4. A light aircraft has MTOW of 1000 kg, a wing loading of 60 kg/m2, and an aspect ratio of 6. a. Show that the wing span is 10 m, and that the lift could be approximated by a uniform distributed load of 0.981 kN/m. b. The wing spar is a continuous beam, with EI = 106 Nm2. The fuselage attaches via two lugs located at either side, as shown in Fig Q4. Assuming the attachments to be pinned supports, plot shear and bending moment diagrams for the wing, assuming the uniform lift distribution given above. Exploit symmetry and use the Heaviside function in your answer. c. Calculate the vertical deflection of the midpoint of the wing spar, relative to the fuselage. d. It is proposed that a third support is located at the centre of the wing, again acting as a pinned support. What would be the vertical reaction at

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4. A light aircraft has MTOW of 1000 kg, a wing loading of 60 kg/m?, and an aspect
ratio of 6.
a. Show that the wing span is 10 m, and that the lift could be approximated
by a uniform distributed load of 0.981 kN/m.
b. The wing spar is a continuous beam, with El = 10® Nm?. The fuselage
attaches via two lugs located at either side, as shown in Fig Q4.
Assuming the attachments to be pinned supports, plot shear and
bending moment diagrams for the wing, assuming the uniform lift
distribution given above. Exploit symmetry and use the Heaviside
function in your answer.
c. Calculate the vertical deflection of the midpoint of the wing spar, relative
to the fuselage.
d. It is proposed that a third support is located at the centre of the wing,
again acting as a pinned support. What would be the vertical reaction at
this support?
1.5 m
Transcribed Image Text:4. A light aircraft has MTOW of 1000 kg, a wing loading of 60 kg/m?, and an aspect ratio of 6. a. Show that the wing span is 10 m, and that the lift could be approximated by a uniform distributed load of 0.981 kN/m. b. The wing spar is a continuous beam, with El = 10® Nm?. The fuselage attaches via two lugs located at either side, as shown in Fig Q4. Assuming the attachments to be pinned supports, plot shear and bending moment diagrams for the wing, assuming the uniform lift distribution given above. Exploit symmetry and use the Heaviside function in your answer. c. Calculate the vertical deflection of the midpoint of the wing spar, relative to the fuselage. d. It is proposed that a third support is located at the centre of the wing, again acting as a pinned support. What would be the vertical reaction at this support? 1.5 m
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