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Tool Deflection Calculator

Estimate static end-tool deflection with a cantilever beam model.

Metrik MFG / ToolingREADY
Tool Deflection Calculator
INPUTVALUEOUTPUT
Primary input01
Process setting02
Calculated output03
CALCULATION STATUSREADY TO CALCULATEEnter values below to generate results
STANDARD MODE

Tool Deflection Calculator

READY TO CALCULATE
RESULTCALCULATED OUTPUT
Static deflection—mm
Static deflection—in
Second moment of area—mm⁴
Second moment of area—in⁴

Enter the required inputs and calculate.

Advanced Engineering
PRACTICAL CONTEXT

Using the result in real shop work

This calculator applies the classic cantilever point-load model to a round tool or shaft. It isolates how force, overhang, diameter, and elastic modulus affect static deflection.

01

Set Up Tooling

Enter side force, unsupported length, tool diameter, and elastic modulus using one consistent unit system.

02

Where This Result Helps

Use it for setup comparisons and rigidity checks. Real cutting is dynamic and includes holder, spindle, workholding, and load-distribution effects.

04

What Can Distort the Result

Mixing units, treating cutting force as a constant tip load, ignoring holder compliance, or treating a static beam result as a guaranteed machining outcome.

ENGINEERING METHOD

How the tooling calculation works.

FORMULAδ = F L³ ÷ (3 E I), with I = πD⁴ ÷ 64 for a solid round section.
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