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6161103 5.8 chapter summary and review


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6161103 5.8 chapter summary and review

  1. 1. Chapter SummaryFree-Body Diagram Draw a FBD, an outline of the body which shows all the forces and couple moments that act on the body A support will exert a force on the body in a particular direction if it prevents translation of the body in that direction A support will exert a couple moment on a body is it prevents rotation
  2. 2. Chapter SummaryFree-Body Diagram Angles are used to resolved forces and dimensions used to take moments of the forces Both must be shown on the FBD
  3. 3. Chapter SummaryTwo Dimensions ∑Fx = 0; ∑Fy = 0; ∑MO = 0 can be applied when solving 2D problems For most direct solution, try summing the forces along an axis that will eliminate as many unknown forces as possible
  4. 4. Chapter SummaryThree Dimensions Use Cartesian vector analysis when applying equations of equilibrium Express each known and unknown force and couple moment shown on the FBD as a Cartesian vector Set the force summation equal to zero Take moments about point O that lies on the line of action of as many unknown components as possible
  5. 5. Chapter SummaryThree Dimensions From point O, direct position vectors to each force, then use the cross product to determine the moment of each force The six scalar equations of equilibrium are established by setting i, j and k components of these force and moment sums equal to zero
  6. 6. Chapter Review
  7. 7. Chapter Review
  8. 8. Chapter Review