Sentence examples for beam under the condition from inspiring English sources

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As the geometric equation and linear-elastic constitutive equation of beam under the condition of small deformation have been presented based on the basic principle of elasticity mechanics, the analysis model is built and the governing differential equations about normal and tangential deflections of beam are deduced.

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In brief, the intensity of the transmitted beam under the conditions identical to those used for the SHG measurements is given by the following expression.

For the special case of homogeneous beam resting on the surface of a water filled prismatic basin, the normal modes are determined considering surface waves in beam direction under the condition of compensating the volume of the enclosed fluid.

The effect of a support insert on the overall damping capacity of a cantilever beam is investigated under the condition of free vibrations.

The results show that the shear failure test results of glazed hollow bead insulation concrete beams are similar to those of ordinary concrete beams; the shear bearing capacity of vitrified microbeads thermal insulation concrete beams is ∼13% higher than that of ordinary concrete beams under the same conditions, and stiffness degradation is slow in the later stage.

The classic test problems indicate that for the pure bending beam under single loading condition, the maximum stress minimization problem and the compliance minimization problem have equal optimal results, and the maximum displacement minimization problem and the compliance minimization problem do not have equal optimal results.

This interaction takes place under the resonance (Cherenkov) condition, such that the longitudinal phase velocity of the wave equals to the beam velocity, i.e., under the condition ω = kV0b, which is necessary but not sufficient for wave excitation.

Explicit analytical expressions are derived for the vibrating mode shapes of a curved, bending-torsional-shearing coupled beam under clamped clamped boundary condition with the help of symbolic computing package Mathematica, and a process of searching is used to determine the natural frequencies.

This paper proposes a formula which can be used to predict the fire resistance time of steel beams under the standard fire condition.

There were few researches on concealed weaknesses of prestressed structures, especially for the hidden vulnerabilities of PC track beam under special conditions.

In contrast to the polystyrene-based particles, PMMA particles are not thermally stable against the heat of the electron beam under TEM measurement conditions.

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