Abstract: A method and system for generating a set of framing plan solutions for a building construction project uses a combination of code-based, physical, and performance attribute constraints, parameters, and variables and a ranking system that together provide framing plan alternatives selected from a calculated set of all possible framing plans. The framing plan alternatives are selected in a logical manner that considers constraints that are required as well as user selected and weighted constraints. The set of framing plan alternatives are then ranked according to input from the designer and/or customer regarding the relative importance of each of the constraints, parameters, and variables of the building construction project.

Abstract: The present invention generally relates to a structure of liquid crystal cells and projection lenses and an image projection system using the same, and more specifically, to a structure of liquid crystal cells which rotates and is easily movable in a predetermined axial direction and projection lenses for an LCD projector easily movable in a predetermined axial direction and an image projection system using the same. The structure of the liquid crystal cells and the projection lenses in accordance with the present invention and the image projection system using the same can easily control the liquid crystal cells and the projection lenses in order to exactly adjust focuses thereof.