Problem_08_26 - V e ⋅ π − 2 π 2 θ R q ⋅ R ⋅ ⌠...

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Problem 8.26 Given: A beam is built up of a thin steel sheet of thickness t = 0.60 mm bent into a semicircle as shown. Two 25-mm square stringers are welded to the thin web as shown. Find: The shear center Solution: I x 22 5mm () 2 60 mm 0.6 mm + 25 mm 2 + 2 := I x 6.6795 10 6 × mm 4 = A differential size force on the web is dF q R d θ = Summing moments about the center of the circle
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Unformatted text preview: V e' ⋅ π − 2 π 2 θ R q ⋅ R ⋅ ⌠ ⎮ ⎮ ⎮ ⌡ d = V e' ⋅ π R 2 ⋅ q ⋅ = → V e' ⋅ π R 2 ⋅ V I x ⋅ A' ⋅ y' ⋅ = e π 60.3 mm ⋅ ( ) 2 ⋅ 1 I x ⋅ 25 mm ⋅ ( ) 2 ⋅ 60.6 mm ⋅ 25 mm ⋅ 2 + ⎛ ⎝ ⎞ ⎠ ⋅ 78.133 mm = :=...
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