The shaft is supported by journal bearings at A and B The sh

The shaft is supported by journal bearings at A and B. The shaft material has a yield strength of 15 ksi. Determine the location of the critical (dangerous) section for the shaft. Determine the smallest radius of the shaft based on the Tresca theory. Determine the smallest radius of the shaft based on the von Mises theory. [Use the result from the first problem]

Solution

Proposals for a parking ramp having been defeated, we plan to build a parking lot in the downtown urban renewal section. The cost of land is 200W + 100D, where W is the width along the street and D the depth of the lot in meters. The available width along the street is 100m, while the maximum depth available is 200m. We want to have at least 10,000m2 in the lot. To avoid unsightly lots, the city requires that the longer dimension of any lot be no more than twice the shorter dimension. Formulate the minimum cost design problem.