Adjustable support bracket that slides and adjusts within a channel

A method for using an adjustable bracket assembly with an open channel support construction, the steps comprising:

• providing a stabilizer member including a channel stabilizer plate having a T-shaped containing lip attached perpendicular to a first end of said stabilizer plate and a barrier wall attached perpendicular to a second opposite end of said stabilizer plate;
• providing a support member including a channel support plate shaped to fit within said stabilizer member laterally spaced between said containing lip and barrier wall having a T-shaped surface plate attached perpendicular to said support plate and a support lip attached perpendicular to one end of said surface plate;
• inserting the support member into said stabilizer member to adjoin said channel plates and to form a clamping structure between said containing and support lips, said support and stabilizer members being laterally spaced between said containing lip and barrier wall and forming said bracket assembly;
• inserting the adjoined stabilizer and support channel plates of said bracket assembly into the open channel of said wall;
• positioning said inserted bracket assembly within said channel;
• adjusting said support member between said containing lip and barrier wall with said wall to provide a space between said containing and supporting lip;
• and
• tightening a securing element through said support member to contact and separate said stabilizer plate from said support plate within said channel.