# Aircraft Structures for Engineering Students (3rd Edition) by T.H.G. Megson

By T.H.G. Megson

'Aircraft buildings for Engineering Students' presents a totally self contained path in airplane constructions, inclusive of dialogue at the basics of elasticity and airplane structural research, in addition to the linked subject matters of airworthiness and aeroelasticity. even supposing a lot of the fundamental fabric is undying, the writer has up to date the textual content all through, together with new fabric on parts that experience constructed because the final version - in either academic and technological phrases. in addition to wide revisions, the recent version features a ideas guide for all finish of bankruptcy difficulties to accompany the text.

The growth of aviation makes airplane constructions an more and more very important subject at undergraduate point. on the grounds that its unique e-book in 1972, this e-book has turn into the 'bible' for airplane constructions.

Extra labored examples and difficulties. newest fabrics in plane development. Airframe rather a lot produced by way of manoeuvring.

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**Example text**

9 we expressed the six components of strain at a point in a deformable body in terms of the three components of displacement at that point, u, v and w. We have supposed that the body remains continuous during the deformation so that no voids are formed. It follows that each component, u, v and w,must be a continuous, single-valued function or, in quantitative terms If voids were formed then displacements in regions of the body separated by the voids would be expressed as different functions of x,y and z.

For simplicity let us consider the two-dimensional case for which the body forces are zero. 6) verifies that the equations of equilibrium are satisfied by this particular stress-stress function relationship. Further substitution into Eq. 7) restricts the possible forms of the stress function to those satisfying the biharmonic equation a44 -+2ax4 a44 ax2ay2 a4q5 +-=O ay4 The final form of the stress function is then determined by the boundary conditions relating to the actual problem. Thus, a two-dimensional problem in elasticity with zero body forces reduces to the determination of a function 4 of x and y , which satisfies Eq.

A beam of length 1, with a thin rectangular cross-section, is built-in at the end x = 0 and loaded at the tip by a vertical force P (Fig. 2). Show that the stress distribution, as calculated by simple beam theory, can be represented by the expression q5 = Ay3 + By3x+ C ~ X as an Airy stress function and determine the coefficients A , B, C . Ans. A = 2Pl/td3, B = -2P/td3, C = 3P/2td Y I Fig. 3 A thin rectangular plate of unit thickness (Fig. 3) is loaded along the edge y = +d by a linearly varying distributed load of intensity MJ = p x with Fig.