19.1 | VM Diagrams

At the end of this section you should be able to:

  1. Use the correct sign convention for internal- shear force and bending moment in a beam

  2. Create the V-M diagram for a statically-determinate beam with

    • External supports

    • Point loads

    • Uniformly- and triangularly-distributed loads

    • Point couples

    • Internal supports

Hibbeler 9e F6.2: Finding zero-crossing of M-diagram using similar triangles

Hibbeler 9e 6.19: Multiple critical lines in V and M diagrams

Hibbeler 9e 6.25: Detecting max value on M diagram using zero-crossing on V

Hibbeler 9e 6.8: Detecting max value on M diagram using zero-crossing on V

Hibbeler 9e 6.41: Multi-member beam with max and zero-crossing on M

Hibbeler 9e 6.20: Triangularly-distributed loading

Mathematica Code