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Aircraft Structural Components Questions and Answers

31.

Four stringers of \( 300 \) mm\( ^2 \) each sit at the corners of a box \( 0.5 \) m deep. Ignoring the skin, the second moment of area about the neutral axis is

Answer: C

Each of the four areas lies \( 0.25 \) m from the axis, so \( I = 4 \times 300 \times 10^{-6} \times 0.25^2 = 4 \times 3 \times 10^{-4} \times 0.0625 = 7.5 \times 10^{-5} \) m\( ^4 \). Booming off the stringers like this is the standard idealisation for a stiffened box.

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32.

A fuselage skin of \( 1.2 \) mm thickness and \( 1.8 \) m radius is to be limited to \( 90 \) MPa hoop stress. The maximum cabin differential is

Answer: D

Rearranging \( \sigma = pr/t \) gives \( p = \sigma t/r = 90 \times 10^6 \times 0.0012/1.8 = 60\,000 \) Pa. A differential of 60 kPa is representative of a transport cabin at cruise altitude, so this skin is about right for the duty.

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33.

A rivet of \( 4 \) mm diameter has a single-shear allowable stress of \( 220 \) MPa. Its shear strength is nearest to

Answer: A

The area is \( \pi \times 0.002^2 = 1.257 \times 10^{-5} \) m\( ^2 \), so the strength is \( 220 \times 10^6 \times 1.257 \times 10^{-5} = 2765 \) N. Rivet pitch in a seam follows directly from dividing the shear flow by a figure of this kind.

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34.

A seam carries a shear flow of \( 140 \) kN/m using rivets of \( 2.8 \) kN strength. The maximum pitch is

Answer: B

Each rivet must carry the flow over its own pitch, so \( p = 2800/140\,000 = 0.020 \) m. Pitches of around twenty to thirty millimetres are typical in a transport skin seam, and going much finer begins to weaken the sheet through the holes themselves.

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35.

A wing carries a lift of \( 400 \) kN with its centre of pressure \( 4.5 \) m from the root. The root bending moment is

Answer: C

Correct answer: 1800 kN m

\[ M = F \times d = 400 \times 4.5 = 1800\ \mathrm{kN\,m}. \] The centre of pressure is the point through which the resultant lift acts, so the moment about the root is simply that force times its distance. This is the load case that sizes the wing: the bending moment is greatest at the root and falls to zero at the tip, which is why spar caps taper outboard.

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36.

An aircraft of \( 60\,000 \) kg is designed to a limit load factor of \( 2.5 \). The limit wing load is nearest to

Answer: D

Correct answer: 1471 kN

Weight first, then the load factor: \[ 60{,}000 \times 9.81 = 588{,}600\ \mathrm{N} = 589\ \mathrm{kN}, \qquad 589 \times 2.5 = 1471\ \mathrm{kN}. \] The 588 kN offered is the 1 g weight with the load factor omitted, and 2943 kN is five times the weight. The ultimate load would be a further 1.5 times this, at about 2207 kN.

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37.

Applying the usual factor of safety to a limit load of \( 1471 \) kN gives an ultimate load of

Answer: A

Civil practice uses an ultimate factor of 1.5 on limit load, so \( 1.5 \times 1471 = 2207 \) kN. The structure must carry limit load without detrimental permanent deformation and ultimate load for three seconds without failure.

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38.

A tension member of \( 250 \) mm\( ^2 \) area carries \( 60 \) kN. Its stress is

Answer: B

Correct answer: 240 MPa

\[ \sigma = \frac{F}{A} = \frac{60{,}000\ \mathrm{N}}{250\ \mathrm{mm^2}} = 240\ \mathrm{N/mm^2} = 240\ \mathrm{MPa}. \] Newtons per square millimetre are megapascals directly, which makes this the convenient unit set for airframe work - no conversion is needed provided the force is in newtons and the area in square millimetres.

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39.

A member with an allowable stress of \( 480 \) MPa is working at \( 240 \) MPa. Its margin of safety is

Answer: C

The margin of safety is the allowable divided by the applied, less one, so \( 480/240 - 1 = 1.0 \). A margin of zero means the member is exactly at its allowable, and a negative value means it fails, so margins are quoted to show how much is in hand.

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40.

A domed rear pressure bulkhead of \( 2.0 \) m radius holds back \( 55 \) kPa. The total axial load on the fuselage is nearest to

Answer: D

The load is the pressure times the projected area, \( 55\,000 \times \pi \times 2.0^2 = 55\,000 \times 12.57 = 691 \) kN. This large force is reacted as tension in the fuselage shell, and reacting it in a light structure is why the bulkhead is domed rather than flat.

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