Bend radius and bend allowance in Solidworks - Cell-by-Cell Formula Trace

Sample Data

Sheet metal parameters for calculating bend allowance and inside bend length.

Cell	Value
A1	Material Thickness (T)
B1	0.125
A2	Bend Radius (R)
B2	0.25
A3	K-Factor (K)
B3	0.3
A4	Bend Angle (A)
B4	90
A5	Bend Allowance (BA)
B5
A6	Inside Bend Length (IBL)
B6

Formula Trace

Bend Allowance (BA) = (A * (R + K * T) * π) / 180

Step 1: K * T

Step 2: R + (K * T)

Step 3: A * (R + K * T)

Step 4: (A * (R + K * T) * π) / 180

Cell Reference Map

    A       B
1 |Material Thickness| 0.125
2 |Bend Radius      | 0.25
3 |K-Factor        | 0.3
4 |Bend Angle      | 90
5 |Bend Allowance  | 
6 |Inside Bend Len | 

References used: Material Thickness (B1), Bend Radius (B2), K-Factor (B3), Bend Angle (B4) to calculate Bend Allowance (B5).

Result

    A       B
1 |Material Thickness| 0.125
2 |Bend Radius      | 0.25
3 |K-Factor        | 0.3
4 |Bend Angle      | 90
5 |Bend Allowance  | 0.451
6 |Inside Bend Len | 

Bend Allowance calculated as 0.451 inches based on given parameters.

Sheet Trace Quiz - 3 Questions

What is the value of K * T in the bend allowance formula?

A 0.0375

B 0.3

C 0.125

D 0.2875

Key Result

Bend Allowance = (Bend Angle * (Bend Radius + K-Factor * Thickness) * π) / 180

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