Midterm Exam AERO$310$ Fall $2024$

Problem $2[40][$CLO $3,$ PLO $1]$

An aircraft is hit by a vertical gust when it is flying at speed of $250\frac{m}{s}($TAS$)$ and altitude of

gradient of $50$ ft $.$ The aircraft has a maximum take$-$off weight of $300$ kN $,$ maximum zero fuel

weight of $225$ kN and maximum landing weight of $250$ kN $.$ It has a wing area of $S=100m^2$

and the lift slope of $\frac{del{C}_L}{\text{d}\text{e}\text{l}}=5\mathrm{.}0$ per rad. The maximum operating altitude of the aircraft is $50$

kft $.$ The air density at sea level and at $25$ kft are $1\mathrm{.}225k\frac{g}{m^3}$ and $0\mathrm{.}549394k\frac{g}{m^3},$ respectively.

Calculate the gust load factor according to FAR $25\mathrm{.}341$ regulation.

$($a$)$ Determine the maneuver load factor according to FAR $25\mathrm{.}337$

$($b$)$ Determine the gust load factor according to FAR $25\mathrm{.}341($a$).$

$($c$)$ Find the most critical load factor.