zero stress
A cantilever beam is a beam which is fixed at one end ( no translation or rotation). A propped cantilever beam is a beam which is fixed at one end ( no translation or rotation) and simply supported ( no translation) at the other end. A cantilever beam is a beam which is fixed at one end ( no translation or rotation). A simply supported beam is a beam which is simply supported at both ends. A propped simply supported beam is a beam which is simply supported at both ends and simply supported at some other point such as at the center, to reduce deflection under load. Propped beams are statically indeterminate.
As the intensity of pressure increases with depth so for an inclined surface CP is bellow CG. Center of gravity : a point from which the weight of a body or system may be considered to act. In uniform gravity it is the same as the center of mass.
solid beam have more deflection
Deflection of beam depends upon load and length of beam. Larger the beam, larger will be it's selfweight
There isn't really an advantage of having a fixed beam vs. a simply supported beam, it depends on what application the beam is for. If one of the design criteria of the beam is that it be able to deflect from one end to another then you are going to want to use a fixed beam. For example such applications could include a diving bored. A simply supported beam differs from a fixed beam because the beam is supported at both ends. Thus when a simply supported beam is loaded, the deflection will occur throughout the beam, since the ends are confined and will remain as they were. Furthermore on a fixed beam, (the end that is fixed) will have restrictive forces and moments keeping the end from moving.
The moment of a beam is twice that for central load vs uniform load for a simple support beam; hence it needs twice the section modulus for sizing; for fixed ends the moment is 50% higher for central load vs uniform load
A beam with a uniform cross-section.
Usually this indicates an error or a misunderstanding. A single beam cannot be of uniform length.
Bending moment is the same throughout the beam.
The stress you induce on the beam is equal to weight hanging on the beam. The answer for the where part of the question is in the question. You said it yourself; you hang the weight from the center of the beam, therefore the stress of the weight will be in the center of the beam.
To obtain uniform strength.
If the cube is uniform ( ie it has uniform density) then the geometric center of the cube is its center of gravity.
in the center
It is the center of the beam, if the beam is supported at both ends.
It depends on which community center your are cheering at.
"Very funny Scotty! Now beam me down my uniform."
Guidelines are; 1. Staggered 2. Uniform