Experience the power of community-driven knowledge on IDNLearn.com. Whether it's a simple query or a complex problem, our community has the answers you need.
Sagot :
The elastic curve between 0 to L/2 is a cubic curve. And the elastic curve is shown in the given diagram.
What is an elastic curve?
The flexible curve of a beam is the curve generated by the crossover of the horizontal member with the beam's side, with continuous stresses on the fibers considered to be within the elastic limit.
The slope at L/2 will be
[tex]\rm \theta _{L/2} = \dfrac{PL^2}{8EI}[/tex]
The deflection of the beam at L/2 will be
[tex]\rm y_{L/2} = \dfrac{P(L/2)^3}{3EI}\\\\\rm y_{L/2} = \dfrac{PL^3}{24EI}[/tex]
And the deflection of the beam at L will be
[tex]\rm y_{L} = \dfrac{PL^3}{24EI} + \dfrac{L}{2} \times \theta _{L/2} \\\\\rm y_{L} = \dfrac{PL^3}{24EI} + \dfrac{L}{2} \times \dfrac{PL^2}{8EI}\\\\\rm y_{L} = \dfrac{5PL^3}{48EI}[/tex]
Then the elastic curve will be shown in the diagram.
More about the elastic curve link is given below.
https://brainly.com/question/24230581
#SPJ4

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.