A modular structure assembled with different prefabricated and measured interlocking component elements made from a light-weight synthetic material. The component elements, including vertical stud members, horizontal support members, wall truss support members, rafter members, slip connector members, corner connector members, and a center truss support member, are assembled in an interlocking manner with optional secondary fastening components for further securing of the elements together upon assembly where local building codes require such secondary fastening. The component elements are resistant to weather, rot and insect destruction and the assembly of the modular structure does not require tools or labor required in the assembly of structures using conventional building materials or lumber.