Internal stress without external motion – effect of applied equilibrating forces\nIf a given force (or system of forces) acting on a body ______ the position of the body, yet keeps it in overall equilibrium, its effect is to produce internal stress in the body.

Difficulty: Easy

Correct Answer: does not change

Explanation:


Introduction / Context:
Stress can exist in a body even when there is no external motion. Self-equilibrating or balanced external loads may leave the body at rest while inducing internal forces to maintain equilibrium.



Given Data / Assumptions:

  • External forces act but net force and net moment are zero (static equilibrium).
  • No change in the macroscopic position or orientation of the body.
  • Continuum mechanics assumptions apply (internal force transmission through sections).


Concept / Approach:
Equilibrium of the whole body does not imply zero internal forces. Internal stress arises to balance the applied loads over internal cross-sections so that every part is in equilibrium.



Step-by-Step Solution:

Consider a prismatic bar in axial tension with two equal and opposite end forces. The bar remains at rest (no change in position) but carries internal axial stress σ = P / A.Similarly, a beam under equal and opposite couples remains in equilibrium but develops internal bending stresses and shear.Hence, when external loads do not change the body’s overall position yet are present, they produce internal stress to satisfy local equilibrium.


Verification / Alternative check:
Cut-free-body approach: section the body and draw free-body diagrams of each part; internal forces and moments appear to balance external loads, proving the presence of stress fields.



Why Other Options Are Wrong:

  • ‘‘change’’ implies motion; the statement emphasizes stress without overall motion.
  • Options about rotation or acceleration contradict static equilibrium condition.


Common Pitfalls:
Assuming ‘‘no motion’’ means ‘‘no stress’’—internal forces can be substantial while the body remains at rest.


Final Answer:
does not change

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