The stress field for a beam of length 2l and depth 2c under end bending moments M (see Fig. 8.2) is given by:

Fig 8.2

Determine the strain energy density and show that the total strain energy in the beam is given by:

where I is the section moment of inertia. Assume unit thickness in the z-direction.

Transcribed Image Text:

Ox 3M 2,3, dy = 0z = txy=tyz =tzx=0