Mohr`s integral calculator

Length of segment
Values on first diagram (it may be curved)
On the left In middle On the right
Values on first diagram
On the left In middle On the right

Diagram equations

$$f(z) = -9.52\cdot z^2 +35.2\cdot z +12$$ $$y(z) = -2.86\cdot z +4$$

Mohr`s integral by Simpson rule

$$\int f(z) \cdot y(z) dz = \frac{ L}{6}(y_{laft} \cdot f_{left}+4*y_{mid} \cdot f_{mid}+y_{right} \cdot f_{right}) = $$ $$ = \frac{4.2}{6}(12\cdot4+4*44\cdot-2+-8\cdot-8) = -168$$

Mohr`s integral by Area rule

$$\int f(z) \cdot y(z) dz =\Omega \cdot y_c = 126 \cdot -1.33 = -168 $$