皿ばね
C 3 = 3 π α − 1 ln  α {\displaystyle C_{3}={\frac {3}{\pi }}{\frac {\alpha -1}{\ln \alpha }}}
荷重 P とたわみ δ の関係:
P = 4 E 1 − ν 2 t 3 C 1 d e 2 δ [ ( β − δ t ) ( β − δ 2 t ) + 1 ] {\displaystyle P={\frac {4E}{1-\nu ^{2}}}{\frac {t^{3}}{C_{1}d_{e}^{2}}}\delta \left[\left(\beta -{\frac {\delta }{t}}\right)\left(\beta -{\frac {\delta }{2t}}\right)+1\right]}
接線ばね定数 k :
k = d P d δ = 4 E 1 − ν 2 t 3 C 1 d e 2 [ β 2 − 3 β δ t + 3 2 ( δ t ) 2 + 1 ] {\displaystyle k={\frac {dP}{d\delta }}={\frac {4E}{1-\nu ^{2}}}{\frac {t^{3}}{C_{1}d_{e}^{2}}}\left[\beta ^{2}-3\beta {\frac {\delta }{t}}+{\frac {3}{2}}\left({\frac {\delta }{t}}\right)^{2}+1\right]}
各四隅の応力: