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Related Concept Videos

Stress: General Loading Conditions01:15

Stress: General Loading Conditions

442
To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
442
Components of Stress01:23

Components of Stress

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Stress analysis under multiple loading conditions is intricate, necessitating a comprehensive grasp of normal and shearing stresses. Consider a small cube at point O, subjected to stress on all six faces, visible or not. Normal stress components σx, σy, σz act perpendicularly to the x, y, and z axes. Shearing stress components τxy and τxz are exerted on faces perpendicular to these axes.
Interestingly, the hidden cube faces also experience these stresses, equal and...
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Applications of Stress01:04

Applications of Stress

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Consider a structure made of a boom and a rod designed to support a load. These two components are connected by a pin and stabilized by brackets and pins. The boom and the rod are detached from their supports to assess the different stresses imposed on this structure, and a free-body diagram is drawn. Then, all the forces applied, including the load acting on the structure, are identified. The reaction forces exerted on both the boom and the rod are computed using the equilibrium equations.
The...
492
Stress Concentrations01:24

Stress Concentrations

492
Stress concentration is when stress intensifies near discontinuities such as holes or abrupt cross-sectional changes in a structural member. This localized stress can often surpass the average stress within the member. The stress distribution in flat bars, either with a circular hole or varying widths connected by fillets, can be determined experimentally using a photoelastic method. The results are based on ratios of geometric parameters like the ratio of the hole's radius to the smaller...
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Stress Concentrations01:13

Stress Concentrations

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The concept of stress concentration is crucial for understanding how materials respond under bending stresses, particularly when there are irregularities or discontinuities in the material's geometry. Normally, stress in a symmetric member subjected to pure bending is assumed to be uniformly distributed across the entire cross-section. However, this assumption does not hold when there are variations in the cross-sectional geometry or the presence of notches and holes.
The stress...
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General State of Stress01:21

General State of Stress

449
The general state of stress within a material can be accurately depicted using a stress tensor. This tensor encapsulates the internal forces distributed within a material subjected to external forces or deformations.
Specifically, consider a tetrahedral element where one face, labeled XYZ, is perpendicular to the line OA, and the remaining faces align with the coordinate axes with point O as the origin. At any point, such as point O, the stress tensor can be used to determine the stress...
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Systemic stress test model for shared portfolio networks.

Irena Vodenska1,2, Nima Dehmamy3, Alexander P Becker4,5

  • 1Department of Administrative Sciences, Metropolitan College, Boston University, 1010 Commonwealth Avenue, Boston, MA, 02215, USA. vodenska@bu.edu.

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Summary
This summary is machine-generated.

We developed a dynamic network model to assess financial system stability. Our model accurately predicted risks during the European sovereign debt crisis and introduced a new bank ranking system for systemic importance.

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Area of Science:

  • Financial economics
  • Network science
  • Quantitative finance

Background:

  • Systemic risk in financial networks is complex and dynamic.
  • Existing models often lack time-dependent analysis of bank and asset interconnections.
  • Understanding interbank dependencies is crucial for financial stability.

Purpose of the Study:

  • To propose a dynamic network model for assessing systemic risk.
  • To introduce a time-varying bipartite network of banks and assets.
  • To develop a systemic importance ranking for financial institutions (BankRank).

Main Methods:

  • Constructed a dynamic bipartite network model incorporating time-varying link weights and node attributes.
  • Utilized market data and bank asset holdings for model parameter estimation.
  • Applied the model to the European sovereign debt crisis for validation.

Main Results:

  • A single parameter effectively indicates financial system stability.
  • Model results closely mirrored real-world events during the European sovereign debt crisis.
  • Identified high risk for Greek sovereign bonds and distress in Greek banks.

Conclusions:

  • The dynamic network model offers a complementary approach to traditional stress tests.
  • The model captures the contribution of bank interconnectivity to time-dependent systemic risk.
  • BankRank provides a novel metric for assessing individual bank contributions to systemic risk.