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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