Figure i</pclass="msonormal">llustrates a cross-section of an aircraft fuselage. The floor beam of the aircraft is supported by the fuselage at its both ends. The floor beam has an ?-shaped cross-section and is subjected to 1.2 kN/m uniformly distributed load at its center. It is assumed that the fuselage only exerts vertical reactions on the ends of the beam andEI is constant.
Construct a free body diagram (FBD) of the floor beam, with all necessary labels.
(b) Determine the support reactions atA andD.
(c) Construct shear force and bending moment diagrams for the floor beam.
(d)Derive equation of beam deflection under the uniformly distributed load, in terms ofE,I, and distance x.
(e) Determine the maximum deflection of the floor beam in terms ofE andI.
(f)If the floor beam is made of rolled-steel W250×58 with Young’s modulus of 200 GPa, calculate the maximum deflection of the floor beam to the nearestmm.
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