P2.25. In the gabled roof structure shown in Figure P2.19, determine the sloped roof snow load $$ P_{s} $$. The building is heated and is located in a windy area in Boston. Its roof consists of asphalt shingles. The building is used for a manufacturing facility, placing it in a type II occupancy category. Determine the roof slope factor, $$ C_{s} $$ using the ASCE graph shown in Figure P2.25. If roof trusses are spaced at 16 ft on center, what is the uniform snow load along a truss?

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To solve the problem, we need to determine the sloped roof snow load $$ P_{s} $$ using the given conditions. Here are the steps we will follow:

1. **Identify Known Conditions:**
   - The building is located in Boston.
   - The roof consists of asphalt shingles.
   - The building is used for a manufacturing facility (Type II occupancy).
   - Roof trusses are spaced at 16 ft on center.

2. **Determine the Roof Slope Factor $$ C_{s} $$:**
   - We need to refer to the ASCE graph (Figure P2.25) to find the roof slope factor $$ C_{s} $$. This factor depends on the slope of the roof and the type of roofing material.

3. **Calculate the Sloped Roof Snow Load $$ P_{s} $$:**
   - The sloped roof snow load can be calculated using the formula:
     $$
     P_{s} = C_{s} \cdot P_{g}
     $$
   where $$ P_{g} $$ is the ground snow load.

4. **Calculate the Uniform Snow Load Along a Truss:**
   - The uniform snow load along a truss can be calculated by multiplying the sloped roof snow load $$ P_{s} $$ by the tributary area of the truss. The tributary area for a truss spaced at 16 ft on center is:
     $$
     \text{Tributary Area} = \text{Spacing} \times \text{Length}
     $$
   - Assuming the length of the truss is the same as the width of the building, we can calculate the uniform load.

### Step 1: Determine $$ C_{s} $$

To proceed, we need the slope of the roof and the ASCE graph to find $$ C_{s} $$. Please provide the slope of the roof or any additional information from the ASCE graph.

### Step 2: Calculate $$ P_{s} $$

Once we have $$ C_{s} $$ and $$ P_{g} $$ (the ground snow load for Boston), we can calculate $$ P_{s} $$.

### Step 3: Calculate Uniform Snow Load

Finally, we will calculate the uniform snow load along a truss.

Please provide the necessary information to continue with the calculations.
To determine the sloped roof snow load $$ P_{s} $$, follow these steps: 1. **Identify Conditions:** - Building location: Boston. - Roof material: Asphalt shingles. - Occupancy type: Manufacturing (Type II). - Truss spacing: 16 ft on center. 2. **Find Roof Slope Factor $$ C_{s} $$:** - Refer to the ASCE graph (Figure P2.25) to determine $$ C_{s} $$ based on the roof slope and material. 3. **Calculate $$ P_{s} $$:** - Use the formula: $$ P_{s} = C_{s} \times P_{g} $$ where $$ P_{g} $$ is the ground snow load for Boston. 4. **Determine Uniform Snow Load Along a Truss:** - Calculate the tributary area: $$ \text{Tributary Area} = 16 \, \text{ft} \times \text{Length} $$ - Multiply $$ P_{s} $$ by the tributary area to find the uniform snow load. **Note:** Provide the roof slope or access to the ASCE graph to find $$ C_{s} $$ accurately.

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