Abstract
Aiming at the limitation of the calculated length coefficient of the gable portal rigid frame columns in the standards and regulations, which ignores the influence of the arch effect caused by the axial force of the inclined beams lope, this paper uses the elastic buckling equation of the solid-webbed articulated pitched-roof frame, considered 𝑃−𝛥 second-order effect and the arch effect of the inclined beam under uniform load together. And the length coefficient calculated is analyzed. It is concluded that the larger the slope of the inclined beam and the ratio of the rigid frame span are, the more obvious the arching effect is, and the larger the calculated length coefficient of the rigid frame column is.
Highlights
For the gable portal light rigid frame, reasonable support and tie bars can ensure the stability of the rigid frame outside-plane
Under the transverse uniform load, there is an axial force caused by the slope at the joint between the inclined beam and the vertical beam
From the above process of calculating the elastic buckling equation, it can be seen that the effect of the PP − ΔΔ effect and arch effect on the gable portal frame is obvious
Summary
For the gable portal light rigid frame, reasonable support and tie bars can ensure the stability of the rigid frame outside-plane. The overall stability of the rigid frame is determined by the inside-plane stability. Relevant codes and regulations calculate the stability of the rigid frame through calculating the length coefficient. At present, considering the stability of the gable portal frame, the related codes and regulations are to simplify the inclined beam as a horizontal beam. Such simplification fails to consider the influence of arch effect on the overall stability of the rigid frame. This paper will comprehensively consider PP − ΔΔ second-order effect and the arch effect of the inclined beam under the uniform load, and analyze the relationship between the calculated length coefficient and the arch effect
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