Consider the cantilevered beam in example 10.2. At the optimum design with the strength constraint, we have \(w=2.25 \mathrm{in}\). and \(h=4.47 \mathrm{in}\). Calculate the sensitivity of the tip displacement with respect to the height of the beam. Compare the sensitivity results with the exact sensitivity

Data From Example 10.2:

Consider a cantilevered beam shown in figure 10.3 with \(E=2.9 \times 10^{4} \mathrm{ksi}\). The width \(w\) is taken as 2.25 inches, while the height \(h\) is considered a design variable. The design should satisfy the factor of safety 1.5 .

Transcribed Image Text:

dv2 dh 12FL 12x2,000 x 100 (10.27) = -4.118. Ewh4 exact 2.9 x 107 x 2.25 x 4.473