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Question no. 57554

For steel, the ultimate shear strength relative to ultimate tensile strength is___________________?

Select your answer for: For steel, the ultimate shear strength relative to ultimate tensile strength is___________________?
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Answer: E. 2/3

Explanation

According to distortion energy yield theories for ductile steels, ultimate shear strength is approximately two-thirds of tensile strength. Shear failure mechanisms require less principal stress energy than direct tensile tearing in ductile metals. Empirical testing of carbon steels consistently confirms that ultimate shear strength is about 0.6 to 0.7 of tensile strength. Ultimate tensile strength measures the maximum stress a material can withstand while being stretched before breaking. Ultimate shear strength measures resistance to forces acting parallel to the plane of the resisting cross section. Machine design calculations use this two-thirds ratio when analyzing torsional shaft failure and fastener shearing.

Options A, B, C, and D propose incorrect fractions that do not align with established metallurgical test data for steel. Option B one-half and option C one-third underestimate the actual shear capacity of engineering steel alloys. Option E two-thirds is the standard theoretical and empirical ratio used for ductile steel components.

Subject
Engineering
Topic
—
Difficulty
medium

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