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FORMULAS FOR CALCULATING OF DEFLECTION AND STRESSES IN THE BARS OF SYMMETRICAL TRUSS

Abstract

The analytic dependence of deflection of statically determinate trusses with parallel belts and console sections, depending on its size and number of panels is obtained. Analyzes of asymptotic properties of the solutions taking in to account different stiffness rods of the belts, and lattice. The forces in the rods are determined by cutting out the nodes by the author's program written for the computer algebra system Maple. Generalization of the solutions obtained for trusses with different number of panels produced by the method of induction. The similarity of the formulas for deflection allows to write the sequence of coefficients of the respective parameters of the truss. Using a system Maple displays the recurrence equation which satisfy the members of the sequence and its solution. The solution also allows to optimize the farm due to the choice of the most rational distribution of element cross-sections.

About the Author

M. .. Kirsanov
National Research University "MPEI"
Russian Federation


References

1. Кирсанов, М. Н. Maple и Maplet. Решение задач механики/ М.Н. Кирсанов. - СПб.: Изд-во Лань, 2012. - 512 с.

2. Кийко, Л. К. Аналитическая оценка прогиба арочной фермы под действием ветровой нагрузки / Л.К. Кийко // Научный вестник. - 2016. - № 1 (7). - С. 247-254.

3. Тиньков, Д. В. Сравнительный анализ аналитических решений задачи о прогибе ферменных конструкций/ Д. В. Тиньков // Инженерно-строительный журнал. - 2015. - №5(57). - С. 66-73.

4. Тиньков, Д. В. Анализ точных решений прогиба регулярных шарнирно-стержневых конструкций/ Д. В. Тиньков // Строительная механика инженерных конструкций и сооружений. -- 2015.-- №6. - С. 21-28.

5. Al-Shahrabi, A. M. Line of influence of the deflection for cantilever truss / A. M. Al-Shahrabi, M.N. Kirsanov // Вестник научных конференций. - 2016. № 2-1(6). - С. 6-7.

6. Dong, X. The dependence of the deflection of the truss from the position of the load for an arbitrary number of panels/ X. Dong, M.N. Kirsanov //Вестник научных конференций.- 2016. -№ 1-4 (5). - С. 6-7.

7. Jiang, H. An analytical expression for the influence line of the truss/ H. Jiang, M.N. Kirsanov // Вестник научных конференций. - 2016. - № 1-5(5). - С.10-11.

8. Ponamareva, M.A. The displacement of the support trusses with parallel belts under uniform load/ M.A. Ponamareva//Научный альманах. -2016. - № 4-3(18). - С.257-259.


Review

For citations:


Kirsanov M... FORMULAS FOR CALCULATING OF DEFLECTION AND STRESSES IN THE BARS OF SYMMETRICAL TRUSS. Building and Reconstruction. 2017;(1):19-23. (In Russ.)

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ISSN 2073-7416 (Print)