Force-Couple System: Find Resultant, Pitch & Point of Wrench

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SUMMARY

The discussion focuses on analyzing a force-couple system involving two bolts, A and B, subjected to specific forces and couples. Participants seek to replace the two wrenches with a single equivalent wrench, requiring the calculation of the resultant force, the pitch of the equivalent wrench, and the intersection point of the wrench's axis with the xz plane. Key calculations involve vector addition and torque analysis to derive the necessary parameters for the equivalent wrench.

PREREQUISITES
  • Understanding of force-couple systems
  • Knowledge of vector addition in mechanics
  • Familiarity with torque and its calculation
  • Basic principles of statics and equilibrium
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  • Study the principles of vector addition in mechanics
  • Learn about calculating torque in force-couple systems
  • Research methods for determining resultant forces in multi-force systems
  • Explore the concept of pitch in mechanical systems and its applications
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Mechanical engineers, physics students, and professionals involved in structural analysis or mechanical design will benefit from this discussion.

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Two bolts A and B are tightened by applying the forces and couple shown. replace the two wrenches with a single equivalent wrench and determine (a) the resultant, (b) the pitch of the single equivalent wrench (c), the point where the axis of the wrench intersects the xz plane.
 

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Does anyone know how to add two wrenches pictured above?
 

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