A deployable rectangular truss with folding or removable chordal members and diagonals and orthogonal hinge joints for continuous and synchronous retraction and extension. The truss is rectangular in cross section, with four common chords on the corners. Two opposing sides of the truss have diagonals that meet at side joints. One or more end frames may be used to close off or mount one of more ends of the deployable truss. A plurality of telescoping transverse struts may extend between major joints on one side of the truss.