Civil Engineering Formulas

The ACI Code gives approximate formulas for finding shear and bending moments in continuous beams and oneway slabs. A summary list of these formulas follows. They are equally applicable to USCS and SI units. Refer to the ACI Code for specific applications of these formulas.
| End spans | |
| If discontinuous end is unrestrained | |
| If discontinuous end is integral with the support | |
| Interior spans | |
| Negative moment at exterior face of first interior support | |
| Two spans | |
| More than two spans | |
| Negative moment at other faces of interior supports | |
| Negative moment at face of all supports for ( a) slabs with spans not exceeding 10 ft (3 m) and ( b) beams and girders where the ratio of sum of column stiffness to beam stiffness exceeds 8 at each end of the span | |
| Negative moment at interior faces of exterior supports, for members built integrally with their supports | |
| Where the support is a spandrel beam or girder | |
| Where the support is a column | |
| Shear in end members at first interior support | |
| Shear at all other supports | |
Reactions to a supporting beam, column, or wall are obtained as the sum of shear forces acting on both sides of the support.