By T.H.G. Megson
Airplane constructions for Engineering scholars is the prime self contained plane constructions path textual content. It covers all primary matters, 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 extra new case examine and labored instance fabric to make the textual content much more available. incorporates a strategies handbook to be had to all adopting academics. * New association aids knowing of the basics of structural research and emphasizes purposes to aircraftstructures* New labored examples during the textual content relief knowing and relate ideas to genuine global purposes* extra assurance contains digital paintings, pressure box beams, publish buckling habit, fabric houses, composite buildings and crack propagation* an in depth airplane layout undertaking case learn exhibits the applying of the most important suggestions within the booklet* finish of bankruptcy workouts and accompanying Instructor's handbook at http://textbooks.elsevier.com
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Extra resources for Aircraft Structures for Engineering Students, Fourth Edition (Elsevier Aerospace Engineering)
42) and substituting in Eq. 49) E Using Eq. 9) and noting that for this particular case τxy = 0, σx = σI and σy = σII γ= 2τ = (σI − σII ) sin 2θ from which we may rewrite Eq. 49) in terms of τ as γ= 2(1 + ν) τ E The term E/2(1 + ν) is a constant known as the modulus of rigidity G. 42), provide the additional six equations required to determine the 15 unknowns in a general three-dimensional problem in elasticity. They are, however, limited in use to a linearly elastic isotropic body. 52) that the conditions of plane stress and plane strain do not necessarily describe identical situations.
5. 4 A rectangular element in a linearly elastic isotropic material is subjected to tensile stresses of 83 and 65 N/mm2 on mutually perpendicular planes. Determine the strain in the direction of each stress and in the direction perpendicular to both stresses. Find also the principal strains, the maximum shear stress, the maximum shear strain and their directions at the point. 3. 220 × 10−4 200 000 In this case, since there are no shear stresses on the given planes, σx and σy are principal stresses so that εx and εy are the principal strains and are in the directions of σx and σy .
Also the maximum and minimum values of shear stress occur when Q coincides with D and E at the upper and lower extremities of the circle. At these points Q N is equal to the radius of the circle which is given by CQ1 = (σx − σy )2 2 + τxy 4 19 20 Basic elasticity 2 as before. The planes of maximum and minHence τmax,min = ± 21 (σx − σy )2 + 4τxy imum shear stress are given by 2θ = β + π/2 and 2θ = β + 3π/2, these being inclined at 45◦ to the principal planes. 3 Direct stresses of 160 N/mm2 (tension) and 120 N/mm2 (compression) are applied at a particular point in an elastic material on two mutually perpendicular planes.
Aircraft Structures for Engineering Students, Fourth Edition (Elsevier Aerospace Engineering) by T.H.G. Megson