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You have to take all the forces for design of walls, axial, shear, lateral earth/water pressure. But usually walls are quite strong in compression and you can assume pinned connection of basement wall with floor. That way you design only for lateral earth/water pressure with propped-cantilever condition (fixed at base, pinned at top). Model a line element in a structural software and check the moments. a. For a triangular load (earth pressure) maximum moment at base will be -2WL/15 and positive moment somewhere above base will be 0.0596WL with 1/4th reaction on pinned support. where W is the total load in KN. b. For a uniform load (surcharge) max mom at base is WL²/8 and max positive moment is 9/128 WL² with 3/8th reaction going to pinned base. where W is the load per m in Kn/m. Then just add a and b together (superposition for linear analysis).

The type of structural framing system depend on many factors such as; energy dissipation characteristics interaction of rigid frame with shear walls and compatibility of deformations of slab and walls loss of stiffness and amount of cracking, softening, yielding self weight, concentration of shear forces, torsional resistance coupling of gravity and lateral loads etc It would be unwise to say anything without checking architectural features and constraints and the behavior/scope of structural design

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It will depend on your architectural constraints and seismic zone. All these systems have different ductility ratios. You need to choose accordingly. A lateral load system may not have any columns and beams, and in that system all lateral, as well as gravity forces, are resisted by shear walls. Such system is without vertical load carrying space frame.