17-4.Leaf spring

17-4. Leaf spring Symbol description and unit
(1) Rectangular spring Maximum stress:
ƒÐmax=6*W*L/(b*t2)@@kkgf/mm2l
ƒÐmax=

Deflection:
ƒÂ=4*W*L3/(E*b*t3)@kmml
ƒÂ=
WF Load applied to the spring@kkgfl
LF span@kmml
bF Leaf spring width@kmml
tF Leaf spring thickness@kmml
EF Young's modulus@kkgf/mm2l
(2) Trapezoidal spring Maximum stress:
ƒÐmax=6*W*L/(b0*t)@@kkgf/mm2l
ƒÐmax=

Correction factor for shape:
k=12/(1-b1/b0)3*(1/2-2*b1/b0+(b1/b0)2*(3/2-logeb1/b0))
k=

Deflection:
ƒÂ=k*W*L3/(E*b0*t3)@kmml
ƒÂ=
WF Load applied to the spring@kkgfl
LFspan@kmml
b0F Leaf spring width 1@kmml
b1FLeaf spring width 2 @kmml
tF Leaf spring thickness@kmml
EF Young's modulus@kkgf/mm2l
(3) Laminated leaf spring Bending stress:
ƒÐmax=3*W*L/(2*n*b*t2) kkgf/mm2l
ƒÐmax=

Deflection:
ƒÂ=3*W*L3/(n*b*t3*E)@kmml
ƒÂ=
WFLoad applied to the spring@kkgfl
nFNumber of boards@
LF span@kmml
bF Leaf spring width@kmml
tF Leaf spring thickness@kmml
EF Young's modulus@kkgf/mm2l

(1) Rectangular spring

(2) Trapezoidal spring

(3) Laminated leaf spring
References: "Machine Official Collection" (co-authored by Masaaki Oishi / Tatsuo Inami) Mechanical design springs, page 100, refer to rectangular springs, trapezoidal springs, and laminated leaf springs.