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Related Concept Videos

Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

193
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
193
Deformation of a Beam under Transverse Loading01:15

Deformation of a Beam under Transverse Loading

450
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...
450
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

262
The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
262
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

422
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
422
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

336
A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by...
336
Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

261
In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these...
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Nonlinear ABAQUS Simulations for Notched Concrete Beams.

Ahmed Bahgat Tawfik1, Sameh Youssef Mahfouz1, Salah El-Din Fahmy Taher2

  • 1Construction and Building Engineering Department, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport (AASTMT), B 2401 Smart Village, Giza 12577, Egypt.

Materials (Basel, Switzerland)
|December 10, 2021
PubMed
Summary

Numerical simulations of concrete beams reveal that extended finite element method (XFEM) and virtual crack closure technique (VCCT) accurately model fracture. XFEM offers superior flexural simulation, while contour integral technique (CIT) is less effective for plain concrete.

Keywords:
ABAQUSconcrete damage plasticity (CDP)extended finite element method (XFEM)external post-tensioning (EPT)finite element analysis (FEA)

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Area of Science:

  • Civil Engineering
  • Computational Mechanics
  • Materials Science

Background:

  • Concrete fracture simulation is challenging due to its complex material behavior.
  • Accurate numerical modeling is crucial for predicting structural performance.

Purpose of the Study:

  • To numerically investigate the flexural response of notched plain and reinforced concrete beams.
  • To compare the effectiveness of different crack simulation techniques.

Main Methods:

  • Utilized ABAQUS software for numerical simulations.
  • Employed contour integral technique (CIT), extended finite element method (XFEM), and virtual crack closure technique (VCCT).
  • Conducted a parametric study on notch-to-depth ratio, shear span-to-depth ratio, and external post-tensioning.

Main Results:

  • XFEM and VCCT provided superior simulation results compared to CIT.
  • XFEM demonstrated enhanced flexural simulation capabilities.
  • Reduced notch-to-depth and shear span-to-depth ratios increased flexural capacity.
  • External post-tensioning and reinforcement significantly enhanced flexural capacity and ductility.

Conclusions:

  • XFEM is highly effective for simulating concrete fracture and flexural behavior.
  • CIT models struggled with softening behavior and crack path prediction in plain concrete.
  • Reinforcement and external post-tensioning improve ductility and load-bearing capacity.