Section: Forming
Forming

Drawing & Spinning

Quick Cheat Sheet

Summary

Drawing pulls a wire/bar through a converging die to reduce cross-section. Spinning rotates a blank against a tool to form axisymmetric parts without bulk deformation.

Key Points

  • Wire/bar drawing: cold, multiple passes, die angle α (typically 6–15°)
  • Reduction r = (A₀ − Af) / A₀; ideal drawing stress σd = Yf · ln(A₀/Af)
  • Real drawing stress includes friction & redundant work multipliers
  • Maximum reduction per pass ≈ 63% (limited by σd ≤ Yf at exit)
  • Conventional spinning: shape change only, thickness preserved
  • Shear spinning: thickness reduced by sine law
  • Tube spinning: forward or backward flow of the tube wall

Remember This

  • 1σd_ideal = Yf · ln(A₀/Af) (no friction, no redundant work)
  • 2Max draw reduction r_max ≈ 1 − 1/e ≈ 0.63 (≈ 63%)
  • 3Shear-spinning sine law: tf = t₀ · sin α
  • 4Typical drawing die angle α = 6–15°; lubricant essential
  • 5Spinning is single-tool, low-cost, low-quantity (lampshades, dishes, cones)

Quick Formulas

Ideal drawing stress

σd = Yf · ln(A₀ / Af)

Reduction

r = (A₀ − Af) / A₀

Shear-spinning sine law

tf = t₀ · sin α

Wire and Bar Drawing

Wire Drawing Process

Wire Drawing = Pulling a wire or bar through a converging die to reduce cross-sectional area and increase length

Process:

  • Wire pulled through tapered die
  • Cross-section reduced
  • Length increased
  • Diameter reduced

Key Features:

  • Cold working process
  • Strain hardening occurs
  • Multiple passes required for large reductions
  • Intermediate annealing may be needed

Drawing Die Geometry

Die Components:

  1. Entry zone - Guides wire into die
  2. Approach angle - Converging section (typically 6-20°)
  3. Bearing/Land - Cylindrical section for sizing
  4. Back relief - Exit section
  5. Exit zone

Die Angle (α):

  • Typical: 6° to 20°
  • Smaller angle → lower stress, longer die life, more friction
  • Larger angle → higher stress, shorter die life, less friction
  • Optimum: ~12-15°

Area Reduction

Area Reduction (r): r = (A₀ - Af)/A₀ × 100%

Where:

  • A₀ = Initial cross-sectional area
  • Af = Final cross-sectional area

Typical Reductions:

  • Single pass: 20-50%
  • Total reduction: up to 99% (multiple passes)

Drawing Force

Drawing Stress: σd = Yf × ln(A₀/Af) × (1 + μ/tan α)

Where:

  • Yf = Average flow stress
  • μ = Coefficient of friction
  • α = Die semi-angle

Drawing Force: F = σd × Af

Maximum Reduction per Pass:

  • Limited by tensile strength of drawn wire
  • Wire must not break at exit
  • Typically 50-60% maximum

Drawing Speed

Drawing Speed:

  • Depends on material and reduction
  • Steel wire: 5-50 m/s
  • Copper wire: up to 100 m/s
  • Higher speeds → heat generation

Wire Drawing Machines

Types:

  1. Single-draft machine - One die, one pass
  2. Multi-draft machine - Multiple dies in series
  3. Continuous drawing - Wire passes through multiple dies without stopping

Bull block: Large rotating drum that pulls wire through die

Drawing Defects

Center burst (Chevron cracking):

  • Internal cracks along centerline
  • Caused by: excessive die angle, high reduction, insufficient lubrication

Surface defects:

  • Scratches, scoring
  • Caused by: die wear, poor lubrication, hard particles

Seams:

  • Longitudinal surface cracks
  • Caused by: defects in starting material

Uneven diameter:

  • Caused by: die wear, speed variations

Tube Drawing

Tube Drawing = Similar to wire drawing but for hollow tubes

Methods:

  1. Tube sinking - No mandrel, tube drawn through die (reduces diameter and wall thickness)
  2. Tube drawing with mandrel - Mandrel controls inside diameter
  3. Tube drawing with plug - Floating plug controls wall thickness

Bar Drawing

Bar Drawing = Drawing of bars with larger cross-sections

Differences from wire drawing:

  • Larger cross-sections (>10 mm diameter)
  • Lower speeds
  • May be done hot or cold
  • Used for: round bars, hexagonal bars, square bars

Metal Spinning

Conventional Spinning

Metal Spinning = Forming axially symmetric parts by rotating a blank and pressing it against a mandrel

Process:

  1. Circular blank clamped to rotating mandrel
  2. Roller or tool presses blank against mandrel
  3. Blank gradually formed to mandrel shape
  4. Multiple passes may be needed

Key Features:

  • No material thickness change (ideally)
  • Blank diameter = final part diameter
  • Used for hollow, axially symmetric parts
  • Manual or CNC

Applications:

  • Cookware, light reflectors, bells, musical instruments
  • Aerospace components (nose cones, rocket casings)
  • Decorative items

Advantages:

  • Low tooling cost (only mandrel needed)
  • Flexible (easy to change design)
  • Good for low to medium production
  • Minimal material waste

Limitations:

  • Limited to axially symmetric parts
  • Slower than deep drawing
  • Requires skilled operators (manual)
  • Size limitations

Shear Spinning (Flow Forming)

Shear Spinning = Spinning process where wall thickness is intentionally reduced

Process:

  • Blank thickness reduced as it's formed
  • Material flows in axial direction
  • Wall becomes thinner, length increases

Sine Law: tf = t₀ × sin α

Where:

  • tf = Final wall thickness
  • t₀ = Initial blank thickness
  • α = Mandrel half-angle

Applications:

  • Rocket motor casings
  • Pressure vessels
  • Thin-walled cylinders

Advantages over conventional spinning:

  • Higher strength (work hardening)
  • Better dimensional accuracy
  • Thinner walls possible

Tube Spinning

Tube Spinning = Spinning process starting with a tube instead of flat blank

Applications:

  • Reducing tube diameter
  • Forming tube ends
  • Creating complex tube shapes

Comparison: Drawing vs Spinning

Aspect Drawing Spinning
Starting form Flat blank Flat blank
Tooling cost High (punch, die, blank holder) Low (mandrel only)
Production rate High Low to medium
Part complexity Limited More flexible
Wall thickness Controlled thinning Constant (conventional) or controlled (shear)
Symmetry Axially symmetric Axially symmetric
Best for Mass production Low volume, prototypes

Lubrication in Drawing and Spinning

Importance:

  • Reduces friction
  • Lowers drawing force
  • Improves surface finish
  • Extends die life
  • Prevents galling and scoring

Lubricants:

  • Wire drawing: Soap solutions, oils, polymer coatings
  • Tube drawing: Oils, greases, phosphate coatings
  • Spinning: Waxes, soaps, oils

Material Considerations

Suitable Materials:

  • Ductile metals: steel, aluminum, copper, brass, stainless steel
  • Must have sufficient ductility to avoid fracture
  • Strain hardening beneficial for strength

Annealing:

  • Intermediate annealing between passes
  • Restores ductility
  • Allows further reduction
  • Typical for copper, aluminum in multi-pass drawing