The triangular load has a maximum intensity \( w_{\text{max}} = 580 \, \text{lb/ft} \) and spans a total length of \( 21 \, \text{ft} \) (6 ft + 6 ft + 4.5 ft + 4.5 ft). The area of the triangle is given by:
\[ \text{Total Load} = \frac{1}{2} \times \text{base}
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