Discussion
Assertion (A): A structure becomes progressively less efficient as it approaches its ultimate load.
Reason (R): Effective width varies inversely with the square root of the stiffener stress.
Select the correct answer from the options below.
Answer: D
Correct answer: Both A and R are true, and R is the correct explanation of A
Both are true and the reason explains the loss of efficiency. Since \( 2w \propto 1/\sqrt{\sigma} \), raising the stiffener stress narrows the working strip of skin, so a larger share of the load must be carried by the stiffener alone. Each further increment of load is therefore taken by less material than the one before, and the structure becomes progressively less efficient as it approaches ultimate.
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