Section: Forming
Forming

Sheet Metal

Quick Cheat Sheet

Summary

Sheet-metal work covers shearing (cutting) and forming (bending, drawing). Clearance, bend allowance, springback and drawing limits are the key design parameters.

Key Points

  • Shearing: punch & die separated by a clearance c = a·t (a = 4–8% material constant)
  • Blanking: blank is the part; piercing/punching: hole is the part
  • Cutting force F ≈ 0.7 · UTS · t · L (perimeter)
  • Bending: bend allowance, springback (elastic recovery), V-bending vs edge bending
  • Deep drawing: punch, die, blank-holder force; drawing ratio DR = D₀/Dp
  • Ironing reduces wall thickness for uniform cup walls

Remember This

  • 1Clearance c ≈ (4–10)% of sheet thickness (varies with material)
  • 2Bend allowance BA = (π/180) · α · (R + k·t), where k = 0.33 (R<2t) or 0.5 (R≥2t)
  • 3Springback factor Kb = αf/αi = Ri/Rf — final radius is larger
  • 4Limiting drawing ratio LDR ≈ 2.0–2.2 for one-stage draw
  • 5Cutting force F = 0.7 · UTS · t · L

Quick Formulas

Cutting force

F = 0.7 · UTS · t · L

Clearance

c = a · t

Bend allowance

BA = (π/180) · α · (R + k·t)

Drawing ratio

DR = D₀ / Dp

Introduction

Sheet Metal Forming involves forming and cutting operations performed on thin metal sheets, strips, and coils.

Characteristics

  • Thickness typically 0.4 mm to 6 mm
  • High surface area to volume ratio
  • Operations performed at room temperature (usually)
  • High production rates
  • Low material waste

Classification of Sheet Metal Operations

1. Cutting Operations

  • Shearing, Blanking, Punching, Piercing, Trimming, Notching

2. Bending Operations

  • V-bending, Edge bending, Flanging, Hemming

3. Drawing Operations

  • Deep drawing, Shallow drawing, Redrawing

Cutting Operations

Shearing

Shearing = Cutting operation where sheet metal is cut along a straight line

Process:

  • Upper blade (punch) moves down
  • Lower blade (die) is stationary
  • Material experiences shear stress
  • Fracture occurs along shear plane

Shear Force: F = S × t × L

Where:

  • S = Shear strength of material (MPa)
  • t = Sheet thickness (mm)
  • L = Length of cut (mm)

Clearance (c):

  • Gap between punch and die
  • Typical clearance = 5-10% of sheet thickness
  • Too small → excessive force, poor edge quality
  • Too large → burrs, rough edge

Blanking and Punching

Blanking: Cutting operation where the cut piece (blank) is the desired part

  • Blank = Product
  • Scrap = Remaining sheet with hole

Punching: Cutting operation where the hole is desired

  • Hole = Product
  • Slug = Scrap piece removed

Punch Force: F = S × t × P

Where:

  • P = Perimeter of cut (mm)

Die Clearance: c = 0.075 × t (for soft materials) c = 0.10 × t (for hard materials)

Other Cutting Operations

Piercing: Creating holes (similar to punching)

Notching: Cutting out a portion from edge

Trimming: Removing excess material from edges

Parting: Separating a part from the remaining strip

Slitting: Making lengthwise cuts

Bending Operations

Bending Fundamentals

Bending = Forming operation where sheet metal is deformed along a straight axis

Key Parameters:

  • Bend angle (α): Angle through which material is bent
  • Bend radius (R): Inside radius of bend
  • Bend allowance (BA): Length of neutral axis in bend region

Bend Allowance

Bend Allowance Formula: BA = (π/180) × α × (R + k×t)

Where:

  • α = Bend angle (degrees)
  • R = Inside bend radius
  • t = Sheet thickness
  • k = Factor (typically 0.33 for R < 2t, 0.5 for R > 2t)

Simplified (for 90° bend): BA ≈ 1.57 × (R + 0.5t)

Minimum Bend Radius

Minimum Bend Radius: Smallest radius that can be bent without cracking

Factors affecting minimum bend radius:

