# three-moment equation

## Continuous Beam With Equal Support Reactions

**Situation**

A beam 100 mm × 150 mm carrying a uniformly distributed load of 300 N/m rests on three supports spaced 3 m apart as shown below. The length *x* is so calculated in order that the reactions at all supports shall be the same.

1. Find *x* in meters.

A. 1.319 | C. 1.217 |

B. 1.139 | D. 1.127 |

2. Find the moment at *B* in N·m.

A. -240 | C. -242 |

B. -207 | D. -226 |

3. Calculate the reactions in Newton.

A. 843.4 | C. 863.8 |

B. 425.4 | D. 827.8 |

## Problem 872 | Continuous Beam with Spring End-Support

**Problem 872**

Repeat Problem 871 assuming the loadings on the spans are interchanged.

## Problem 851 | Continuous Beams with Fixed Ends

**Problem 851**

Replace the distributed load in Problem 850 by a concentrated load P at the midspan and solve for the moment over the supports.