The mast of a sailboat has a cross-sectional area of 10.65 cm2 and is constructed of an experimental aluminum alloy. Tests were performed to define the relationship between stress and strain. The test results are

The stress caused by wind can be computed as F/A_c; where F = force in the mast and A_c mast’s cross-sectional area. This value can then be substituted into Hooke’s law to determine the mast’s deflection. ∆L = strain x L, where L = the mast’s length. If the wind force is 25,000 N, use the data to estimate the deflection of a 9-m mast.

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Strain, cm/cm 0.0032 0.0045 0.0055 0.0016 0.0085 0.0005 5170 6900 1240 Stress, N/cm2 4970 5500 3590