⟩ Explain me what are the assumptions made in simple theory of bending?
The assumptions made in the theory of simple bending are:
☛ > The material of the beam is homogeneous this implies that it is uniform in density, strength and have isotropic properties meaning possessing same elastic property in all directions.
☛ > Even after bending the cross section of the beam remains constant.
☛ > During the initial stages the beam is straight and unstressed.
☛ > All the stresses in the beam are within the elastic limit of its material.
☛ > The layers of the beam are free to contract and expand longitudinally and laterally
☛ > On any cross section the perpendicular resultant force of the beam is zero.
☛ > Compared to the cross-sectional dimension of the beam the radius of curvature is very large.