The Present Paper Demonstrates the Deflection Analysis of Simply Supported Beam Subjected to Uniformly Distributed Load. This Work Includes a Comparative Study of Deflection of Beam Obtained By Using 4Th Degree Polynomial, 2Nd Degree Polynomial For the Field Variable and Finite Element Approach. This Paper Helps the Engineering Students & Research Scholars to Understand and Interpret the Results of Analytical Method, Weak Form of Weighed Residual Method and Fea Analysis of Beam.