Method of Joint Example 2 - Analysis of Truses - Engineering Mechanics | Summary and Q&A

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March 31, 2022
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Method of Joint Example 2 - Analysis of Truses - Engineering Mechanics

TL;DR

The video explains how to find the force acting on a truss using the method of joints, focusing on a special case where certain members have zero force.

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Key Insights

  • #️⃣ The stability of a truss can be determined by comparing the number of members, joints, and reactions.
  • 🥶 Special cases, such as collinear forces and free hanging ends, can simplify the analysis by identifying zero force members.
  • 🤩 Resolving external forces and applying Lami's theorem are key steps in finding unknown forces in a truss.
  • 😥 Support reactions can be calculated by resolving the external forces at the support points.
  • ❓ Method of joints is an effective technique for analyzing trusses and determining internal forces in each member.
  • 🔺 The dimensions of the truss and the angles of the forces are crucial in the analysis.
  • 🥶 Zero force members are important to consider in truss analysis and can be identified based on collinear forces or free hanging ends.

Transcript

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Questions & Answers

Q: How is the stability of the truss determined?

The stability of the truss is determined using the formula m = 2j - r, where m is the number of members, j is the number of joints, and r is the number of reactions. If the left-hand side of the equation equals the right-hand side, the truss is stable.

Q: Can you explain the special case of collinear forces at a joint?

When two forces at a joint are collinear and there is one member passing through that joint, the member with zero force is called a zero force member. This can be directly determined without further calculations.

Q: How are support reactions calculated?

The support reactions are calculated by resolving the external forces at the support points. The forces are resolved into horizontal and vertical components, and the equations of equilibrium are applied to find the reaction forces.

Q: What is the purpose of resolving the force AB?

Resolving the force AB allows us to determine the horizontal and vertical components of the force. This helps in applying the conditions of equilibrium and finding the magnitude of the force AB.

Summary & Key Takeaways

  • The video demonstrates how to find the force acting on a truss by resolving external forces and using Lami's theorem.

  • The stability of the truss is determined using the formula m = 2j - r, where m is the number of members, j is the number of joints, and r is the number of reactions.

  • The method of joints is used to solve for support reactions and forces in each member, with special cases identified and zero force members identified.

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