A frame is a structure composed of several members that are either fixed–or pin–connected at their ends.

It is often necessary to draw shear and moment diagrams to design frames

### Procedure for analysis

The following is a procedure for constructing the shear and moment diagrams for a frame

- Determine the support reactions for the frame, if possible.
- Determine the support reactions A, V, and M at the end of each member using the method of sections.
- Construct both shear and moment diagrams just as before.

We will use the following sign convention: always draw the moment diagram on the compression side of the member.

#### Practical Example

**Draw the shear and moment diagrams for the following frame:**

**First, find as many external reactions as possible.**

**Second, cut the frame into its component members and find the internal reactions**

**Next, solve the equations of equilibrium for each member. Let’s start with member AB.**

**Next, solve the equations of equilibrium for member CD.**

**Now, let’s draw the shear and moment diagram (remember to draw the diagram on the compression side of the member).**