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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.

Q: 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 …

Concept Axial stress σ = P / A(x). With constant axial force P, stress varies inversely with local area. Reasoning In a tapering member, A is least at the small end; hence σ is greatest there. Final Answer At the smaller end of the bar.

Difficulty: Easy

At the smaller end of the bar
At the larger end of the bar
At the mid-length of the bar
At an arbitrary location depending only on length

Correct Answer: At the smaller end of the bar

Explanation:

Concept
Axial stress σ = P / A(x). With constant axial force P, stress varies inversely with local area.

Reasoning
In a tapering member, A is least at the small end; hence σ is greatest there.

Final Answer
At the smaller end of the bar.

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