- Below are the Beam Formulas and their respective SFD's and BMD's
A simply supported beam is the most simple arrangement of the structure. The beam is supported at each end, and the load is distributed along its length. A simply supported beam cannot have any translational displacements at its support points, but no restriction is placed on rotations at the supports. |

Bending Beam Formula Video **Click on Images to enlarge**

**Fig:1** Formulas for Design of Simply Supported Beam having Uniformly Distributed Load are shown at the right

**Fig:2** Shear Force & Bending Moment Diagram for Uniformly Distributed Load on Simply Supported Beam

Figure 2 | Figure 1 |

**Fig:3** Formulas for Design of Simply Supported Beam having Uniformly Distributed Load at its mid span

**Fig:4** SFD and BMD for Simply Supported at midspan UDL carrying Beam

Figure 4 | Figure 3 |

**Fig:5** Shear Force and Bending Moment Diagram for Simply Supported Uniformly distributed Load at left support

**Fig:6** Formulas for finding moments and reactions at different sections of a Simply Supported beam having UDL at right support

Figure 5 | Figure 6 |

**Fig:7** SFD and BMD for UDL at both ends

**Fig:8** Formulas for analysis of beam having SFD and BMD at both ends

Figure 7 | Figure 8 |

**Fig:9** Collection of Formulas for analyzing a simply supported beam having Uniformly Varying Load along its whole length

**Fig:10** Shear force diagram and Bending Moment Diagram for simply supported Beam having UVL along its span

Figure 10 | Figure 9 |

**Fig:11** SFD and BMD for simply supported beam having UVL from the midspan to both ends

**Fig:12** Formulas for calculating Moments and reactions on simply supported beam having UVL from the midspan to both ends

Figure 11 | Figure 12 |

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