By T.H.G. Megson
Plane buildings for Engineering scholars is the best self contained plane buildings 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 learn and labored instance fabric to make the textual content much more obtainable. features a recommendations handbook to be had to all adopting academics. * New association aids figuring out of the basics of structural research and emphasizes functions to aircraftstructures* New labored examples during the textual content reduction realizing and relate innovations to actual international functions* extra assurance comprises digital paintings, rigidity box beams, publish buckling habit, fabric houses, composite buildings and crack propagation* an intensive airplane layout venture case learn exhibits the applying of the foremost recommendations within the publication* finish of bankruptcy workouts and accompanying Instructor's handbook at http://textbooks.elsevier.com
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Additional resources for Aircraft Structures for Engineering Students, Fourth Edition (Elsevier Aerospace Engineering)
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.
10) sin 2θ = 2τxy 2 (σx − σy )2 + 4τxy cos 2θ = σx − σy 2 (σx − σy )2 + 4τxy and sin 2(θ + π/2) = −2τxy 2 (σx − σy )2 + 4τxy cos 2(θ + π/2) = −(σx − σy ) 2 (σx − σy )2 + 4τxy Rewriting Eq. 12) and where σI is the maximum or major principal stress and σII is the minimum or minor principal stress. Note that σI is algebraically the greatest direct stress at the point while σII is algebraically the least. e. compressive, it is possible for σII to be numerically greater than σI . 8 Mohr’s circle of stress The maximum shear stress at this point in the body may be determined in an identical manner.
The second force system derives from gravitational and inertia effects and the forces are known as body forces. These are distributed over the volume of the body and the components of body force per unit volume are designated X, Y and Z. 3 Equations of equilibrium Generally, except in cases of uniform stress, the direct and shear stresses on opposite faces of an element are not equal as indicated in Fig. 5 but differ by small amounts. Therefore if, say, the direct stress acting on the z plane is σz then the direct stress acting on the z + δz plane is, from the ﬁrst two terms of a Taylor’s series expansion, σz + (∂σz /∂z)δz.