Substructure Help

Sign Conventions

The sign conventions for Bending Moment Diagram (BMD) and Shear Force Diagram (SFD) are as follows:

For Bending Moment Diagram (BMD), Substructure follows the right-hand rule, that is, if the moment vector is acting along the positive direction of any axis, it is a positive moment about that axis. In other words, when considering the moment acting about any axis, if the moment is counter-clockwise looking from the positive direction of that particular axis, the moment is positive.

The figure below illustrates the bending moment diagram (drawn on tension side) as per the above sign convention for the frame in Tutorial 1 (load combination #46).

Figure 1. Bending Moment Diagram for Load Combination #46 from Tutorial 1 (Moments shown in k-ft) (T indicates tension)

The figure below shows the sign convention for BMD (right-hand rule).

Figure 2. Sign Convention for BMD

For Shear Force Diagram (SFD), the program follows the standard left up/right down positive sign convention, as shown below.

Figure 3. Sign Convention for SFD

For axial loads, if a load acts along the positive direction of the axis, it is positive.

Note: In all three cases, the sign for a particular load may vary depending on whether the local or global coordinate system is being considered.