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Engineering and Tech / Mechanics of Materials 9 / Chapter 6 / Problem 6-93

Mechanics of Materials | 9th Edition | ISBN: 9780133254426 | Authors: R.C. Hibbeler

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The wing spar ABD of a light plane is made from 2014T6

Chapter 6, Problem 6-93

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QUESTION:

The wing spar ABD of a light plane is made from 2014–T6 aluminum and has a cross-sectional area of \(1.27 \ \mathrm{in.}^{2}\), a depth of 3 in., and a moment of inertia about its neutral axis of \(2.68 \ \mathrm{in}^{4}\). Determine the absolute maximum bending stress in the spar if the anticipated loading is to be as shown. Assume A, B, and C are pins. Connection is made along the central longitudinal axis of the spar.

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QUESTION:

The wing spar ABD of a light plane is made from 2014–T6 aluminum and has a cross-sectional area of \(1.27 \ \mathrm{in.}^{2}\), a depth of 3 in., and a moment of inertia about its neutral axis of \(2.68 \ \mathrm{in}^{4}\). Determine the absolute maximum bending stress in the spar if the anticipated loading is to be as shown. Assume A, B, and C are pins. Connection is made along the central longitudinal axis of the spar.

ANSWER:

Assuming the anticipated loading is in the form of a simple triangle load shown in the diagram, the maximum bending stress in the spar can be calculated by solving for the internal bending reactions of the pins A,B,C. The shear force at A and C can then be

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