A structure is formed with a beam, floor and ceiling joists, studs, top and bottom plates, rafters and headers consisting of composite wooden members. The composite wood members include aligned pairs of elongated pieces, each piece including a narrow face, a wide face and a pair of radial faces. The faces extend longitudinally in relation to the piece. The pieces are bonded together at their narrow faces between the wide faces. The transverse cross-sectional geometry of each piece comprises a trapezoid with an apex side at the narrow face, a base side at the wide face and a pair of radial sides; each radial side being associated with a respective radial face. The members may be formed with pairs of tapered pieces oriented in opposite relation with respect to each other. A method of producing the composite wooden member includes the steps of radially cutting a log into a plurality of sector-shaped segments; longitudinally cutting each segment at its apex to form a narrow face and longitudinally cutting each segment at its chord to form a wide face; the resulting elongated piece having a trapezoidal cross-section. Adhesive is applied on one of the narrow faces and the elongated pieces are clamped together with their narrow faces together in mutually opposing relationship to produce the composite wood member.