The 8-meter span AC beam made of steel material with a section height of 40 cm and a width of 20 cm carries the mass of m = 50kg at the B point. Assuming that the mass m is at rest (u (0) = 0 m / s) at t = 0 sec and has a displacement of 10 mm (u (0) = 10 mm) in the downward direction in the Single Degree of Freedom system, which is created by neglecting the mass of the beam and supports: a) Write the equation for the mass m. b) Calculate the period (T) of the vibrational motion. c) Calculate the velocity and displacement of the mass m at time t = 3 seconds. g=9.81 m/s2 , Esteel= 200 GPa

Q: Consider the beam with an overhang shown in the figure. a. Determine the shear force V and bending…

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Q: Consider the loaded beam in the figure below: the closest number to vertical reaction force at A…

A: Let reaction at A is RA Moment at C is zero, thereforeRA×9-24×6-24×3×1.5 = 0RA×9 =252RA = 28 kN

Q: The beam in the following figure is level before the distributed load is applied. The maximum moment…

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Q: Calculate the support reactions for the indeterminate beam shown.

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Q: In Figure, determine the components of reaction at the ball-and-socket joint A and the tension in…

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Q: The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200…

A: The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200…

Q: A cylindrical container of radius R = 1 ft, and height of 3 ft rotates at and angular velocity w =…

A: The resulting force created by the pressure loading of a liquid acting on submerged surfaces is…

Q: A hole is punched at A in a plastic sheet by applying a 540-N force P to end D of lever CD, which is…

A: P = 540 NG = 77.2 GPa or 77200 MPa80 MPa

FEA for Dynamic Problems

Finite element analysis or FEA is a computational tool that evaluates the approximate solution for a particular engineering problem. The tools provided by FEA help to evaluate the solutions of partial differential equations (PDEs) computationally following a numerical approach. Solutions of the PDEs can also be performed by following traditional algebraic approaches, but when the problem gets towards the complex side, it becomes very tedious and almost impossible to arrive at the solutions. In such cases, the FEA fulfills the purpose by evaluating the equations following multiple time steps and iterations. The more the time steps and iterations, the more accurate the solution. The solution plotted by FEA analysis and mathematical approaches varies asymptotically.