Problem 1.1 Consider the beam bending problem below 2 Po Consider the beam to be homogenous...
(4.15) Consider a doublely built-in beam of length L with a transverse load of magnitude P in the positive direction at x - L/2 a) By approximately minimizing the potential system find the displacement energy of the ield for the beam: use a subspace with one degree of freedom (b) Compare your approximation to the exact an accurate plot of normal- answer with ized non-dimensional deflection versus non- dimensional position. Make sure that vou clearly label your axes, have a...
4. Consider the transverse bending vibration of the uniform Euler-Bernoulli beam shown in Fig. P-4, where w(a.t) is the transverse displacement, m is the mass per unit length, and El is the bending stiffness. The beam is sliding-guided without friction at its two ends, 0, = l, which yields boundary conditions of zero slope and zero shear (3rd derivative of w) at both ends. Answer the following questions. Assume that there is no effect of gravitational force. (다음 그림 Fig....
2. Consider the system shown in the figure below, comprised of the same motor, steel beam, steel cable and crate All assumptions and properties are the same with one exception; the cable is no longer considered as rigid Cable properties: length = 4 m, diameter = 0.007 m, E = 207 GPa, Calculate the equivalent stiffness of the cable, in units of N/m. (See table 4.1.1 in your textbook) Draw an equivalent system diagram where the beam and cable each...
I need solution for Problem 2 FL = 0 pinned u(0) 0 Consider a cable loaded statically by a sinusoidal distribution of transverse load q = qsin (프 with 50, L 10. The prestressing force is P = 30 qL. The left-hand end is pinned, and there's no force applied at the right-hand end. Compute the approximate solution for the deflection of the wire from the Galerkin formulation. Consider a one-term approximation with the test function η1-x, and the basis...
(15 points) Encounter with a semi-infinite potential "well" In this problem we will investigate one situation involving a a semi-infinite one-dimensional po- tential well (Figure 1) U=0 region 1 region 2 region 3 Figure 1: Semi-infinite potential for Problem 3 This potential is piecewise defined as follows where Uo is some positive value of energy. The three intervals in x have been labeled region 1,2 and 3 in Figure 1 Consider a particle of mass m f 0 moving in...