Bend radius and bend allowance in Solidworks - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is bend radius in sheet metal design?

Bend radius is the inside curve radius of a bent sheet metal part. It affects how the metal bends without cracking.

beginner

Define bend allowance.

Bend allowance is the length of the arc of the bend. It helps calculate the flat length of sheet metal before bending.

intermediate

Why is bend radius important in manufacturing?

A correct bend radius prevents metal cracks and ensures the part fits properly. Too small radius can cause damage.

intermediate

How does bend allowance affect flat pattern length?

Bend allowance adds extra length to the flat pattern to account for the metal stretched during bending.

intermediate

What happens if bend allowance is not considered?

If bend allowance is ignored, the flat pattern will be too short or too long, causing wrong part size after bending.

What does bend radius measure?

A Thickness of the sheet metal

B Inside curve radius of the bend

C Length of the flat sheet

D Angle of the bend

Bend radius is the inside curve radius of the bent sheet metal.

Bend allowance helps calculate:

A The flat length before bending

B The thickness of the metal

C The bend angle

D The color of the metal

Bend allowance is used to find the flat length needed before bending.

What can happen if bend radius is too small?

A Bend angle increases

B Metal becomes thicker

C Metal may crack

D Metal color changes

A too small bend radius can cause the metal to crack during bending.

Ignoring bend allowance causes:

A Incorrect flat pattern length

B Faster bending process

C Stronger metal

D No effect

Ignoring bend allowance leads to wrong flat pattern length and wrong final part size.

Which factor does NOT affect bend radius?

A Material type

B Sheet thickness

C Bend angle

D Paint color

Paint color does not affect bend radius.

Explain in your own words what bend radius and bend allowance are and why they matter in sheet metal design.

Think about how metal bends and how you measure the flat sheet before bending.

Describe what could go wrong if you do not use the correct bend allowance when making a flat pattern.

Imagine cutting a piece of paper too short or too long before folding.

Practice

1. What does the bend radius represent in sheet metal design?

easy

A. The inside curve size of the bend

B. The thickness of the sheet metal

C. The total length of the flat pattern

D. The angle of the bend

Solution

1. Step 1: Understand bend radius definition

   Bend radius is the radius of the inside curve where the metal bends.

2. Step 2: Differentiate from other terms

   Thickness is metal thickness, length is flat pattern size, angle is bend angle, so they are incorrect.

3. Final Answer:

   The inside curve size of the bend -> Option A

4. Quick Check:

   Bend radius = inside curve size [OK]

Hint: Bend radius is always the inside curve size [OK]

Common Mistakes:

• Confusing bend radius with metal thickness
• Thinking bend radius is the bend angle
• Mixing bend radius with flat pattern length

2. Which of the following formulas correctly represents bend allowance (BA) for a bend with angle θ (in degrees), bend radius R, and thickness T?

easy

A. BA = (π/180) x θ x (R + T/2)

B. BA = (π/180) x θ x (R - T/2)

C. BA = (π/180) x θ x (R + T)

D. BA = (π/180) x θ x R

Solution

1. Step 1: Recall bend allowance formula

   Bend allowance = angle in radians x (bend radius + half thickness).

2. Step 2: Convert angle to radians and apply formula

   Angle θ in degrees converted by (π/180), then multiplied by (R + T/2).

3. Final Answer:

   BA = (π/180) x θ x (R + T/2) -> Option A

4. Quick Check:

   Bend allowance = angle x (radius + half thickness) [OK]

Hint: Add half thickness to radius in bend allowance formula [OK]

Common Mistakes:

• Using full thickness instead of half thickness
• Omitting thickness in the formula
• Using radius minus half thickness

3. Given a sheet metal bend with bend radius 7 mm, thickness 2 mm, and bend angle 90°, what is the bend allowance using the formula BA = (π/180) x θ x (R + T/2)? (Use π ≈ 3.14)

medium

A. 10.5 mm

B. 12.56 mm

C. 15.7 mm

D. 13.23 mm

Solution

1. Step 1: Calculate (R + T/2)

   R = 7 mm, T = 2 mm, T/2 = 1 mm, so R + T/2 = 8 mm.

2. Step 2: Convert 90° to radians

   (3.14 / 180) x 90 ≈ 0.01744 x 90 ≈ 1.57 radians.

3. Step 3: Compute bend allowance

   BA = 1.57 x 8 = 12.56 mm.

4. Final Answer:

   12.56 mm -> Option B

5. Quick Check:

   (π/180) x 90 x 8 ≈ 12.56 mm [OK]

Hint: Multiply angle in radians by (radius + half thickness) [OK]

Common Mistakes:

• Forgetting to convert angle to radians
• Using full thickness instead of half thickness
• Incorrect π value or rounding errors

4. Identify the error in this bend allowance calculation code snippet:

angle = 90
radius = 5
thickness = 2
bend_allowance = (3.14 / 180) * angle * (radius - thickness / 2)

medium

A. Thickness should be doubled, not halved

B. Angle should be in radians, not degrees

C. Using radius minus half thickness instead of adding

D. π value is incorrect

Solution

1. Step 1: Review bend allowance formula

   Correct formula uses (radius + half thickness), not minus.

2. Step 2: Check code snippet

   Code uses (radius - thickness / 2), which is incorrect and will underestimate bend allowance.

3. Final Answer:

   Using radius minus half thickness instead of adding -> Option C

4. Quick Check:

   Bend allowance uses radius + half thickness [OK]

Hint: Always add half thickness to radius in formula [OK]

Common Mistakes:

• Subtracting half thickness instead of adding
• Not converting angle to radians
• Using wrong π value

5. You need to create a flat pattern for a sheet metal part with a 120° bend, bend radius 4 mm, and thickness 1 mm. Which bend allowance should you use to ensure accurate flat length?

hard

A. BA = (π/180) x 90 x (4 + 1/2) = 7.07 mm

B. BA = (π/180) x 120 x (4 - 1/2) = 7.54 mm

C. BA = (π/180) x 180 x (4 + 1) = 15.7 mm

D. BA = (π/180) x 120 x (4 + 1/2) = 9.42 mm

Solution

1. Step 1: Identify correct formula and values

   Use BA = (π/180) x angle x (radius + half thickness). Angle = 120°, radius = 4 mm, thickness = 1 mm.

2. Step 2: Calculate bend allowance

   Half thickness = 0.5 mm, so radius + half thickness = 4.5 mm.
   BA = (3.14/180) x 120 x 4.5 ≈ 2.09 x 4.5 = 9.42 mm.

3. Final Answer:

   BA = (π/180) x 120 x (4 + 1/2) = 9.42 mm -> Option D

4. Quick Check:

   Bend allowance uses angle 120° and radius + half thickness [OK]

Hint: Use angle x (radius + half thickness) for bend allowance [OK]

Common Mistakes:

• Using wrong bend angle
• Subtracting half thickness
• Doubling thickness instead of halving