Calculate bending moment

Section 10

Beam simply supported at the ends and loaded with a load constant distributed over a portion of it

Notations

P – concentrated load or sum of distributed loads (daN)

p – intensity of distributed load (daN / cm)

M₀ – external moment (daN cm)

T – shear force applied to the beam in a certain section (daN)

M – bending moment applied to the beam in a certain section (daN cm)

y – arrow in the section with abscissa x (cm)

f – maximum arrow (f = y_max) (cm)

“alpha” – the angle of the deformed average fiber (radians)

E – longitudinal modulus of elasticity of the beam’s material (daN / cm²)

The horizontal axis, which passes through the center of gravity of the cross section, is the main axis of the section and the moment of inertia in relation to this axis is noted with <I> (cm⁴).

The rule of signs. The reaction, the shear force T upwards and the bending moment M, which produces a curvature of the beam with the concavity upwards, are considered positive.