Consider a uniform beam of 1 m long simply supported at both ends, the bending moment is given by y" = , M(x) where y(x) is the deflection, M(x) is the bending moment and EI is EI the flexural rigidity. Assume that the deflection distribution is among the following: 0.0 0.2 0.4 0.6 0.8 1.0 y(x) 0.0 7.78 10.68 8.37 3.97 0.0 Assume, EI = 1.2 x 107NM². ESTIMATE bending moment for x 0.1, 0.55,0.9.

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.