1. **State the problem:** Calculate the value of
$$M_{r\max} = 400 \times 530 \times 0.025 \times 0.85 \times 300 \times \left( 530 - \frac{0.85 \times 300 \times 530 \times 0.025}{2 \times 0.81 \times 0.65 \times 30} \right) \times 10^{-6}$$
2. **Calculate the denominator inside the parentheses:**
$$2 \times 0.81 \times 0.65 \times 30 = 2 \times 0.81 \times 0.65 \times 30 = 31.59$$
3. **Calculate the numerator inside the fraction:**
$$0.85 \times 300 \times 530 \times 0.025 = 0.85 \times 300 \times 530 \times 0.025 = 3378.75$$
4. **Calculate the fraction inside the parentheses:**
$$\frac{3378.75}{31.59} \approx 107.01$$
5. **Calculate the expression inside the parentheses:**
$$530 - 107.01 = 422.99$$
6. **Calculate the product of the constants outside the parentheses:**
$$400 \times 530 \times 0.025 \times 0.85 \times 300 = 400 \times 530 \times 0.025 \times 0.85 \times 300 = 1351500$$
7. **Multiply the product by the parentheses result:**
$$1351500 \times 422.99 = 571676985$$
8. **Multiply by $10^{-6}$ to get the final result:**
$$571676985 \times 10^{-6} = 571.68$$
**Final answer:**
$$M_{r\max} \approx 571.68$$
Moment Calculation A279Bc
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