Mumbai university > MECH > SEM 3 > Strength Of Materials

Marks: 5M

Year: June 2014

The assumptions made in the Theory of Simple Bending are as follows:

• The material of the beam that is subjected to bending is homogenous (same composition throughout) and isotropic(same elastic properties in all directions).

• The beams have a symmetrical cross section and they are subjected to bending only in the plane of symmetry.

• The beam is made up of a number of fibers that run longitudinally to each other and are all straight initially. On bending, they do so in the form of circular arcs, with a common centre of curvature.

• The effect of Shear stresses is neglected. The bam is subjected to pure bending.

• No warping of the cross section takes place. That is, transverse sections through the beam taken normal to the axis of the beam ramin plane after the beam is subjected to bending.

• The dimensions of the beam are very small as compared to the radius of curvature of the beam.