and
if r ¼ t and k ¼ 0 : 33; then e
0
¼ 50%
if r ¼ 4 t and k ¼ 0 : 38; then e
0
¼ 14%
The actual elongation will be less, because during bending the material gets thinner at the corners.
Therefore, the outside fibers stretch less. Furthermore, the elongation is not restricted to the exact corner
only;material under tension “pulls in”material from the adjacent areas. Therefore,the outside fibers
actually strain (elongate) considerably less than the calculated one shown above.
Notwithstanding the above effect, the strain can still be highatthe corners when asheet is formed to a
too sharp radius (small inside radius). In the case of asharp radius, material with limited elongation can
crack or break.
Some material can be formed with azeroinside radius (folded back on itself)without outside cracks.
Other material mayrequire inside radius equals to one, two,ormore times the metal thickness. For
instance,80,000 to 100,000 psi (550 to 690 MPa) yield strength steel with approximately 2% elongation
may requireaminimum inside radius equal to or larger than four times the material thickness or r ¼ 4 t :
Most higher strength materials, even up to 220,000 psi (1500 MPa), can be formed with four times metal
thickness inside radius (Table 6.2).
The cracking or breaking at the outside layers is also influencedbyother factors. It is well known that
during shearing,only apartofthe material is sheared through “cleanly,” the rest of it breaks away.
The burr at the edge contains microbreaks, which are crack initiation sites. Moreover,the entireedge is
work hardened and has lowerformabilitythan the parent material. Brakeforming of thicker metals with
such arough sheared edge can create edge cracking (Figure 6.10). Bending with the burr on the
compression side of the bend can potentially reduce the incidenceofedge cracking.The crack may
propagate only 0.5 to 1.5 in. from the edge of the sheet. Cutting products to length after rollforming does
not create this problem.
Cracking is also affected by the microstructure of the material. Large, rough inclusions and certain
alloying elements contribute to cracking.With proper alloying and treatments (inclusion shape control),
the inclusions can be controlled and the minimum bending radius of some highstrength steels havebeen
reduced by 50% or more.
Standards or supplier’stables provide data for the recommended minimum bending radius (some
standards refer to minimum bending diameter). In most cases, the metal strip can be roll formed with the
same or even smaller bending radius than it can be brake formed.
TABLE 6.2 Influence of Mechanical Properties on Minimum r : t Bending Ratio (908 Bend)
Yield Strength Minimum Bend Radius
Low Carbonand IF Steel, Grades 2to5 r ¼ 0
Grade 1and others up to 40,000 psi (275 MPa) Yield r ¼ 1 t
40,000 to 60,000 psi (275 to 415 MPa) Yield HSLA r ¼ 2 t
70,000 to 80,000 psi (480 to 550 MPa) Yield HSLA r ¼ 3 t
80,000 to 100,000 psi (550 to 690 MPa) Yield Cold Worked, 1to3%
elongation
r ¼ 4 t
180,000 to 200,000 psi (1240 to 1380 MPa) Yield UHS Martensite r ¼ 4 t
Stainless Steel Annealed 301, 302, 304, 305, 309, 310, 316 r ¼ 0 : 5 t
Stainless Steel one-quarter hard 301, 302, 316 r ¼ t
Stainless Steel half hard301 r ¼ 2 t
Stainless Steel Annealed 405, 410, 430, 442 r ¼ t
Aluminum 1100, 2014, 3003, 3004, 5005, 6061 (All “0” Te mper) r ¼ 0
Aluminum 1100, 3003, 5005 (All “H12” Temper) r ¼ 0
Aluminum t , 0.060 (1.5 mm) 3003, 3004, 5005 (All “H18” or “H38”) r ¼ 1 t
Materials 6 -9