The shape of BMD (Bending Moment Diagram) for a simply supported beam carrying distributed load of zero intensity over one support to linearly wearing nature of intensity w over the other support can be explained as follows:

1. Calculation of reactions: The first step is to calculate the reactions at the supports. As the distributed load is zero intensity, the reactions will be equal and opposite.

2. Determination of equation of shear force: The equation of shear force can be obtained by integrating the load intensity over the length of the beam. As the load is zero intensity over one support, the shear force will be constant over that length. On the other hand, as the load intensity is linear over the other support, the shear force will change linearly over that length.

3. Calculation of maximum shear force: The maximum shear force will occur at the point where the load intensity changes from zero to linear. This can be calculated by equating the shear force equation on either side of the point and solving for the unknown.

4. Determination of equation of bending moment: The equation of bending moment can be obtained by integrating the shear force equation over the length of the beam. As the shear force is constant over one support, the bending moment will change linearly over that length. On the other hand, as the shear force is linear over the other support, the bending moment will change quadratically over that length.

5. Calculation of maximum bending moment: The maximum bending moment will occur at the point where the shear force is maximum. This can be calculated by differentiating the bending moment equation and equating it to zero.

6. Sketching of BMD: Based on the equations of shear force and bending moment, the BMD can be sketched. The BMD will be a linearly increasing curve over the support with zero intensity load and a parabolic curve over the support with linearly varying load.

In summary, the BMD for a simply supported beam carrying distributed load of zero intensity over one support to linearly wearing nature of intensity w over the other support will have a linearly increasing curve over the support with zero intensity load and a parabolic curve over the support with linearly varying load. The maximum shear force and bending moment will occur at the point of change in load intensity.

I think it s BMD will be cubic change.