Open AccessFeatures of the design of statically indeterminate frames by the mixed method with rods of a given stiffness
Author(s) -
Светлана Сазонова,
A. V. Zvyagintseva,
S. Nikolenko,
Eduard Chernikov,
Svetlana Sumera
Publication year - 2021
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/848/1/012168
Subject(s) - statically indeterminate , diagram , shear force , stiffness , mathematics , frame (networking) , indeterminate , bending moment , structural engineering , mathematical analysis , computer science , engineering , pure mathematics , telecommunications , statistics
The features of using the mixed method for calculating internal forces in statically indeterminate frames with rods of a given stiffness are considered. The substantiation of the choice for the calculation of frames of the mixed method, methods of forces or displacements is given. The condition of equivalence of the main and the given systems is provided. The calculations took into account the mechanical meaning of the canonical equations and individual terms of the canonical equations of the mixed method. The corresponding reactions and displacements are determined. It is substantiated which part of the frame when calculating by the mixed method is more rational to calculate by the method of displacement, and which part by the method of forces. Used "tabular" data in the process of calculating the frame by the mixed method. If necessary, frame parts are designed to be statically determinate. The features of constructing and controlling the diagram of moments after determining the unknowns, constructing the final diagram of shear forces using the already constructed diagram of bending moments, constructing the final diagram of longitudinal forces using the already constructed diagram of shear forces.