By T.H.G. Megson
Aircraft buildings for Engineering scholars is the best self contained airplane constructions direction textual content. It covers all primary 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 routines utilizing Matlab(c). extra labored examples make the textual content much more available by way of exhibiting software of ideas to airframe constructions. incorporates a ideas handbook to be had to all adopting teachers.
* New labored examples during the textual content reduction knowing and relate innovations to genuine international functions * Matlab examples and routines extra all through to aid use of computational instruments in research and design
* an intensive airplane layout undertaking case learn indicates the applying of the key innovations within the ebook * extra finish of bankruptcy workouts, with an accompanying Solutions guide (for teachers purely) at http://textbooks.elsevier.com
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Additional info for Aircraft Structures for Engineering Students
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. 2 STRESS FUNCTIONS The solution of problems in elasticity presents difficulties, but the procedure may be simplified by the introduction of a stress function. For a particular two-dimensional case, the stresses are related to a single function of x and y such that substitution for the stresses in terms of this function automatically satisfies the equations of equilibrium no matter what form the function may take.
54) E The constant E/3(1 – 2n) is known as the bulk modulus or modulus of volume expansion and is often given the symbol K. An examination of Eq. 5, since a body cannot increase in volume under pressure. Also, the lateral dimensions of a body subjected to uniaxial tension cannot increase, so that n > 0. 33 below the elastic limit. 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.
34) regarding en and g/2. Therefore, at a point in a deformable body, there are two mutually perpendicular planes on which the shear strain g is zero and normal to which the direct strain is a maximum or minimum. These strains are the principal strains at that point and are given (from comparison with Eqs. 7, that the directions of the principal strains and principal stresses coincide. The related planes are then determined from Eq. 10) or from tan2y ¼ gxy ex À ey In addition, the maximum shear strain at the point is qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ g 1 ðex À ey Þ2 þ g2xy ¼ 2 max 2 or (compare with Eqs.
Aircraft Structures for Engineering Students by T.H.G. Megson