 Exemplos de verificação

Center of Gravity

VE 0081

16 de outubro de 2017

Determine the y-position of the center of gravity for the given bodies, namely semicircle, half-disc, hemispherical shell and half-ball.

Bimetallic Strip

VE 0078

12 de outubro de 2017

A bimetallic strip is composed of the invar and copper. The left end of the bimetallic strip is fxed, and the right end is free, loaded by temperature diﬀerence. While neglecting self-weight, determine the deﬂection of the bimetallic strip (free end).

Torsional Vibrations

VE 0111

18 de julho de 2017

A double‑mass system consists of two shafts and two masses represented by the corresponding moments of inertia, concentrated in given distance as nodal masses. The left shaft is fixed, and the right mass is free. Neglecting the self‑weight of the shafts, determine the torsional natural frequencies of the system.

Bending Vibrations with Axial Force

VE 0115

18 de julho de 2017

A cantilever of rectangular cross‑section has a mass at its end. Furthermore, it is loaded by an axial force. Calculate the natural frequency of the structure. Neglect the self‑weight of the cantilever and consider the influence of axial force for the stiffness modification.

Gap-Filling Thermal Expansion

VE 0077

18 de julho de 2017

A steel rod between two rigid supports with a gap is loaded by a temperature difference. While neglecting self‑weight, determine the total deformation of the rod and its internal axial force.

VE 0076

18 de julho de 2017

A truss structure consists of three rods - one steel and two copper joined by a rigid member. The structure is loaded by a concentrated force and by a temperature difference. While neglecting self‑weight, determine the total deflection of the structure.

Impulse Applied to Simply Supported Beam

VE 0114

2 de maio de 2017

A concentrated force is applied for a short period of time at the mid‑span of a simply supported beam. Considering only small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.

Suddenly Applied Load to Simply Supported Beam

VE 0113

2 de maio de 2017

A concentrated force is suddenly applied at the mid‑span of a simply supported beam at given time. Considering only small deformation theory, determine the maximum deflection of the beam.

Natural Vibrations of Rectangular Plate

VE 0110

2 de maio de 2017

A rectangular steel plate of dimensions is simply supported at its edges. Determine the natural frequencies of the rectangular plate.

Natural Vibrations of Circular Plate

VE 0109

2 de maio de 2017

A circular steel plate is clamped around its circumference. Determine the natural frequencies of the circular plate.

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