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According to my textbook on the engineering of masonry structures, even good mortar is considered nearly worthless in terms of tensile strength, and its shear strength is nothing to write home about. Its primary purpose is to act as "grout" between successive courses, and thus enhance the downward compressive load bearing capability of the wall. The wall can resist inward soil pressure due to the dead weight of the block and the building above, plus the sliding resistance of the footing at the base, plus any restraint offered by the floor or wall above, plus whatever shear strength is provided by the mortar. Yes, your mortar has deteriorated. But if the wall had to restrain a significant load, even good mortar would not necessarily succeed. It would have far better to fill every other (or every third, or fourth) cavity in the block with grout and rebar. This makes a vastly stronger wall than ordinary unreinforced block. Or take Case450's advice, and replace it with reinforced concrete. I think the real question here is why there is so much inward force on a 40 inch tall wall. As anyone with a backhoe can tell you, ordinary dry silt or clay soil can be cut at least this deep to a vertical slope which will not collapse (i.e. zero inward pressure). Moist, or sandy soil exerts a modest inward pressure, which gets worse as the wall gets taller. But at 40 inches, it is generally considered possible to hold back this much soil with an ungrouted block wall. Soil which is completely saturated with water, or (worse) a wall which is trying to dam up ponding water, is quite another matter. You can't create "Bonneville dam", even a 40 inch scale model, using unreinforced block. The hydrostatic pressure is much too high. While you may not care if the inside of the structure gets wet due to leaks, nor will there be freeze/thaw effects due to frost (the "not heated" discussion). Nevertheless, it is important to provide drainage to get the water out of there, so the wall doesn't have to hold the water back (which it can't). If there is a new driveway located within (say) 8 feet of the face of the block wall, I would say that is your culprit in the collapse. This is especially true if you did any filling of the area prior to installing the driveway. The water saturated and possibly uncompacted soil cannot fully support the weight of the vehicles, and is trying to "squish" out sideways against a wall which is ill-equipped to resist the large resulting force. You have no real choice but to dig out the soil on the outside of the wall. You can't move the wall outward against the force of the soil no matter what you try. On the inside, I suggest you provide temporary shoring and alternative support to the the floor, wall, and roof now being held by the block. Then rebuild the wall, using rebar and grout or following the concrete suggestions of Case450. Then provide for drainage on the outside face of the wall to prevent the ponding and saturation problems, and backfill with good draining and easily compacted rock. I'd try something like 1.5 inch drain rock, or even larger rock without fines, as that stuff is self-compacting and drains well.
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