Limit Analysis and Yield-Line Theory

1968 ◽  
Vol 35 (2) ◽  
pp. 357-362 ◽  
Author(s):  
Antoni Sawczuk ◽  
P. G. Hodge
Keyword(s):  
Limit Analysis ◽  
Single Point ◽  
Point Load ◽  
Simply Supported ◽  
Yield Line ◽  
Yield Line Theory ◽  
Line Theory ◽  
The Relationship ◽  
Line Analysis ◽  
General Method

The relationship between limit analysis and yield-line analysis is investigated. Attention is restricted to simply supported, isotropic slabs subjected to single-point loadings. It is found that conventional yield-line analyses quite often give substantial overestimates of the carrying capacity. A general method is formulated for finding the yield-point load, and various examples are considered.

scholarly journals Flexural Behavior of Posttensioned Flat Plates Depending on Tendon Layout

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Min Sook Kim ◽  
Young Hak Lee
Keyword(s):  
Maximum Load ◽  
Flexural Behavior ◽  
Test Results ◽  
Flat Plates ◽  
Yield Line ◽  
Yield Line Theory ◽  
Posttensioned Concrete ◽  
Line Theory ◽  
Line Analysis ◽  
Good Agreement

This paper discusses the experimental results on the flexural behavior and deflections of posttensioned concrete flat plates depending on tendon layout. One reinforced concrete flat plate and two posttensioned concrete flat plates were manufactured and tested. One-way posttensioning layout and two-way posttensioning layout were considered in this paper. The load-deflection behavior and modes of crack are presented from the test results. Posttension systems effectively controlled crack and deflection. One-way and two-way posttensioning layouts both showed similar maximum load. However, serviceability improved with two-way posttensioning layout compared to one-way posttensioning layout. Also, the yield-line theory was applied to predict the ultimate load for the posttensioned flat plates. The comparison between the test results and estimation by yield-line analysis generally showed good agreement.

Computer-Aided Plastic Limit Analysis of Plates

2016 ◽  
Vol 821 ◽  
pp. 547-554
Author(s):  
Vladimír Vančík ◽  
Milan Jirásek
Keyword(s):  
Degrees Of Freedom ◽  
Optimized Design ◽  
Plastic Limit ◽  
Multiple Degrees Of Freedom ◽  
Yield Line ◽  
Yield Line Theory ◽  
Plastic Limit Analysis ◽  
Line Theory ◽  
Primary Focus ◽  
Line Analysis

This article reports on a new tool for optimized design of reinforced concrete plates based on the yield-line theory. The primary focus is on the development of a computer program which can analyze arbitrary yield-line systems with one degree of freedom. The program includes a GUI for quick and intuitive input, and automatically performs analysis of yield-line systems regardless of the complexity of their analytical solution. Furthermore, optimization of orthotropic reinforcement is implemented. The possibility of yield-line analysis of systems with multiple degrees of freedom by linear programming is examined.

Limit analysis for plates: a simple loading problem involving a complex exact solution

1972 ◽  
Vol 272 (1228) ◽  
pp. 463-492 ◽  
Keyword(s):  
Exact Solutions ◽  
Limit Analysis ◽  
Yield Criterion ◽  
Point Load ◽  
Yield Line Theory ◽  
Perfectly Plastic ◽  
Aspect Ratios ◽  
Edge Conditions ◽  
Practical Standpoint ◽  
Line Theory

Known exact solutions in limit analysis for rigid perfectly plastic plates are relatively scarce and this has led Wood (1965) to question the soundness of the theory by suggesting that exact solutions may not exist even for apparently simple cases of loading, shape of plate and edge conditions. The alternative explanation for the scarcity is that simple problems may require rather complex exact solutions: this is exemplified in the solution now obtained for a central point load acting on a simply supported rectangular plate, with yielding governed by the square yield criterion. When the aspect ratio (length/breadth) of the rectangle lies in the range 1 to 2.25 approximately, the exact mechanism is relatively complex, involving regions of anticlastic curvature at the corners. From the practical standpoint, the known simple upper bounds of yield-line theory for this problem give the collapse load exactly for aspect ratios greater than about 2.25 and are in error by less than 4 % for smaller aspect ratios.

Yield-line theory and plasticity

1972 ◽  
Vol 24 (78) ◽  
pp. 37-42
Author(s):  
D. H. Clyde
Keyword(s):  
Yield Line ◽  
Yield Line Theory ◽  
Line Theory
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