Engineering, 01.07.2020 16:01 xxaurorabluexx

The equation governing the deflection y of a simply supported beam of length L under uniform loading w is EI d^2y/dx^2 = wLx/2 - wx^2/2
with boundary conditions y(0) = y(L) = 0. Let E = 150GPa, I = 20000cm, w = 20kN/m, and L = 2m.
(a) Determine the discretized template equation by substituting in a central finite difference approximation. Put all terms involving the dependent variable on the left side, and other terms on the right. Eliminate the denominators on the left side if possible.
(b) Use the template equation (similar to Eq 9.4 in the lecture notes), along with the boundary condition equations to write a set of equations in matrix form that could be solved for the nodal values of y. Use 5 nodes, such that Ac = 0.5.

Answers: 3

Show answers

Other questions on the subject: Engineering

Engineering, 04.07.2019 18:10, mm016281

What difference(s) did you notice using a pneumatic circuit over hydraulic circuit. explain why the pneumatic piston stumbles when it hits an obstacle.

Answers: 2

continue

Engineering, 04.07.2019 18:10, ahmedeldyame

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Answers: 1

continue

Engineering, 04.07.2019 18:10, dval1146

You are making beer. the first step is filling the glass carboy with the liquid wort. the internal diameter of the carboy is 15 in., and you wish to fill it up to a depth of 2 ft. if your wort is drawn from the kettle using a siphon process that flows at 3 gpm, how long will it take to fill?

Answers: 1

continue

Engineering, 04.07.2019 18:10, oliviasoreo92

Compute the pressure drop of 30°c air flowing with a mean velocity of 8 m/s in a circular sheet-metal duct 300 mm in diameter and 15 m long. use a friction factor, f 0.02, and pair = 1.1644 kg/m a. 37.26 pa b. 25.27 pa n c. 29.34 pa d. 30.52 pa

Answers: 1

continue

You know the right answer?

The equation governing the deflection y of a simply supported beam of length L under uniform loading...