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Both fore and aft Center-of-gravity issues have caused airline crashes in the past although usually not from passengers but rather shifting cargo not properly secured. I am not aware of any sideways loading issues that could not be corrected with aileron (assuming both wings are attached).
In an airplane, the propeller moves and pushes back the air; consequently, the air pushes the propeller (and thus the aircraft) in the opposite direction (forward). This principle applies whenever two things act upon each other.
Introduction. Compliance with the weight and balance limits of any aircraft is critical to flight safety. Operating above the maximum weight limitation compromises the structural integrity of an aircraft and adversely affects its performance. Operation with the center of gravity (CG) outside the approved limits results in control difficulty.
Weight and balance is directly related to the stability of the aircraft. Exceeding weight and balance limitations voids any assurance of the aircraft's ability to perform in flight. Instructions and examples can be found in the aircraft manual under section 6 for your specific aircraft.
The primary concern in balancing an aircraft is the fore and aft location of the CG along the longitudinal axis. The CG is not necessarily a fixed point; its location depends on the distribution of weight in the aircraft. As variable load items are shifted or expended, there is a resultant shift in CG location.
The center of gravity is not necessarily a fixed point; its location depends on the distribution of weight in the airplane. As variable load items are shifted or expended, there is a resultant shift in CG location. The pilot should realize that if the CG of an airplane is displaced
4.2.2 Lecture: Load Paths. Course subject (s) Module 4. Loads and Stresses. In the previous lecture, we have seen which type of external loads are acting on the airframe. Now you will see that we need to create a load path in the internal structure for each of these external loads.