Question

Problem (20 pts) The cross section through the fuselage of an aircraft is shown. The interior of the aircraft is pressurized at 2000 lb/ft2 (air pressure at sea level), and the outside of the aircraft is at a pressure of 600 lb/ft2 (air pressure at 30,000 ft altitude). Assume the air pressure outside the aircraft is uniform over the surface of the fuselage. The door ABC has quarter-circular shape with 10 ft depth (into the plane of the figure); it is hinged at A, and there is a frictionless contact at C. Points B, D, E and F are pins. Hydraulic cylinder EF is horizontal and bar DE is vertical. Considering the air pressures only, determine the force that hydraulic cylinder EF must support to just keep the door closed (state your result using a positive value for tension and negative for compression) 3 ft 600 lb/ft 2000 lb/ft2

Answer 1

iven that, The inteio of the oircxaft is pressurized is aoo« Jbl ji The outside ot 4he aircvoft s at Pressure is 600 lb Ait Psessuse at 3o.oo ottitude quotki - citculas Shape with tott de . F. (P,-Pg)ว่า d@ g1 cose moment about A au cos θ@stn) d@-t 1. CP, a ) F Sin(15 C3 COS EB E8

EB C cos (15 3sin (15) Given that EB Co-966+3(0.a588) 5 x 60o00 0.966 + o7764 9800000 -74&4

ED EB FER Fef EF 5646 o1q cos C5 FEF FE F 56844 a6.079 (o.966) = FEF54335.5q.