Problem 1-2|Stress | Mechanics of Materials| Ninth Edition| R.C. Hibbeler|

Determine the resultant internal normal and shear force in the member at (a) section a–a and (b) section b–b, each of which passes through point A. The 500-lb load is applied along the centroidal axis of the member.

Problem 1-2

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Important Concepts in Statics of Rigid Bodies

These points are taken from the book of Russel Hibbeler:

  • Statics is the study of bodies that are at rest or move with constant velocity.
  • A particle has a mass but a size that can be neglected, and a rigid body does not deform under load.
  • A force is considered as a “push” or “pull” of one body on another.
  • Concentrated forces are assumed to act at a point on a body.
  • Newton’s three laws of motion should be memorized.
  • Mass is a measure of a quantity of matter that does not change from one location to another. Weight refers to the gravitational attraction of the earth on a body or quantity of mass. Its magnitude depends on the elevation at which the mass is located.
  • In the SI system the unit of force, the newton, is a derived unit. The meter, second, and kilogram are base units.
  • Prefixes G, M, k, m, mu and n are used to represent large and small numerical  quantities. Their exponential size should be known, along with the rules for using the SI units.
  • Perform numerical calculations with several significant figures, and then report the final answer to three significant figures.
  • Algebraic manipulations of an equation can be checked in part by verifying that the equation remains dimensionally homogeneous.
  • Know the rules for rounding off numbers.