The cast iron block with cross-sectional dimensions of 2.5 in. by 2.5 in. consists of two pieces. The pieces are prevented from sliding along the 55° inclined joint by the steel key, which is 2.5 in. long. Determine the smallest safe dimensions b and h of the key if the working stresses are 40 ksi for cast iron in bearing and 50 ksi for the key in shear.

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60 kips -25 in Key 55 FIG. P1.57 60 kips -25 in Key 55 FIG. P1.57