doi: 10.5862/MCE.61.3

The optimum geometry of the flat diagonal truss taking into account the linear creep

D.V. Tinkov, "Raduga" State Engineering Design Bureau JSC named after A.Y. Bereznyak, Dubna, Russia

We have found the exact analytical expressions for the optimal geometry and minimum mass of a diagonal truss beam made of a material with properties of linear creep. We have derived simple analytical expressions for the deflection of the optimal weight of the truss. The deflection of the truss was calculated by the Maxwell - Mohr formula. We found solution generalizations for any number of panels by induction. The research was carried out with the support of the Maple computer mathematics system in symbolic form. The multifunctional Lira software package intended for the design and numerical calculation of buildings and engineering structures was used for comparing and testing the solutions.

Key words:

diagonal truss; weight; deflection; analytical solution; induction; linear creep

Read the whole article (rus) in pdf

(Tinkov D.V. Optimal'naya geometriya ploskoy balochnoy raskosnoy fermy s uchetom lineynoy polzuchesti materiala [The optimum geometry of the flat diagonal truss taking into account the linear creep]. Magazine of Civil Engineering. 2016. No. 1. Pp. 25–32).

References:

1. Tinkov D.V. Sravnitel'nyy analiz analiticheskikh resheniy zadachi o progibe fermennykh konstruktsiy [Comparative analysis of analytical solutions to the problem of truss structure deflection]. Magazine of Civil Engineering. 2015. No.5(57). Pp. 66–73. (rus)

2. Kirsanov M.N. Matematicheskaya model balochnoy fermy s elementami uprochneniya [Mathematical model of the truss with hardening elements]. Magazine of Civil Engineering. 2015. No.  4. Pp. 38–44. (rus)

3. Kirsanov M.N. Analiz progiba fermy pryamougolnogo prostranstvennogo pokrytiya [Deflection analysis of rectangular spatial coverage truss]. Magazine of Civil Engineering. 2015. No. 1. Pp. 32–38. (rus)

4. Alekseytsev A.V. Evolyutsionnaya optimizatsiya stalnykh ferm s uchetom uzlovykh soyedineniy sterzhney [Evolutionary optimization of steel trusses with the nodal joints of rods]. Magazine of Civil Engineering. 2013. No. 5. Pp. 28–37. (rus)

5. Kirsanov M.N. Induktivnyy analiz vliyaniya pogreshnosti montazha na zhestkost' i prochnost' ploskoy fermy [Inductive analysis of the effect of error mounting on the stiffness and strength of a plane truss]. Magazine of Civil Engineering. 2012. No. 5. Pp. 38-42. (rus)

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