calculation displacement in halfway [sdc]

[reye]

hello to all, how do you calculate the displacement in halfway of the structure reported in the annex? Is there any form to refer to the above calculation? on a test carried out by my professor calculates it as the maximum shift and does not seem correct.
Thank you.

 

[peloritano]

use the method of the elastic line.... practically impose a series of differential equations of simple resolution. . after which you find the equation of the shift according to y (ascissa on the axis of the beam) calculate the derivative and find the maximum or minimum point. . .
it seems difficult but it only takes 2 minutes

 

[matteo calzaferri]

Hi.
The maximum arrow is:

f = rdq*m*l^2/(27*e*i) = 0.064*(m*l^2)/(e*i)

I found it with the elastic line and then found confirmation on a manual of mechanics.

 

[reye]

but in the case in attachment the maximum arrow does not fall in half-carry.. Am I wrong? Isn't he decentralized?

 

[matteo calzaferri]

is not in half-work but in x = l/ radq(3)

with x(a)=0 and x(b)=l

 

[reye]

verified, thank you very much