Lots of technical inaccuracies in that last post.
Shear strength is a material's resistance to cleaving, such as by two opposing forces (i.e. the weight of your camper pushing down on your tongue at the front wall, and the tongue pushing back holding the front wall up). If your tongue were to split at this location w/o bending it means that there was insufficient cross sectional area for the material to handle the load.
Moment of inertia is a value calculated from the distribution of a member's cross sectional area that relates to its ability to resist forces and is used in engineering calculations to determine a member’s ability to resist bending over a given span. If your 2nd xmbr has insufficient moment of inertia (not enough material at its outer fibers, and/or the outer fibers too close to the center of the materials cross section, then it will bend in the middle due to downward force applied by the rear end of the tongue. The 2nd xmbr can be thought of as a simple beam supported at both ends by the trailer frame with a downward force applied by the tongue in the middle. If the span (width of the trailer) is too great, the moment of inertia is too low, or the load is too great, the member will bend in the middle.
The amount of load at the back of the tongue can be easily calculated using a force moment diagram. It is essentially a teeter-totter. We would have to make some assumptions to account for dynamic situations.
Since the trailer is not rotating in space we know that the torque load from the tongue trying to rotate about the front xmbr is resisted by the 2nd xmbr under most normal loading scenarios. The ball hitch is a reaction point holding the front of the tongue up, the front wall and 1st xmbr is a load point trying to push down on the tongue (assumed to be the centroid of a force moment diagram and is therefore assumed to be stationary) and therefore the 2nd xmbr must be holding the back of the tongue up, otherwise the whole thing would be spinning around the front xmbr. Now if we calculate the sum of the moments equal to zero (balance the torques so that there is no rotation) we can determine the force acting downward at the 2nd xmbr.
Let’s assume that the tongue weight is 200 lbs, that the tongue sticks out 4 ft and extends under the cabin 2 ft. Then 0 = (200 x 4) – (X x 2), solve for ‘X’. X = 800 / 2 = 400 lbs (static). The closer the 2nd xmbr is to the front of the trailer the higher the leverage is acting on it. The more dynamic the situation, the higher the loads become due to acceleration and deceleration forces.
Tensile strength is a materials ability to resist being stretched, and is given as the value at which a test sample fails.
Yield strength is the point that a material will no longer go back to its original shape when a load is removed, or the point at which it becomes plastic. If you know a materials tensile strength, a good rule of thumb is that the yield strength will be about 2/3 of this, and it is a good practice to allow a conservative 2/3 safety factor on top of yield. Mild steel has a tensile strength of 36 kips, so yield strength of 24 kips, and design max of 16 kips. YMMV.
Using this
mechanical properties calculator entering 1.5 inches long and 1/8 inch thick for both legs of an angle shaped section we get a puny moment of .07776
Using this
simple beam calculator with inputs of .07776 for moment of inertia, 2.5 ft for ‘a’, ‘b’ and ‘x’ (the center point we are interested in) and 400 lbs for the load (leave Young’s modulus as the default given for steel), we get .46 inches of deflection just sitting still. L/300 (length divided by 300) is a good rule of thumb for max beam deflection, so that’s pushing the limit right up to the margin under just static conditions. Take a big hit on a pothole or whoop and the dynamic load can easily triple, if not quadruple! Hit washboard all day long, hit over hit, and it is easy to see how all of those light, too close to the front xmbrs are giving up and bending down.
An easy way to strengthen the 2nd xmbr would be to turn it into a simple upside down truss with the peak under the rear of the tongue and the sloped members in tension running from the underside of the tongue to the points where the 2nd xmbr joins the top of the frame side rails. A piece of flat bar welded on should do the trick.
I won’t go into the engineering of trusses, but you can learn more about that
here.