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5. A beam has a square cross-section, a x a, where a is the linear dimension, and is subject to a pure bending moment, M. M is known with an uncertainty of +8% and a is known with an uncertainty of +9%. The strength of the material is known to an uncertainty of ±5%. Find the minimum design factor such that the beam is guaranteed not to fail.

5. A beam has a square cross-section, a x a, where a is the linear dimension, and is subject to a pure bending moment, M. M is known with an uncertainty of +8% and a is known with an uncertainty of +9%. The strength of the material is known to an uncertainty of ±5%. Find the minimum design factor such that the beam is guaranteed not to fail.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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5. A beam has a square cross-section, a x a, where a is the linear dimension, and is subject to a pure bending moment, M. M is known with an uncertainty of +8% and a is known with an uncertainty of +9%. The strength of the material is known to an uncertainty of ±5%. Find the minimum design factor such that the beam is guaranteed not to fail. Note that this is a beam in bending, not a link in tension, so the stress equation is different from what was presented in class. Remember ME 3403.
Transcribed Image Text:5. A beam has a square cross-section, a x a, where a is the linear dimension, and is subject to a pure bending moment, M. M is known with an uncertainty of +8% and a is known with an uncertainty of +9%. The strength of the material is known to an uncertainty of ±5%. Find the minimum design factor such that the beam is guaranteed not to fail. Note that this is a beam in bending, not a link in tension, so the stress equation is different from what was presented in class. Remember ME 3403.
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