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:
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:
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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