Memorandum sheet & bending development calculation
A bent plate, regardless of its angle, always has a rounding, the inside radius of which is at least equal to the thickness of the bent plate.
When folding, the outer fibers stretch and the inner fibers compress.
Only a so-called neutral fiber located in the middle of the thickness practically does not vary.
All calculations must be made from this fiber for thin sheets.
For thick sheets (> 4mm), the neutral fiber is generally located:
• At ⅓ of e if Ri ≤ 3 × e
• In the middle of e if Ri > 3 × e
Thin sheets up to 4mm thick
• It is necessary to proceed with the layout by taking the external dimensions (we do not hold the neutral fiber)
Developed length:
(20 – e) + (40 – e)
Developed lenght :
(20 – e) + 45 – (2 x e) + (15 – e)
Thin sheets greater than 4mm thick
For the development, take into account the rounding, calculate its development by taking the length developed at ⅓ of the thickness.
R = Ri + ⅓ × e if Ri ≤ 4 × e
R = Ri + ½ × e if Ri > 4 × e
The unique and valid formula for calculating a developed is:
(pi * R (Ri + neutral fiber) * unfolding angle) / 180
Internal bending radii depending on the material :
• Commonly used steel: r = e
• Commonly used stainless steel: r = 2.5 × e
• Annealed aluminium: r = e
• Hardened aluminium: r = 3 × e
• Annealed copper: r = e
• Hardened copper: r = 2.5 × e
The chart below shows the minimum radii to be respected as well as the height(s) according to the thickness of the sheet.
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