OK, for illustration purposes, let's assume the following:
Pin box is square in cross section, 12" on a side.
Pin box wall thickness is 1/4", welded on front and rear sides with 100% penetration.
Pin box load plate is 12" below junction of pin box to frame.
Centerline of kingpin jaw recess is 3" below pin box load plate.
Gooseneck adapter bolts onto and extends 18" below pin box load plate.
5th wheel trailer weighs 16000 lbs.
Truck makes 0. 5G stop - trailer brakes not engaged - producing an 8000 lb retarding vector at the hitch/trailer interface.
First, let's consider the 5th wheel hitch. The 8000 lb retarding vector is applied by the jaws of the hitch to the kingpin bore recess. The pin attempts to produce a torque of 8000 lbs x 3 inches (0. 25 ft) = 2000 ft-lb. However, to induce a torque to the pin box-to-frame joint, the pin box must be free to rotate. Unfortunately, the 3000 lb pin load means that the pin box load plate remains firmly against the 5th wheel hitch load plate. This results in a shear load being applied at the pin box to frame junction. Since the pin box is welded at the front and rear, the area taking the 8000 lb shear load has a cross-sectional area of 12" per side x 2 sides x 0. 25" wall thickness = 6 square inches. The resultant shear stress is 8000 lbs / 6 square inches = 1333 pounds per square inch.
If we add the 5000 lb towed load behind the 5th wheel, under a 0. 5G stop, the additional retarding force generated would be 2500 lbs. This produces a total retarding force of 8000 + 2500 = 10500 lbs. Substituting 10500 in the calculation above, the resultant shear stress is 10500 lbs / 6 square inches = 1750 pounds per square inch - a 31. 3% increase over the 5th wheel base stress of 1333 pounds per square inch.
Now, with the gooseneck adapter installed and using the base case above (i. e. , no towed load behind the 5th wheel), the distance from the pin box to frame junction to the gooseneck ball is 12" + 18" = 30". The retarding vector of 8000 pounds is applied at the gooseneck ball, and with no 5th wheel hitch load plate present to prevent rotation, a torque of 8000 lbs x 30" (2. 5 feet) = 20000 ft-lb is produced, and the torque is trying to rotate the front of the pin box vertically downward while the rear of the pin box is being compressed against the 5th wheel frame. If we assume the rear of the pin box is fixed against the frame, a lever arm from the rear to the front of the pin box of 1 foot is created through which this 20000 ft-lb torque is applied. This produces a tensile force of 20000 ft-lb / 1 ft, or 20000 lbs in the front weld of the pin box. Since the front weld has an area of 12 inches long x 1/4" (0. 25 inch) thick, the weld area under tensile stress is 3 square inches. The stress level is 20000 lbs / 3 square inches = 6667 pounds per square inch. This represents an increase of 400% over the base 5th wheel stress of 1333 pounds per square inch and an increase of 281% over the 5th wheel + 5000 lb towed load stress of 1750 pounds per square inch.
Rusty