Pure bending

Pure bending is a condition of stress where a bending moment is applied to a beam without the simultaneous presence of axial, shear, or torsional forces.Pure bending occurs only under a constant bending moment (M) since the shear force (V), which is equal to d M d x = V {displaystyle {frac {dM}{dx}}=V} , has to be equal to zero. In reality, a state of pure bending does not practically exist, because such a state needs an absolutely weightless member. The state of pure bending is an approximation made to derive formulas. Pure bending is a condition of stress where a bending moment is applied to a beam without the simultaneous presence of axial, shear, or torsional forces.Pure bending occurs only under a constant bending moment (M) since the shear force (V), which is equal to d M d x = V {displaystyle {frac {dM}{dx}}=V} , has to be equal to zero. In reality, a state of pure bending does not practically exist, because such a state needs an absolutely weightless member. The state of pure bending is an approximation made to derive formulas. Notes: 1 Homogeneous means the material is of same kind throughout. 2 Isotropic means that the elastic properties in all directions are equal.