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Using the Rafter Table, Find the Length of Common Rafters

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Short Answer

Using the rafter table, find the length of common rafters in the following problems. Express answers in feet and inches, correct to the nearest 1/8 inch.

 WINDOW SCHEDULE  Symbol  Item  Quantity  Type  Window  Rough Opening  Unit Size  Manufacturer  No.  Remarks  A 11 Bay 99  1/2×5496  1/4×411  1/8 Jones 1580 Radius 104  1/2 B 24 Sliding 37  1/4×36  1/435  1/2×33  1/2 Smith 16285 Removable Sash C 31 Double  Hung 210  1/8×31  1/828×210 Jones 1437 D 46 Double  Hung 32  1/8×45  1/330×42 Jones 1467 E 52 Casement 54×18411×13 Smith 782 A\begin{array}{c}\text { WINDOW SCHEDULE }\\\begin{array}{|c|c|c|l|l|l|l|l|}\hline \text { Symbol } & \text { Item } & \text { Quantity } & \begin{array}{c}\text { Type } \\\text { Window }\end{array} & \text { Rough Opening } & \text { Unit Size } & \begin{array}{c}\text { Manufacturer } \\\text { No. }\end{array} & \text { Remarks } \\\hline \text { A } & 1 & 1 & \text { Bay } & 9^{\prime}-9 ~~1/2^{\prime \prime} \times 5^{\prime}-4^{\prime \prime} & 9^{\prime}-6~~1/4^{\prime \prime} \times 4^{\prime}-11 ~~1/8^{\prime \prime} & \text { Jones } 1580 &\text { Radius } 10^{\prime}-4 ~~1/2{ }^{\prime \prime}\\\hline \text { B } & 2 & 4 & \text { Sliding } & 3^{\prime}-7~~1/4^{\prime \prime} \times 3^{\prime}-6 ~~1 / 4^{{\prime \prime}} & 3^{\prime}-5~~1/2^{\prime \prime} \times 3^{\prime \prime}-3~~1/ 2^{\prime \prime} & \text { Smith } 16285 &\text { Removable Sash}\\\hline \text { C } & 3 & 1 & \begin{array}{l}\text { Double } \\\text { Hung }\end{array} & 2^{\prime}-10~~1/8^{\prime \prime} \times 3^{\prime}-1~~1 / 8^{\prime \prime} & 2^{\prime}-8^{\prime \prime} \times 2^{\prime}-10^{\prime \prime} & \text { Jones } 1437 \\\hline \text { D } & 4 & 6 & \begin{array}{l}\text { Double } \\\text { Hung }\end{array} & 3^{\prime}-2~~1/8^{\prime \prime} \times 4^{\prime}-5~~1/3^{\prime \prime} & 3^{\prime}-0^{\prime \prime} \times 4^{\prime}-2^{\prime \prime} & \text { Jones } 1467 \\\hline \text { E } & 5 & 2 & \text { Casement } & 5^{\prime}-4^{\prime \prime} \times 1^{\prime}-8^{\prime \prime} & 4^{\prime}-11^{\prime} \times 1^{\prime}-3^{\prime \prime} & \text { Smith } 782 \mathrm{~A} \\\hline\end{array}\end{array} What is the span of a roof if the pitch is 1/6 and the rise is 6 feet?


Definitions:

Utility Function

A mathematical representation in economics that captures an individual's preference ranking for different bundles of goods or outcomes.

Nonlabor Income

Income received from sources other than employment, such as investments, pensions, or inheritances.

Wage Rate

The fixed or variable payment earned by employees for their work or services, typically documented on an hourly, daily, or piecework basis.

Indifference Curves

A graph showing different bundles of goods between which a consumer is indifferent, illustrating preferences and trade-offs.

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