An aircraft with a mass of 100 000 kg and wing span of 38 m has a tricycle landing gear configuration. The wheel base is 20 m, and the minimum distance between the aircraft cg and the main gear is 1.3 m. The wing is made of aluminum with a modulus of elasticity of 70 GPa. Assume that the wing can be modeled with a beam of I-section with a second moment of area 0.008 m4. If the maximum allowable wing deflection is 3 cm, determine the maximum allowable wheel track.
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