiency of the spindle drive from motor to cutting edge, used to turn cutting power into motor power.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 1% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 80% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A lower efficiency raises the motor power needed.
Get it right
Type the percentage itself (85 for 85 %), from the machine maker if known.
What this means: Available spindle power
Illustration: Available spindle powerA motor driving a shaft; Available spindle power is the rate at which it does work, energy per second.PavExample: 15 kWAvailable spindle power
What it is
The spindle motor power the machine can supply, from the machine specification.
Units and format
Enter a number in kW: kilowatts. The form accepts 0.000001 kW to 10000 kW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 15 kW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the continuous rating at the spindle speed you will run, not the short-time peak.
What this means: Least material yield
Illustration: Least material yieldA bar of 100 parts with the share marked; Least material yield is that share out of 100. The bar follows the value you type.0 %100 %yminExample: 40%Least material yield
What it is
The smallest share of the bought bar material that must end up in the finished part for the route to be acceptable.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 0% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Type the percentage itself (50 for 50 %).

Method and formulas

  1. Stock volume = π D² ÷ 4 × L (as the solid volume tool); removed = stock − finished.
  2. Removal rate Q = v_c × a_p × f; cutting power = k_c a_p f v_c ÷ 60 000; motor power = cutting ÷ efficiency (as the turning power tool).
  3. Cutting time = volume removed ÷ Q; yield = finished ÷ stock.
  4. Example: 282.74 cm³ of bar, 132.74 cm³ to chips (53.052% yield); 44.248 s at 180 cm³/min and 7.5 kW.

Limitations

  • Roughing time only; finishing, tool changes and handling are extra.
  • Constant removal rate; small diameters may be speed-limited.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Decide whether a part is better near-net-shape
  • Estimate roughing time from bar
  • Check a machine’s power for heavy roughing

Who it is for

  • Process planners
  • Estimators
  • Machinists

What you get

  • Stock volume, mass and cost
  • Volume removed, chip mass and yield
  • Removal rate, power and cutting time

Interpreting the result

  • Low yield on costly material points to forgings, castings or near-net bar sizes.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 82–88, 1084–1101. Topic reference; no source tables or recommended settings are reproduced.

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Stock Removal Plan (Bar Volume, Chips, Machining Time, Power) calculator