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Question 4.2: Using the same data given for Example 4.1, let us compute th...

Using the same data given for Example 4.1, let us compute the number of standard car stalls that can be placed along the module depth, assuming a stall depth of 16 feet \left(\mathrm{SD}=16^{\prime}\right) and a parking angle of 60 degrees (\theta=60).

Before we compute the above number, it is instructive to compare the module widths. With 90^{\circ} parking under option W4, earlier we obtained a module width of 66^{\prime}-0^{\prime \prime} from Table 4.1 for standard cars. With 60^{\circ} parking, however, from Table 4.1, we obtain 51^{\prime}-8^{\prime \prime} for the module width for standard cars. Hence, parking at an angle reduced the module width by more than 14 feet, which is a positive outcome (since it may allow us to place more modules in a given lot). However, as we next show, the number of stalls per module decreases when the parking angle is reduced from 90^{\circ} to 60^{\circ} .

Table 4.1 Module Width for Each Car Group as a Function of Single- and Double-Loaded Module Options
\theta   Angle of Park
SW W 45^{\circ} 50^{\circ} 55^{\circ} 60^{\circ} 65^{\circ} 70^{\circ} 75^{\circ} 80^{\circ} 85^{\circ} 90^{\circ}
Group I: small cars 8′0″ 1 25′9″ 26′6″ 27′2″ 29′4″ 31′9″ 34′0″ 36′2″ 38′2″ 40′0″ 41′9″
2 40′10″ 42′0″ 43′1″ 45′8″ 48′2″ 50′6″ 52′7″ 54′4″ 55′11″ 57′2″
3 38′9″ 40′2″ 41′5″ 44′2″ 47′0″ 49′6″ 51′10″ 53′10″ 55′8″ 57′2″
4 36′8″ 38′3″ 39′9″ 42′9″ 45′9″ 48′6″ 51′1″ 53′4″ 55′5″ 57′2″
Group II: standard cars 8′6″ 1 32′0″ 32′11″ 34′2″ 36′2″ 38′5″ 41′0″ 43′6″ 45′6″ 46′11″ 48′0″
2 49′10″ 51′9″ 53′10″ 56′0″ 58′4″ 60′2″ 62′0″ 63′6″ 64′9″ 66′0″
3 47′8″ 49′4″ 51′6″ 54′0″ 56′6″ 59′0″ 61′2″ 63′0″ 64′6″ 66′0″
4 45′3″ 46′10″ 49′0″ 51′8″ 54′6″ 57′10″ 60′0″ 62′6″ 64′3″ 66′0″
9′0″ 1 32′0″ 32′9″ 34′0″ 35′4″ 37′6″ 39′8″ 42′0″ 44′4″ 46′2″ 48′0″
2 49′4″ 51′0″ 53′2″ 55′6″ 57′10″ 60′0″ 61′10″ 63′4″ 64′9″ 66′0″
3 46′4″ 48′10″ 51′4″ 53′10″ 56′0″ 58′8″ 61′0″ 63′0″ 64′6″ 66′0″
4 44′8″ 46′6″ 49′0″ 51′6″ 54′0″ 57′0″ 59′8″ 62′0″ 64′2″ 66′0″
9′6″ 1 32′0″ 32′8″ 34′0″ 35′0″ 36′10″ 38′10″ 41′6″ 43′8″ 46′0″ 48′0″
2 49′2″ 50′2″ 51′10″ 53′6″ 55′4″ 58′0″ 60′6″ 62′8″ 64′6″ 65′11″
3 47′0″ 48′2″ 49′10″ 51′6″ 53′11″ 57′0″ 59′8″ 62′0″ 64′3″ 65′11″
4 44′8″ 45′10″ 47′6″ 49′10″ 52′6″ 55′9″ 58′9″ 61′6″ 63′10″ 65′11″
Group III: large cars 9′0″ 1 32′7″ 33′0″ 34′0″ 35′11″ 38′3″ 40′11″ 43′6″ 45′5″ 46′9″ 48′0″
2 50′2″ 51′2″ 53′3″ 55′4″ 58′0″ 60′4″ 62′9″ 64′3″ 65′5″ 66′0″
3 47′9″ 49′1″ 52′3″ 53′8″ 56′2″ 59′2″ 61′11″ 63′9″ 65′2″ 66′0″
4 45′5″ 46′11″ 49′0″ 51′8″ 54′9″ 58′0″ 61′0″ 63′2″ 64′10″ 66′0″
9′6″ 1 32′4″ 32′8″ 33′10″ 34′11″ 37′2″ 39′11″ 42′5″ 45′0″ 46′6″ 48′0″
2 49′11″ 50′11″ 52′2″ 54′0″ 56′6″ 59′3″ 61′9″ 63′4″ 64′8″ 66′0″
3 47′7″ 48′9″ 50′2″ 52′4″ 55′1″ 58′4″ 60′11″ 62′10″ 64′6″ 66′0″
4 45′3″ 46′8″ 48′5″ 50′8″ 53′8″ 57′0″ 59′10″ 52′2″ 64′1″ 66′0″
10′0″ 1 32′4″ 32′8″ 33′10″ 34′11″ 37′2″ 39′11″ 42′5″ 45′0″ 46′6″ 48′0″
2 49′11″ 50′11″ 52′2″ 54′0″ 56′6″ 59′3″ 61′9″ 63′4″ 64′8″ 66′0″
3 57′7″ 48′9″ 50′2″ 52′4″ 55′1″ 58′4″ 60′11″ 62′11″ 64′6″ 66′0″
4 45′3″ 46′8″ 48′5″ 50′8″ 53′8″ 57′0″ 59′10″ 62′2″ 64′1″ 66′0″
Source: Ramsey and Sleeper [8].
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