Engineering, 10.04.2020 00:43 er38061
Consider the fourth order differential equation describing the transverse displacement of a beam under bending with effective stiffness EI=1, where E the Young's Modulus and I the secondmoment of area:-u""(x) = f(x), 0 < x < 1.With this problem we need four boundary conditions, such as:u(0) = 1, u' (0) = 0, 6
u"(1) = 0, u"'(1) = -1.
a) Determine a symmetric weak form for this problem, and state appropriate spaces for u and test function v. b) Can we use continuous piecewise linear approximations for u for this problem? Do a wide literature review and propose a solution for the choice of the basis functions for the symmetric weak formulation that you proposed above. What basic physical parameters (displacement, curvature) this basis satisfy
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The thermal expansion or contraction of a given metal is a function of the f a)-density b)-initial temperature c)- temperature difference d)- linear coefficient of thermal expansion e)- final temperature f)- original length
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Consider the fourth order differential equation describing the transverse displacement of a beam und...
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