Moving-load impact of classic hinged-hinged slab beam and demarcation to gravity stretching retention effect

Abstract

This paper investigates the displacement and bending moment impact amplification of the classic hinged-hinged beam to moving load and demarcates their applicable range to dead load gravity stretching retention effect. A modified Euler–Bernoulli beam model with an extension to consider stretching retention effect due to beam flexure is developed. A multi-harmonic frequency-multiplication modal forced oscillation theory is adopted to analyze the impact spectrum of the classic beam under single moving force. The applicable range of the computed impact spectrum is demarcated based on the evaluation of the additional response and stretching force increment. This study proposes to compute the peak response occurrence spatial positions besides the impact factors for safety and fatigue evaluation. The results for the computed bending moment response in the low moving speed region tell, the normalized peak response occurrence spatial position curves are of the similar shape and magnitude as the corresponding normalized peak response occurrence instant curves for the classic beam. A case study on the related demarcation analysis present one design of a slender steel beam that the classic Euler beam model is applicable to the moving load impact analysis for the scenarios of low moving speed around its self-weight equilibrium state.

Graphical abstract

Keywords

impact spectrum / Euler–Bernoulli beam / flexure stretching / moving load / harmonic analysis

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