Problem_09_21 - Problem 9.21 Given Determine the radial...

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Problem 9.21 Given: Determine the radial stress at the junction of the web and the inner flange of the curved beam portion of the clamp in Problem 9.20. Neglect stress concentrations. Solution: The cross section is divided into the 3 sub-sections shown. λ b p 2 rt = λ i 12 2 29 14 0.355 = := λ o 7 2 72 8 0.085 = := Interpolating from Table 9.3 gives: α i 0.950 0.917 .950 () λ i 0.3 0.1 + 0.932 = := 1 2 3 b pi α i 12 mm 11.183 mm = := α o 1.0 := A 1 12 mm 2b pi + 14 mm 481.137mm 2 = := R 1 22 mm 7mm + 29 mm = := Am 1 12 mm pi + ln 36 22 16.925mm = := A 2 32 mm 12 mm 384 mm 2 = := A 3 26 mm 8 mm 208 mm 2 = := R 2 36 mm 16 mm + 52 mm = := R 3 68 mm 4mm + 72 mm = := Am 2 12 mm ln 68 36 7.632mm = := Am 3 26 mm ln 76 68 2.892mm = := AA 1 A 2 + A 3 + 1.073 10 3 × mm 2 = := Am Am 1 Am 2 + Am 3 + 27.449mm
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