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Sarkari MCQs Government Exam Question Bank
Question no. 18477

A 1 m long steel rod with square profile stretches by 1 mm under an 8-tonne tensile pull. Given Esteel = 2 × 106 kg/cm2, the cross-section side dimension is_________________?

Select your answer for: A 1 m long steel rod with square profile stretches by 1 mm under an 8-tonne tensile pull. Given Esteel = 2 × 106 kg/cm2, the cross-section side dimension is_________________?
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Answer: C. 2 cm

Explanation

Applying axial deformation formulas with the given tensile pull, length, and Young's modulus results in a cross-section side dimension of 2 cm. Rearranging the axial elongation equation area equals force times length divided by modulus and deformation yields the required square area. Taking the square root of the calculated cross-sectional area confirms that the side dimension of the square profile rod equals two centimeters. Axial deformation of a prismatic bar is governed by Hooke's law, relating applied load, length, cross-sectional area, and elastic modulus. Young's modulus represents the intrinsic stiffness of an elastic material, measuring the resistance to linear stretching or compression. Square profile rods feature uniform width and thickness dimensions, simplifying cross-sectional area calculations in structural mechanics problems.

Option A underestimates the cross-sectional side dimension, which would result in an excessive elongation exceeding the specified one millimeter. Option B represents an intermediate side dimension that fails to satisfy the rigorous axial deformation equation parameters. Option D overestimates the side dimension, yielding a stiffer cross-section that would stretch much less than the specified one millimeter.

Subject
Engineering
Category
Civil Engineering
Topic
—
Difficulty
medium

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