Our Paper is a laboratory modeling research to evaluate the efficiency of finite element model in emulation the behavior of R.C. beams with shear deficiencies (ultimate load, mechanism of cracking and failure, load-deflection behavior) strengthened with GFRP strips. We tested nine R.C. beams 200x30x16 cm in three groups, the first consists of three R.C.beams for comparing, the second consists of three strengthened R.C. beams with two sides vertical GFRP strips, and the third also consists of three strengthened R.C. beams with two sides inclined (45°) GFRP strips. We modeled these beams by advanced finite element program Ansys10, and we get results agreed with our laboratory study.