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...


5. A beam has a square cross-section, a x a, where a is the linear dimension, and<br>is subject to a pure bending moment, M. M is known with an uncertainty of<br>+8% and a is known with an uncertainty of +9%. The strength of the material<br>is known to an uncertainty of ±5%. Find the minimum design factor such that<br>the beam is guaranteed not to fail.<br>Note that this is a beam in bending, not a link in tension, so the stress equation<br>is different from what was presented in class. Remember ME 3403.<br>

Extracted 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.

Jun 11, 2022
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