  • Material ductility (more ductile → smaller radius)
  • Sheet thickness (thicker → larger radius)
  • Bend direction relative to rolling direction
  • Material condition (annealed vs work-hardened)

Typical values:

  • Soft aluminum: R(min) = 0
  • Half-hard aluminum: R(min) = t
  • Soft steel: R(min) = 0.5t
  • Hard steel: R(min) = 2t

Spring-back

Spring-back = Elastic recovery after bending force is removed

Spring-back Angle: Δα = α(initial) - α(final)

Factors increasing spring-back:

  • Higher yield strength
  • Lower elastic modulus
  • Smaller bend radius
  • Thinner sheet

Compensation Methods:

  • Overbending
  • Bottoming (coining)
  • Stretch bending

Types of Bending

V-Bending:

  • Most common
  • Sheet bent between V-shaped punch and die
  • Can be air bending or bottoming

Edge Bending:

  • Bending along edge of sheet
  • Wiping die used

Flanging:

  • Bending edge perpendicular to sheet

Hemming:

  • Folding edge over itself (180° bend)
  • Used for stiffening and edge finishing

Bending Force

Approximate Bending Force: F = (k × S × w × t²) / L

Where:

  • k = Constant (≈ 1.33 for V-bending)
  • S = Tensile strength
  • w = Width of part
  • t = Thickness
  • L = Die opening width

Deep Drawing

Deep Drawing Process

Deep Drawing = Forming a flat blank into a hollow vessel without excessive wrinkling, thinning, or fracturing

Process:

  1. Blank placed over die opening
  2. Punch pushes blank into die cavity
  3. Blank holder prevents wrinkling
  4. Material flows from flange into cup walls

Drawing Ratio

Drawing Ratio (DR) = D₀/Dp

Where:

  • D₀ = Blank diameter
  • Dp = Punch diameter

Limiting Drawing Ratio (LDR):

  • Maximum DR achievable in single draw
  • Typical LDR ≈ 2.0 to 2.2
  • Higher LDR → more severe drawing

For deeper cups: Multiple drawing operations (redrawing) required

Blank Size Calculation

For cylindrical cup:

Blank Diameter: D₀ = √(Dp² + 4×Dp×h)

Where:

  • Dp = Cup diameter
  • h = Cup height

Drawing Force

Approximate Drawing Force: F = π × Dp × t × S × (D₀/Dp - 0.7)

Where:

  • S = Tensile strength of material

Blank Holder Force

Purpose: Prevent wrinkling of flange

Typical value: 30-40% of drawing force

Drawing Defects

Wrinkling:

  • Wrinkles in flange or wall
  • Caused by: insufficient blank holder force, large blank, thin material

Tearing/Fracture:

  • Cup bottom or wall tears
  • Caused by: excessive drawing ratio, insufficient lubrication, sharp punch radius

Earing:

  • Wavy edge at cup top
  • Caused by: anisotropy in sheet material

Surface Scratches:

  • Caused by: poor lubrication, rough die surface, hard particles

Other Sheet Metal Operations

Stretch Forming

  • Sheet stretched over form block
  • Used for large panels (aircraft, automotive)

Spinning

  • Sheet rotated and formed over mandrel
  • Manual or CNC
  • Used for axially symmetric parts

Hydroforming

  • Fluid pressure used to form sheet
  • Good for complex shapes
  • Minimal tooling

Incremental Forming

  • Localized deformation by moving tool
  • Flexible, no dedicated dies
  • Low production volumes

Sheet Metal Materials

Common materials:

  • Low carbon steel: Most common, good formability
  • Stainless steel: Corrosion resistance, higher strength
  • Aluminum alloys: Lightweight, good formability
  • Brass/Copper: Excellent formability, decorative
  • Titanium: High strength, aerospace applications

Advantages of Sheet Metal Forming

  1. High production rates
  2. Good dimensional accuracy
  3. Excellent surface finish
  4. Minimal material waste
  5. High strength-to-weight ratio
  6. Complex shapes possible

Limitations

  1. Limited to thin materials
  2. Spring-back issues
  3. Tooling costs high for low volumes
  4. Size limitations
  5. Anisotropy effects