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# Simply Supported UDL Beam Formulas | Bending Moment Equations

 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