A blacksmith desires to forge a work piece using the anvil shown in Figure P11-20. The anvil is bolted to a workbench with 4-1/2 in. diameter bolts. The anvil is made of gray cast iron with E = 15 × 10³ ksi and v = 0.21. The tensile and compressive strengths are 31 ksi and 109 ksi, respectively. A surface pressure of 1 ksi is applied to the horn of the anvil during the forging process. Determine the maximum principal stress and its location on the anvil. (This problem is by Dan Baxter.)

Figure P11-20,

Figure P11-20 Anvil used for forging operation (showing dimensions in inch units) and typical finite element model (By Dan Baxter) (See the full-color insert for a color version of this figure.)

1.18 0.71 A 00.55x41 0.50 0.75 2.92 3.50 22.00 00'8I 075 225 8.00 485 2.20 0.71 3.33 2.76 R3.62 10.00 13.73 3.73 5.00 5.00 OSE 0.95 R2.50 98E 00L 00 | 1.15 007