1. **Problem Statement:** We need to verify the calculation of the maximum stress, which the professor states should be 39.5.
2. **Formula for Maximum Stress:** The maximum stress in a material under bending is given by the formula:
$$\sigma_{max} = \frac{M c}{I}$$
where:
- $M$ is the bending moment,
- $c$ is the distance from the neutral axis to the outermost fiber,
- $I$ is the moment of inertia of the cross-section.
3. **Important Rules:**
- Ensure units are consistent.
- Calculate $M$, $c$, and $I$ correctly.
- Use correct substitution and simplification.
4. **Intermediate Work:**
- Calculate or verify $M$ (bending moment).
- Calculate or verify $c$ (distance to outer fiber).
- Calculate or verify $I$ (moment of inertia).
5. **Substitute values:**
$$\sigma_{max} = \frac{M c}{I}$$
Assuming values from the problem (not provided), substitute and simplify.
6. **Simplify fractions and cancel common factors:**
$$\sigma_{max} = \frac{\cancel{M} \times \cancel{c}}{\cancel{I}}$$
(Show actual cancellation if values are given.)
7. **Final Answer:**
If the calculation matches 39.5, then the professor's result is correct.
If you provide the specific values for $M$, $c$, and $I$, I can verify the exact calculation step-by-step.
Max Stress Review 3C7491
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