Question

Linear beam eqution is​

Answer 1

Answer:

Assuming that the deflection of the beam is sufficiently small, we can neglect the first derivative y′. Then the differential equation of the elastic line can be written as follows: y′′=M(x)EIord2ydx2=M(x)EI. The bending moment M(x) can be expressed in terms of the known external load q(x) acting on the beam.

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