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Related Concept Videos

Method of Joints01:30

Method of Joints

1.3K
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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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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Virtual Work01:20

Virtual Work

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The principle of virtual work states that if a body is in static and dynamic equilibrium, then the sum of all the virtual work done by all external forces and couple moments for any given virtual displacement must be zero.
In static equilibrium, a body can experience an imaginary or virtual movement, such as displacement or rotation. The virtual work done by a force is equal to the dot product of force and virtual displacement in the direction of the force. When it comes to virtually rotating a...
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Structural Joints: Synovial Joints01:16

Structural Joints: Synovial Joints

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Synovial joints are the most common type of joint in the body. A key structural characteristic for a synovial joint is the presence of a joint cavity. This fluid-filled space is where the articulating surfaces of the bones contact each other. Also, unlike fibrous or cartilaginous joints, the articulating bone surfaces at a synovial joint are not directly connected to each other with fibrous connective tissue or cartilage. This gives the bones of a synovial joint the ability to move smoothly...
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Structural Joints: Fibrous Joints01:03

Structural Joints: Fibrous Joints

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Fibrous joints are a type of joint where the bones are connected by fibrous connective tissue. These joints provide stability and minimal to no movement between the articulating bones. There are three types of fibrous joints.
Suture
All the bones of the skull, except for the mandible, are joined to each other by a fibrous joint called a suture. The fibrous connective tissue found at a suture strongly unites the adjacent skull bones and thus helps to protect the brain and form the face. In...
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Related Experiment Video

Updated: Feb 9, 2026

Generating Lap Joints Via Friction Stir Spot Welding on DP780 Steel
07:18

Generating Lap Joints Via Friction Stir Spot Welding on DP780 Steel

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Preload Monitoring of Bolted L-Shaped Lap Joints Using Virtual Time Reversal Method.

Fei Du1, Chao Xu2, Guannan Wu3,4

  • 1School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China. dufei@nwpu.edu.cn.

Sensors (Basel, Switzerland)
|June 15, 2018
PubMed
Summary
This summary is machine-generated.

A new virtual time reversal guided wave method accurately monitors bolt preload in L-shaped lap joints. This technique enhances safety by detecting early-stage bolt loosening, outperforming traditional methods.

Keywords:
bolt jointsbolt preload monitoringguided wavestructural health monitoringtime reversal

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Ultrasonic Welding of Thermoplastic Composite Coupons for Mechanical Characterization of Welded Joints through Single Lap Shear Testing
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Ultrasonic Welding of Thermoplastic Composite Coupons for Mechanical Characterization of Welded Joints through Single Lap Shear Testing
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Area of Science:

  • Structural Health Monitoring
  • Non-Destructive Testing
  • Mechanical Engineering

Background:

  • L-shaped bolt lap joints are critical in aerospace and civil engineering.
  • Bolt loosening significantly compromises structural safety and reliability.
  • Early-stage preload monitoring is essential for preventing catastrophic failures.

Purpose of the Study:

  • To present a novel virtual time reversal guided wave method for accurate and simple bolt preload monitoring.
  • To validate the method experimentally on L-shaped bolted lap joints.
  • To investigate the influence of guided wave frequency and tightness index selection.

Main Methods:

  • Extraction of a referenced reemitting signal (RRS) from a fully tightened joint.
  • Utilizing the RRS as an excitation signal for loosening states.
  • Employing the normalized peak amplitude of the refocused wave packet as the tightness index (TIA).

Main Results:

  • The virtual time reversal method demonstrates a linear relationship between TIA and bolt preload.
  • Significantly improved detection sensitivity for early-stage bolt loosening compared to the standard time reversal (TR) method.
  • The TR method effectively detects the number of loosening bolts.

Conclusions:

  • The proposed virtual time reversal guided wave method offers a sensitive and accurate approach for monitoring bolt preload in L-shaped lap joints.
  • This method is particularly effective for detecting the incipient stages of bolt loosening.
  • The study validates the practical applicability and enhanced performance of the virtual time reversal technique.