# 断面の計算

### 計算方法表

 断面 重心位置 断面積 断面係数 断面2次モーメント e【mm】 A【$$mm^2$$】 Z【$$mm^3$$】 i【$$mm^4$$】 $\frac {H}{2}$ $H^2$ $\frac {H^3}{6}$ $\frac {H^4}{12}$ $\frac {H}{2}$ $H^2-h^2$ $\frac {1}{6} × \frac {H^4-h^4}{H}$ $\frac {H^4-h^4}{12}$ $\frac {H}{2}$ $H^2-(\frac {πd^2}{4})$ $\scriptsize \frac {1}{6H}×(H^4-\frac {3π}{16}d^4)$ $\scriptsize \frac {1}{12}×(H^4-\frac {3π}{16}d^4)$ $\frac {H}{2}$ $BH$ $\frac {BH^2}{6}$ $\frac {BH^3}{12}$ $\frac {H}{2}$ $HB-hb$ $\scriptsize \frac {1}{6H}×(BH^3-bh^3)$ $\scriptsize \frac {1}{12}×(BH^3-bh^3)$ $\frac {H}{2}$ $B(H-h)$ $\scriptsize \frac {B}{6H}×(H^3-h^3)$ $\scriptsize \frac {B}{12}×(H^3-h^3)$ $\frac{H\sqrt{2}}{2}$ $H^2$ $0.1179H^3$ $(\frac{\sqrt{12}}{2}×H^3)$ $\frac {H^4}{12}$ $\frac {H}{2}×\sqrt{2}$ $H^2-h^2$ $\scriptsize 0.1179×(\frac{H^4-h^4}{H})$ $\scriptsize (\frac{H^4-h^4}{12H}×\sqrt{2})$ $\scriptsize \frac {H^4-h^4}{12}$ $\frac {D}{2}$ $\frac {πD^2}{4}$ $πR^2$ $\frac {πD^3}{32}$ $(\frac {πR^3}{4})$ $\frac {πD^3}{64}$ $(\frac {πR^4}{4})$ $\frac {D}{2}$ $\frac {π}{4}×(D^2-d^2)$ $\scriptsize \frac {π}{32}×(\frac {D^4-d^4}{D})$ $\scriptsize ｛\frac {π}{4}×(\frac {R^4-r^4}{R})｝$ $\scriptsize \frac {π}{64}×(D^4-d^4)$ $\scriptsize ｛\frac {π}{4}×(R^4-r^4)｝$ $\frac {2H}{3}$ $\frac {BH}{2}$ $\frac {BH^2}{24}$ $\frac {BH^3}{36}$ $\scriptsize e1=\frac {(3B_1+2B_2)}{(2B_1+B_2)}×\frac {H}{3}$ $\scriptsize e2=H-e1$ $\scriptsize (2B_1+B_2)×\frac{H}{2}$ $\scriptsize \frac{{6B_1}^2+6B_1B_2+{B_2}^2}{12×(3B_1+2B_2)}×H^2$ $\scriptsize \frac{({6B_1}^2+6B_1B_2+{B_2}^2)}{36×(2B_1+2B_2)}×H^2$ $0.866a$ $(\frac{\sqrt{3}}{2}×a)$ $2.598a^2$ $(\frac{3\sqrt{3}}{2}×a^2)$ $\frac{5}{8}×a^3$ $0.5413a^4$ $(\frac{5\sqrt{3}}{16}×a^4)$ $a$ $2.598a^2$ $(\frac{3\sqrt{3}}{2}×a^2)$ $0.5413a^3$ $(\frac{5\sqrt{3}}{16}×a^3)$ $0.5413a^4$ $(\frac{5\sqrt{3}}{16}×a^4)$ $0.924a$ $2.828a^2$ 0.6906 $0.5413a^4$ $(\frac{5\sqrt{3}}{16}×a^4)$ $0.4142a$ $\frac{a}{1+\sqrt{2}}$ $2.828a^2$ 0.1095 0.0547 e1=0.2234r e2=0.7766r $r^2(1-\frac{π}{4})$ $0.00966r^3$ $(\frac{r^4}{e2}×0.0075)$ $0.0075r^4$ a πBa $\frac{π}{4}Ba^3$ $\frac{π}{4}Ba^2$ $e1=0.4244r$ $e2=0.5756r$ $\frac{πr^2}{2}$ $z1=0.2587r^3$ $z2=0.1908r^3$ $(\frac{π}{8}-\frac{8}{9π})×r^4$ $e1=0.4244r$ $e2=0.5756r$ $\frac{πr^2}{4}$ $z1=0.1296r^3$ $z2=0.0956r^3$ $0.055r^4$ $\frac{H}{2}$ $2v(H-D)+\frac{πd^2}{4}$ $\scriptsize \frac{1}{12}×｛\frac{3π}{16}D^4$ $\scriptsize +v(H^3-D^3)$ $\scriptsize +v^3(H-D)｝$ $\scriptsize \frac{1}{6H}×｛\frac{3π}{16}D^4$ $\scriptsize +v(H^3-D^3)$ $\scriptsize +v^3(H-D)｝$ $\frac{H}{2}$ $\scriptsize 2v(H-d)+\frac{π(D^2-d^2)}{4}$ $\frac{2×H}{3}$ $\frac{2×H}{3}$ $\frac{H}{2}$ $HB-hb$ $\frac{BH^3-bh^3}{6H}$ $\frac{BH^3-bh^3}{12}$ $e1=H-e1$ $\scriptsize e2=\frac{(vH^2+bt^2)}{(vH+bt)}×\frac{1}{2}$ $\scriptsize HB-b(e2+h)$ $z1=\frac{i}{e1}$ $z2=\frac{i}{e2}$ $\scriptsize \frac{Be1^2-bh^3+ve2^3}{3}$ $\frac{H}{2}$ $HB+hb$ $\frac{BH^3+bh^3}{6H}$ $\frac{BH^3+bh^3}{12}$ $\frac{H}{2}$ $HB-hb$ $\frac{BH^3-bh^3}{6H}$ $\frac{BH^3-bh^3}{12}$ $e1=H-e1$ $\scriptsize e2=\frac{vH^2-bt^2}{vH+bt}×\frac{1}{2}$ $HB-b(e2+h)$ $z1=\frac{i}{e1}$ $z2=\frac{i}{e2}$ $\scriptsize \frac{Be1^2-bh^3+ve2^3}{3}$