Question

A uniform horizontal beam OA, of length a and
weight w per unit length, is clamped horizontally
at O and freely supported at A. The transverse
displacement y of the beam is governed by the
differential equation
where x is the distance along the beam measured
from O, R is the reaction at A, and E and I are
physical constants. At O the boundary conditions
are y(0) = 0 and . Solve the
differential equation. What is the boundary
condition at A? Use this boundary condition to
determine the reaction R. Hence find the maximum
transverse displacement of the beam.

How to answer this question without using MATLAB?

6 A uniform horizontal beam OA, of length a and weight w per unit length, is clamped horizontally at O and freely supported at A. The transverse displacement y of the beam is governed by the differential equation dx2 where x is the distance along the beam measured from O, R is the reaction at A, and E and I are physical constants. At O the boundary conditions dy are yo0and differential equation What is the boundary condition at A? Use this boundary condition to determine the reaction R. Hence find the maximum transverse displacement of the beam.

Answer 1

0 g. clamfed cl 'Integrating once eoYt。 ain cos tox て 石 24 6 て- 2니 20,

3)-下 16 to d to be maximum, dy a-x-a) a-X).te»am] +彋a (a-a+x) (a+Q-x)-0 χ-o įgaeoluhon-for this; but it gives mnimum Value or y "X[-72+ 2ar t 3a.IS(2a*.ar)] : Ο

2(-16) ←33 aさ77,98 a -32 534 7972 0 524 -77,964 32a-77.9ea 33a + 77.98 9 -1.uo5a 3. 46e a maximum transverse dkep lacement of beam But I think this Value is corong ocxa But the psoredure is this. There might be Some eimplif caten esrs n my calulations please re it a toy