Question

The equation for the bending of a strut is EI
+Py=0
dp? *
If y = 0 when x = 0, and y = a when x = 5, find y.​

Answer 1

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Answer 2

Answer:

solved below

Step-by-step explanation:

EI y'' + Py = 0

 y'' + (P/EI)y = 0 , let p/EI = K²

y'' + k²y = 0

(D² + k²)y = 0 , D = ±ki

y = A sinkx + B coskx

y = 0 when x = 0 , b = 0

y = a when x = 5 , a = A sin5k , A = a/sin5k

y = asin kx / sin5k , k = √p/EI