Aircraft Structures for Engineering Students, Fourth Edition by T.H.G. Megson
By T.H.G. Megson
Plane buildings for Engineering scholars is the major self contained airplane buildings path textual content. It covers all primary topics, together with elasticity, structural research, airworthiness and aeroelasticity. Now in its fourth version, the writer has revised and up to date the textual content all through and additional new case learn and labored instance fabric to make the textual content much more obtainable. contains a ideas handbook on hand to all adopting academics. * New association aids knowing of the basics of structural research and emphasizes functions to aircraftstructures* New labored examples in the course of the textual content relief figuring out and relate ideas to genuine global purposes* extra assurance comprises digital paintings, pressure box beams, submit buckling habit, fabric houses, composite constructions and crack propagation* an in depth plane layout undertaking case examine indicates the applying of the foremost concepts within the publication* finish of bankruptcy routines and accompanying Instructor's handbook at http://textbooks.elsevier.com
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Extra info for Aircraft Structures for Engineering Students, Fourth Edition (Elsevier Aerospace Engineering)
52) σx = Eεa = 70 000 × 1000 × 10−6 = 70 N/mm2 as before. References 1 2 3 Timoshenko, S. and Goodier, J. , Theory of Elasticity, 2nd edition, McGraw-Hill Book Company, New York, 1951. Wang, C. , Applied Elasticity, McGraw-Hill Book Company, New York, 1953. Megson, T. H. , Structural and Stress Analysis, 2nd edition, Elsevier, 2005. 1 A structural member supports loads which produce, at a particular point, a direct tensile stress of 80 N/mm2 and a shear stress of 45 N/mm2 on the same plane. Calculate the values and directions of the principal stresses at the point and also the maximum shear stress, stating on which planes this will act.
5 At a particular point in a structural member a two-dimensional stress system exists where σx = 60 N/mm2 , σy = −40 N/mm2 and τxy = 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 σx acts; verify these answers using a graphical method. 3 × 60) = −290 × 10−6 εy = 200 000 εx = From Eq. 52) γxy = τxy 50 = = 650 × 10−6 G 76 923 Now substituting in Eq. 35) for εx , εy and γxy εI = 10−6 360 − 290 1 + (360 + 290)2 + 6502 2 2 which gives εI = 495 × 10−6 Similarly, from Eq.
Fig. 8 (a) Stresses on a two-dimensional element; (b) stresses on an inclined plane at the point. 6 Determination of stresses on inclined planes The element of side δx, δy and of unit thickness is small so that stress distributions over the sides of the element may be assumed to be uniform. Body forces are ignored since their contribution is a second-order term. Suppose that we require to ﬁnd the state of stress on a plane AB inclined at an angle θ to the vertical. The triangular element EDC formed by the plane and the vertical through E is in equilibrium under the action of the forces corresponding to the stresses shown in Fig.