To study matrix methods there are some pre-requisites : i) Matrix Algebra - Addition, subtraction ,Multiplication & inversion of matrices (Adjoint Method ) ii) Methods of finding out Displacements i.e. slope & deflection at any point in a structure, such as a)Unit load method or Strain energy method b) Moment area method etc. Theorem I. The change in slope between the tangents drawn to the elastic curve at any two points A and B is equal to the product of 1/EI multiplied by the area of the moment diagram between these two points. θ A B = 1 E I ( A r e a A B) Area Moment Method Part 1 - Basic Concepts | Theory of Structures - YouTube.

Question 2: n fixed-fixed beam of length 30 cm is put under a uniform load of 200 gm having x as 20 cm. Determine the moment. Solution: Given parameters are. Length L = 30 cm, Uniform load w = 200 gms, Displacement x = 20 cm. The moment is. V = −wx 2 /2 = −0.2kg×0.2 2 / 2 = 0.004 kg m 2.

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