Question

Stress concentration:

Determine the maximum stress concentration of a 0.2 inch thick metal plate that is 10 inches long, 2 inches wide. The plate has a fixed support on one side and iis in axial tension with a force of 100 lbs on the other side.The plate has three holes with a diameter of 0.5 inches for each hole that are spaced 1 inch apart with the middle hole centered at 5 inches from each edge. (holes in the diagram may not look the same size but they all are)

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Answer 1

5.1 Given data from problem t= Thickness of plate = 9.2 m Le length of the plate a lon w = width of the plate is 2in Arial tenside force = 100lbs ter of each hole = 0.5 m 200 loolbs & rain toolbs Let P = 100lb. W = zin L=10m D=0.5 in Kom ① Stress at 0.5 in 100db diameter P hole {-0,5)(0.2) - (-03 € =50 = 133.33 lb/in2 C) - 0,5) = 0.25 . Kt = 2.5 6 max = maximum stress concentration - KỲ II : (2.5) 033.33) Cmax = 333.32545/152 0.5 in dia metoo hole ③ Stress at E 1oolb — (2-0.5) (0.2) = 133.33 16/12 - 0.25 kt = 2.5 omax = 2.5% 133.33 Tomas= 333 . 325 Mb/ inz

③ Similarly - for 3rd hole 100lb. z = 133.33 40/42 too = 12:05 (0.2) in 6 max in 2 = 2.5x133.33.b Kt= 2.5 333, 325 tbl in 2 for whole plate & stres concentration for who maximum entration Emax) date = 8x333,325 ell inz = 999.975 lb/in2 = 1000 llo/in?