The wing spar ABD of a light plane is made from 2014-T6 aluminum and has a cross
ID: 1719073 • Letter: T
Question
The wing spar ABD of a light plane is made from 2014-T6 aluminum and has a cross-sectional area of 800 mm2, a height of 76 mm. and a moment of inertia about its neutral axis of 1.21(10^-6) m^4. Assume A, B and C are pins. The neutral axis passes through the cross-section at half of its height. Connection is made along the central longitudinal axis of the spar. The anticipated loading is to be as shown. Part A Determine the absolute maximum bending stress in the spar. Express your answer to three significant figures and include the appropriate units.Explanation / Answer
Drawing Free Body Diagram (FBD) of the span,
Writing equilibrium equation in vertical direction,
R1 + R2 = -19.44
Writing moment equation about point A,
R2 = -19.44
R1 = 0
Maximum bending stress will be at the support point A.
Maximum bending moment = 19.44 x 0.8 = 15.552 kN-m.
Maximum bending stress = Mc/I = 15.552 x 0.038 / 1.21 x 10-6 m4
= 488.409 MPa
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