MEASURED QUANTITY SENSITIVITY

Tapered base and shaft volume — shaft diameter scenarios.

How does changing shaft diameter affect tapered base and shaft volume when the other inputs stay fixed?

What this decision changes

This measured quantity or supplied dimension enters the method on its stated unit basis. Other inputs stay fixed so its effect can be separated from net deductions, stock constraints or purchase rounding. Method basis: The shaft begins at the top of the taper. Its height excludes the taper, preventing overlap. This is volume takeoff from supplied dimensions, never footing-size selection.

The focus is specified shaft diameter. All other shared inputs remain fixed for each evaluated range.

V = πr²Hs + πHt(r²+rR+R²)/3Tapered Base and Shaft Volume Calculator

Evaluate your supplied alternatives

Start with your measured plan and selected product data. The initial values and range are illustrative. Each scenario changes only specified shaft diameter; the other entered values stay fixed.

Display units

Measured plan and product inputs

Specified shaft diameter

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Shaft height above taper

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Specified base diameter

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Taper height

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Identical components

Purchase allowance

Shortcuts only; choose your own allowance above.

Where to get this value

Enter your own allowance. Presets are input shortcuts, not a construction recommendation.

Supplied comparison range for specified shaft diameter

Lower supplied comparison value

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Upper supplied comparison value

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Nine evenly spaced values are evaluated. Whole counts are rounded to distinct integer scenarios. Values between the listed samples are not calculated.

9 evaluated scenarios

Baseline: Concrete volume — 3.403392 m³. Rejected combinations remain visible below.

Quantity to plot

Each bar is one actual calculated concrete volume. Horizontal values: specified shaft diameter in m.

Specified shaft diameter	Concrete volume	Change from baseline	Use this scenario
0.6 m	2.021091 m³	-1.382301 m³	Open in calculator Exact quantity breakdown Shaft per component 0.5654867 m³ Taper per component 1.455605 m³
0.725 m	2.390065 m³	-1.013327 m³	Open in calculator Exact quantity breakdown Shaft per component 0.8256498 m³ Taper per component 1.564415 m³
0.85 m	2.816307 m³	-0.5870851 m³	Open in calculator Exact quantity breakdown Shaft per component 1.1349 m³ Taper per component 1.681407 m³
0.975 m	3.299818 m³	-0.1035744 m³	Open in calculator Exact quantity breakdown Shaft per component 1.493238 m³ Taper per component 1.806579 m³
1.1 m	3.840597 m³	0.437205 m³	Open in calculator Exact quantity breakdown Shaft per component 1.900664 m³ Taper per component 1.939933 m³
1.225 m	4.438645 m³	1.035253 m³	Open in calculator Exact quantity breakdown Shaft per component 2.357176 m³ Taper per component 2.081469 m³
1.35 m	5.093962 m³	1.69057 m³	Open in calculator Exact quantity breakdown Shaft per component 2.862776 m³ Taper per component 2.231185 m³
1.475 m	5.806547 m³	2.403155 m³	Open in calculator Exact quantity breakdown Shaft per component 3.417464 m³ Taper per component 2.389083 m³
1.6 m	6.576401 m³	3.173009 m³	Open in calculator Exact quantity breakdown Shaft per component 4.021239 m³ Taper per component 2.555162 m³

Read the evaluated results

Read calculated demand, whole purchases and exact detail lines separately. This specific input may change quantity continuously, cross a purchase step or make the stated geometry or stock fit invalid.

Replace every illustrative baseline measurement and selected product value with the inputs for your actual task.
Enter a comparison range on the focused input's stated unit and quantity basis.
Review rejected combinations and use the exact detail lines to distinguish measured demand from whole purchases.
Open an evaluated scenario in the full calculator to save its original inputs and quantity breakdown to a browser material project.

Keep the comparison within scope

Compare measurements or already specified alternatives. Quantity sensitivity does not establish material suitability or construction requirements.

The shaft begins at the top of the taper. Its height excludes the taper, preventing overlap. This is volume takeoff from supplied dimensions, never footing-size selection.

Dimensions, quantities, prices, timing and product properties are supplied by you. This tool does not select construction specifications or assess structural, electrical or hydraulic suitability.

Only the listed samples are evaluated. Intermediate values, alternate constraints and global cutting optimality are not inferred from the graph.

Continue with this quantity method

Tapered Base and Shaft Volume Calculator

Other independent input decisions

Read the measurement and purchase guides

Measure shaft height separately from a tapered base

Quantity method and illustrative scenarios checked 6 October 2026. Methods and scope.