Use actual effective engagement and hub envelope to separate shear from flank bearing stress. Parallel-key calculations reuse the existing ValiCalc engine. Woodruff keys use explicitly supplied projected load areas, with geometry qualification shown separately.
Verified mathematical models with explicit assumptions. Component capacity and applicability are shown as separate checks.
Labeled example inputs • SI calculations • Project revision 0 • No account or cloud upload
01 / ENGINEERING INPUTS
Define the operating point
N·m
mm
mm
mm
mm
mm
mm
mm
mm
MPa
MPa
02 / CALCULATE → SELECT → RECALCULATE
Calculation & checks
Tangential joint force
6,666.66667 N
Actual effective key length
32 mm
Average shear stress
26.04167 MPa
Average bearing stress
59.52381 MPa
Remaining hub radial wall
15 mm
Original schematic; not a manufacturing drawing. Shaft / hub · Effective length · Loaded flank. Actual dimensions and model checks are listed in the calculation record.
Criterion-specific verification
UNKNOWN · Supplied static shear criterion
Average stress; applicability of allowable must be documented. No positive applicable limit was supplied.
UNKNOWN · Supplied static bearing criterion
Use the weakest applicable key/shaft/hub allowable. No positive applicable limit was supplied.
PASSED · Effective key fits hub envelope
A larger selected key cannot create extra hub engagement.
No hub wall strength or shaft-notch fatigue approval from average key stress.
Method and calculation trace
Tangential force = 2T/d; average shear = force/effective shear area; flank bearing = force/projected contact area.
Reuses the frozen parallel-key engine with actual effective length and flank height. Entering a different selected length recalculates stress and criterion torque.
Assumptions & scope
Static average stress only; no equal sharing among multiple keys. Effective length excludes entered unloaded ends. Allowables must cover the actual key/shaft/hub materials and duty.
Woodruff effective areas require a qualified actual drawing. Circular seat geometry, key tilting, contact distribution and seat/notch stress are not inferred from a parallel-key table.
Hub envelope checks are geometric. Hub bursting, fretting, reversing fatigue, fits and shaft-notch fatigue remain unverified.
Worked example
100 N·m on a 30 mm shaft produces 6666.67 N tangential force. An 8 mm key with 32 mm effective length has 26.0417 MPa average shear; 3.5 mm flank engagement gives 59.5238 MPa average bearing stress. Example geometry supplies no material approval.
Calculation methods and sources
F = 2T/d; τavg = F/Ashear; σbearing = F/Aflank
Single-key nominal static force balance. Existing parallel-key solver retained. Woodruff effective areas are explicitly supplied from a qualified drawing, not inferred from straight-key height.
Existing ValiCalc parallel-key verified utility; independently derived statics. Keys are an external-source extension: Volume 1 does not provide the Chapter 9 key methods. Woodruff area qualification remains unresolved.
Textbook references identify the method context. Historical numerical catalog, material and service-factor tables have not been copied or treated as current product ratings.
No. The worksheet separates mathematical results from criterion-specific checks. Actual motor, belt, gear, shaft, bearing and joint capacity need applicable current source data and engineering review.
What changes after choosing a physical size?
The worksheet recalculates the outputs and geometry from the entered actual dimensions or discrete tooth/link count. Dependent checks are reevaluated; previously saved results are not restored as approvals.