Axial stress in a tapering bar: where is the maximum stress located? A bar has a tapering cross-section along its length and carries a constant axial force. State the point along the bar where the axial normal stress is maximum. Choose the correct location.
Mechanical Engineering
Strength of Materials
Difficulty: Easy
Choose an option
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AAt the smaller end of the bar
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BAt the larger end of the bar
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CAt the mid-length of the bar
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DAt an arbitrary location depending only on length
Answer
Correct Answer: At the smaller end of the bar
Explanation
ConceptAxial stress σ = P / A(x). With constant axial force P, stress varies inversely with local area.
ReasoningIn a tapering member, A is least at the small end; hence σ is greatest there.
Final AnswerAt the smaller end of the bar.