NOVELTY - The apparatus has a top member including a single piece of solid material of a first length, and a bottom member including a single piece of rubber material of a second length. The top member is operably disposed on the bottom member with the first length perpendicular to the second length in a mounting configuration configured to provide a fixed horizontal offset distance and an adjustable vertical offset distance between each upward rounded bump of the bottom member and nearest contact section of the top member for clamping a frameless solar module (301).    USE - Apparatus for mounting frameless solar module made on large planar glass panels.    ADVANTAGE - The apparatus is properly designed for directly clamping the glass surface especially with consideration of providing enough support while minimizing any strain force that may result in the breakage of glass substrate. A simple design in terms of assembly structure and material selection for the assembling members is provided, achieving cost saving advantages in mounting material usage and installation of a series of frameless solar modules.    DETAILED DESCRIPTION - The top member has a flat base portion with a first central hole and two wing-span portions out-extending from two opposite sides of the flat base portion respectively with two tilted arms connected to two contact sections. The single piece of solid material has a uniform cross-sectional shape throughout the first length such that the two contact sections are positioned from each other by a first width and in a same height above the flat base portion. The bottom member has a shaped middle section with a second central hole and two planar sections respectively out-extending with a common planar bottom from two opposite sides of the shaped middle section and ending with two partially rounded bumps. The shaped middle section is configured to seamlessly match a shape with the flat base portion and part of the tilted arms of the top member. The single piece of rubber material has a uniform cross-sectional shape throughout a second width. An INDEPENDENT CLAIM is also included for a method for clamping frameless solar modules laminated with planar glass panels.    DESCRIPTION OF DRAWING(S) - The drawing is a top view showing frameless solar modules mounted in series on a pair of mounting rail structures.    Mounting rail structures (201,202)    Solar modules (301)    Specific clamping device region (501)    Offset distance between center of clamping device and nearest transverse edge of each solar module (Dedge)    Center-to-center separation of solar modules (Srail)