The equation of the elastic curve for the cantilever beam ab, the deflection at the free end, the slope at the free end:
(a) The equation of the elastic curve for cantilever beam AB is
y(x) = (F/2EI)*x^2
(b) The deflection at the free end is
y(L) = (F/2EI)*L^2
(c) The slope at the free end is
dy/dx = (F/EI)*L
What is elastic curve?
Elastic curve is a mathematical concept that is used to describe the behavior of a system when a force is applied to it. It is defined as the ratio of the change in strain divided by the change in stress. Elastic curves are used to predict the behavior of materials when subjected to various forces and to determine the stiffness of a material. They are also used to calculate the elastic modulus, which is the measure of the stiffness of a material. Elastic curves are important for understanding how different materials react to forces and for designing structures. They are also used in engineering and manufacturing applications to determine the amount of force that is needed to deform a material and the level of strain that can be applied before a material fails.
To learn more about elastic curve
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