Shear-Moment (V-M) Diagrams: Cantilever Beam
Conceptual Questions - Relationships between Distributed Load, Shear, and Moment
The slope of the shear diagram at a point along a beam is equal to,
Between any two points along a beam, the change in shear is equal to,
At a point along a beam, the slope of the moment diagram is equal to,
Between any two points along a beam, the change in momentis equal to,
If a concentrated force acts upward on the beam, on the shear diagram the shear force V will,
At points where shear is equal to 0 (), the moment diagram will,
If a clockwise couple moment acts at a location on the beam, the shear diagram will,
If a clockwise couple moment acts at a location on the beam, the moment diagram will,
Use the Figure to Draw Shear and Moment Diagrams
For a uniformly distributed load, the shape of the shear curve is linear because,
For a uniformly distributed load, the shape of the moment curve is,
For a uniformly distributed loadN/m with a beam length of 3m, what is the correct expression for the change in momentbetween a and b?
What happens to the shape of the shear curve as the distributed load changes from a uniformly varying load, starting from zero at the free end, to a uniformly distributed load?
What happens to the shape of the moment curve as the distributed load changes from a uniformly varying load, starting from zero at the free end, to a uniformly distributed load?
For a cantilever beam with a uniformly varying load starting at zero at the free end, why does the slope of the shear curve decrease along the length of the beam?
Cantilever with a Point Load
When only a single point load acts on the cantilever beam, why is the slope of the shear force diagram up to the point load?
If the point load acts at the free end of the beam, what is the shear force just to the left of the point load?
If the point load acts at the free end of the beam, where is the max shear located?
What is the shape of the bending moment curve if the point load acts at the free end of the beam?
If a point load P acts at a distance x along the cantilever, what is the magnitude of the maximum bending moment at the support?
If the length of the beam were doubled while keeping the point load at the free end, what would happen to the magnitude of the bending moment at the support end of the beam?