Recitation 8

Recitation 8 - Shear and Moment Diagrams

By Alexandra Salinas

Sign Conventions For Today

MEEN 305

Shear and Moment Diagrams

Two Methods for Solving

• Using overall areas and integration equations.

• Similar triangles

• Best for simpler loading​ conditions.

​2. Graphical Method

• Make a cut wherever the internal loadings change.

• ​Solve for V and M with respect to the length of the beam (x).

• Best for complex loading situations​

​1. Equation Method

​Draw the shear and moment diagrams for the beam.

​

Determine the shear and moment equations in the beam as functions of x, where 4 ft < x < 10 ft.

Question 1:

Equation Method​

​Draw the shear and moment diagrams for the beam.

​

Determine the maximum shear and maximum moment in the beam.

Question 2:

Graphical Method​

Draw the shear and moment diagrams for the beam using equation method.

​

Determine the maximum shear and maximum moment in the beam.​

​

Question 3: Equation Method

Draw the shear and moment diagrams for the beam using graphical method.

​

Determine the maximum shear and maximum moment in the beam.​

​

Question 4: Graphical Method

​Draw the shear and moment diagrams for the beam using equation method.

​

Determine the maximum shear and maximum moment in the beam.​

​

Question 5:

Equation Method​

​Draw the shear and moment diagrams for the beam using graphical method.

​

Determine the maximum shear and maximum moment in the beam.​

​

Question 6:

Graphical Method​