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Related Concept Videos

Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

136
The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
The important part of bending analysis for such a member...
136
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

264
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
264
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

147
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
147
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

163
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
163
Transformation of Plane Strain01:12

Transformation of Plane Strain

161
When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
161
Deformation of a Beam under Transverse Loading01:15

Deformation of a Beam under Transverse Loading

285
Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
The insights from the bending moment diagram extend to...
285

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Improved Finite Element Model Updating of a Highway Viaduct Using Acceleration and Strain Data.

Doron Hekič1,2, Diogo Ribeiro3, Andrej Anžlin2

  • 1Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova cesta 2, 1000 Ljubljana, Slovenia.

Sensors (Basel, Switzerland)
|May 11, 2024
PubMed
Summary

This study enhances bridge finite element model updating (FEMU) by integrating strain and acceleration data. The error-domain model falsification (EDMF) method proved more effective than residual minimization for accurate structural analysis.

Keywords:
calibrationconcrete highway viaducterror-domain model falsification (EDMF)finite element model updating (FEMU)monitoringoptimisationstructural health monitoring (SHM)

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Area of Science:

  • Structural Engineering
  • Computational Mechanics
  • Bridge Engineering

Background:

  • Finite Element Model Updating (FEMU) for bridges often relies on acceleration data due to cost and convenience.
  • Strain and displacement-based FEMU are less common, leading to a gap in comprehensive studies incorporating strain measurements.

Purpose of the Study:

  • To perform and compare strain- and acceleration-based FEMU on a multi-span concrete highway viaduct.
  • To evaluate the effectiveness of residual minimization versus the error-domain model falsification (EDMF) methodology in FEMU.

Main Methods:

  • Strain-based FEMU utilized mid-span strains under heavy vehicles.
  • Acceleration-based FEMU used frequencies and mode shapes.
  • Analyses adjusted Young's modulus factors for structural elements using residual minimization and EDMF.

Main Results:

  • Strain- and frequency-based FEMU indicated a ~20% increase in superstructure design stiffness.
  • EDMF provided more sensible updated variables by incorporating strain data alongside acceleration data.
  • EDMF resulted in an overestimated design stiffness of 25-50% for internal main girders.

Conclusions:

  • The error-domain model falsification (EDMF) methodology offers advantages over residual minimization for FEMU.
  • Integrating strain measurements alongside acceleration data improves the accuracy and sensibility of updated finite element models for bridges.
  • Further refinement of EDMF may be needed to avoid overestimation of stiffness in specific structural components.