By T.H.G. Megson

Aircraft buildings for Engineering scholars is the major self contained airplane constructions path textual content. It covers all basic topics, together with elasticity, structural research, airworthiness and aeroelasticity. Now in its fifth version, the writer has revised and up to date the textual content all through and further new examples and workouts utilizing Matlab(c).  extra labored examples make the textual content much more available by means of displaying program of techniques to airframe constructions. encompasses a strategies guide to be had to all adopting teachers.

* New labored examples through the textual content relief knowing and relate options to actual international purposes * Matlab examples and routines further all through to help use of computational instruments in research and design

* an in depth airplane layout undertaking case examine indicates the applying of the key strategies within the ebook * extra finish of bankruptcy workouts, with an accompanying Solutions guide (for teachers merely) at http://textbooks.elsevier.com

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Additional info for Aircraft Structures for Engineering Students

Example text

6 Bending of an end-loaded cantilever 61 The term on the right-hand side of this equation is a constant, which means that F1(x) and F2(y) must be constants; otherwise, a variation in either x or y destroys the equality. 19) and @f2 ðxÞ Px2 þC ¼ 2EI @x @f1 ðyÞ Py2 nPy2 À þD ¼ 2IG 2EI @y so that f2 ðxÞ ¼ Px3 þ Cx þ F 6EI and f1 ðyÞ ¼ Py3 nPy3 À þ Dy þ H 6IG 6EI Therefore, from Eqs. 21) The constants C, D, F, and H are now determined from Eq. 19) and the displacement boundary conditions imposed by the support system.

5 At a particular point in a structural member, a two-dimensional stress system exists where sx ¼ 60 N/mm2, sy ¼ –40 N/mm2, and txy ¼ 50 N/mm2. 3, calculate the direct strain in the x and y directions and the shear strain at the point. Also calculate the principal strains at the point and their inclination to the plane on which sx acts; verify these answers using a graphical method. See Ex. 1. From Eqs. 52), ex ¼ 1 ð60 þ 0:3 Â 40Þ ¼ 360 Â 10À6 200; 000 ey ¼ 1 ðÀ40 À 0:3 Â 60Þ ¼ À290 Â 10À6 200; 000 From Eq.

1) From Eqs. 3) and Adding Eqs. 3), then substituting in Eq. 4) The alternative two-dimensional problem of plane strain may also be formulated in the same manner. 21) for the plane strain condition. Further, from the third of Eqs. 2 Stress functions 49 and ey ¼ Ã 1Â ð1 À n2 Þsy À nð1 þ nÞsx E Also, gxy ¼ 2ð1 þ nÞ txy E Substituting as before in Eq. 5) ðsx þ sy Þ ¼ À þ 1 À n @x @y @x2 @y2 The two equations of equilibrium together with the boundary conditions, from Eqs. 5), are generally sufficient for the determination of the stress distribution in a two-dimensional problem.