By T.H.G. Megson
Airplane constructions for Engineering scholars is the best self contained plane constructions path textual content. It covers all basic matters, together with elasticity, structural research, airworthiness and aeroelasticity. Now in its fourth variation, the writer has revised and up to date the textual content all through and additional new case examine and labored instance fabric to make the textual content much more available. features a recommendations handbook to be had to all adopting academics. * New association aids figuring out of the basics of structural research and emphasizes purposes to aircraftstructures* New labored examples through the textual content reduction knowing and relate innovations to actual international purposes* extra assurance comprises digital paintings, pressure box beams, submit buckling habit, fabric houses, composite buildings and crack propagation* an in depth plane layout venture case learn indicates the applying of the most important suggestions within the e-book* finish of bankruptcy routines 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)
3 N/mm2 Fig. 2. The shear stress, τxy , at the same point due to the torque is obtained from Eq. e. 3 N/mm2 The stress system acting on a two-dimensional rectangular element at the point is shown in Fig. 11. Note that since the element is positioned at the bottom of the beam the shear stress due to the torque is in the direction shown and is negative (see Fig. 8). 9). 3 N/mm2 the negative sign arising from the fact that it is in the opposite direction to τxy in Fig. 8. 0 N/mm2 (acting in the direction AB) Different answers would have been obtained if the plane AB had been chosen on the opposite side of AC.
13) is the negative reciprocal of Eq. 10) then the angles 2θ given by these two equations differ by 90◦ or, alternatively, the planes of maximum shear stress are inclined at 45◦ to the principal planes. 8 Mohr’s circle of stress The state of stress at a point in a deformable body may be determined graphically by Mohr’s circle of stress. 6 the direct and shear stresses on an inclined plane were shown to be given by σn = σx cos2 θ + σy sin2 θ + τxy sin 2θ (Eq. 8)) 17 18 Basic elasticity Fig. 12 (a) Stresses on a triangular element; (b) Mohr’s circle of stress for stress system shown in (a).
The mid-point C of P1 P2 is then located. OB = σ1 = 200 N/mm2 is marked out and the radius of the circle is then CB. OA is the required principal stress. Perpendiculars P1 Q1 and P2 Q2 to the circumference of the circle are equal to ±τxy (to scale) and the radius of the circle is the maximum shear stress. Fig. 3 using Mohr’s circle of stress. 9 Strain The external and internal forces described in the previous sections cause linear and angular displacements in a deformable body. These displacements are generally deﬁned in terms of strain.
Aircraft Structures for Engineering Students, Fourth Edition (Elsevier Aerospace Engineering) by T.H.G. Megson