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Related Concept Videos

Method of Joints01:30

Method of Joints

875
The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which assumes that the truss members are connected by frictionless pins. The forces at each joint can be determined by considering the equilibrium of the forces acting on that joint.
Since plane truss members are in the same plane, each joint is subjected to a coplanar and concurrent force system. To apply the method of joints, the first step is to...
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Method of Joints: Problem Solving I01:30

Method of Joints: Problem Solving I

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The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which assumes that the truss members are connected by frictionless pins. The forces at each joint can be determined by considering the equilibrium of the forces acting on that joint. Consider a truss structure with two forces of 20 N and 10 N acting at joints C and D, respectively. The method of joints can be used to determine the forces FCB, FDC,...
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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...
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Method of Joints: Problem Solving II01:30

Method of Joints: Problem Solving II

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Consider a truss structure with frictionless joints fixed to a wall and roller support. If a force of 150 N is applied to joint A, the forces in each member of the truss can be determined using the method of joints.
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Frames: Problem Solving I01:24

Frames: Problem Solving I

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Consider a jib crane with an external load suspended from the pulley. The dimensions of the crane members are shown in the figure. A systematic analysis of the frame structure is required to determine the reaction forces at the pin joints, assuming that the pulleys are frictionless.
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Internal Loadings in Structural Members: Problem Solving01:28

Internal Loadings in Structural Members: Problem Solving

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When designing or analyzing a structural member, it is important to consider the internal loadings developed within the member. These internal loadings include normal force, shear force, and bending moment. Engineers can ensure that the structural member can support the applied external forces by calculating these internal loadings.
To illustrate this, let's consider a beam OC of 5 kN, inclined at an angle of 53.13° with the horizontal and supported at both ends. Determine the internal...
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Related Experiment Video

Updated: Aug 8, 2025

Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays
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PMUTs Arrays for Structural Health Monitoring of Bolted-Joints.

Omer M O Abdalla1, Gianluca Massimino1, Fabio Quaglia2

  • 1Department of Civil and Environmental Engineering, Politecnico di Milano, 20133 Milano, Italy.

Micromachines
|February 25, 2023
PubMed
Summary

This study uses Piezoelectric Micromachined Ultrasonic Transducers (PMUTs) for structural health monitoring. The change in acoustic wave time of flight detected by PMUTs directly correlates with bolted joint pre-tensioning levels.

Keywords:
SHM applicationsacoustoelastic effectmultiphysics modellingpiezoelectric micromachined ultrasonic transducersultrasound

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Area of Science:

  • Engineering
  • Materials Science
  • Physics

Background:

  • Micro-electro-mechanical systems (MEMS) offer miniaturized sensor solutions for structural health monitoring (SHM).
  • Bolted joints are critical structural components requiring precise pre-tensioning for optimal performance.

Purpose of the Study:

  • To evaluate and monitor the pre-tensioning of bolted joints using MEMS-based sensors.
  • To investigate the relationship between acoustic wave propagation and bolt pre-tension.

Main Methods:

  • Utilized an array of Piezoelectric Micromachined Ultrasonic Transducers (PMUTs) in a pitch-catch Ultrasonic Testing (UT) configuration.
  • Developed numerical models to simulate acoustic wave transmission through bolted joints.
  • Measured the Change in Time of Flight (CTOF) of acoustic waves along the bolt axis.

Main Results:

  • A linear relationship was established between the CTOF and the pre-tensioning level of the bolted joint.
  • The developed numerical models accurately predicted the CTOF based on pre-tensioning.

Conclusions:

  • PMUTs are effective for monitoring bolted joint pre-tensioning in SHM applications.
  • The CTOF serves as a reliable indicator of pre-tensioning status, validated by numerical and experimental results.