Influence Lines for Statically Indeterminate Structures

2021 ◽  
pp. 285-304
Author(s):  
Debabrata Podder ◽  
Santanu Chatterjee
Keyword(s):  
Indeterminate Structures

Introduction to the analysis of statically indeterminate structures

2017 ◽  
pp. 80-98
Author(s):  
A. Ghali ◽  
A. M. Neville ◽  
T. G. Brown
Keyword(s):  
Indeterminate Structures

Shaping Indeterminate Frames

2021 ◽  
Vol 62 (3) ◽  
pp. 172-184
Author(s):  
Paul Mayencourt ◽  
John Ochsendorf ◽  
Caitlin Mueller
Keyword(s):  
Case Studies ◽  
Building Materials ◽  
Design Space ◽  
Frame Structures ◽  
Building Structures ◽  
Or Efficiency ◽  
Intergovernmental Panel ◽  
Indeterminate Structures ◽  
Design Options ◽  
The Impact

The large impact of building structures on the environment must be reduced to meet the global targets fixed by the Intergovernmental Panel on Climate Change. Standard building structures with constant prismatic cross-section have material inefficiencies of around 66% (and up to 75% in some cases) that need to be addressed. Structural shaping, a subfield of shape optimization, offers a pathway to reduce the impact of building materials on the environment. Shaping statically determinate structures such as simply supported beams is relatively straightforward, but offers few design options compared to statically indeterminate structures. However, no methods provide an efficient way for designers to shape these systems according to their design intent or efficiency goals. Based on plasticity theory, this paper presents a shaping methodology to explore the design space of shaped indeterminate frame structures. The methodology is implemented in three case studies.<br/> In all the case studies, the methodology allows for the exploration of material-efficient yet diverse designs of shaped indeterminate frame structures. The implementation of this methodology can promote the use of structural shaping by offering more agency to structural designers to create diverse and efficient structural systems.

scholarly journals The problem of mechanical compatibility of natural building stones in the restoration of monuments. Part II: Specimens with modified boundaries

2011 ◽  
Vol 20 (1-3) ◽  
pp. 55-65
Author(s):  
Nikolaos L. Ninis ◽  
Stavros K. Kourkoulis
Keyword(s):  
Peak Stress ◽  
Building Stone ◽  
Building Stones ◽  
Deformation Control ◽  
Numerical Studies ◽  
Natural Building Stones ◽  
Natural Building ◽  
Indeterminate Structures ◽  
Ancient Monuments

AbstractIt was pointed out in Part I of this short two-paper series, that the mechanical incompatibility between the authentic building stone of ancient monuments and the stones used as substitute ones during restoration projects, may be the reason of violation of basic restoration principles concerning the protection of the ancient material. In this context certain geometrical configurations of the boundaries of the specimens are examined in this Part II as a possible means of modifying the mechanical behaviour of the substitute stones, in order to make them as compatible as possible with the authentic material. Modifications of both the contact surfaces (in order to change the friction conditions) of the specimens as well as of the free ones (in order to quantify the influence of transforming the smooth cylindrical surface to a fluted one) are examined experimentally. This approach is based on existing observations and numerical studies indicating that the behaviour of a stone specimen in the post-peak region is affected by the geometrical configuration of its boundaries. Taking advantage of the experimental results an alternative compatibility criterion is introduced for situations where the “required” quality of the building stone is its ability to withstand deformation without failing structurally, a characteristic pertinent to statically indeterminate structures, whose design is based on deformation control. This criterion combines both peak stress and maximum failure strain providing a better insight into the problem of mechanical incompatibility of natural building stones.

scholarly journals On the duality of space trusses and plate structures of rigid plates and elastic edges

2020 ◽  
Vol 35 (4) ◽  
pp. 135-146
Author(s):  
Tamás Baranyai
Keyword(s):  
Plate Structures ◽  
Plate Structure ◽  
Indeterminate Structures ◽  
Space Trusses

Dualities have been known to map space trusses and plate structures to each other since the 1980s. Yet the computational similarity of the two has not been used to solve the unfamiliar plate structure with the methods of the well-known truss. This article gives a method to find the forces and displacements of a plate structure with rigid plates and elastic edges, using a dual truss. The plates are assumed to be rigid in their respective planes only and deformable otherwise. The method provided is applicable for both statically determinate and indeterminate structures, subjected to both statical and kinematical loads.

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