Introduction to Aircraft Structural Analysis 3rd. Edition by Thomas H G Megson | 9780080982014 | 0081020767 | Holooly

Introduction to Aircraft Structural Analysis [EXP-33009]

151 SOLVED PROBLEMS

Question: 1.7

A bar of solid circular cross-section has a diameter of 50 mm and carries a torque, T, together with an axial tensile load, P. A rectangular strain gauge rosette attached to the surface of the bar gives the following strain readings: εa = 1000 × 10^-6 , εb = –200 × 10^-6, and εc = –300 × 10^-6,

Verified Answer:

Substituting the values of

\varepsilon_{a},...

Question: 24.13

A beam has the singly symmetrical composite section shown in Fig. 24.17. The flange laminates are identical and have a Young’s modulus, EZ, of 60,000 N/mm^2 while the vertical web has a Young’s modulus, EZ, of 20,000 N/mm^2. If the beam is subjected to an axial load of 40 kN, determine the axial

Verified Answer:

For each flange,

b_{i} t_{i} E_{Z, i...

Question: 15.4

A beam having the cross-section shown in Fig. 15.13 is subjected to a bending moment of 1,500 Nm in a vertical plane. Calculate the maximum direct stress due to bending stating the point at which it acts.

Verified Answer:

The position of the centroid of the section may be...

Question: 5.19

A cantilever 800 mm long with a prop 500 mm from the wall deflects in accordance with the following observations when a point load of 40 N is applied to its end: Distance (mm) 0 100 200 300 400 500 600 700 800 Deflection (mm) 0 -0.3 -1.4 -2.5 -1.9 0 2.3 4.8 10.6 What is the angular rotation of the

Verified Answer:

The initial deflected shape of the cantilever is p...

Question: 23.1

A cantilever beam (Fig. 23.1) carries concentrated loads as shown. Calculate the distribution of stiffener loads and the shear flow distribution in the web panels, assuming that the latter are effective only in shear.

Verified Answer:

We note that stiffeners HKD and JK are required at...

Question: 4.11

A cantilever beam AB takes the form of a quadrant of a circle of radius, R, and is positioned on a horizontal plane. If the beam carries a vertically downward load, W, at its free end and its bending and torsional stiffnesses are EI and GJ, respectively, calculate the vertical component of the

Verified Answer:

A plan view of the beam is shown in Fig. 4.17. To ...

Question: 1.2

A cantilever beam of solid, circular cross-section supports a compressive load of 50 kN applied to its free end at a point 1.5 mm below a horizontal diameter in the vertical plane of symmetry together with a torque of 1200 Nm (Fig. 1.10). Calculate the direct and shear stresses on a plane inclined

Verified Answer:

The direct loading system is equivalent to an axia...

Question: 2.3

A cantilever of length L and depth 2h is in a state of plane stress. The cantilever is of unit thickness is rigidly supported at the end x = L, and loaded as shown in Fig. 2.3. Show that the stress function Φ = Ax^2 + Bx^2y + Cy^3 + D(5x^2y^3 – y^5) is valid for the beam and evaluate the constants

Verified Answer:

The stress function must satisfy Eq. (2.9). From t...

Question: 13.7

A civil, non-aerobatic aircraft has a wing loading of 2,400 N/m^2 and ∂CL/∂a = 5.0/rad. If n1 = 2.5 and F = 0.715, calculate the cruising speed for the gust case to be critical.

Verified Answer:

From Eq. (13.33),

n=1+\frac{\frac{1}...

Question: 8.5

A column of length 1 m has the cross-section shown in Fig. 8.18. If the ends of the column are pinned and free to warp, calculate its buckling load; E = 70,000 N/mm^2 , G = 30,000 N/mm^2.

Verified Answer:

In this case, the shear center S is positioned on ...

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