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Bends and types Open and Closed Bends

Open and closed bends present unique problems that require more calculations than 90° bends. In the following 45° and a 135° bend examples, the material is 0.050-inch thick and the bend radius is 3⁄16-inch.

Open End Bend (Less Than 90°)

Figure 1 shows an example for a 45° bend.

1. Look up K-factor in K chart. K-factor for 45° is 0.41421-inch.

2. Calculate setback.
    SB = K(R + T)
    SB = 0.41421-inch(0.1875-inch + 0.050-inch) =
    0.098-inch

3. Calculate bend allowance for 45°. Look up bend allowance for 1° of bend in the bend allowance chart and multiply this by 45.
0.003675-inch × 45 = 0.165-inch

4. Calculate flats.
    Flat = Mold line dimension – SB
    Flat 1 = .77-inch – 0.098-inch = 0.672-inch
    Flat 2 = 1.52-inch – 0.098-inch = 1.422-inch

5. Calculate TDW
    TDW = Flats + Bend allowance
    TDW = 0.672-inch + 1.422-inch + 0.165-inch = 2.259‑inch.

Figure 1. Open bend.

Observe that the brake reference line is still located one radius from the bend tangent line.

Closed End Bend (More Than 90°)

Figure 2 shows an example of a 135° bend.

1. Look up K-factor in K chart. K-factor for 135° is 2.4142-inch.

2. Calculate SB.
    SB = K(R + T)
    SB = 2.4142-inch(0.1875-inch + 0.050-inch) = 0.57-inch

3. Calculate bend allowance for 135°. Look up bend allowance for 1° of bend in the bend allowance chart and multiply this by 135.
0.003675-inch × 135 = 0.496-inch

4. Calculate flats.
    Flat = Mold line dimension – SB
    Flat 1 = 0.77-inch – 0.57-inch = 0.20-inch
    Flat 2 = 1.52-inch – 0.57-inch = 0.95-inch

5. Calculate TDW.
    TDW = Flats + Bend allowance
    TDW = 0.20-inch + 0.95-inch + 0.496-inch = 1.65-inch

Figure 2. Closed bend

It is obvious from both examples that a closed bend has a smaller TDW than an open-end bend and the material length needs to be adjusted accordingly.

Credit : Shubham Raj
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