Open AccessONE FEATURE OF THE CONSTRUCTIVE SOLUTIONS OF THE LATTICE GIRDER
Author(s) -
Михаил Кирсанов
Publication year - 2018
Publication title -
international journal for computational civil and structural engineering
Language(s) - English
Resource type - Journals
eISSN - 2588-0195
pISSN - 2587-9618
DOI - 10.22337/2587-9618-2018-14-4-90-97
Subject(s) - truss , kinematics , statically indeterminate , mathematics , deflection (physics) , planar , rod , chord (peer to peer) , structural engineering , geometry , mathematical analysis , physics , classical mechanics , computer science , engineering , medicine , distributed computing , computer graphics (images) , alternative medicine , pathology
The problem of the deflection of a planar symmetric statically determinable truss with a double lattice depending on the number of panels was solved in an analytical form. The angle of inclination of the ascending and descending rods of the truss is different. A load is applied to the truss, evenly distributed over the nodes of the lower chord. Special operators of the Maple computer math system and the induction method were used to generalize individual particular solutions to an arbitrary case. Formulas are obtained for the forces the most compressed and stretched truss rods. Cases of kinematic variability of the structure are revealed. A picture of the possible speeds of truss nodes in these cases is constructed. The asymptotic behavior of the deflection is found with a large number of panels and a fixed span length. The deflection was determined by the formula of Maxwell – Mohr.