A safety grip system comprises first and second support structures wherein the second support structure extends transverse to the first support structure. The first support structure is provided with a first longitudinally extending safety grip at one end thereof. The first longitudinally extending safety grip on the end of the first support structure has an opening therethrough through which the second support structure extends, whereby the first longitudinally extending safety grip is non-rotatably secured to the first support structure. A second longitudinally extending safety grip is provided on the first support structure and has engagement members that inter-engage engagement members provide don the first longitudinally extending safety grip, whereby the second longitudinally extending safety grip is non-rotatably secured to the first support structure.