Final answer:
For cantilevered beams, the maximum shear force (V max) and maximum bending moment (M max) are found at the fixed support, where both the shear force and bending moment are highest.
Step-by-step explanation:
The question asks about the locations of maximum shear force (V max) and maximum bending moment (M max) on shear and moment diagrams for cantilevered beams. In a cantilever beam, which is a beam fixed at one end and free at the other, V max typically occurs at the support where the beam is fixed. This is because the shear force is greatest where the reaction forces are applied to support the beam. On the other hand, M max also occurs at the fixed support for a cantilever beam, as this is where the bending moment is the highest due to the beam's tendency to rotate around the fixed support under loading. The distribution and values for V max and M max are influenced by the type, magnitude, and distribution of loads applied to the beam.