By T.H.G. Megson

Airplane constructions for Engineering scholars is the top self contained plane buildings direction textual content. It covers all basic topics, together with elasticity, structural research, airworthiness and aeroelasticity. Now in its fourth variation, the writer has revised and up to date the textual content all through and additional new case research and labored instance fabric to make the textual content much more obtainable. features a options guide on hand to all adopting lecturers. * New association aids knowing of the basics of structural research and emphasizes purposes to aircraftstructures* New labored examples in the course of the textual content relief realizing and relate ideas to actual international purposes* extra insurance comprises digital paintings, rigidity box beams, publish buckling habit, fabric houses, composite constructions and crack propagation* an intensive plane layout venture case learn indicates the applying of the most important concepts within the ebook* finish of bankruptcy workouts and accompanying Instructor's guide at http://textbooks.elsevier.com

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**Extra resources for Aircraft Structures for Engineering Students, Fourth Edition (Elsevier Aerospace Engineering) **

**Example text**

12 (a) Stresses on a triangular element; (b) Mohr’s circle of stress for stress system shown in (a). and τ= (σx − σy ) sin 2θ − τxy cos 2θ 2 (Eq. 9)) respectively. The positive directions of these stresses and the angle θ are deﬁned in Fig. 12(a). 8) may be rewritten in the form σn = σy σx (1 + cos 2θ) + (1 − cos 2θ) + τxy sin 2θ 2 2 or 1 1 σn − (σx + σy ) = (σx − σy ) cos 2θ + τxy sin 2θ 2 2 Squaring and adding this equation to Eq. 9) we obtain 1 σn − (σx + σy ) 2 2 + τ2 = 1 (σx − σy ) 2 2 2 + τxy 2 and having its which represents the equation of a circle of radius 21 (σx − σy )2 + 4τxy centre at the point ((σx − σy )/2, 0).

41) E E in which ν is a constant termed Poisson’s ratio. 42) may be transposed to obtain expressions for each stress in terms of the strains. 45) in which e = εx + εy + εz (see Eq. 47) Suppose now that, at some arbitrary point in a material, there are principal strains εI and εII corresponding to principal stresses σI and σII . If these stresses (and strains) are in the direction of the coordinate axes x and y, respectively, then τxy = γxy = 0 and from Eq. 42) and substituting in Eq. 49) E Using Eq.

I) or for σs in Eq. (ii). 16 Experimental measurement of surface strains Stresses at a point on the surface of a piece of material may be determined by measuring the strains at the point, usually by electrical resistance strain gauges arranged in the form of a rosette, as shown in Fig. 18. Suppose that εI and εII are the principal strains at the point, then if εa , εb and εc are the measured strains in the directions θ, (θ + α), (θ + α + β) to εI we have, from the general direct strain relationship of Eq.