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Problem 16-3: Determine the maximum flexural stress in the i-beam below caused by the applied loads. Given y = ± 8.995 in and ix = 800 in⁴. What is the maximum stress (σ) in ksi?

User Castis
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Final answer:

To determine the maximum flexural stress in an I-beam, the formula σ = Mc/I is used, where σ represents the stress, M the bending moment, c the distance from the neutral axis, and I the moment of inertia. The given values for c and I are plugged into this formula to calculate flexural stress in ksi, given the bending moment M.

Step-by-step explanation:

The maximum flexural stress (σ) in an I-beam due to applied loads can be calculated using the formula for bending stress: σ = Mc/I, where M is the bending moment, c is the distance from the neutral axis to the outermost fiber (given as y = ± 8.995 in), and I is the moment of inertia (given as ix = 800 in⁴).

To solve for the maximum stress σ in ksi (kips per square inch), we need to know the value of the bending moment M, which depends on the applied loads and the specific loading conditions of the I-beam. The value of σ can then be computed by substituting the given values into the stress formula σ = Mc/I, converting units where necessary to ensure consistency and express the final answer in ksi.

User Nick Locking
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